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Journal for Research | Volume 03| Issue 01 | March 2017
ISSN: 2395-7549
All rights reserved by www.journal4research.org 24
Gravitation Induced Mechanical Movement in
Cells
Iresh Ranjan Bhattacharjee
Institute for Intrinsic Gravitation Biology, India
Abstract
Few promising dynamic features in biological cells were closely looked into through the lens of gravitation. Purpose of extra-
ordinary quantity (> 60%) of fluid in living mass was attributed primarily to provide neutral buoyancy where mass remains same,
but weight gets reduced i.e. net forces of effective gravity get reduced over biomass. Gravitational acceleration at the rate of
nanometer per Second Square at picometer distance of biomass would be effective force for mechanical movement under secluded
reduced gravitation. In medium, polygon structured agarose gel matrix was presumed to manipulate vector components on
bypassing barycenter. Ex vitro movement of DNA, RNA or protein fragments get slower as per gravitation induced molecular
weight and size while passing through gel during electrophoresis. Minimum quantity of biomass over medium as explants, packed
cell volume etc. was viewed as gravitational anchor. Membrane bound structure of cell comparable to planet within planet situation;
Gauss's law for gravity was advocated to describe flow of flux operating within and outside the cell. In vitro movement and
localization of macromolecules for nucleic acid, proteins, ribosomes, fats as well as organelles like rough and smooth endoplasmic
reticulum in eukaryotes cell were scrutinized. Nucleic acid having higher molar mass and density remains in dynamic barycentric
core position, proteins being intermediate over fats and lipids get distributed away from core under in vitro situation. These were
conjectured on gravitation principles – ‘higher the mass and density- higher would be the attractive force of gravitation’ or in
reverse way, ‘lesser would delay the attraction’. Ultracentrifugation, as commonly used to separate bio-particles on Svedberg unit,
was considered to be as the ‘inverse process of central action of gravitation’. Rate of sedimentation under ex vivo condition
approximately matches in vitro movements.
Keywords: Bio-Fluids, Neutral Buoyancy, Macromolecules, Molar Mass, Svedberg Unit
_______________________________________________________________________________________________________
I. INTRODUCTION
At molecular level, electrostatic force is no doubt playing a dominant role and gravitation is, so far, considered irreverent in living
organism. But biology starts with homogenous and heterogeneous accretion of mass from lower level of particle hierarchy to
higher level, say, from molecular level to macromolecular, organelles, cellular, multi-cellular to organism levels. Under neutral
buoyant condition, mass remains same, but weight gets reduced. Under reduced weight for such matching mass, there could be
possibility of gravitation induced mechanical movement of different macromolecules like nucleic acid, proteins, fats and lipids as
well as carbohydrates, either as homogenous matter or heterogeneous mixture. Few ‘package studies’ from scattered biological
materials and evidences had been conceived to examine the scope for being induced or explained through gravitation. Possibility
of molar mass and density based grading of homogenous macromolecules like nucleic acid, proteins, fats and lipids was examined
under in vitro dynamic situation including localization of organelles like endoplasmic reticulum with or without ribosomes. Finally,
Svedberg values used as general laboratory protocol for separation of heterogeneous bio-materials in molecular biology was
examined towards the possibility gravitational sorting of macromolecular through ultracentrifugation in order to reverse the process
under ex vivo gravitation.
Background of the Study
Gravitation is customarily considered as long distance phenomena of classical gravity acting on massive body at macroscopic
length scale at 106
to 1036
m on various astrophysical principles. Similarly presence of gravity at microscopic scale at 10-12
to 10-
36
m for small objects with weak gravity is being felt under particle physics mainly through quantum gravity that has properties
with particle-like and wave-like behaviors wherein mass tells space how to bend, and space tells mass how to move. In contrast
to above, biological micro world at mesoscopic scale (100
to 10-12
m) is kept outside the purview of gravitation because of historical
oversight. At mesoscopic length scale, interaction phenomena for mutual gravity are now-a-days getting some attention after
initiation of space research on life sciences. The 'Self gravitation bio', a new topic has been annexed in the study of biophysics by
the Biophysical Society (USA) in 2008 on being presented by the author1
. Self-gravitation bio contemplates the concepts of
gravitation induced phenomena in life science. Gravity as variable, or, as centre-stage componential force in life science was
proposed for the first time. But many of its working remains still elusive.
Biomass Gets Scope to Grow in Proportion to Buoyancy
‘Load’, ‘weight’ or ‘gravity’, are virtually synonymous. All work on mass. Under neutral buoyant condition, mass remains same,
but weight gets reduced. Buoyancy is the phenomena where a body experiences upward force or could make optimistic disposition
Gravitation Induced Mechanical Movement in Cells
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All rights reserved by www.journal4research.org 25
when it is partially or completely immersed in liquid. In water, hydrogen atoms are attached to the oxygen atom that causes one
side of the molecule to have a negative charge and the area in the opposite direction to have a positive charge. The resulting polarity
of charge causes molecules of water to be attracted to each other forming strong molecular bonds. Water again has a high surface
tension due to its adhesive and elastic property and tends to aggregate in drops on averting gravity's central pull. In encapsulated
(bounded by external membrane) condition, a ‘planet within planet’ situation arises in living cells and tissues.
On average, the body of an adult human contains 60% water. For example, a 70-kg man is made up of about 42 liters of total
water- 28 liters is intracellular water; 14 liters is found in extracellular fluid of which 3 liters is blood plasma etc. Also, all our vital
organs contain different amounts of water. On the other hand, in mothers' wombs (pregnant uterus); measurement of deepest,
unobstructed, vertical length (in centimeter) is considered important for fetal well-being. Amniotic fluid index (AFI) between 8-
18 is considered normal; < 5-6 is considered as Oligohydramnios where as > 20-24 is considered as Polyhydramnios. Proper role
of AFI remains elusive in health science. It is considered as a part of the undefined biophysical profile. Similarly, cytoplasm is
composed mainly of water and also contains enzymes, salts, organelles, and various organic molecules. But such extra-ordinary
quantity of fluid in the cell is not yet well appreciated. Most interesting fact is that whatever large quantity of fluid present, their
accumulation generally varies according to age, context etc. For instance, the body of a newborn is composed of more water (75%)
than that of an elderly person (50%). Also, the more muscular a body is, the more water it contains. Conversely, the more fat in
the body, the less water the body contains – as body fat has little water. In case of fetus it follows a distinct curve. For instance,
at 10 weeks gestation, amniotic fluid is 10 to 20 milliliters of volume, at 16 weeks gestation ~250 milliliters, at 33 weeks gestation
~800 milliliters, at 38-39 weeks reaches a plateau of ~1000 milliliters, and finally decreases at 40 weeks to ~800 milliliters. Biomass
thus gets scope to grow in proportion to buoyancy.
II. OBSERVATIONS ON BUOYANT GRAVITATIONAL ACCELERATION
Importance of large volume of water in living bodies and that too, in conformity with amount of mass it has to support, has not yet
suitably defined in life science. Let us examine the whole fluid gamut. With some superimposed data from life sciences, we would
try to interpolate and visualize the impact of presence of extra-ordinary quantity of fluids and the possible biophysical role it could
play.
Results and Discussion
Mass remain same but weight get reduced
A normal weight of a human child at birth is say 3200 gm on earth but at moon its weight would be 531 gm. The actual mass of
the human brain is about 1400 grams; however, the net weight of the brain suspended in the cerebrospinal fluid (CSF) is equivalent
to a mass of 25 grams. i.e. what is 56 gm in human body will appear to be 1 gram only. Thus under neutral buoyant condition a
body experiences a non-zero net force due to gravitational acceleration. Junwu Mu et al 2
made in vivo quantification of embryonic
and placental growth during gestation in mice using micro-ultrasound and pair-wise comparisons of in utero and ex utero
measurements. They reported that when gestational age of mice reaches 16.5 days, the non-invasive predictive body weight remains
to 0.792 gm in average. The crown-rump length (CRL) and abdominal circumference (AC) was reported to be the function of
gestation age (Illustration 1). The CRL and AC remain to be 16.22 mm and 23.4 mm respectively at that growth stage of mice.
The average radius of the fetus can thus be considered to be roughly 9.9 mm.
Fig. 1: Illustration 1
 Illustration 1. The pictures depict pair-wise comparisons of in utero through ultrasound and ex utero measurements of CRL
and abdominal circumference in mice (reproduced from Junwu Mu et al) 2
.
