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Harvard-MIT Division of Health Sciences and Technology
HST.542J: Quantitative Physiology: Organ Transport Systems
Instructor: Roger Mark
©Prof. Roger G. Mark, 2004
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Departments of Electrical Engineering, Mechanical Engineering,
and the Harvard-MIT Division of Health Sciences and Technology
6.022J/2.792J/HST542J: Quantitative Physiology: Organ Transport Systems
RENAL PHYSIOLOGY
Text Reference: Chapters 6 and 7
RENAL PHYSIOLOGY

These notes will present supplementary material, but are not meant to replace standard texts.
Students are encouraged to read chapters 6 and 7 in the textbook by Costanzo.
I. INTRODUCTION
The kidneys are critical in regulating the internal environment of the body. In particular,
they regulate the total body water, as well as a number of substances which are essential to life. We
will focus on the following major topics:
- Body Fluid Compartments
- The Functional Anatomy of the Kidney
- Basic Renal Mechanisms
Glomerular Filtration
Tubular Absorption
Tubular Secretion
Overall Mass Balance for the Kidneys
- Renal Regulation of:
Sodium
Extracellular Volume and Osmolarity
pH
Renal Physiology 3
II. Body Fluid Compartments
Total body water (TBW) is approximately 60% of body weight. It is distributed as
intracellular water (ICW) and extracellular water (ECW).
Intracellular water is the largest compartment, comprising approximately 40% of body
weight. Extracellular water is about 20% of body weight. (Note the 20, 40, 60 rule for ECW, ICW,
and TBW respectively.) Figure 1 shows the approximate sizes of the body fluid compartments.
Note that ECW is divided into interstitial fluid (16% of body weight), and blood plasma
(4% of body weight).
Composition of the body fluid compartments differs markedly as shown in Figure 2.
Extracellular fluid contains mostly sodium cations, and chloride anions. Interstitial fluid and
plasma are very similar except for the higher concentration of protein in the plasma. On the other
hand, intracellular fluid is rich in potassium cations and organic phosphate anions, with very little
sodium and chloride.
Figure 1
(From Valtin 1983)
2
O)
Extracellular
Water (20% body
weight)
16% 4%
Interstitial
25 L
300
200
100
0
11 L
1-3
3 L
2
Plasma
Intracellular Water
(30 - 40% body weight)
Osmolality(mOsm/kgH
Total Body Water (50 - 70% body weight)
Transcellular
Figure by MIT OCW. After Valtin, Heinz. 1983. Renal Function: Mechanisms Preserving
Fluid and Solute Balance in Health. Little, Brown.
Renal Physiology4
Normal fluid compartments for a 70 kg man. Although there is considerable variation between
individuals, a “20, 40, 60” rule is helpful for estimating the percentage of total body weight
comprised of extracellular (ECW), intracellular (ICW), and total body water (TBW) respectively.
Figure 2
(From Valtin 1983)
Capillaryendothelium
200
 Na+
K+
M
g
2+
HCO3
­
Organic
Phosn-
Prot
n-
Ca2+
Cl-
Plasma
Na
+
HCO 3
-
Cl
-
Ca2+
K+
4
2­
O4
2­
Ac2­
Protn-
SO
HP
Org.
Interstitial
Cellmembrane
150
100
50
0
HCO 3
-
Na
+
K+
H 4
2­
SO4
2­
O 2­
Protn-
Cl
-
PO
rg. Ac
mEq/LH2O
Ca2+
Mg2+
Mg2+
Figure by MIT OCW. After Valtin, Heinz. 1983. Renal Function: Mechanisms Preserving
Fluid and Solute Balance in Health. Little, Brown.
Renal Physiology
Extracellular Intracellular
(skeletal muscle)
5
Solute composition of the major body fluid compartments. Compartments are primarily composed of
concentrations of electrolytes that balance charge such that each compartment is electrically neutral.
Why the difference? The intracellular compartment is separated from the extracellular
compartment by cell membranes. This barrier is selectively permeable, and contains active sodium-
potassium pumps which maintain the concentration differences. Plasma and interstitial fluid
compartments are separated by capillary endothelium, which allows free passage of ions, but is not
permeable to large protein molecules. Water moves freely across all boundaries.
Although the ionic compositions of the body fluid compartments are quite different, all
compartments are in osmotic equilibrium. The normal osmolarity is about 300 milliosmoles/kg of
H2O. Adding solutes to any compartment will result in rapid movement of water so as to maintain
osmotic equilibrium across compartments. In all compartments, cations constitute approximately
half of the osmoles. Since there is osmotic equilibrium across compartments, it follows that the
concentration of total cation is essentially equal throughout the body water.
Example:
A 70 Kg. man has a low serum sodium of 125 mEq per liter. How many mEq of sodium
must be added to his body to bring the serum sodium concentration up to the normal 140 mEq/L?
Answer:
Total body water = approximately 42 liters (60% x 70 Kg.).

Total body cation content = 125 mEq/L x 42 = 5250 mEq.

New cation content 5,250 + x mEq.

New cation concentration = (5,250 +x)/42 mEq/L

New cation concentration in plasma = 140 mEq/L
For osmotic equilibrium:
(5,250 +x)/42 = 140 mEq/L

5,250 + x = 5,880

x = 630 mEq.
Renal Physiology6
In the above example it is important to note that the sodium does not enter the intracellular
compartment. Instead, water leaves the cells thereby raising the intracellular potassium
concentration from 125 to 140 mEq/L.
Normal values for some common substances are shown in Table 1.
Table 1
(From Valtin 1983)
Substance Range
Average Value
Usually Quoted
Comments
Bicarbonate 24 to 30 mM/L
a
24 mEq/L
b
a
Venous plasma
b
Arterial plasma, which is commonly sampled
in patients with problems of H­
balance
Calcium 4.5 to 5.5 mEq/L 10 mg/100 ml Approximately 50% is bound to serum proteins
Chloride 96 to 106 mEq/L 100 mEq/L
Creatinine 0.7 to 1.5 mg/100 ml 1.2 mg/100 ml
Glucose 70 to 100 mg/100 ml 80 mg/100 ml
c
c
Determined in the fasting state; so-called
fasting blood sugar (FBS)
Hematocrit (Hct) 40 to 50% 45% Also called packed cell volume (PCV)
Hydrogen ion
concentration [H+
]
(arterial)
40 nEq/L Note that units are nanoequivalents per liter
Osmolality 280 to 295 mOsm/kg H2O 287 mOsm/kg H2Od
d
A value of 300 is often used because it is a
round figure that is easy to remember. This
approximation does not introduce important
quantitative error in most computations for
evaluation of fluid and solute balance
Pco2
(arterial) 37 to 43 mm Hg 40 mm Hg
Po2
(arterial) 75 to 100 mm Hg While breathing room air. Value varies with age
pH (arterial) 7.37 to 7.42 7.40
Phosphatee
2 to 3 mEq/L 3.5 mg/100 ml
e
Measured as phosphorus. The exact concentrat­
ion of phosphate in milliequivalents per liter
depends on pH of plasma
Potassium 3.5 to 5.5 mEq/L 4.5 mEq/L
Protein (total) 6 to 8 g/100 ml 7 g/100 ml
Sodium 136 to 146 mEq/L 140 mEq/L
Urea nitrogen
(BUN)
9 to 18 mg/100 ml 12 mg/100 mlf
f
Measured as the nitrogen contained in urea.
Since urea diffuses freely into cells, values for
serum, plasma, or whole blood are nearly iden­
tical (BUN = blood urea nitrogen). Average
value varies with diet; BUN of 18 mg/100 ml
may be normal or may reflect considerable
reduction in renal function
Normal plasma, serum, or blood concentrations in adult humans.
Table by MIT OCW. After Valtin, Heinz. 1983. Renal Function: Mechanisms Preserving Fluid and Solute Balance in Health. Little, Brown.
Renal Physiology 7
III. FUNCTIONAL ANATOMY OF THE KIDNEY
This subject is well covered in the texts, and will not be repeated here. Students should be
familiar with the anatomy of the kidney, ureters, bladder, and the detailed organization of the
nephron, including tubular and vascular components. The anatomy of the juxtaglomerular
apparatus is important.
Renal Physiology8
IV. BASIC RENAL MECHANISMS
Urine formation begins with filtration of protein-free plasma into Bowman's capsule. The
filtrate is modified as it passes through the nephron by tubular reabsorption and/or tubular
secretion. Different substances are handled differently by the kidney. (See Figure 3.)
Figure 3
(From Valtin 1983)
Artery
arteriole
Urinary
capsule
Glomerular
capillary
arteriole
capillary
a
b
c
Afferent
excretion
Bowman`s
Tubule
Efferent
Peritubular
Vein
a. Glomerular b. Tubular c. Tubular
Filtration Secretion Reabsorption
Figure by MIT OCW. After Valtin, Heinz. 1983. Renal Function: Mechanisms Preserving
Fluid and Solute Balance in Health. Little, Brown.
A. Glomerular Filtration
The formation of urine begins with a passive ultrafiltration process, in which the movement
of water and associated dissolved small molecules is determined by hydrostatic and oncotic
pressures. Glomerular capillaries are about 100 times more permeable to water and crystalloids
than are muscle capillaries. Note that the plasma oncotic pressure rises as fluid moves along the
capillary (due to net loss of water into Bowman's space). Typical Starling forces are shown
diagrammatically in Figure 4.
Renal Physiology 9
Schematic of the three basic renal system functions: glomerular filtration, tubular secretion, and
tubular reabsorption.
Typical glomerular filtration rate (GFR) is ~ 180 liters per day, or 125 ml/min. Of this
enormous amount, only 1-2 liters per day are excreted as urine, implying that 99% of the filtered
volume is reabsorbed.
Important factors in determining GFR:
- Balance of “Starling Forces”:
- resistance of afferent and efferent arterioles
- arterial blood pressure
- venous pressure
- osmotic pressure
- Permeability of glomerular capillary