Magnitude of buoyant gravitational acceleration
Let us extend theoretically the fetal weight floating over amniotic fluid. Ignoring difference in the value of neutral buoyancy in
cerebrospinal and amniotic fluids, due to differential presence of salt and other matters at particular location, the neutral buoyant
weight of mice embryo of 0.792 gm would appear to be 0.014gm. The acceleration due to gravity on earth is about 9.8 m/s2
,
whereas at moon it is 1.62 m/s2
. However, if we calculate acceleration due to self-gravity in0.792 gram at 16 days of gestational
age of mice with radius 9.9 mm, separated by neutral buoyant force, as provided by Junwu Mu et al2
, using standard formula g(s)=
GM/R^2
, it comes to be about 5x10^-9
m/s^2
. That is free fall acceleration to the tune of 5 nanometer per second square in a massive
body of the planet may be negligible, but in an isolated living mass at a distance of 9.9 picometer (9.9 x 10^-12
meter), acceleration
of 5 nm/s^2
is quite a significant force. Mass would have experienced a force of 7.70-8
N downwards due to gravity, had it been
outside the fluid. But under neutral buoyant condition, mass would experience an upward resistance force/ upward force of the
water of 0.14-8
N. Fluid (water or air) have property to avert central pull of gravitation. In animal cell, for instance, cytosol (fluids)
works against central pull of self and mutual (interaction) gravitation, as shown in the free-body diagrams (Illustration 3). Effective
Gravitation Induced Mechanical Movement in Cells
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All rights reserved by www.journal4research.org 26
gravitational attraction would vary according to type of accretion of mass, say, homogenous and heterogeneous accretions often
used in gravitational language. The aforesaid statement is apparently a simplified version to a complex real time situation. There
may be situation where presence of standard fluid is absent, especially in adopting various laboratory techniques and evolving
protocols to isolate macromolecules. Let us examine process involved in gel electrophoresis and techniques associated with various
cell cultures in the laboratory.
Fig. 2: Illustration 2
 Illustration 2: Mass of mice embryo remains same but weight is reduced, i.e. net forces of effective gravity get reduced over
the embryo, as shown in the free-body diagrams.
Fig. 3: Illustration 3
 Illustration 3: Fluids of the cytosol work against central pull of gravity of both self and mutual gravitation, as demonstrated in
the free body diagram.
III. OBSERVATIONS ON GRAVITATION INDUCED MECHANICAL MOVEMENT OF MACROMOLECULES
Various ex vitro platform used for movement of macromolecules as physiologically relevant laboratory protocols were examined.
Few are noted here. Algae cannot multiply unless they get an adequate depth of liquid media. Bacteria cannot survive outside the
cultural media. Virus cannot survive without the support of any living host. Transfer a gene from one chromosome to other is to
be carried through plasmid or bacteriophage which is said to act as vehicle. In biotechnologies, an enzyme is to be coated in a
porus gel or fixed to a solid support which acts as media. Mucilaginous jelly which surrounds the embryo in amphibians such as
frogs, toads as well as in insects acts as seclusion mechanism. In microbial or biotechnological analysis protocols; agarose,
polyacrylamide, silica colloidal crystal (SCC), raffinose etc. are traditionally used. There is no controversy that during gel
electrophoresis impulse for movement of macromolecules is provided by artificial electrical force through cathode to anode.
Distance of macromolecular rafting is, however, based on gravitation induced molecular weight and sizes over the medium, say
agarose/ acrylamide for DNA, RNA or polyacrylamide for protein. The agarose gel is, in fact, a cross-linked matrix that is
somewhat like a three-dimensional mesh4
. Barycenter of a polygonal structure is the point that coincide center of mass or center
of gravity or peak gravitational attraction of multiple masses. In barycentric coordinates, path of moving particle or twisting
materials can continue to move with same speed in a collinear way, even if stretched. Moreover, it has an affine property. When
boiled agarose cools, it forms a loose molecular polygonal net resembling a sponge with required mechanical rigidity in soft
porous texture. When pores in the gel matrix are filled by the liquid phase, polygonal structured agarose gel matrix is presumed
to manipulate vector components on bypassing barycenter, so that with higher molecular weight and size of DNA, RNA or protein
fragments, ex vitro movement get slower while passing through gel during electrophoresis, on obeying gravitation induced
macromolecular movement. Thus apart from other known advantages, agarose gel gets the ability to withstand compressibility and
allows the positioned biomass to feel less stressed under distributed extrinsic gravitational load on manipulating barycenter of the
matrix (Illustrations 4).
Gravitation Induced Mechanical Movement in Cells
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Fig. 4: Illustration 4. Polygonal gel structure matrix of agarose allows effective stress distribution of extrinsic gravitational load on keeping
away from barycenter of different vector components.
Stress applied from own weight differs among RNA, DNA and protein fragments due to obvious reason of difference in molar
mass and density. Also agarose gels have larger 'pores' than polyacrylamide gels meaning that it packs less densely then an
equivalent amount of polyacrylamide. Therefore, considering variation in packing density, agarose is generally used for the
electrophoresis of weighty macromolecules such as DNA and RNA. Polyacrylamide is used for less weighty macromolecules such
as proteins for effective rafting. Similarly function of substrate stiffness and the mechanical environment5 are considered for
differentiation of both early and terminal embryonic stem cells (ESC), cell spreading and cell growth. Colony morphology
(spherical or flat) on cultured cells depends on the substrates formed of silica colloidal crystal (SCC) 6. For prion7, say ([Het-s]
prion having molecular weight of 35-36kDa – one of the smallest organisms) of the filamentous fungus Podospora anserina
transformants are required to be grown in liquid raffinose synthetic medium (SR) plus galactose. Molar mass of raffinose, a
trisaccharide composed of galactose, fructose, and glucose is 504.42 g/mol with density 1.723 g/cm3. Thus cushioning materials
varies from DNA to prion according to mechanical prop up support. Effective stress applied from own weight, net stress applied
from external load and substance’s resistance to uniform compression or stress (bulk modulus) cumulatively decide the seclusion
mechanism. D.H. Spaargaren introduced ‘metabolically inert infrastructure’8 as alternative nomenclature for describing fluids and
others required materials in living bodies. From the above, it is advantageous to introduce the same term in case of describing
fluids, medium etc.
Gravitation induced anchorage of biomass in metabolically inert infrastructure
A single cell cannot survive in isolated way, unless it is anchored by gravitation induced inertia. A minimal inertial mass is required
for survival. In plant tissue culture9, unless a callus (“explants”) of say above 500 mg or suspension of cultures of say, 3-4 cubic
centimeters (in terms of PCV - packed cell volume) is used, it is difficult to maintain continuity of life and growth from individual
cells. Similarly in the final volume for cell culture, maintaining cell density as low as 3 x 10^5 to high of more than 10–15x 10^6
cells/ml of inoculums are required. It is no doubt that such minimum quantity of mass is required for ‘anchorage’ in cell culture.
There is a literary proverb that “A Rolling stone gathers no moss”. This is not only a literary proverb but based on scientific
observation and fact of the commoners. Thus metabolically inert infrastructure can be defined as that which may be non-aligned
or may act in opposite direction of the accelerated energized biomass or on steady state condition being supported in barycentric
reference frame or may remain as relatively stationary or at constant velocity. These material infrastructures work as ‘astrophysical
distance’.
Gaussian surface of gravitational biomass
Gauss's law for gravity has the same mathematical relation to Newton's law of universal gravitation, as both describe inverse-
square interaction in a 3-dimensional space. The gravitational field or gravitational acceleration is a vector field – a vector at each
point of space and time. Gravitational force experienced by a bio-particle is equal to the mass of the bio-particle multiplied by the
gravitational field at that point. Gravitational flux is a surface integral of the gravitational field over a closed surface and is
proportional to the enclosed mass. Gauss's law for gravity would offer a more convenient and simple way to do a calculation than
Newton's law in biological situations. Total amount of gravitational mass would be the source of the effective gravitational field
enclosed in a closed surface. Such structure would therefore, work as a Gaussian surface in three-dimensional space. Divergence
would be in the form of expansion (positive) or compression (negative) of the vector field. Integration of flux of gravitational
vector fields or pressure forces within interior of the region and over region's boundary would obey the principles of continuity
depending on the strength of source or sink in the flow and symmetries of the situation acting on the submerged surface.
IV. OBSERVATIONS ON GRAVITATION INDUCED MECHANICAL MOVEMENT OF MACROMOLECULES
External fluid stresses, internal driving moments, and passive elastic resistance are generally considered as the primary cause of
rafting of macromolecules over fluids. Pressure exerted anywhere in a confined incompressible fluid is transmitted equally in all
directions throughout the fluid such that the pressure variations (initial differences) remain the same, as per Pascal's law or the
principle of transmission of fluid-pressure. Gravity is an all-time force – slow but steady. Omnipresent but slow moving gravitation
works similar to tortoise of the popular story ‘The Hare and The Tortoise’. Unless variation in gravitational forces gets accounted,
surface tension and hydrodynamic forces would appear to remain prominent. Say, if there is no resistance, equal and opposite
bounding force, there would not have been an unbalanced pressure to exert. Our feet move due to action of unbalanced force over
the ground out of resistance. Compressive action is needed to create unbalance pressure. Elastic force cannot be a substitution for
gravitational force. So let us analyze movement of various macromolecules through lens of gravitation.
Gravitation Induced Mechanical Movement in Cells
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Materials and Methods
Living cell is a complex structure. The typical size of prokaryotes (bacteria, archaea) cell is ~ 1–5 µm whereas eukaryotes (protists,
fungi, plants, animals) cell is ~ 10–100 µm. The comparatively bigger size eukaryotes have various organelles like cell nucleus,
mitochondria and chloroplasts; endoplasmic reticulum; golgi apparatus; lysosomes, peroxisomes; centrosome; vacuoles compared
to smaller size prokaryotes, that are simpler in terms organelles. In prokaryotes, there is no true nucleus, only nucleoid region -
RNA/protein synthesis is coupled in the cytoplasm. Here a word of note. We are not considering any specific situation, where
multiple forces are in action. For clarity of present study, we had limited our observation on eukaryotes and that too only cell
nucleus and endoplasmic reticulum among various organelles on their commonly known standard positions.
Results and discussions
Localization based on molar mass and density
Among the various macromolecules, as available in eukaryotes cells, nucleic acids have highest accretion of molar mass (say, 1000
– 5,000,000 g/mol) as well as density. Naturally, under gravitational (self) environment, nucleic acids would remain in the core
position on the principle ‘higher the mass and density- higher would be the attractive force of self gravity’. Whole genome in the
three-dimensional folded structure of DNA, if fully laid out would be around 6 feet long, but these fit into the nuclei of each of
cells in human body. The traditional accretion of nucleic acid under tightly packed condition at the dynamic central position of cell
demonstrates presence of compressive central force of gravitation. Proteins are intermediate in accretion of molar mass (say, 75 –
180 g/ mol) as well as higher density (say, 1.1 -1.4 g/ml), compared to molar mass of water molecule of only 18 g/mol. So it
remains traditionally in the cytosol away from dynamic nucleus. Fats and lipids, though of comparable accretion of molar mass
(say, 88 – 280 g/ mol) as that of proteins, but their accretions consist of lowest density (say, 0.8 – 0.9 g/ml). On obeying universal
gravitational law, fats and lipids would naturally find place in the dynamic periphery with passage of time (with exception due to
local effect) – in the cell membrane and similar other peripheral locations due to their lowest density, as per principle ‘lesser the
density of accreted material, there would be delay in gravitational attraction to the centre’.
Gravitation induced localization of nucleic acid / protein
If we look at the various location of macromolecules popularly known under ‘central dogma of molecular biology’, it is interesting
to note that replication of DNA (DNA - > DNA polymerase) and transcription of DNA to RNA (DNA - > RNA polymerase)
traditionally occurs in the dynamic nucleus and translation of RNA to Protein (Ribosome) occurs in the cytoplasm away from the
dynamic nucleus in the eukaryotic cell. Various exceptions for dynamic change of position with time were deliberately omitted to
avoid detraction of attention from focus of the topic. Most characteristic as well as distinctive property of gravitation is that all its
mass under influence would appear to be concentrated at the centre of mass (popularly known as centre of gravity). Molar mass of
nucleic acid (DNA, RNA) is higher than protein including ribosome. Ribosomes are large complexes of RNA and protein.
Ribosomes are composed of two complex subunits, each of which includes rRNA and protein components. Volume of nucleic acid
is comparatively less than protein. Therefore potential energy of gravitation could move dynamic nucleic acid to the central
position.
Protein localization is important in disease and therapy3
. We had earlier elaborated protein folding4
in context of gravitation. So
here we are not dealing various such dynamic complexities of proteins, except to mention that protein translation is confined to the
cytosol and protein synthesis take place either on free RNA ribosomes or on ribosomes associated with the Endoplasmic Reticulum
(ER).
Localization of Endoplasmic reticulum with or without ribosomes
Rough Endoplasmic Reticulum (RER) is coated with Ribosome. Ribosome is of higher molar mass than materials in endoplasmic
reticulum. Rough Endoplasmic reticulum (RER) is found to be distributed throughout the cell but its density is higher near the
dynamic nucleus or core. On the other hand, Smooth Endoplasmic reticulum (SER), not studded with ribosomes, remains lighter
and is found away from the dynamic core towards periphery. SER is associated with comparatively less dense fats (Illustration 4).
The presence of higher weight ribosome nearer to the dynamic nucleus and association of lesser density fat away from dynamic
nucleus within a living cell, thus, seems to obey the fundamental principle of universal gravitation within a eukaryotic cell.
Localization of carbohydrates
Molar mass of carbohydrates is 180 - 340 g/mol and their density is 1.4 g/ ml. Monomer carbohydrates undergo polymerization
and develop into long chained polysaccharides, such as cellulose, cellobioses, starch and glycogen (animal starch). Cellulose is
made up of glucose units linked by β1>4 linkages and it is an important component of cell wall. Similarly starch is also a polymer
of α1-4 linked glucose units and it is the main source of energy for all living cells. The most striking feature of monomer
carbohydrates is that these posses highest solubility (683 g/ L) gets miscible with protoplasm, due to which, in general,
carbohydrates cannot maintain its distinct location in a gravitational field, as do nucleic acid, proteins, fats and lipids. The
protoplasm is granular colloidal in nature, because many macromolecules, tiny organelles are suspended in it, also exhibits sol and
gel properties. Gutt5
expressed that granular system exhibit duel properties – in a gravitational field, it may have a self-bounding
free surface but also conform to the shape of the bounding wall, obeying continuum theories of fluid mechanics. As compacted
granular system, it can support shear stress in absence of a shearing velocity. Application of granular physics is still at nascent
stage of study in life science. There is need for in-depth study on application of granular physics in life science to advance further
on carbohydrate and other macromolecular movements.
Gravitation Induced Mechanical Movement in Cells
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Aforesaid description is typically based on simplifying assumptions. There may be gravity anomalies out of local variations of
the gravity field involving the effect of immediate local accretion of masses in the vicinity. Also in chronological event driven
phenomena, hydrostatic pressure increases with depth inside the surrounding matrix on being bounded by the peripheral structure.
Nucleus region then gets drifted outward from central region with increase in size, reflecting an eccentricity of the core in a dynamic
orienting system of coordinates, what we call an eccentric nucleus after passing of phase.
V. OBSERVATION ON ULTRACENTRIFUGATION AS INVERSE PROCESS OF CENTRAL ACTION OF GRAVITATION
Background of centrifugation
Ribosomal particles of eukaryotic cells are isolated from cell lysates by ultracentrifugation. Cesium salts are used as mediums of
density gradient centrifugation for DNA recovery and purification, as buoyant density of DNA is considered equal to cesium. The
guanine and thymine, monomer units of DNA are weak acids. Because of the large mass and high effective "density" of a Cs+ ion,
the buoyant density in a CsCl gradient of a polymer acid is to be increased by a partial alkaline titration with CsOH. Most interesting
part of the protocol is that separation of biomaterials is finally achieved through ultracentrifugation. Swedish chemist Theodor
Svedberg6
in 1925 developed the ultracentrifuge and won 1926 Nobel Prize in chemistry, through which sub cellular materials,
cells, large macromolecules like nucleic acids, proteins, ribosomes are now separated from a solution. Depending on rotor speed
of centrifugation (in anti-clockwise direction) and viscosity of the medium, various forces like centrifugal, inertial, gravitational,
buoyant and frictional forces work between particles and solutions. Centrifugal acceleration is given as rω2;
where r is the radial
distance from the rotation axis and ω is the angular velocity in radians per second. Sedimentation coefficients, expressed using
Svedberg unit (symbol S) depends on mass, density, size, and shape. It is the ratio of the speed of a substance in a centrifuge to its
acceleration in comparable units. When area is bigger, say, a folded paper, if allowed to drop would reach its terminal velocity
higher than the velocity of the same unfolded paper, as the area of the former would be larger and the friction force acting on it
would be higher. In centrifugation, objects with larger surface area will travel at a slower terminal velocity. Here question lies,
why Svedberg choose centrifugation as process of separation of biomaterials and not any chemical or other physical methods to
separate in dispersed colloidal systems? In gravitational terms, ‘centrifugation of any mass is an inverse process of central
attraction’. The Svedberg values basically tell us about the comparative molecular weight and shape of biomaterials under ex vivo
condition.
Material and Methods
Bacteria and eukaryotes have ribosomes that are structurally different. Bacteria have so-called 70S ribosomes and eukaryotes have
80S ribosomes. However, it is admitted fact that the ribosomes and their sub-particles are heterogeneous accretion. They are named
according to their sedimentation characteristics during centrifugation. The ribosomes subunits are named 60S and 40S for their
"size" in Svedberg units for eukaryotes. In prokaryotes (bacteria), these are 30S and 50S. These subunits are made up of three
forms of rRNA: 16S, 23S, and 5S. For bacterial ribosomes, ultracentrifugation yields intact ribosomes (70S) as well as separated
ribosomal subunits, the large subunit (50S) and the small subunit (30S). Within cells, ribosomes normally exist as a mixture of
joined and separate subunits. The largest particles (whole ribosomes) sediment nears the bottom of the tube, whereas the smaller
particles (separate 50S and 30S subunits) appear in upper fractions. Svedberg values are depicted as 1x g. The symbol g is
considered as relative centrifugal force; where relative means normalized to the acceleration due to gravity on earth g = 9.81 m/s^2
.
One Svedberg (S) unit is 10-13.
That is, a 1S particle travels a distance of at the rate of 10-13
m s-1
or 0.1 picometer per second.
Particles with higher values of S will travel proportionately faster, and increasing g force will also increase sedimentation rate. The
two eukaryotic ribosomal subunits have sedimentation coefficients of 40 x 10-13
and 60 x 10-13
, are referred to as the 40S and the
60S ribosomal subunits. The molecular mass of the 40S and 60S particles are 1.5 and 3.0 million g/mol, respectively. Thus, the
complete heterogeneous ribosome has a mass of approximately 4.5 million g/mol.