- Surface area of capillaries

- Plasma flow rate

In general, GFR can be increased by:
- increasing arterial BP
- decreasing afferent arteriolar tone
- increasing efferent arteriolar tone
- increasing plasma flow rate (in cases where filtration equilibrium exists).
Renal Physiology10
Figure 4
(From Valtin 1983)
Hydrostatic pressure in
Pressure(mmHg)
glomerular capillary
50
40
30 Plasma oncotic pressure in
glomerular capillary
A B
Net ultrafiltration
pressure
Hydrostatic
pressure in
Bowman's space
Balance of Mean Values
20
Hydrostatic pressure in glomerular capillary 45 mm HG
Hydrostatic pressure in Bowman's space 10
10 Plasma oncotic pressure in glomerular capillary 27
Oncotic pressure of fluid in Bowman's space 0*
Net ultrafiltration pressure 8 mm HG
0
*The concentration of protein in Bowman's space fluid is negligibly small;Length of glomerular capillary
the estimated oncotic pressure is perhaps 0.3 mm Hg.
Figure by MIT OCW. After Valtin, Heinz. 1983. Renal Function: Mechanisms Preserving
Fluid and Solute Balance in Health. Little, Brown.
Autoregulation
The kidney exhibits dramatic autoregulation of renal blood flow and glomerular filtration
rate over a wide range of perfusion pressures above 80 mmHg. (See Figure 5.)
Renal Physiology 11
Starling forces involved in glomerular ultrafiltration (rat). Ultrafiltration pressure declines in the
glomerular capillaries due to plasma oncotic pressure increase. In contrast the decline of
ultrafiltration pressure in extrarenal capillaries is mainly due to decreases in intracapillary
hydrostatic pressure. The point at which the plasma oncotic pressure balances the hydrostatic
pressure in the glomerular capillary is termed “filtration equilibrium.”
Figure 5
(From Valtin 1983)
RBF(ml/min)GFR(ml/min)
60
40
20
0
400
300

200
 Dogs
100
0
0 40 80 120 160 200
Renal perfusion pressure (mm Hg)
Figure by MIT OCW. After Valtin, Heinz. 1983. Renal Function: Mechanisms Preserving
Fluid and Solute Balance in Health. Little, Brown.
B. Tubular Reabsorption
Most substances filtered through the glomerulus are reabsorbed by the tubules of the
kidney into interstitial fluid, and thence into the blood. Reabsorption conserves substances which
are essential to normal function such as water, glucose, amino acids, and electrolytes. (See Table 2.)
Renal Physiology12
Autoregulation of glomerular filtration rate (GFR) and renal blood flow (RBF) as a function of
renal perfusion pressure. The normal mean renal artery pressure is indicated by the arrow. Since
both GFR and RBF remain constant in the autoregulatory range (in this example, 80-180mmHg),
the net change in resistance must occur in the afferent arterioles.
Table 2
(From Valtin 1983)
Daily renal turnover of H2O, Na+, HCO3
-, and Cl­
in an adult human
Filtered Excreted Reabsorbed
Proportion of Filtered Load
That is Reabsorbed (%)
H2
O L/day 180 1.5 178.5 99.2
Na+ mEq/day 25,000 150 24,850 99.4
HCO3
- mEq/day 4,500 2 4,498 99.9+
Cl-
mEq/day 18,000 150 17,850 99.2
Glucose mM/day 800 0.5~ 799.5 99.9+
Table by MIT OCW. After Valtin, Heinz. 1983. Renal Function: Mechanisms Preserving
Fluid and Solute Balance in Health. Little, Brown.
The reabsorptive process may be active or passive. Some reabsorption processes are
characterized by a transport maximum, Tm. A good example is that of glucose. This molecule is
actively reabsorbed, up to a maximum amount per unit time. When the filtered load is less than Tm,
then no glucose appears in the urine. When the filtered load exceeds Tm , then glucose is excreted.
(See Figure 6.)
Figure 6
(From Marsh 1983, p. 44)
MassFlowRateofGlucose(mol/min)
Plasma Glucose Concentration
Filtered Load Excretion Rate
Transport Rate
Figure by MIT OCW. After Marsh 1983, p. 44.
The filtered load of glucose, the excretion rate, and the transport rate are affected by the plasma glucose concentration.
The rate of transport is the difference between the filtered load and the excretion rate. Note that the transport rate
varies with concentration when the concentration of plasma glucose is low but not when it is high. This
relationship suggests a saturable transport mechanism.
Renal Physiology 13
C. Tubular Secretion
The kidney can secrete certain substances from blood in the peritubular capillaries into the
tubular lumen. Mechanisms may be either active or passive.
Probably of most importance to the regulatory function of the kidney is the ability to secrete
hydrogen ion and potassium ion. This capability is central to pH regulation.
Most of the other substances secreted are foreign to the body, such as drugs. An important
indicator substance used in measuring renal function is para-aminohippuric acid (PAH) which is
actively secreted into the tubule, such that it is almost completely removed in a single pass through
the nephron. This approximation holds only if PAH is present in low concentration. (See Figure
7.)
Figure 7
(From Marsh 1983, p. 45)
MassFlowRateofPAH(mol/min)
Plasma PAH Concentration
Filtered Load Excretion Rate
Trasport Rate
Figure by MIT OCW. After Marsh 1983, p. 45.
The excretion rate, transport rate, and the filtered load of p-aminohippuric acid (PAH) as affected by the plasma
concentration. PAH is secreted.
D. Overall Mass Balance for the Kidneys
The following figure is a simplified schematic of the kidneys. It represents the function of
both kidneys.
Renal Physiology14
Figure 8
Afferent
arteriole
Q(V)
Q(A)
capsule
Glomerular
capillary
Efferent
arteriole
GFR capillary
a
b
c
Bowman's
Tubule
Peritubular
Q(U)
Figure by MIT OCW. After Valtin, Heinz. 1983. Renal Function: Mechanisms Preserving
Fluid and Solute Balance in Health. Little, Brown.
Definitions:
Q(A) = arterial flow rate (cc/min.)

Q(V) = venous flow rate (cc/min.)

Q(U) = urine flow rate (cc/min.)

c(i,A) = concentration of the i-th molecular species in arterial blood

c(i,V) = conc. of i-th species in venous blood

c(i,U) = conc. of i-th species in urine.