Results and Discussion
Under the influence of an acceleration of a million gravities (107
m/s2)
, a substance with a sedimentation coefficient of 80S
(80×10−13
s) would travel at 80 micrometers per second (80×10−6
m/s). Now, say, an 80S ribosome at 100 000 g centrifugation over
the sucrose cushion buffer; the rate of sedimentation is equal to 10-13
x 105
x 80 m per sec or 80 x 10-8
m s-1
. In order to travel, say,
10 cm (10-2
m), it would take 10-2
/ (80 x 10-8
) s i.e. approximately 8.5 hour. It means that 80⋅10−13
sec is the time that ribosome
would take to reach the terminal velocity in the fluid under ex vivo condition. Earlier, under in vitro situation, we have demonstrated
that free fall acceleration to the tune of nanometer per Second Square in an isolated living mass of the picometer distance.
Gravitation Induced Mechanical Movement in Cells
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Fig. 5: Illustration 5
 Illustration 5. Centrifugation facilitates reversing the process for separation of organelles on losing its compression memory.
Pre-centrifugation materials are arranged as per density gradient within cell and post-centrifugation depicts ex vivo
sedimentation or setting as per external gravitational or mutual fields.
Under ex vivo situation, for moving 10 cm distance at a speed of 80 micrometers per second, 80S ribosome is taking
approximately 8 hours 30 minutes. It may be considered as approximate matching between in vitro and ex vivo observations,
thereby indicating that both the process have their origin from same sources, first one is on ‘natural setting’ and second one is on
‘inverse or reverse of natural setting’. Pre-centrifugation materials under in vitro situation are arranged as per density gradient
influenced by the complex gravitation field ‘within the cell’. Post-centrifugation order of succession depicts ex vivo sedimentation
or setting as per external gravitational or mutual fields (Illustration 5). Centrifugation facilitates reversing the process for separation
of organelles on losing its compression memory under ex vivo condition.
Gravitation is slow but steady in its action, compared to electro-magnetic or electrostatic forces. Due to its slow rate of action,
gravity could generally evade one’s attention, especially amid electrostatic field. Detection or undertaking quantitative measures
for gravity is still a matter of challenge before physicists at the level of millimeter scale. So at this state of affairs, only way to
establish is to apply abductive reasoning on comparing various circumstantial evidences.
VI. CONCLUSIONS
In this paper, we examined four aspects of gravitation induced or linked phenomena in cells. First two aspects are on the
gravitational property of the platform, specially prevailing or are maintained at in vitro and ex vitro situation respectively. Third
aspect is on the gravitation induced in vitro mechanical movement in cells. Fourth and final aspect is on the principle applied to
understand gravitation induced position for different macromolecules. Accordingly, to get the purpose of presence of extra-
ordinary quantity (> 60%) of fluid in biological mass, say in cell or in organism under in vitro condition, it was observed that
biomass gets scope to grow or move in proportion to fluid buoyancy. Under neutral buoyant condition, mass remains same, but
weight gets reduced i.e. net forces of ‘effective extrinsic gravity’ get apparently reduced over the biomass. Effective gravitational
acceleration, as worked out approximately, would be to the tune of nanometer per second square at picometer distance in secluded
living mass. We also examined various ex vitro laboratory protocols pertaining medium. Barycenter of a polygon is the center of
mass or gravity and could be considered as the center of peak gravitational attraction in a vector field. Polygonal structured soft
porous texture agarose gel matrix in presence of fluid is presumed to manipulate vector components on bypassing barycenter, so
that with higher molecular weight and size of DNA, RNA or protein fragments, ex vitro movement get slower while passing
through gel during electrophoresis, on obeying gravitation induced macromolecular movement. Gel electrophoresis is carried out
for diagnosing DNA, RNA, protein bands. Biological mass are required to be gravitationally anchored with some minimum mass
in terms of explants, packed cell volume etc. in the medium for growth and development of living cell. Under planet within planet
situation, Gauss's law for gravity would be more appropriate to describe flow of flux operating within and outside biological cells.
Mechanical movement and localization of various macromolecules under in vitro condition including nucleic acid, proteins,
ribosomes, fats in eukaryotes cell as well as organelles like rough and smooth endoplasmic reticulum were conceptualized to be
induced by molar mass and density based gravitation. Nucleic acid having higher molar mass and density remains in dynamic core
position, proteins being intermediate over fats and lipids get distributed away from dynamic core under in vitro situation in general.
These were conjectured on gravitation principles – ‘higher the mass and the density- higher would be the attractive force of
gravitation’ or in reverse way, ‘lesser would delay the attraction’. Ultracentrifugation, as commonly used to separate bio-particles
on Svedberg unit, was considered to be as the ‘inverse process of central action of gravitation’. Centrifugation facilitates reversing
the process for separation of organelles on losing its compression memory under ex vivo condition. Rate of sedimentation under
ex vivo condition approximately matches in vitro movements.
Gravitation is a common phenomenon. But it remains unrecognized in living cell science. If knowledge on the presence of
gravitational flux over a closed surface is put into practice; it would ease out the measures adopted for health and against disease
for individuals. On simple manipulation of density of the fluid or medium, mechanical movement of say, disease causing
macromolecules can be restricted at opportune moment. Newton’s apple was defined on ‘sharp principle’ which is paying dividend
Gravitation Induced Mechanical Movement in Cells
(J4R/ Volume 03 / Issue 01 / 006)
All rights reserved by www.journal4research.org 31
over many trials and errors. Thus presence of gravitation would have to be felt through ‘observant mind’ empowered with the
knowledge on fundamental principles of gravitation; else gravitation would continue to be overlooked in life science.
ACKNOWLEDGEMENT
Author is grateful to Biophysical Society (USA) & International Union for Pure & Applied Biophysics (IUPAB) for introducing
topic ‘Self Gravitation Bio’ substituting nomenclature ‘Biomechanics of intrinsic gravity’ proposed by author. Author is grateful
to Indian Agricultural Research Institute, Indian Science Congress Association, Southern Cone biophysics Congress, European
Biophysical Societies Association, Italian Society of Pure and Applied Biophysics, Hungarian Biophysical Society, Biophysical
Society of China, WebmedCentral, Australian Society for Biophysics, International Astronautical Federation, social Medias,
friends and admirers over the globe for rendering scope for cross-disciplinary interactions. Author is grateful to Indian National
Science Academy, State Govt of Assam, Assam Agricultural University, relatives & friends for support including members of the
family for sharing tenderness and joy.
REFERENCES
[1] Bhattacharjee I.R. Self Gravity: The Major Investigation Gap in Life Science. Lambert Academic Publishing, 2013; ISBN 978-3-659-42698-8.
[2] Junwu Mu, John C Slevin, Dawei Qu, Sarah McCormick, and S Lee Adamson: In vivo quantification of embryonic and placental growth during gestation in
mice using micro-ultrasound Reprod Biol Endocrinol. 2008; 6: 34. Published online 2008 August 12. doi: 10.1186/1477-7827-6-34 PMCID: PMC2527569
[3] Laas, T. Gel structure of agarose. Doctoral thesis. Acta Universitatis Upasaliensis1975. http://students.washington.edu/uwfarm/2011/02/10/food-
science-2-0-fragments-of-heredity/
[4] Evans ND, Minelli C, Gentleman E, LaPointe V, Patankar SN, Kallivretaki M, Chen X, Roberts CJ, Stevens MM. Substrate stiffness affects early
differentiation events in embryonic stem cells. Eur Cell Mater. 2009 Sep 21; 18:1-13; discussion 13-4. http://www.ncbi.nlm.nih.gov/pubmed/19768669
[5] Ji L, LaPointe VL, Evans ND, Stevens MM. Changes in embryonic stem cell colony morphology and early differentiation markers driven by colloidal crystal
topographical cues. Eur Cell Mater. 2012 Feb 23; 23:135-46. http://www.ncbi.nlm.nih.gov/pubmed/22370796
[6] Vidhu Mathur, Vibha Taneja, Yidi Sun, Susan W. Liebman. Analyzing the birth and propagation of two distinct prions,[PSI+] and [Het-s]y, in yeast. 2010.
Cell Biology of Disease. http://www.molbiolcell.org/content/21/9/1449.full
[7] Li-Chun Huang, Wen-Lin Chen, Bau-Lian Huang. Tissue culture investigations of Bamboo II. Liquid suspension cultures of Bambusa, Phyllostachys, and
Sasa cells. 1988; Bot. Bull. Academia Sinica 29:177-182.
[8] Spaargaren, D.H. Metabolic rate and body size- A new view on the ‘Surface Law’ for basic metabolic rate. 1994; Acta Biotheoretica. 42, (4). 263-269.
[9] Hung Mien-Chie, Wolfgang Link. Protein localization in disease and therapy. J Cell Sci 2011.124:3381-3392;doi:10.1242/jcs.089110.
http://jcs.biologists.org/content/124/20/3381#page
[10] Bhattacharjee IR. Self-Gravity: The Major Investigation Gap in Life Science (Part I). WebmedCentral BIOPHYSICS 2013;4(6):WMC004279
http://www.webmedcentral.com/article_view/4279
[11] Gutt, Gary Michael. The physics of granular systems. Ph.D. Dissertation, 1989 California Institute of Technology. http://resolver.caltech.edu/CaltechETD:etd-
05302007-081951
[12] Pedersen KO. The development of Svedberg's ultracentrifuge. 1976 Jul; Biophys Chem. 5(1-2):3-18. PubMed PMID: 786403.

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GRAVITATION INDUCED MECHANICAL MOVEMENT IN CELLS

  • 1. Journal for Research | Volume 03| Issue 01 | March 2017 ISSN: 2395-7549 All rights reserved by www.journal4research.org 24 Gravitation Induced Mechanical Movement in Cells Iresh Ranjan Bhattacharjee Institute for Intrinsic Gravitation Biology, India Abstract Few promising dynamic features in biological cells were closely looked into through the lens of gravitation. Purpose of extra- ordinary quantity (> 60%) of fluid in living mass was attributed primarily to provide neutral buoyancy where mass remains same, but weight gets reduced i.e. net forces of effective gravity get reduced over biomass. Gravitational acceleration at the rate of nanometer per Second Square at picometer distance of biomass would be effective force for mechanical movement under secluded reduced gravitation. In medium, polygon structured agarose gel matrix was presumed to manipulate vector components on bypassing barycenter. Ex vitro movement of DNA, RNA or protein fragments get slower as per gravitation induced molecular weight and size while passing through gel during electrophoresis. Minimum quantity of biomass over medium as explants, packed cell volume etc. was viewed as gravitational anchor. Membrane bound structure of cell comparable to planet within planet situation; Gauss's law for gravity was advocated to describe flow of flux operating within and outside the cell. In vitro movement and localization of macromolecules for nucleic acid, proteins, ribosomes, fats as well as organelles like rough and smooth endoplasmic reticulum in eukaryotes cell were scrutinized. Nucleic acid having higher molar mass and density remains in dynamic barycentric core position, proteins being intermediate over fats and lipids get distributed away from core under in vitro situation. These were conjectured on gravitation principles – ‘higher the mass and density- higher would be the attractive force of gravitation’ or in reverse way, ‘lesser would delay the attraction’. Ultracentrifugation, as commonly used to separate bio-particles on Svedberg unit, was considered to be as the ‘inverse process of central action of gravitation’. Rate of sedimentation under ex vivo condition approximately matches in vitro movements. Keywords: Bio-Fluids, Neutral Buoyancy, Macromolecules, Molar Mass, Svedberg Unit _______________________________________________________________________________________________________ I. INTRODUCTION At molecular level, electrostatic force is no doubt playing a dominant role and gravitation is, so far, considered irreverent in living organism. But biology starts with homogenous and heterogeneous accretion of mass from lower level of particle hierarchy to higher level, say, from molecular level to macromolecular, organelles, cellular, multi-cellular to organism levels. Under neutral buoyant condition, mass remains same, but weight gets reduced. Under reduced weight for such matching mass, there could be possibility of gravitation induced mechanical movement of different macromolecules like nucleic acid, proteins, fats and lipids as well as carbohydrates, either as homogenous matter or heterogeneous mixture. Few ‘package studies’ from scattered biological materials and evidences had been conceived to examine the scope for being induced or explained through gravitation. Possibility of molar mass and density based grading of homogenous macromolecules like nucleic acid, proteins, fats and lipids was examined under in vitro dynamic situation including localization of organelles like endoplasmic reticulum with or without ribosomes. Finally, Svedberg values used as general laboratory protocol for separation of heterogeneous bio-materials in molecular biology was examined towards the possibility gravitational sorting of macromolecular through ultracentrifugation in order to reverse the process under ex vivo gravitation. Background of the Study Gravitation is customarily considered as long distance phenomena of classical gravity acting on massive body at macroscopic length scale at 106 to 1036 m on various astrophysical principles. Similarly presence of gravity at microscopic scale at 10-12 to 10- 36 m for small objects with weak gravity is being felt under particle physics mainly through quantum gravity that has properties with particle-like and wave-like behaviors wherein mass tells space how to bend, and space tells mass how to move. In contrast to above, biological micro world at mesoscopic scale (100 to 10-12 m) is kept outside the purview of gravitation because of historical oversight. At mesoscopic length scale, interaction phenomena for mutual gravity are now-a-days getting some attention after initiation of space research on life sciences. The 'Self gravitation bio', a new topic has been annexed in the study of biophysics by the Biophysical Society (USA) in 2008 on being presented by the author1 . Self-gravitation bio contemplates the concepts of gravitation induced phenomena in life science. Gravity as variable, or, as centre-stage componential force in life science was proposed for the first time. But many of its working remains still elusive. Biomass Gets Scope to Grow in Proportion to Buoyancy ‘Load’, ‘weight’ or ‘gravity’, are virtually synonymous. All work on mass. Under neutral buoyant condition, mass remains same, but weight gets reduced. Buoyancy is the phenomena where a body experiences upward force or could make optimistic disposition
  • 2. Gravitation Induced Mechanical Movement in Cells (J4R/ Volume 03 / Issue 01 / 006) All rights reserved by www.journal4research.org 25 when it is partially or completely immersed in liquid. In water, hydrogen atoms are attached to the oxygen atom that causes one side of the molecule to have a negative charge and the area in the opposite direction to have a positive charge. The resulting polarity of charge causes molecules of water to be attracted to each other forming strong molecular bonds. Water again has a high surface tension due to its adhesive and elastic property and tends to aggregate in drops on averting gravity's central pull. In encapsulated (bounded by external membrane) condition, a ‘planet within planet’ situation arises in living cells and tissues. On average, the body of an adult human contains 60% water. For example, a 70-kg man is made up of about 42 liters of total water- 28 liters is intracellular water; 14 liters is found in extracellular fluid of which 3 liters is blood plasma etc. Also, all our vital organs contain different amounts of water. On the other hand, in mothers' wombs (pregnant uterus); measurement of deepest, unobstructed, vertical length (in centimeter) is considered important for fetal well-being. Amniotic fluid index (AFI) between 8- 18 is considered normal; < 5-6 is considered as Oligohydramnios where as > 20-24 is considered as Polyhydramnios. Proper role of AFI remains elusive in health science. It is considered as a part of the undefined biophysical profile. Similarly, cytoplasm is composed mainly of water and also contains enzymes, salts, organelles, and various organic molecules. But such extra-ordinary quantity of fluid in the cell is not yet well appreciated. Most interesting fact is that whatever large quantity of fluid present, their accumulation generally varies according to age, context etc. For instance, the body of a newborn is composed of more water (75%) than that of an elderly person (50%). Also, the more muscular a body is, the more water it contains. Conversely, the more fat in the body, the less water the body contains – as body fat has little water. In case of fetus it follows a distinct curve. For instance, at 10 weeks gestation, amniotic fluid is 10 to 20 milliliters of volume, at 16 weeks gestation ~250 milliliters, at 33 weeks gestation ~800 milliliters, at 38-39 weeks reaches a plateau of ~1000 milliliters, and finally decreases at 40 weeks to ~800 milliliters. Biomass thus gets scope to grow in proportion to buoyancy. II. OBSERVATIONS ON BUOYANT GRAVITATIONAL ACCELERATION Importance of large volume of water in living bodies and that too, in conformity with amount of mass it has to support, has not yet suitably defined in life science. Let us examine the whole fluid gamut. With some superimposed data from life sciences, we would try to interpolate and visualize the impact of presence of extra-ordinary quantity of fluids and the possible biophysical role it could play. Results and Discussion Mass remain same but weight get reduced A normal weight of a human child at birth is say 3200 gm on earth but at moon its weight would be 531 gm. The actual mass of the human brain is about 1400 grams; however, the net weight of the brain suspended in the cerebrospinal fluid (CSF) is equivalent to a mass of 25 grams. i.e. what is 56 gm in human body will appear to be 1 gram only. Thus under neutral buoyant condition a body experiences a non-zero net force due to gravitational acceleration. Junwu Mu et al 2 made in vivo quantification of embryonic and placental growth during gestation in mice using micro-ultrasound and pair-wise comparisons of in utero and ex utero measurements. They reported that when gestational age of mice reaches 16.5 days, the non-invasive predictive body weight remains to 0.792 gm in average. The crown-rump length (CRL) and abdominal circumference (AC) was reported to be the function of gestation age (Illustration 1). The CRL and AC remain to be 16.22 mm and 23.4 mm respectively at that growth stage of mice. The average radius of the fetus can thus be considered to be roughly 9.9 mm. Fig. 1: Illustration 1  Illustration 1. The pictures depict pair-wise comparisons of in utero through ultrasound and ex utero measurements of CRL and abdominal circumference in mice (reproduced from Junwu Mu et al) 2 . Magnitude of buoyant gravitational acceleration Let us extend theoretically the fetal weight floating over amniotic fluid. Ignoring difference in the value of neutral buoyancy in cerebrospinal and amniotic fluids, due to differential presence of salt and other matters at particular location, the neutral buoyant weight of mice embryo of 0.792 gm would appear to be 0.014gm. The acceleration due to gravity on earth is about 9.8 m/s2 , whereas at moon it is 1.62 m/s2 . However, if we calculate acceleration due to self-gravity in0.792 gram at 16 days of gestational age of mice with radius 9.9 mm, separated by neutral buoyant force, as provided by Junwu Mu et al2 , using standard formula g(s)= GM/R^2 , it comes to be about 5x10^-9 m/s^2 . That is free fall acceleration to the tune of 5 nanometer per second square in a massive body of the planet may be negligible, but in an isolated living mass at a distance of 9.9 picometer (9.9 x 10^-12 meter), acceleration of 5 nm/s^2 is quite a significant force. Mass would have experienced a force of 7.70-8 N downwards due to gravity, had it been outside the fluid. But under neutral buoyant condition, mass would experience an upward resistance force/ upward force of the water of 0.14-8 N. Fluid (water or air) have property to avert central pull of gravitation. In animal cell, for instance, cytosol (fluids) works against central pull of self and mutual (interaction) gravitation, as shown in the free-body diagrams (Illustration 3). Effective