The overall conservation of fluid in the control volume shown in the figure is:
Q(A) = Q(V) + Q(U) (1)
For any particular molecular species, i, the conservation of mass would yield:
Q(A)*c(i,A) = Q(V)*c(i,V) + Q(U)*c(i,U) (2)
Renal Physiology 15
Using equation (1) and combining with (2) to eliminate Q(V), we get:
Q(A) = Q(U)*[c(i,U) - c(i,V)] / [c(i,A) - c(i,V)] (3)
Equation (3) may be used to experimentally measure renal blood flow, Q(A), if we can
measure the concentration of the indicator, i, in urine and in both arterial and renal vein blood. It is
relatively easy to measure arterial blood concentrations, but rather difficult to measure
concentrations in renal venous blood (although it can be done). Fortunately there is a substance—
para-aminohipuric acid (PAH)—which is almost completely removed from the blood in one pass
through the kidney. Thus, for PAH the concentration in renal venous blood may be taken as zero -
c(PAH),V) = 0. Under these conditions:
Q(A) = Q(U)*c(PAH,U)/c(PAH,A) (4)
This measurement yields the effective renal blood flow. It assumes that indicator
concentrations in whole blood are given. If the more usual plasma concentrations are used, then
equation (4) will yield renal plasma flow (RPF). RPF is approximately 600-700 cc/min. in the
normal adult. Equation (4) is an approximation, since the concentration of PAH is not exactly zero
in renal venous blood. Note that with the appropriate catheter techniques, c(i,V) can be measured
and exact values of RPF may be derived.
The glomerular filtration rate (GFR) is the flow rate of the ultrafiltrate into the nephron from
the capillary bed. How might we measure the GFR?
If a substance could be found which is filtered freely, but is neither reabsorbed from nor
secreted into the urine, then all the substance filtered will be excreted in the urine. Thus:
GFR*c(i,A) = Q(U)*c(i,U)
GFR = Q(U)*c(i,U)/c(i,A) (5)
The indicator substance which fulfills our criteria is a sugar called INULIN. Inulin is not
the only substance which can be used. Others include creatinine, vitamin B-12, and iothalamate.
The normal GFR is 120-125 cc/min.
Renal Physiology16
Clearance
The concept of “clearance” is commonly used in renal physiology. The term refers to the
equivalent volume of plasma from which a substance is completely “cleared” per minute. Thus:
CL(i)*c(i,A) = Q(u)*c(i,U)
CL(i) = Q(u)*c(i,U)/c(i,A) (6)
where CL(i) is the clearance of substance “i” in cc/min. It should be noted that in clinical practice
the quantity c(i,A) is taken to be the plasma concentration of the substance i, and is generally
measured in systemic venous blood.
The PAH clearance CL(PAH) is the renal plasma flow.
The inulin clearance CL(inulin) is the GFR.
Renal Physiology 17
V. SODIUM AND WATER TRANSPORT
A. Sodium Balance
The volume and osmolarity of extracellular fluid are maintained within very narrow limits.
The amount of H2O and Na+ which are filtered each day exceed their daily intake by more than a
factor of 100! Thus, fluid and sodium balance depend critically on tubular reabsorption.
Sodium excretion = sodium filtered - sodium reabsorbed
Sodium excretion may be adjusted by controlling one or both of the above mechanisms.
Sodium excretion may be increased by increasing GFR, by decreasing reabsorption, or both.
Conversely, sodium excretion may be decreased by decreasing GFR or increasing tubular
reabsorption or both. (See Figure 9.)
Renal Physiology18
Figure 9
(From Vander 1985, p. 436)
Filtered Reabsorbed Excreted
Na+ Na+ Na+
A
B
C
D
Figure by MIT OCW. After p. 436 in Vander, Arthur J., Sherman, James H., and Luciano, Dorothy S. 1985.
Human Physiology: The Mechanisms of Body Function. 4th ed. McGraw-Hill.
GFR is dynamically controlled largely by changes in the glomerular capillary pressure.
This is a function of perfusion pressure, and the resistancesof the afferent and efferent arterioles.
The resistances are modified by sympathetic stimulation in response to baroreceptor and volume
receptors. Figure 10 illustrates the mechanism by which GFR may respond to volume depletion.
Renal Physiology 19
Factors increasing sodium excretion. A) Normal sodium excretion. B) Increasing GFR C) decreasing
reabsorption, or D) both, cause an increase in sodium excretion.
Figure 10
(From Vander 1985, p. 437)
salt and H2O lossplasma
atrial pressure
baroreceptors
cardiac output
pressure
GFR
due to diarrheavolume
venous pressure
venous return
ventricular end-
diastolic volume
neural reflexes
mediated by
stroke volume
arterial blood
activity of renal sympathetic nerves
renal arteriolar constriction
glomerular capillary pressure
Na excreted
Figure by MIT OCW. After p. 437 in Vander, Arthur J., Sherman, James H., and Luciano, Dorothy S. 1985.
Human Physiology: The Mechanisms of Body Function. 4th ed. McGraw-Hill.
In general, sodium reabsorption is active, with passive reabsorption of H2O. The
approximate daily turnover of sodium in different portions of the nephron is shown in Figure 11.
Renal Physiology20
Neural feedback and control decreases GFR when plasma volume is decreased. Baroreceptors in
the heart walls, carotid sinuses, aortic arch, and large veins initiate a sympathetic reflex. This
neural pathway is much more significant in lowering GFR than the direct effect of the lowered
arterial pressure due to low plasma volume.
Figure 11
(From Valtin 1983)
PNA
+
UNA = 100 mEq/L
GFR = 180 L/day
= 140 mEq/L
Filtered load of Na = 25,200 mEq/day
6,300 mEq/day
25% filtered load
1,200 mEq/day
5% filtered load
750 mEq/day
3% filtered load V = 1,500 ml/day
16,800 mEq/day
67% filtered load
Dietary intake of Na+ = 155 mEq/day	 Urinary excretion of Na+ = 150 mEq/day
0.6% filtered load
Figure by MIT OCW. After Valtin, Heinz. 1983. Renal Function: Mechanisms Preserving
Fluid and Solute Balance in Health. Little, Brown.
In the ascending limbs of the loop of Henle sodium transport is active, but water does not
follow because this portion of the nephron is impermeable to water.
In the late distal tubules, and in the collecting ducts, the reabsorption of water varies directly
with the blood concentration of anti-diuretic hormone (ADH), which permits the fine regulation of
water balance.
B. The Renin-Angiotensin-Aldosterone System
Fine adjustments in sodium reabsorption in distal tubules and collecting ducts are mediated
by aldosterone. Figure 12 diagrams the renin-angiotensin-aldosterone system.
Renal Physiology 21
Normal daily renal sodium turnover in the adult human. At steady state, the organism is
“balanced,” such that the daily sodium output equals the daily sodium intake. Sodium output is
comprised of renal excretion and extrarenal losses (sweat, saliva, and gastrointestinal secretions –
negligible under normal conditions). PNa and UNa refer to the plasma and urinary concentrations
of sodium respectively.
Figure 12
(From Valtin 1983)
angiotensinogen,
(�
Other peptides
Angiotensinases
Plasma
Angiotensin I
(decapeptide)
Angiotensin II
(octapeptide)
Lung and kidneysJuxtaglomerular apparatus
Rate-limiting step
Renin
Converting enzyme
Renin substrate,
-2 globulin)
Liver
Adrenal cortex Smooth muscle of arterioles
Aldosterone
~
Vasoconstriction
System arterial blood pressure Cardiac output - Peripheral resistance
Figure by MIT OCW. After Valtin, Heinz. 1983. Renal Function: Mechanisms Preserving
Fluid and Solute Balance in Health. Little, Brown.
Renin is secreted by the juxtaglomerular apparatus (JGA) in the kidney. Renin splits
angiotensinogen to form the physiologically inactive angiotensin I. This is converted to an active
substance, angiotensin II by a converting enzyme located in the lung. Angiotensin II is a potent
vasoconstrictor, and also stimulates the adrenal cortex to secret aldosterone. This hormone results
in increased sodium reabsorption and hence increased extracellular volume.
How is renin release controlled? It is renin which is the rate-limiting step in producing
aldosterone. There are several factors which may be important in controlling renin release. They
include, but are probably not limited to:
Renal Physiology22
Possible relationship between renin-antiotensin-aldosterone system dynamics and systemic
arterial blood pressure.
1)	 A decrease in perfusion pressure of the renal artery (as would be expected when
extracellular volume is depleted) results in an increase in renin production and vice-
versa.
2) A change in NaCl in the vicinity of the macula densa modulates renin release. A
decreased salt concentration in the tubular fluid leads to increased renin secretion.