  • 3. Gravitation Induced Mechanical Movement in Cells (J4R/ Volume 03 / Issue 01 / 006) All rights reserved by www.journal4research.org 26 gravitational attraction would vary according to type of accretion of mass, say, homogenous and heterogeneous accretions often used in gravitational language. The aforesaid statement is apparently a simplified version to a complex real time situation. There may be situation where presence of standard fluid is absent, especially in adopting various laboratory techniques and evolving protocols to isolate macromolecules. Let us examine process involved in gel electrophoresis and techniques associated with various cell cultures in the laboratory. Fig. 2: Illustration 2  Illustration 2: Mass of mice embryo remains same but weight is reduced, i.e. net forces of effective gravity get reduced over the embryo, as shown in the free-body diagrams. Fig. 3: Illustration 3  Illustration 3: Fluids of the cytosol work against central pull of gravity of both self and mutual gravitation, as demonstrated in the free body diagram. III. OBSERVATIONS ON GRAVITATION INDUCED MECHANICAL MOVEMENT OF MACROMOLECULES Various ex vitro platform used for movement of macromolecules as physiologically relevant laboratory protocols were examined. Few are noted here. Algae cannot multiply unless they get an adequate depth of liquid media. Bacteria cannot survive outside the cultural media. Virus cannot survive without the support of any living host. Transfer a gene from one chromosome to other is to be carried through plasmid or bacteriophage which is said to act as vehicle. In biotechnologies, an enzyme is to be coated in a porus gel or fixed to a solid support which acts as media. Mucilaginous jelly which surrounds the embryo in amphibians such as frogs, toads as well as in insects acts as seclusion mechanism. In microbial or biotechnological analysis protocols; agarose, polyacrylamide, silica colloidal crystal (SCC), raffinose etc. are traditionally used. There is no controversy that during gel electrophoresis impulse for movement of macromolecules is provided by artificial electrical force through cathode to anode. Distance of macromolecular rafting is, however, based on gravitation induced molecular weight and sizes over the medium, say agarose/ acrylamide for DNA, RNA or polyacrylamide for protein. The agarose gel is, in fact, a cross-linked matrix that is somewhat like a three-dimensional mesh4 . Barycenter of a polygonal structure is the point that coincide center of mass or center of gravity or peak gravitational attraction of multiple masses. In barycentric coordinates, path of moving particle or twisting materials can continue to move with same speed in a collinear way, even if stretched. Moreover, it has an affine property. When boiled agarose cools, it forms a loose molecular polygonal net resembling a sponge with required mechanical rigidity in soft porous texture. When pores in the gel matrix are filled by the liquid phase, polygonal structured agarose gel matrix is presumed to manipulate vector components on bypassing barycenter, so that with higher molecular weight and size of DNA, RNA or protein fragments, ex vitro movement get slower while passing through gel during electrophoresis, on obeying gravitation induced macromolecular movement. Thus apart from other known advantages, agarose gel gets the ability to withstand compressibility and allows the positioned biomass to feel less stressed under distributed extrinsic gravitational load on manipulating barycenter of the matrix (Illustrations 4).
  • 4. Gravitation Induced Mechanical Movement in Cells (J4R/ Volume 03 / Issue 01 / 006) All rights reserved by www.journal4research.org 27 Fig. 4: Illustration 4. Polygonal gel structure matrix of agarose allows effective stress distribution of extrinsic gravitational load on keeping away from barycenter of different vector components. Stress applied from own weight differs among RNA, DNA and protein fragments due to obvious reason of difference in molar mass and density. Also agarose gels have larger 'pores' than polyacrylamide gels meaning that it packs less densely then an equivalent amount of polyacrylamide. Therefore, considering variation in packing density, agarose is generally used for the electrophoresis of weighty macromolecules such as DNA and RNA. Polyacrylamide is used for less weighty macromolecules such as proteins for effective rafting. Similarly function of substrate stiffness and the mechanical environment5 are considered for differentiation of both early and terminal embryonic stem cells (ESC), cell spreading and cell growth. Colony morphology (spherical or flat) on cultured cells depends on the substrates formed of silica colloidal crystal (SCC) 6. For prion7, say ([Het-s] prion having molecular weight of 35-36kDa – one of the smallest organisms) of the filamentous fungus Podospora anserina transformants are required to be grown in liquid raffinose synthetic medium (SR) plus galactose. Molar mass of raffinose, a trisaccharide composed of galactose, fructose, and glucose is 504.42 g/mol with density 1.723 g/cm3. Thus cushioning materials varies from DNA to prion according to mechanical prop up support. Effective stress applied from own weight, net stress applied from external load and substance’s resistance to uniform compression or stress (bulk modulus) cumulatively decide the seclusion mechanism. D.H. Spaargaren introduced ‘metabolically inert infrastructure’8 as alternative nomenclature for describing fluids and others required materials in living bodies. From the above, it is advantageous to introduce the same term in case of describing fluids, medium etc. Gravitation induced anchorage of biomass in metabolically inert infrastructure A single cell cannot survive in isolated way, unless it is anchored by gravitation induced inertia. A minimal inertial mass is required for survival. In plant tissue culture9, unless a callus (“explants”) of say above 500 mg or suspension of cultures of say, 3-4 cubic centimeters (in terms of PCV - packed cell volume) is used, it is difficult to maintain continuity of life and growth from individual cells. Similarly in the final volume for cell culture, maintaining cell density as low as 3 x 10^5 to high of more than 10–15x 10^6 cells/ml of inoculums are required. It is no doubt that such minimum quantity of mass is required for ‘anchorage’ in cell culture. There is a literary proverb that “A Rolling stone gathers no moss”. This is not only a literary proverb but based on scientific observation and fact of the commoners. Thus metabolically inert infrastructure can be defined as that which may be non-aligned or may act in opposite direction of the accelerated energized biomass or on steady state condition being supported in barycentric reference frame or may remain as relatively stationary or at constant velocity. These material infrastructures work as ‘astrophysical distance’. Gaussian surface of gravitational biomass Gauss's law for gravity has the same mathematical relation to Newton's law of universal gravitation, as both describe inverse- square interaction in a 3-dimensional space. The gravitational field or gravitational acceleration is a vector field – a vector at each point of space and time. Gravitational force experienced by a bio-particle is equal to the mass of the bio-particle multiplied by the gravitational field at that point. Gravitational flux is a surface integral of the gravitational field over a closed surface and is proportional to the enclosed mass. Gauss's law for gravity would offer a more convenient and simple way to do a calculation than Newton's law in biological situations. Total amount of gravitational mass would be the source of the effective gravitational field enclosed in a closed surface. Such structure would therefore, work as a Gaussian surface in three-dimensional space. Divergence would be in the form of expansion (positive) or compression (negative) of the vector field. Integration of flux of gravitational vector fields or pressure forces within interior of the region and over region's boundary would obey the principles of continuity depending on the strength of source or sink in the flow and symmetries of the situation acting on the submerged surface. IV. OBSERVATIONS ON GRAVITATION INDUCED MECHANICAL MOVEMENT OF MACROMOLECULES External fluid stresses, internal driving moments, and passive elastic resistance are generally considered as the primary cause of rafting of macromolecules over fluids. Pressure exerted anywhere in a confined incompressible fluid is transmitted equally in all directions throughout the fluid such that the pressure variations (initial differences) remain the same, as per Pascal's law or the principle of transmission of fluid-pressure. Gravity is an all-time force – slow but steady. Omnipresent but slow moving gravitation works similar to tortoise of the popular story ‘The Hare and The Tortoise’. Unless variation in gravitational forces gets accounted, surface tension and hydrodynamic forces would appear to remain prominent. Say, if there is no resistance, equal and opposite bounding force, there would not have been an unbalanced pressure to exert. Our feet move due to action of unbalanced force over the ground out of resistance. Compressive action is needed to create unbalance pressure. Elastic force cannot be a substitution for gravitational force. So let us analyze movement of various macromolecules through lens of gravitation.