The precise mechanism is unclear.
3)	 Sympathetic nervous stimulation of the kidney increases the release of renin.
Figure 13 shows a sequence of events which would follow a decrease in plasma volume.
(These events would occur in parallel to those illustrated in Figure 10.)
Renal Physiology 23
Figure 13
(From Vander 1990)
Renin Secretion
Less Stretch
Activity of Renal
Sympathetic Nerves
Arterial Pressure
Plasma Renin
Aldosterone Secretion
Sodium Reabsorption
Sodium Excretion
Renal Granular Cells
Adrenal Cortex
Renal Tubules
Direct Effect of
Plasma Volume
Plasma Angiotensin II
Plasma Aldosterone
Figure by MIT OCW. After Vander, Arthur J., Sherman, James H., and Luciano, Dorothy S. 1990.
Human Physiology: The Mechanisms of Body Function. 5th ed. McGraw-Hill.
C. Atrial Natriuretic Peptide
In 1981 Aldolfo de Bold and colleagues demonstrated that extracts derived from the cardiac
atria caused a potent natriuresis and diuresis in rats. Since then, extensive research has focussed on
this substance, known as atrial natriuretic peptide (ANP). It is now known to be a peptide hormone
which is synthesized in atrial tissue, and stored as membrane-bound secretory granules.
Renal Physiology24
Mechanism of increased reabsorption and decreased sodium excretion in response to plasma
volume decrease. Granular cells function as intrarenal baroreceptors responding directly to
decreased stretch due to the lowered arterial pressure. Renal sympathetic nerves can also
stimulate granular cells. A third signal for stimulating renin secretion is via the macula densa
(not shown).
ANP has been completely characterized: isolated, sequenced, and synthesized. It is released
into the blood stream by atrial stretch, which generally results from increases in blood volume. The
hormone has several different effects, all of which tend to diminish blood volume and blood
pressure. Increased ANP leads to:
1. Increased excretion of sodium (natriuresis).
The mechanisms include increased GFR (caused by increased efferent arteriolar resistance),
and also decreased tubular transport of sodium.
2. Increased excretion of water (diuresis).
3. Vasodilation (both arteriolar and venous).
4. Decreased production of aldosterone, and decreased secretion of aldosterone.
5. Decreased secretion of renin.
6. Decreased release of anti-diuretic hormone (ADH) from the posterior pituitary.
Renal Physiology 25
VI. REGULATION OF EXTRACELLULAR VOLUME AND OSMOLARITY
Regulation of extracellular volume depends not only on regulation of sodium, but also upon
the control of free water. Thus, not only volume, but also osmolarity may be regulated by the
kidney.
Anti-diuretic hormone, ADH, controls the permeability of the late distal tubules and
collecting ducts to water. Thus, in these regions of the kidney, the reabsorption of salt and water
can be controlled independently.
ADH is produced by specialized hypothalamic neurons and is transmitted via their axons to
the posterior pituitary gland where it is released into the blood. How is ADH release controlled?
- Baroreceptors located in large veins and in the atria when stimulated by increased
vascular volume, send inhibitory signals to increased secretion of H2O. (See Figure
14.)
- Osmoreceptors in the hypothalamus stimulate increased ADH release in the
presence of increased osmolarity. Thus, the permeability of distal tubules and
collecting ducts is increased to H2O, and water is retained.
It is easy to see how one can excrete excess water in a dilute urine. ADH is reduced, less
H2O is reabsorbed in the collecting ducts and distal tubules, and more H2O was excreted. The
most dilute urine possible is about 50 osmoles/liter. (See Figure 15.)
Renal Physiology26
Figure 14
(From Vander 1985)
Figure by MIT OCW. After Vander, Arthur J., Sherman, James H., and Luciano, Dorothy S. 1985.
Human Physiology: The Mechanisms of Body Function. 4th ed. McGraw-Hill.
Renal Physiology 27
Plasma volume regulation of ADH. Elevated plasma volume increases left atrial pressures,
stimulating the atrial baroreceptors and inhibiting ADH secretion.
Figure 15
(From Vander 1990)
2
O Ingested
Osmoreceptors
Renal Tubules
2
O
H2
H2
( H2
Excess H
Body-Fluid Osmolarity
Firing by Hypothalamic
ADH Secretion
Posterior Pituitary
Plasma ADH
Tubular Permeability
to H
O Reabsorption
O Excretion
O Concentration)
Figure by MIT OCW. After Vander, Arthur J., Sherman, James H., and Luciano, Dorothy S. 1990.
Human Physiology: The Mechanisms of Body Function. 5th ed. McGraw-Hill.
But how can the body conserve water and excrete a hyperosmotic urine? The answer is
found in the countercurrent multiplier system which permits the renal medulla to become extremely
hyperosmotic (osmolarity of about 1400). Figure 16 illustrates the end result of the counter current
system, and reveals that in the presence of high ADH levels, urine may reach an osmolarity of
Renal Physiology28
Regulation of volume in response to excess water ingestion. Osmoreceptors in the hypothalamus
detect the drop in osmolarity and decrease ADH secretion to allow excretion of excess water.
Countercurrent multiplier responsible for the formation of hypertonic urine formation.
VII. pH REGULATION
The kidney is critical in regulation of the body's hydrogen ion concentration. During the
metabolism of the average western diet, approximately 70-100 mEq of non-volatile (non-CO2) acid
is produced, and all of it must be excreted by the kidney in order to maintain body acid-base
balance. The primary extracellular buffering system is the bicarbonate system:
HR + NaHCO3 --> NaR + H2O + CO2
Thus the production of 100 mEq of nonvolatile acid (HR) will be buffered by an equivalent
amount of bicarbonate to form the sodium salt of the acid, plus carbon dioxide and water. The
carbon dioxide is lost via the lungs, and if the process went on this way it would not be long before
all the bicarbonate stores of the body would be gone. The kidney's task is to reverse the process by
excreting 100 mEq of fixed acid each day, and regenerating the equivalent amount of bicarbonate.
The kidney must also prevent the loss of bicarbonate in the urine—all bicarbonate filtered must be
reabsorbed.
a. Reclamation of Filtered Bicarbonate
The proximal tubule reabsorbs 85-90% of filtered bicarbonate, which amounts to about
4,500 mEq (25 mEq/L X 180 L/day) per day. The mechanism is sketched in figure 17. The key
process is thought to occur via a Na+/H+ coupled transport system (antiporter).
b. Bicarbonate Regeneration (excretion of titratable acid)
The distal nephron (predominantly the collecting duct) is the predominant site for
bicarbonate regeneration and excretion of acid. The key mechanism is an electrogenic proton pump
from the interior of the cell against an electrochemical gradient. This pump, requiring metabolic
energy through ATP, is located on the luminal surface of the collecting duct epithelium. (See figure
18.) The epithelium can generate very large hydrogen ion concentration gradients (103, or 3 pH
units). Sodium reabsorption is not apparently coupled to the hydrogen ion pump in the collecting
duct cells. The excreted hydrogen ions combine in the urine with either filtered anions such as
phosphate, sulfate, or urate; or with ammonia which is produced by the epithelial cells. In either
case, the hydrogen ion is “trapped” in the urine and is excreted as a weak acid or as the polar
ammonium ion NH4+. In order to maintain acid-base equilibrium, there must be a net acid secretion
of 70-100 mEq per day through these mechanisms.
Renal Physiology30
The body pH is established primarily via the bicarbonate buffer system, and is given by the
Henderson-Hasselbalch equation:
pH = 6.1 + log [HCO3 -] / (0.03)(PCO2)
The lungs are responsible for regulating the PCO2
and the kidneys regulate the bicarbonate
concentration. The former can act very quickly—in minutes, while the renal mechanisms are much
slower—hours to days.
Figure 17
(From Seldin and Giebisch 1989)
Cell
Na
+
Na
+
Na+
H
+
CO2CO2
CO2
H2
O+ H2
O
C.A.C.A.
CO2
H2CO3H2
CO3
+
HCO3+ H
+
HCO3
+
?
HCO3
-
-
HCO3
- -
BloodTubular Lumen
Filtered Bicarbonate
4500 mEq/24h
Proximal Tubule
Figure by MIT OCW. After Seldin, Donald W., and Giebisch, Gerhard. 1989.
The Regulation of Acid-Base Balance. Raven Press.
Renal Physiology 31
Figure 18
(From Seldin and Giebisch 1989)
Cell
Na+Na
+
NH4
A
-
Na
+
+A
-
H
+
A
-
H
+
Glutamine
CO2
C.A.
H2
CO3
NH3
+
CO2
H2
O+
70-100 mEq/24h
HCO3
+ HCO3
+
-
H
+
ATP
ADP
BloodTubular Lumen
Regenerated
Bicarbonate
Net Acid Excretion