  • 5. Gravitation Induced Mechanical Movement in Cells (J4R/ Volume 03 / Issue 01 / 006) All rights reserved by www.journal4research.org 28 Materials and Methods Living cell is a complex structure. The typical size of prokaryotes (bacteria, archaea) cell is ~ 1–5 µm whereas eukaryotes (protists, fungi, plants, animals) cell is ~ 10–100 µm. The comparatively bigger size eukaryotes have various organelles like cell nucleus, mitochondria and chloroplasts; endoplasmic reticulum; golgi apparatus; lysosomes, peroxisomes; centrosome; vacuoles compared to smaller size prokaryotes, that are simpler in terms organelles. In prokaryotes, there is no true nucleus, only nucleoid region - RNA/protein synthesis is coupled in the cytoplasm. Here a word of note. We are not considering any specific situation, where multiple forces are in action. For clarity of present study, we had limited our observation on eukaryotes and that too only cell nucleus and endoplasmic reticulum among various organelles on their commonly known standard positions. Results and discussions Localization based on molar mass and density Among the various macromolecules, as available in eukaryotes cells, nucleic acids have highest accretion of molar mass (say, 1000 – 5,000,000 g/mol) as well as density. Naturally, under gravitational (self) environment, nucleic acids would remain in the core position on the principle ‘higher the mass and density- higher would be the attractive force of self gravity’. Whole genome in the three-dimensional folded structure of DNA, if fully laid out would be around 6 feet long, but these fit into the nuclei of each of cells in human body. The traditional accretion of nucleic acid under tightly packed condition at the dynamic central position of cell demonstrates presence of compressive central force of gravitation. Proteins are intermediate in accretion of molar mass (say, 75 – 180 g/ mol) as well as higher density (say, 1.1 -1.4 g/ml), compared to molar mass of water molecule of only 18 g/mol. So it remains traditionally in the cytosol away from dynamic nucleus. Fats and lipids, though of comparable accretion of molar mass (say, 88 – 280 g/ mol) as that of proteins, but their accretions consist of lowest density (say, 0.8 – 0.9 g/ml). On obeying universal gravitational law, fats and lipids would naturally find place in the dynamic periphery with passage of time (with exception due to local effect) – in the cell membrane and similar other peripheral locations due to their lowest density, as per principle ‘lesser the density of accreted material, there would be delay in gravitational attraction to the centre’. Gravitation induced localization of nucleic acid / protein If we look at the various location of macromolecules popularly known under ‘central dogma of molecular biology’, it is interesting to note that replication of DNA (DNA - > DNA polymerase) and transcription of DNA to RNA (DNA - > RNA polymerase) traditionally occurs in the dynamic nucleus and translation of RNA to Protein (Ribosome) occurs in the cytoplasm away from the dynamic nucleus in the eukaryotic cell. Various exceptions for dynamic change of position with time were deliberately omitted to avoid detraction of attention from focus of the topic. Most characteristic as well as distinctive property of gravitation is that all its mass under influence would appear to be concentrated at the centre of mass (popularly known as centre of gravity). Molar mass of nucleic acid (DNA, RNA) is higher than protein including ribosome. Ribosomes are large complexes of RNA and protein. Ribosomes are composed of two complex subunits, each of which includes rRNA and protein components. Volume of nucleic acid is comparatively less than protein. Therefore potential energy of gravitation could move dynamic nucleic acid to the central position. Protein localization is important in disease and therapy3 . We had earlier elaborated protein folding4 in context of gravitation. So here we are not dealing various such dynamic complexities of proteins, except to mention that protein translation is confined to the cytosol and protein synthesis take place either on free RNA ribosomes or on ribosomes associated with the Endoplasmic Reticulum (ER). Localization of Endoplasmic reticulum with or without ribosomes Rough Endoplasmic Reticulum (RER) is coated with Ribosome. Ribosome is of higher molar mass than materials in endoplasmic reticulum. Rough Endoplasmic reticulum (RER) is found to be distributed throughout the cell but its density is higher near the dynamic nucleus or core. On the other hand, Smooth Endoplasmic reticulum (SER), not studded with ribosomes, remains lighter and is found away from the dynamic core towards periphery. SER is associated with comparatively less dense fats (Illustration 4). The presence of higher weight ribosome nearer to the dynamic nucleus and association of lesser density fat away from dynamic nucleus within a living cell, thus, seems to obey the fundamental principle of universal gravitation within a eukaryotic cell. Localization of carbohydrates Molar mass of carbohydrates is 180 - 340 g/mol and their density is 1.4 g/ ml. Monomer carbohydrates undergo polymerization and develop into long chained polysaccharides, such as cellulose, cellobioses, starch and glycogen (animal starch). Cellulose is made up of glucose units linked by β1>4 linkages and it is an important component of cell wall. Similarly starch is also a polymer of α1-4 linked glucose units and it is the main source of energy for all living cells. The most striking feature of monomer carbohydrates is that these posses highest solubility (683 g/ L) gets miscible with protoplasm, due to which, in general, carbohydrates cannot maintain its distinct location in a gravitational field, as do nucleic acid, proteins, fats and lipids. The protoplasm is granular colloidal in nature, because many macromolecules, tiny organelles are suspended in it, also exhibits sol and gel properties. Gutt5 expressed that granular system exhibit duel properties – in a gravitational field, it may have a self-bounding free surface but also conform to the shape of the bounding wall, obeying continuum theories of fluid mechanics. As compacted granular system, it can support shear stress in absence of a shearing velocity. Application of granular physics is still at nascent stage of study in life science. There is need for in-depth study on application of granular physics in life science to advance further on carbohydrate and other macromolecular movements.
  • 6. Gravitation Induced Mechanical Movement in Cells (J4R/ Volume 03 / Issue 01 / 006) All rights reserved by www.journal4research.org 29 Aforesaid description is typically based on simplifying assumptions. There may be gravity anomalies out of local variations of the gravity field involving the effect of immediate local accretion of masses in the vicinity. Also in chronological event driven phenomena, hydrostatic pressure increases with depth inside the surrounding matrix on being bounded by the peripheral structure. Nucleus region then gets drifted outward from central region with increase in size, reflecting an eccentricity of the core in a dynamic orienting system of coordinates, what we call an eccentric nucleus after passing of phase. V. OBSERVATION ON ULTRACENTRIFUGATION AS INVERSE PROCESS OF CENTRAL ACTION OF GRAVITATION Background of centrifugation Ribosomal particles of eukaryotic cells are isolated from cell lysates by ultracentrifugation. Cesium salts are used as mediums of density gradient centrifugation for DNA recovery and purification, as buoyant density of DNA is considered equal to cesium. The guanine and thymine, monomer units of DNA are weak acids. Because of the large mass and high effective "density" of a Cs+ ion, the buoyant density in a CsCl gradient of a polymer acid is to be increased by a partial alkaline titration with CsOH. Most interesting part of the protocol is that separation of biomaterials is finally achieved through ultracentrifugation. Swedish chemist Theodor Svedberg6 in 1925 developed the ultracentrifuge and won 1926 Nobel Prize in chemistry, through which sub cellular materials, cells, large macromolecules like nucleic acids, proteins, ribosomes are now separated from a solution. Depending on rotor speed of centrifugation (in anti-clockwise direction) and viscosity of the medium, various forces like centrifugal, inertial, gravitational, buoyant and frictional forces work between particles and solutions. Centrifugal acceleration is given as rω2; where r is the radial distance from the rotation axis and ω is the angular velocity in radians per second. Sedimentation coefficients, expressed using Svedberg unit (symbol S) depends on mass, density, size, and shape. It is the ratio of the speed of a substance in a centrifuge to its acceleration in comparable units. When area is bigger, say, a folded paper, if allowed to drop would reach its terminal velocity higher than the velocity of the same unfolded paper, as the area of the former would be larger and the friction force acting on it would be higher. In centrifugation, objects with larger surface area will travel at a slower terminal velocity. Here question lies, why Svedberg choose centrifugation as process of separation of biomaterials and not any chemical or other physical methods to separate in dispersed colloidal systems? In gravitational terms, ‘centrifugation of any mass is an inverse process of central attraction’. The Svedberg values basically tell us about the comparative molecular weight and shape of biomaterials under ex vivo condition. Material and Methods Bacteria and eukaryotes have ribosomes that are structurally different. Bacteria have so-called 70S ribosomes and eukaryotes have 80S ribosomes. However, it is admitted fact that the ribosomes and their sub-particles are heterogeneous accretion. They are named according to their sedimentation characteristics during centrifugation. The ribosomes subunits are named 60S and 40S for their "size" in Svedberg units for eukaryotes. In prokaryotes (bacteria), these are 30S and 50S. These subunits are made up of three forms of rRNA: 16S, 23S, and 5S. For bacterial ribosomes, ultracentrifugation yields intact ribosomes (70S) as well as separated ribosomal subunits, the large subunit (50S) and the small subunit (30S). Within cells, ribosomes normally exist as a mixture of joined and separate subunits. The largest particles (whole ribosomes) sediment nears the bottom of the tube, whereas the smaller particles (separate 50S and 30S subunits) appear in upper fractions. Svedberg values are depicted as 1x g. The symbol g is considered as relative centrifugal force; where relative means normalized to the acceleration due to gravity on earth g = 9.81 m/s^2 . One Svedberg (S) unit is 10-13. That is, a 1S particle travels a distance of at the rate of 10-13 m s-1 or 0.1 picometer per second. Particles with higher values of S will travel proportionately faster, and increasing g force will also increase sedimentation rate. The two eukaryotic ribosomal subunits have sedimentation coefficients of 40 x 10-13 and 60 x 10-13 , are referred to as the 40S and the 60S ribosomal subunits. The molecular mass of the 40S and 60S particles are 1.5 and 3.0 million g/mol, respectively. Thus, the complete heterogeneous ribosome has a mass of approximately 4.5 million g/mol. Results and Discussion Under the influence of an acceleration of a million gravities (107 m/s2) , a substance with a sedimentation coefficient of 80S (80×10−13 s) would travel at 80 micrometers per second (80×10−6 m/s). Now, say, an 80S ribosome at 100 000 g centrifugation over the sucrose cushion buffer; the rate of sedimentation is equal to 10-13 x 105 x 80 m per sec or 80 x 10-8 m s-1 . In order to travel, say, 10 cm (10-2 m), it would take 10-2 / (80 x 10-8 ) s i.e. approximately 8.5 hour. It means that 80⋅10−13 sec is the time that ribosome would take to reach the terminal velocity in the fluid under ex vivo condition. Earlier, under in vitro situation, we have demonstrated that free fall acceleration to the tune of nanometer per Second Square in an isolated living mass of the picometer distance.
  • 7. Gravitation Induced Mechanical Movement in Cells (J4R/ Volume 03 / Issue 01 / 006) All rights reserved by www.journal4research.org 30 Fig. 5: Illustration 5  Illustration 5. Centrifugation facilitates reversing the process for separation of organelles on losing its compression memory. Pre-centrifugation materials are arranged as per density gradient within cell and post-centrifugation depicts ex vivo sedimentation or setting as per external gravitational or mutual fields. Under ex vivo situation, for moving 10 cm distance at a speed of 80 micrometers per second, 80S ribosome is taking approximately 8 hours 30 minutes. It may be considered as approximate matching between in vitro and ex vivo observations, thereby indicating that both the process have their origin from same sources, first one is on ‘natural setting’ and second one is on ‘inverse or reverse of natural setting’. Pre-centrifugation materials under in vitro situation are arranged as per density gradient influenced by the complex gravitation field ‘within the cell’. Post-centrifugation order of succession depicts ex vivo sedimentation or setting as per external gravitational or mutual fields (Illustration 5). Centrifugation facilitates reversing the process for separation of organelles on losing its compression memory under ex vivo condition. Gravitation is slow but steady in its action, compared to electro-magnetic or electrostatic forces. Due to its slow rate of action, gravity could generally evade one’s attention, especially amid electrostatic field. Detection or undertaking quantitative measures for gravity is still a matter of challenge before physicists at the level of millimeter scale. So at this state of affairs, only way to establish is to apply abductive reasoning on comparing various circumstantial evidences. VI. CONCLUSIONS In this paper, we examined four aspects of gravitation induced or linked phenomena in cells. First two aspects are on the gravitational property of the platform, specially prevailing or are maintained at in vitro and ex vitro situation respectively. Third aspect is on the gravitation induced in vitro mechanical movement in cells. Fourth and final aspect is on the principle applied to understand gravitation induced position for different macromolecules. Accordingly, to get the purpose of presence of extra- ordinary quantity (> 60%) of fluid in biological mass, say in cell or in organism under in vitro condition, it was observed that biomass gets scope to grow or move in proportion to fluid buoyancy. Under neutral buoyant condition, mass remains same, but weight gets reduced i.e. net forces of ‘effective extrinsic gravity’ get apparently reduced over the biomass. Effective gravitational acceleration, as worked out approximately, would be to the tune of nanometer per second square at picometer distance in secluded living mass. We also examined various ex vitro laboratory protocols pertaining medium. Barycenter of a polygon is the center of mass or gravity and could be considered as the center of peak gravitational attraction in a vector field. Polygonal structured soft porous texture agarose gel matrix in presence of fluid is presumed to manipulate vector components on bypassing barycenter, so that with higher molecular weight and size of DNA, RNA or protein fragments, ex vitro movement get slower while passing through gel during electrophoresis, on obeying gravitation induced macromolecular movement. Gel electrophoresis is carried out for diagnosing DNA, RNA, protein bands. Biological mass are required to be gravitationally anchored with some minimum mass in terms of explants, packed cell volume etc. in the medium for growth and development of living cell. Under planet within planet situation, Gauss's law for gravity would be more appropriate to describe flow of flux operating within and outside biological cells. Mechanical movement and localization of various macromolecules under in vitro condition including nucleic acid, proteins, ribosomes, fats in eukaryotes cell as well as organelles like rough and smooth endoplasmic reticulum were conceptualized to be induced by molar mass and density based gravitation. Nucleic acid having higher molar mass and density remains in dynamic core position, proteins being intermediate over fats and lipids get distributed away from dynamic core under in vitro situation in general. These were conjectured on gravitation principles – ‘higher the mass and the density- higher would be the attractive force of gravitation’ or in reverse way, ‘lesser would delay the attraction’. Ultracentrifugation, as commonly used to separate bio-particles on Svedberg unit, was considered to be as the ‘inverse process of central action of gravitation’. Centrifugation facilitates reversing the process for separation of organelles on losing its compression memory under ex vivo condition. Rate of sedimentation under ex vivo condition approximately matches in vitro movements. Gravitation is a common phenomenon. But it remains unrecognized in living cell science. If knowledge on the presence of gravitational flux over a closed surface is put into practice; it would ease out the measures adopted for health and against disease for individuals. On simple manipulation of density of the fluid or medium, mechanical movement of say, disease causing macromolecules can be restricted at opportune moment. Newton’s apple was defined on ‘sharp principle’ which is paying dividend
  • 8. Gravitation Induced Mechanical Movement in Cells (J4R/ Volume 03 / Issue 01 / 006) All rights reserved by www.journal4research.org 31 over many trials and errors. Thus presence of gravitation would have to be felt through ‘observant mind’ empowered with the knowledge on fundamental principles of gravitation; else gravitation would continue to be overlooked in life science. ACKNOWLEDGEMENT Author is grateful to Biophysical Society (USA) & International Union for Pure & Applied Biophysics (IUPAB) for introducing topic ‘Self Gravitation Bio’ substituting nomenclature ‘Biomechanics of intrinsic gravity’ proposed by author. Author is grateful to Indian Agricultural Research Institute, Indian Science Congress Association, Southern Cone biophysics Congress, European Biophysical Societies Association, Italian Society of Pure and Applied Biophysics, Hungarian Biophysical Society, Biophysical Society of China, WebmedCentral, Australian Society for Biophysics, International Astronautical Federation, social Medias, friends and admirers over the globe for rendering scope for cross-disciplinary interactions. Author is grateful to Indian National Science Academy, State Govt of Assam, Assam Agricultural University, relatives & friends for support including members of the family for sharing tenderness and joy. REFERENCES [1] Bhattacharjee I.R. Self Gravity: The Major Investigation Gap in Life Science. Lambert Academic Publishing, 2013; ISBN 978-3-659-42698-8. [2] Junwu Mu, John C Slevin, Dawei Qu, Sarah McCormick, and S Lee Adamson: In vivo quantification of embryonic and placental growth during gestation in mice using micro-ultrasound Reprod Biol Endocrinol. 2008; 6: 34. Published online 2008 August 12. doi: 10.1186/1477-7827-6-34 PMCID: PMC2527569 [3] Laas, T. Gel structure of agarose. Doctoral thesis. Acta Universitatis Upasaliensis1975. http://students.washington.edu/uwfarm/2011/02/10/food- science-2-0-fragments-of-heredity/ [4] Evans ND, Minelli C, Gentleman E, LaPointe V, Patankar SN, Kallivretaki M, Chen X, Roberts CJ, Stevens MM. Substrate stiffness affects early differentiation events in embryonic stem cells. Eur Cell Mater. 2009 Sep 21; 18:1-13; discussion 13-4. http://www.ncbi.nlm.nih.gov/pubmed/19768669 [5] Ji L, LaPointe VL, Evans ND, Stevens MM. Changes in embryonic stem cell colony morphology and early differentiation markers driven by colloidal crystal topographical cues. Eur Cell Mater. 2012 Feb 23; 23:135-46. http://www.ncbi.nlm.nih.gov/pubmed/22370796 [6] Vidhu Mathur, Vibha Taneja, Yidi Sun, Susan W. Liebman. Analyzing the birth and propagation of two distinct prions,[PSI+] and [Het-s]y, in yeast. 2010. Cell Biology of Disease. http://www.molbiolcell.org/content/21/9/1449.full [7] Li-Chun Huang, Wen-Lin Chen, Bau-Lian Huang. Tissue culture investigations of Bamboo II. Liquid suspension cultures of Bambusa, Phyllostachys, and Sasa cells. 1988; Bot. Bull. Academia Sinica 29:177-182. [8] Spaargaren, D.H. Metabolic rate and body size- A new view on the ‘Surface Law’ for basic metabolic rate. 1994; Acta Biotheoretica. 42, (4). 263-269. [9] Hung Mien-Chie, Wolfgang Link. Protein localization in disease and therapy. J Cell Sci 2011.124:3381-3392;doi:10.1242/jcs.089110. http://jcs.biologists.org/content/124/20/3381#page [10] Bhattacharjee IR. Self-Gravity: The Major Investigation Gap in Life Science (Part I). WebmedCentral BIOPHYSICS 2013;4(6):WMC004279 http://www.webmedcentral.com/article_view/4279 [11] Gutt, Gary Michael. The physics of granular systems. Ph.D. Dissertation, 1989 California Institute of Technology. http://resolver.caltech.edu/CaltechETD:etd- 05302007-081951 [12] Pedersen KO. The development of Svedberg's ultracentrifuge. 1976 Jul; Biophys Chem. 5(1-2):3-18. PubMed PMID: 786403.