70 - 100 mEq/24h

Distal Nephron
Figure by MIT OCW. After Seldin, Donald W., and Giebisch, Gerhard. 1989.
The Regulation of Acid-Base Balance. Raven Press.
REFERENCES
Seldin, Donald W., and Giebisch, Gerhard. 1989. The Regulation of Acid-Base Balance. Raven
Press.
Valtin, Heinz. 1983. Renal Function: Mechanisms Preserving Fluid and Solute Balance in Health.
Little, Brown.
Vander, Arthur J., Sherman, James H., and Luciano, Dorothy S. 1985. Human Physiology: The
Mechanisms of Body Function, 4th ed. McGraw-Hill.
Vander, Arthur J., Sherman, James H., and Luciano, Dorothy S. 1990. Human Physiology: The
Mechanisms of Body Function, 5th ed. McGraw-Hill.
Renal Physiology32

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Renal physiology

  • 1. Harvard-MIT Division of Health Sciences and Technology HST.542J: Quantitative Physiology: Organ Transport Systems Instructor: Roger Mark ©Prof. Roger G. Mark, 2004 MASSACHUSETTS INSTITUTE OF TECHNOLOGY Departments of Electrical Engineering, Mechanical Engineering, and the Harvard-MIT Division of Health Sciences and Technology 6.022J/2.792J/HST542J: Quantitative Physiology: Organ Transport Systems RENAL PHYSIOLOGY Text Reference: Chapters 6 and 7
  • 2. RENAL PHYSIOLOGY These notes will present supplementary material, but are not meant to replace standard texts. Students are encouraged to read chapters 6 and 7 in the textbook by Costanzo. I. INTRODUCTION The kidneys are critical in regulating the internal environment of the body. In particular, they regulate the total body water, as well as a number of substances which are essential to life. We will focus on the following major topics: - Body Fluid Compartments - The Functional Anatomy of the Kidney - Basic Renal Mechanisms Glomerular Filtration Tubular Absorption Tubular Secretion Overall Mass Balance for the Kidneys - Renal Regulation of: Sodium Extracellular Volume and Osmolarity pH Renal Physiology 3
  • 3. II. Body Fluid Compartments Total body water (TBW) is approximately 60% of body weight. It is distributed as intracellular water (ICW) and extracellular water (ECW). Intracellular water is the largest compartment, comprising approximately 40% of body weight. Extracellular water is about 20% of body weight. (Note the 20, 40, 60 rule for ECW, ICW, and TBW respectively.) Figure 1 shows the approximate sizes of the body fluid compartments. Note that ECW is divided into interstitial fluid (16% of body weight), and blood plasma (4% of body weight). Composition of the body fluid compartments differs markedly as shown in Figure 2. Extracellular fluid contains mostly sodium cations, and chloride anions. Interstitial fluid and plasma are very similar except for the higher concentration of protein in the plasma. On the other hand, intracellular fluid is rich in potassium cations and organic phosphate anions, with very little sodium and chloride. Figure 1 (From Valtin 1983) 2 O) Extracellular Water (20% body weight) 16% 4% Interstitial 25 L 300 200 100 0 11 L 1-3 3 L 2 Plasma Intracellular Water (30 - 40% body weight) Osmolality(mOsm/kgH Total Body Water (50 - 70% body weight) Transcellular Figure by MIT OCW. After Valtin, Heinz. 1983. Renal Function: Mechanisms Preserving Fluid and Solute Balance in Health. Little, Brown. Renal Physiology4 Normal fluid compartments for a 70 kg man. Although there is considerable variation between individuals, a “20, 40, 60” rule is helpful for estimating the percentage of total body weight comprised of extracellular (ECW), intracellular (ICW), and total body water (TBW) respectively.
  • 4. Figure 2 (From Valtin 1983) Capillaryendothelium 200 Na+ K+ M g 2+ HCO3 ­ Organic Phosn- Prot n- Ca2+ Cl- Plasma Na + HCO 3 - Cl - Ca2+ K+ 4 2­ O4 2­ Ac2­ Protn- SO HP Org. Interstitial Cellmembrane 150 100 50 0 HCO 3 - Na + K+ H 4 2­ SO4 2­ O 2­ Protn- Cl - PO rg. Ac mEq/LH2O Ca2+ Mg2+ Mg2+ Figure by MIT OCW. After Valtin, Heinz. 1983. Renal Function: Mechanisms Preserving Fluid and Solute Balance in Health. Little, Brown. Renal Physiology Extracellular Intracellular (skeletal muscle) 5 Solute composition of the major body fluid compartments. Compartments are primarily composed of concentrations of electrolytes that balance charge such that each compartment is electrically neutral.
  • 5. Why the difference? The intracellular compartment is separated from the extracellular compartment by cell membranes. This barrier is selectively permeable, and contains active sodium- potassium pumps which maintain the concentration differences. Plasma and interstitial fluid compartments are separated by capillary endothelium, which allows free passage of ions, but is not permeable to large protein molecules. Water moves freely across all boundaries. Although the ionic compositions of the body fluid compartments are quite different, all compartments are in osmotic equilibrium. The normal osmolarity is about 300 milliosmoles/kg of H2O. Adding solutes to any compartment will result in rapid movement of water so as to maintain osmotic equilibrium across compartments. In all compartments, cations constitute approximately half of the osmoles. Since there is osmotic equilibrium across compartments, it follows that the concentration of total cation is essentially equal throughout the body water. Example: A 70 Kg. man has a low serum sodium of 125 mEq per liter. How many mEq of sodium must be added to his body to bring the serum sodium concentration up to the normal 140 mEq/L? Answer: Total body water = approximately 42 liters (60% x 70 Kg.). Total body cation content = 125 mEq/L x 42 = 5250 mEq. New cation content 5,250 + x mEq. New cation concentration = (5,250 +x)/42 mEq/L New cation concentration in plasma = 140 mEq/L For osmotic equilibrium: (5,250 +x)/42 = 140 mEq/L 5,250 + x = 5,880 x = 630 mEq. Renal Physiology6
  • 6. In the above example it is important to note that the sodium does not enter the intracellular compartment. Instead, water leaves the cells thereby raising the intracellular potassium concentration from 125 to 140 mEq/L. Normal values for some common substances are shown in Table 1. Table 1 (From Valtin 1983) Substance Range Average Value Usually Quoted Comments Bicarbonate 24 to 30 mM/L a 24 mEq/L b a Venous plasma b Arterial plasma, which is commonly sampled in patients with problems of H­ balance Calcium 4.5 to 5.5 mEq/L 10 mg/100 ml Approximately 50% is bound to serum proteins Chloride 96 to 106 mEq/L 100 mEq/L Creatinine 0.7 to 1.5 mg/100 ml 1.2 mg/100 ml Glucose 70 to 100 mg/100 ml 80 mg/100 ml c c Determined in the fasting state; so-called fasting blood sugar (FBS) Hematocrit (Hct) 40 to 50% 45% Also called packed cell volume (PCV) Hydrogen ion concentration [H+ ] (arterial) 40 nEq/L Note that units are nanoequivalents per liter Osmolality 280 to 295 mOsm/kg H2O 287 mOsm/kg H2Od d A value of 300 is often used because it is a round figure that is easy to remember. This approximation does not introduce important quantitative error in most computations for evaluation of fluid and solute balance Pco2 (arterial) 37 to 43 mm Hg 40 mm Hg Po2 (arterial) 75 to 100 mm Hg While breathing room air. Value varies with age pH (arterial) 7.37 to 7.42 7.40 Phosphatee 2 to 3 mEq/L 3.5 mg/100 ml e Measured as phosphorus. The exact concentrat­ ion of phosphate in milliequivalents per liter depends on pH of plasma Potassium 3.5 to 5.5 mEq/L 4.5 mEq/L Protein (total) 6 to 8 g/100 ml 7 g/100 ml Sodium 136 to 146 mEq/L 140 mEq/L Urea nitrogen (BUN) 9 to 18 mg/100 ml 12 mg/100 mlf f Measured as the nitrogen contained in urea. Since urea diffuses freely into cells, values for serum, plasma, or whole blood are nearly iden­ tical (BUN = blood urea nitrogen). Average value varies with diet; BUN of 18 mg/100 ml may be normal or may reflect considerable reduction in renal function Normal plasma, serum, or blood concentrations in adult humans. Table by MIT OCW. After Valtin, Heinz. 1983. Renal Function: Mechanisms Preserving Fluid and Solute Balance in Health. Little, Brown. Renal Physiology 7
  • 7. III. FUNCTIONAL ANATOMY OF THE KIDNEY This subject is well covered in the texts, and will not be repeated here. Students should be familiar with the anatomy of the kidney, ureters, bladder, and the detailed organization of the nephron, including tubular and vascular components. The anatomy of the juxtaglomerular apparatus is important. Renal Physiology8
  • 8. IV. BASIC RENAL MECHANISMS Urine formation begins with filtration of protein-free plasma into Bowman's capsule. The filtrate is modified as it passes through the nephron by tubular reabsorption and/or tubular secretion. Different substances are handled differently by the kidney. (See Figure 3.) Figure 3 (From Valtin 1983) Artery arteriole Urinary capsule Glomerular capillary arteriole capillary a b c Afferent excretion Bowman`s Tubule Efferent Peritubular Vein a. Glomerular b. Tubular c. Tubular Filtration Secretion Reabsorption Figure by MIT OCW. After Valtin, Heinz. 1983. Renal Function: Mechanisms Preserving Fluid and Solute Balance in Health. Little, Brown. A. Glomerular Filtration The formation of urine begins with a passive ultrafiltration process, in which the movement of water and associated dissolved small molecules is determined by hydrostatic and oncotic pressures. Glomerular capillaries are about 100 times more permeable to water and crystalloids than are muscle capillaries. Note that the plasma oncotic pressure rises as fluid moves along the capillary (due to net loss of water into Bowman's space). Typical Starling forces are shown diagrammatically in Figure 4. Renal Physiology 9 Schematic of the three basic renal system functions: glomerular filtration, tubular secretion, and tubular reabsorption.
  • 9. Typical glomerular filtration rate (GFR) is ~ 180 liters per day, or 125 ml/min. Of this enormous amount, only 1-2 liters per day are excreted as urine, implying that 99% of the filtered volume is reabsorbed. Important factors in determining GFR: - Balance of “Starling Forces”: - resistance of afferent and efferent arterioles - arterial blood pressure - venous pressure - osmotic pressure - Permeability of glomerular capillary - Surface area of capillaries - Plasma flow rate In general, GFR can be increased by: - increasing arterial BP - decreasing afferent arteriolar tone - increasing efferent arteriolar tone - increasing plasma flow rate (in cases where filtration equilibrium exists). Renal Physiology10
  • 10. Figure 4 (From Valtin 1983) Hydrostatic pressure in Pressure(mmHg) glomerular capillary 50 40 30 Plasma oncotic pressure in glomerular capillary A B Net ultrafiltration pressure Hydrostatic pressure in Bowman's space Balance of Mean Values 20 Hydrostatic pressure in glomerular capillary 45 mm HG Hydrostatic pressure in Bowman's space 10 10 Plasma oncotic pressure in glomerular capillary 27 Oncotic pressure of fluid in Bowman's space 0* Net ultrafiltration pressure 8 mm HG 0 *The concentration of protein in Bowman's space fluid is negligibly small;Length of glomerular capillary the estimated oncotic pressure is perhaps 0.3 mm Hg. Figure by MIT OCW. After Valtin, Heinz. 1983. Renal Function: Mechanisms Preserving Fluid and Solute Balance in Health. Little, Brown. Autoregulation The kidney exhibits dramatic autoregulation of renal blood flow and glomerular filtration rate over a wide range of perfusion pressures above 80 mmHg. (See Figure 5.) Renal Physiology 11 Starling forces involved in glomerular ultrafiltration (rat). Ultrafiltration pressure declines in the glomerular capillaries due to plasma oncotic pressure increase. In contrast the decline of ultrafiltration pressure in extrarenal capillaries is mainly due to decreases in intracapillary hydrostatic pressure. The point at which the plasma oncotic pressure balances the hydrostatic pressure in the glomerular capillary is termed “filtration equilibrium.”
  • 11. Figure 5 (From Valtin 1983) RBF(ml/min)GFR(ml/min) 60 40 20 0 400 300 200 Dogs 100 0 0 40 80 120 160 200 Renal perfusion pressure (mm Hg) Figure by MIT OCW. After Valtin, Heinz. 1983. Renal Function: Mechanisms Preserving Fluid and Solute Balance in Health. Little, Brown. B. Tubular Reabsorption Most substances filtered through the glomerulus are reabsorbed by the tubules of the kidney into interstitial fluid, and thence into the blood. Reabsorption conserves substances which are essential to normal function such as water, glucose, amino acids, and electrolytes. (See Table 2.) Renal Physiology12 Autoregulation of glomerular filtration rate (GFR) and renal blood flow (RBF) as a function of renal perfusion pressure. The normal mean renal artery pressure is indicated by the arrow. Since both GFR and RBF remain constant in the autoregulatory range (in this example, 80-180mmHg), the net change in resistance must occur in the afferent arterioles.
  • 12. Table 2 (From Valtin 1983) Daily renal turnover of H2O, Na+, HCO3 -, and Cl­ in an adult human Filtered Excreted Reabsorbed Proportion of Filtered Load That is Reabsorbed (%) H2 O L/day 180 1.5 178.5 99.2 Na+ mEq/day 25,000 150 24,850 99.4 HCO3 - mEq/day 4,500 2 4,498 99.9+ Cl- mEq/day 18,000 150 17,850 99.2 Glucose mM/day 800 0.5~ 799.5 99.9+ Table by MIT OCW. After Valtin, Heinz. 1983. Renal Function: Mechanisms Preserving Fluid and Solute Balance in Health. Little, Brown. The reabsorptive process may be active or passive. Some reabsorption processes are characterized by a transport maximum, Tm. A good example is that of glucose. This molecule is actively reabsorbed, up to a maximum amount per unit time. When the filtered load is less than Tm, then no glucose appears in the urine. When the filtered load exceeds Tm , then glucose is excreted. (See Figure 6.) Figure 6 (From Marsh 1983, p. 44) MassFlowRateofGlucose(mol/min) Plasma Glucose Concentration Filtered Load Excretion Rate Transport Rate Figure by MIT OCW. After Marsh 1983, p. 44. The filtered load of glucose, the excretion rate, and the transport rate are affected by the plasma glucose concentration. The rate of transport is the difference between the filtered load and the excretion rate. Note that the transport rate varies with concentration when the concentration of plasma glucose is low but not when it is high. This relationship suggests a saturable transport mechanism. Renal Physiology 13
  • 13. C. Tubular Secretion The kidney can secrete certain substances from blood in the peritubular capillaries into the tubular lumen. Mechanisms may be either active or passive. Probably of most importance to the regulatory function of the kidney is the ability to secrete hydrogen ion and potassium ion. This capability is central to pH regulation. Most of the other substances secreted are foreign to the body, such as drugs. An important indicator substance used in measuring renal function is para-aminohippuric acid (PAH) which is actively secreted into the tubule, such that it is almost completely removed in a single pass through the nephron. This approximation holds only if PAH is present in low concentration. (See Figure 7.) Figure 7 (From Marsh 1983, p. 45) MassFlowRateofPAH(mol/min) Plasma PAH Concentration Filtered Load Excretion Rate Trasport Rate Figure by MIT OCW. After Marsh 1983, p. 45. The excretion rate, transport rate, and the filtered load of p-aminohippuric acid (PAH) as affected by the plasma concentration. PAH is secreted. D. Overall Mass Balance for the Kidneys The following figure is a simplified schematic of the kidneys. It represents the function of both kidneys. Renal Physiology14
  • 14. Figure 8 Afferent arteriole Q(V) Q(A) capsule Glomerular capillary Efferent arteriole GFR capillary a b c Bowman's Tubule Peritubular Q(U) Figure by MIT OCW. After Valtin, Heinz. 1983. Renal Function: Mechanisms Preserving Fluid and Solute Balance in Health. Little, Brown. Definitions: Q(A) = arterial flow rate (cc/min.) Q(V) = venous flow rate (cc/min.) Q(U) = urine flow rate (cc/min.) c(i,A) = concentration of the i-th molecular species in arterial blood c(i,V) = conc. of i-th species in venous blood c(i,U) = conc. of i-th species in urine. The overall conservation of fluid in the control volume shown in the figure is: Q(A) = Q(V) + Q(U) (1) For any particular molecular species, i, the conservation of mass would yield: Q(A)*c(i,A) = Q(V)*c(i,V) + Q(U)*c(i,U) (2) Renal Physiology 15
  • 15. Using equation (1) and combining with (2) to eliminate Q(V), we get: Q(A) = Q(U)*[c(i,U) - c(i,V)] / [c(i,A) - c(i,V)] (3) Equation (3) may be used to experimentally measure renal blood flow, Q(A), if we can measure the concentration of the indicator, i, in urine and in both arterial and renal vein blood. It is relatively easy to measure arterial blood concentrations, but rather difficult to measure concentrations in renal venous blood (although it can be done). Fortunately there is a substance— para-aminohipuric acid (PAH)—which is almost completely removed from the blood in one pass through the kidney. Thus, for PAH the concentration in renal venous blood may be taken as zero - c(PAH),V) = 0. Under these conditions: Q(A) = Q(U)*c(PAH,U)/c(PAH,A) (4) This measurement yields the effective renal blood flow. It assumes that indicator concentrations in whole blood are given. If the more usual plasma concentrations are used, then equation (4) will yield renal plasma flow (RPF). RPF is approximately 600-700 cc/min. in the normal adult. Equation (4) is an approximation, since the concentration of PAH is not exactly zero in renal venous blood. Note that with the appropriate catheter techniques, c(i,V) can be measured and exact values of RPF may be derived. The glomerular filtration rate (GFR) is the flow rate of the ultrafiltrate into the nephron from the capillary bed. How might we measure the GFR? If a substance could be found which is filtered freely, but is neither reabsorbed from nor secreted into the urine, then all the substance filtered will be excreted in the urine. Thus: GFR*c(i,A) = Q(U)*c(i,U) GFR = Q(U)*c(i,U)/c(i,A) (5) The indicator substance which fulfills our criteria is a sugar called INULIN. Inulin is not the only substance which can be used. Others include creatinine, vitamin B-12, and iothalamate. The normal GFR is 120-125 cc/min. Renal Physiology16
  • 16. Clearance The concept of “clearance” is commonly used in renal physiology. The term refers to the equivalent volume of plasma from which a substance is completely “cleared” per minute. Thus: CL(i)*c(i,A) = Q(u)*c(i,U) CL(i) = Q(u)*c(i,U)/c(i,A) (6) where CL(i) is the clearance of substance “i” in cc/min. It should be noted that in clinical practice the quantity c(i,A) is taken to be the plasma concentration of the substance i, and is generally measured in systemic venous blood. The PAH clearance CL(PAH) is the renal plasma flow. The inulin clearance CL(inulin) is the GFR. Renal Physiology 17
  • 17. V. SODIUM AND WATER TRANSPORT A. Sodium Balance The volume and osmolarity of extracellular fluid are maintained within very narrow limits. The amount of H2O and Na+ which are filtered each day exceed their daily intake by more than a factor of 100! Thus, fluid and sodium balance depend critically on tubular reabsorption. Sodium excretion = sodium filtered - sodium reabsorbed Sodium excretion may be adjusted by controlling one or both of the above mechanisms. Sodium excretion may be increased by increasing GFR, by decreasing reabsorption, or both. Conversely, sodium excretion may be decreased by decreasing GFR or increasing tubular reabsorption or both. (See Figure 9.) Renal Physiology18
  • 18. Figure 9 (From Vander 1985, p. 436) Filtered Reabsorbed Excreted Na+ Na+ Na+ A B C D Figure by MIT OCW. After p. 436 in Vander, Arthur J., Sherman, James H., and Luciano, Dorothy S. 1985. Human Physiology: The Mechanisms of Body Function. 4th ed. McGraw-Hill. GFR is dynamically controlled largely by changes in the glomerular capillary pressure. This is a function of perfusion pressure, and the resistancesof the afferent and efferent arterioles. The resistances are modified by sympathetic stimulation in response to baroreceptor and volume receptors. Figure 10 illustrates the mechanism by which GFR may respond to volume depletion. Renal Physiology 19 Factors increasing sodium excretion. A) Normal sodium excretion. B) Increasing GFR C) decreasing reabsorption, or D) both, cause an increase in sodium excretion.
  • 19. Figure 10 (From Vander 1985, p. 437) salt and H2O lossplasma atrial pressure baroreceptors cardiac output pressure GFR due to diarrheavolume venous pressure venous return ventricular end- diastolic volume neural reflexes mediated by stroke volume arterial blood activity of renal sympathetic nerves renal arteriolar constriction glomerular capillary pressure Na excreted Figure by MIT OCW. After p. 437 in Vander, Arthur J., Sherman, James H., and Luciano, Dorothy S. 1985. Human Physiology: The Mechanisms of Body Function. 4th ed. McGraw-Hill. In general, sodium reabsorption is active, with passive reabsorption of H2O. The approximate daily turnover of sodium in different portions of the nephron is shown in Figure 11. Renal Physiology20 Neural feedback and control decreases GFR when plasma volume is decreased. Baroreceptors in the heart walls, carotid sinuses, aortic arch, and large veins initiate a sympathetic reflex. This neural pathway is much more significant in lowering GFR than the direct effect of the lowered arterial pressure due to low plasma volume.
  • 20. Figure 11 (From Valtin 1983) PNA + UNA = 100 mEq/L GFR = 180 L/day = 140 mEq/L Filtered load of Na = 25,200 mEq/day 6,300 mEq/day 25% filtered load 1,200 mEq/day 5% filtered load 750 mEq/day 3% filtered load V = 1,500 ml/day 16,800 mEq/day 67% filtered load Dietary intake of Na+ = 155 mEq/day Urinary excretion of Na+ = 150 mEq/day 0.6% filtered load Figure by MIT OCW. After Valtin, Heinz. 1983. Renal Function: Mechanisms Preserving Fluid and Solute Balance in Health. Little, Brown. In the ascending limbs of the loop of Henle sodium transport is active, but water does not follow because this portion of the nephron is impermeable to water. In the late distal tubules, and in the collecting ducts, the reabsorption of water varies directly with the blood concentration of anti-diuretic hormone (ADH), which permits the fine regulation of water balance. B. The Renin-Angiotensin-Aldosterone System Fine adjustments in sodium reabsorption in distal tubules and collecting ducts are mediated by aldosterone. Figure 12 diagrams the renin-angiotensin-aldosterone system. Renal Physiology 21 Normal daily renal sodium turnover in the adult human. At steady state, the organism is “balanced,” such that the daily sodium output equals the daily sodium intake. Sodium output is comprised of renal excretion and extrarenal losses (sweat, saliva, and gastrointestinal secretions – negligible under normal conditions). PNa and UNa refer to the plasma and urinary concentrations of sodium respectively.
  • 21. Figure 12 (From Valtin 1983) angiotensinogen, (� Other peptides Angiotensinases Plasma Angiotensin I (decapeptide) Angiotensin II (octapeptide) Lung and kidneysJuxtaglomerular apparatus Rate-limiting step Renin Converting enzyme Renin substrate, -2 globulin) Liver Adrenal cortex Smooth muscle of arterioles Aldosterone ~ Vasoconstriction System arterial blood pressure Cardiac output - Peripheral resistance Figure by MIT OCW. After Valtin, Heinz. 1983. Renal Function: Mechanisms Preserving Fluid and Solute Balance in Health. Little, Brown. Renin is secreted by the juxtaglomerular apparatus (JGA) in the kidney. Renin splits angiotensinogen to form the physiologically inactive angiotensin I. This is converted to an active substance, angiotensin II by a converting enzyme located in the lung. Angiotensin II is a potent vasoconstrictor, and also stimulates the adrenal cortex to secret aldosterone. This hormone results in increased sodium reabsorption and hence increased extracellular volume. How is renin release controlled? It is renin which is the rate-limiting step in producing aldosterone. There are several factors which may be important in controlling renin release. They include, but are probably not limited to: Renal Physiology22 Possible relationship between renin-antiotensin-aldosterone system dynamics and systemic arterial blood pressure.
  • 22. 1) A decrease in perfusion pressure of the renal artery (as would be expected when extracellular volume is depleted) results in an increase in renin production and vice- versa. 2) A change in NaCl in the vicinity of the macula densa modulates renin release. A decreased salt concentration in the tubular fluid leads to increased renin secretion. The precise mechanism is unclear. 3) Sympathetic nervous stimulation of the kidney increases the release of renin. Figure 13 shows a sequence of events which would follow a decrease in plasma volume. (These events would occur in parallel to those illustrated in Figure 10.) Renal Physiology 23
  • 23. Figure 13 (From Vander 1990) Renin Secretion Less Stretch Activity of Renal Sympathetic Nerves Arterial Pressure Plasma Renin Aldosterone Secretion Sodium Reabsorption Sodium Excretion Renal Granular Cells Adrenal Cortex Renal Tubules Direct Effect of Plasma Volume Plasma Angiotensin II Plasma Aldosterone Figure by MIT OCW. After Vander, Arthur J., Sherman, James H., and Luciano, Dorothy S. 1990. Human Physiology: The Mechanisms of Body Function. 5th ed. McGraw-Hill. C. Atrial Natriuretic Peptide In 1981 Aldolfo de Bold and colleagues demonstrated that extracts derived from the cardiac atria caused a potent natriuresis and diuresis in rats. Since then, extensive research has focussed on this substance, known as atrial natriuretic peptide (ANP). It is now known to be a peptide hormone which is synthesized in atrial tissue, and stored as membrane-bound secretory granules. Renal Physiology24 Mechanism of increased reabsorption and decreased sodium excretion in response to plasma volume decrease. Granular cells function as intrarenal baroreceptors responding directly to decreased stretch due to the lowered arterial pressure. Renal sympathetic nerves can also stimulate granular cells. A third signal for stimulating renin secretion is via the macula densa (not shown).
  • 24. ANP has been completely characterized: isolated, sequenced, and synthesized. It is released into the blood stream by atrial stretch, which generally results from increases in blood volume. The hormone has several different effects, all of which tend to diminish blood volume and blood pressure. Increased ANP leads to: 1. Increased excretion of sodium (natriuresis). The mechanisms include increased GFR (caused by increased efferent arteriolar resistance), and also decreased tubular transport of sodium. 2. Increased excretion of water (diuresis). 3. Vasodilation (both arteriolar and venous). 4. Decreased production of aldosterone, and decreased secretion of aldosterone. 5. Decreased secretion of renin. 6. Decreased release of anti-diuretic hormone (ADH) from the posterior pituitary. Renal Physiology 25
  • 25. VI. REGULATION OF EXTRACELLULAR VOLUME AND OSMOLARITY Regulation of extracellular volume depends not only on regulation of sodium, but also upon the control of free water. Thus, not only volume, but also osmolarity may be regulated by the kidney. Anti-diuretic hormone, ADH, controls the permeability of the late distal tubules and collecting ducts to water. Thus, in these regions of the kidney, the reabsorption of salt and water can be controlled independently. ADH is produced by specialized hypothalamic neurons and is transmitted via their axons to the posterior pituitary gland where it is released into the blood. How is ADH release controlled? - Baroreceptors located in large veins and in the atria when stimulated by increased vascular volume, send inhibitory signals to increased secretion of H2O. (See Figure 14.) - Osmoreceptors in the hypothalamus stimulate increased ADH release in the presence of increased osmolarity. Thus, the permeability of distal tubules and collecting ducts is increased to H2O, and water is retained. It is easy to see how one can excrete excess water in a dilute urine. ADH is reduced, less H2O is reabsorbed in the collecting ducts and distal tubules, and more H2O was excreted. The most dilute urine possible is about 50 osmoles/liter. (See Figure 15.) Renal Physiology26
  • 26. Figure 14 (From Vander 1985) Figure by MIT OCW. After Vander, Arthur J., Sherman, James H., and Luciano, Dorothy S. 1985. Human Physiology: The Mechanisms of Body Function. 4th ed. McGraw-Hill. Renal Physiology 27 Plasma volume regulation of ADH. Elevated plasma volume increases left atrial pressures, stimulating the atrial baroreceptors and inhibiting ADH secretion.
  • 27. Figure 15 (From Vander 1990) 2 O Ingested Osmoreceptors Renal Tubules 2 O H2 H2 ( H2 Excess H Body-Fluid Osmolarity Firing by Hypothalamic ADH Secretion Posterior Pituitary Plasma ADH Tubular Permeability to H O Reabsorption O Excretion O Concentration) Figure by MIT OCW. After Vander, Arthur J., Sherman, James H., and Luciano, Dorothy S. 1990. Human Physiology: The Mechanisms of Body Function. 5th ed. McGraw-Hill. But how can the body conserve water and excrete a hyperosmotic urine? The answer is found in the countercurrent multiplier system which permits the renal medulla to become extremely hyperosmotic (osmolarity of about 1400). Figure 16 illustrates the end result of the counter current system, and reveals that in the presence of high ADH levels, urine may reach an osmolarity of Renal Physiology28 Regulation of volume in response to excess water ingestion. Osmoreceptors in the hypothalamus detect the drop in osmolarity and decrease ADH secretion to allow excretion of excess water.
  • 28. Countercurrent multiplier responsible for the formation of hypertonic urine formation.
  • 29. VII. pH REGULATION The kidney is critical in regulation of the body's hydrogen ion concentration. During the metabolism of the average western diet, approximately 70-100 mEq of non-volatile (non-CO2) acid is produced, and all of it must be excreted by the kidney in order to maintain body acid-base balance. The primary extracellular buffering system is the bicarbonate system: HR + NaHCO3 --> NaR + H2O + CO2 Thus the production of 100 mEq of nonvolatile acid (HR) will be buffered by an equivalent amount of bicarbonate to form the sodium salt of the acid, plus carbon dioxide and water. The carbon dioxide is lost via the lungs, and if the process went on this way it would not be long before all the bicarbonate stores of the body would be gone. The kidney's task is to reverse the process by excreting 100 mEq of fixed acid each day, and regenerating the equivalent amount of bicarbonate. The kidney must also prevent the loss of bicarbonate in the urine—all bicarbonate filtered must be reabsorbed. a. Reclamation of Filtered Bicarbonate The proximal tubule reabsorbs 85-90% of filtered bicarbonate, which amounts to about 4,500 mEq (25 mEq/L X 180 L/day) per day. The mechanism is sketched in figure 17. The key process is thought to occur via a Na+/H+ coupled transport system (antiporter). b. Bicarbonate Regeneration (excretion of titratable acid) The distal nephron (predominantly the collecting duct) is the predominant site for bicarbonate regeneration and excretion of acid. The key mechanism is an electrogenic proton pump from the interior of the cell against an electrochemical gradient. This pump, requiring metabolic energy through ATP, is located on the luminal surface of the collecting duct epithelium. (See figure 18.) The epithelium can generate very large hydrogen ion concentration gradients (103, or 3 pH units). Sodium reabsorption is not apparently coupled to the hydrogen ion pump in the collecting duct cells. The excreted hydrogen ions combine in the urine with either filtered anions such as phosphate, sulfate, or urate; or with ammonia which is produced by the epithelial cells. In either case, the hydrogen ion is “trapped” in the urine and is excreted as a weak acid or as the polar ammonium ion NH4+. In order to maintain acid-base equilibrium, there must be a net acid secretion of 70-100 mEq per day through these mechanisms. Renal Physiology30
  • 30. The body pH is established primarily via the bicarbonate buffer system, and is given by the Henderson-Hasselbalch equation: pH = 6.1 + log [HCO3 -] / (0.03)(PCO2) The lungs are responsible for regulating the PCO2 and the kidneys regulate the bicarbonate concentration. The former can act very quickly—in minutes, while the renal mechanisms are much slower—hours to days. Figure 17 (From Seldin and Giebisch 1989) Cell Na + Na + Na+ H + CO2CO2 CO2 H2 O+ H2 O C.A.C.A. CO2 H2CO3H2 CO3 + HCO3+ H + HCO3 + ? HCO3 - - HCO3 - - BloodTubular Lumen Filtered Bicarbonate 4500 mEq/24h Proximal Tubule Figure by MIT OCW. After Seldin, Donald W., and Giebisch, Gerhard. 1989. The Regulation of Acid-Base Balance. Raven Press. Renal Physiology 31
  • 31. Figure 18 (From Seldin and Giebisch 1989) Cell Na+Na + NH4 A - Na + +A - H + A - H + Glutamine CO2 C.A. H2 CO3 NH3 + CO2 H2 O+ 70-100 mEq/24h HCO3 + HCO3 + - H + ATP ADP BloodTubular Lumen Regenerated Bicarbonate Net Acid Excretion 70 - 100 mEq/24h Distal Nephron Figure by MIT OCW. After Seldin, Donald W., and Giebisch, Gerhard. 1989. The Regulation of Acid-Base Balance. Raven Press. REFERENCES Seldin, Donald W., and Giebisch, Gerhard. 1989. The Regulation of Acid-Base Balance. Raven Press. Valtin, Heinz. 1983. Renal Function: Mechanisms Preserving Fluid and Solute Balance in Health. Little, Brown. Vander, Arthur J., Sherman, James H., and Luciano, Dorothy S. 1985. Human Physiology: The Mechanisms of Body Function, 4th ed. McGraw-Hill. Vander, Arthur J., Sherman, James H., and Luciano, Dorothy S. 1990. Human Physiology: The Mechanisms of Body Function, 5th ed. McGraw-Hill. Renal Physiology32