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Membrane Potentials
Lecture Objectives
At the end of lecture students should be able to:
Nerve and its classification
• Recognize the various ion channels.
• Recognize and describe forces acting on ions.
• Discuss diffusion potential.
• Discuss Nernst potential.
• Apply Nernst s equation to calculate membrane
potential.
• Apply Goldman-Hodgkin-Katzequation to calculate
membrane potentials.
• Explain the origin of resting membrane potential.
Neuron structure
Structural classification of
neuron
Types of neuron
Classification of nerve fiber
• On the bases of structure
Mylinated
Unmylinated
On the bases of function:
Sensory (Afferent)
Motor (Efferent )
Membrane potential
Basic Physics of Membrane Potentials
• Diffusion potential is the potential difference
generated across a membrane because of a
concentration difference of an ion.
• It can be generated only if the membranes is
permeable to the ion.
Ion concentration
Na and chloride are usually present at
higher concentrations outside the cell.
Negativity of cells
• In neuron K and organic anions (such as
those found in proteins and amino acids) are
present at higher concentrations inside the
cell than outside creating intracellular more
negative
Electro chemical forces
Driving Forces
• Chemical gradient : arises from the concentration
difference between the two compartments
Diffusion of force causes of movement potassium
ion from inside to out side through leaky channels due
chemical gradient .
• Electrical gradient develop
Electrical forces pulls potassium ion inside the
cell
Two forces become balanced and prevent
further diffusion of ions called equilibrium potential or
nernst potential
Cont:
• Chemical gradient, which arises from the concentration
difference between the two compartments; and
• Electrical gradient, which initially does not exist, but is
established as soon as K+ begins to move from
compartment inside to outside , and gets larger and larger
as more and more K+ ions diffuse down their concentration
gradient from compartment i to o. then move from outside
to inside due to electrical gradient
• Therefore, it can be seen that the larger the chemical
gradient (i.e., concentration gradient) across the
membrane, the larger the resulting electrical gradient will
be in order to balance the diffusion of the ion from the
compartment with high concentration to the compartment
with low concentration.
Nernst potential
• When the Electrical gradient ,which tends to keep K+ inside
equal , the concentration gradient (which tend to push K+
outside)→ there will be no net K+ movement across the
membrane.
• Similarly Na is move inside the cell due to concentration
gradient carrying positive charge inside cell and progresively
decreasing the negativity inside the cell
• When the electrical force (which tends to push Na out side
the cell) become equal to concentration gradient (which tend
to push Na inside the cell) → there will be no net Na+
movement across the membrane
Nernst potential
• also called equilibrium potential or Electrochemical
potential
• The potential which prevent the further diffusion of
ions in spite of existing concentration difference of
ions is called Nernst potential.
• electrical gradient will completely balance the
chemical gradient and there is no net movement of
ions between the two compartments
Nernst equation
used to calculate Nernst potential of individual
ions
• EMF millivolts = + 61 log Concentration inside
Concentration outside
The Nernst Potential
For K + EMF = -61 log 140/4
= - 61 log 35
= - 61* 1.54
= - 94 mv
Nernst Potential (equilibrium potential)
• The value of the equilibrium potential for any ion depends
upon the concentration gradient for that ion across the
membrane.
• If the concentrations on the two sides were equal, the force of
the concentration gradient would be zero, and the equilibrium
potential would also be zero.
• The larger the concentration gradient, the larger is the
equilibrium potential. The equilibrium potential for any ion
can be calculated using the so called Nernst equation.
Diffusion Potential of the Membrane permeable to Several Ions
When a membrane is permeable to several
different ions, the diffusion potential that develops
depends on three factors:
• the polarity of the electrical charge of each ion
• the permeability of the membrane (P) to each ion,
• the concentrations (C) of the respective ions on the
inside (i) and outside (o) of the membrane.
Goldman equation
• The influence of multiple ions is best
determined using the Goldman Equation,
The Goldman-Hodgkin-Katz
equation
• The Goldman-Hodgkin-Katz equation, gives
the calculated membrane potential on the
inside of the membrane when two univalent
positive ions, sodium (Na+) and potassium
(K+), and one univalent negative ion, chloride
(Cl–), are involved.
Goldman equation
• Goldman equation gives a potential
• inside the membrane of –86 millivolts,
which is near the potassium potential (-
94)
Resting membrane potential
The Resting Potential
• Difference in electrical charges across the membrane
during the resting stage of cell is called resting membrane
potential.
• The resting potential (when the cell is not firing) is a 70 to
90 mV difference between the inside and the outside.
inside
outside
Resting potential of neuron = -70mV
+
-
+
-
+
-
+
-
+
-
Ions and the Resting Potential
• Ions are electrically-charged molecules e.g. sodium (Na+), potassium
(K+), chloride (Cl-).
• The resting potential exists because ions are concentrated on different
sides of the membrane.
– Na+ and Cl- outside the cell.
– K+ and organic anions inside the cell.
inside
outside
Na+
Cl-
Na+
K+
Cl-
K+
Organic anions (-)
Na+
Na+
Organic anions (-)
Organic anions (-)
Negativity of cell
RMP
• Resting membrane potential is the difference
in the electrical potential between the interior
and exterior of cell when the cell is at rest.
• There is a separation of charges
• Membrane is polarized at resting stage
Factors Affecting RMP
• 3 factors
– Polarity of each ion
– Membrane permeability of the ions
– Concentrations of respective ions on both sides:
(i= inside), (o= outside)
Ion Intracellular Extracellular Normal
Plasma
Value
K+
150 5 3.5-5.0
Na+
12 140 135-145
Cl-
10 105 100-108
Organic
Anions
65 0
T3-5
• Difference in ion concentration between compartments gives rise to
the resting membrane potential (RMP). Membrane permeability to
these ions also influences the RMP.
• Transient changes from the RMP produce electrical signals which
transmit information in nerve cells.
Changes in the Membrane Potential Produce
Electric Signals in Nerve Cells
Resting Potential
In a resting neuron (one
that is not conducting
an impulse), there is a
difference in
electrical charges on the outside and inside of the
plasma membrane. The outside has a positive
charge and the inside has a negative charge.
• Considerable energy is
expended by cells to
move Na+ and K+
• inside of the cell is
more negative due to
presences of negative
charge proteins and
phosphate ions inside
the cell that cannot
cross the membrane.
Origin of the Normal Resting
Membrane Potential
• Contribution of the Potassium Diffusion
Potential
• Contribution of Sodium Diffusion Through
the Nerve Membrane
• Contribution of the Na+-K+ Pump.
Contribution of the Potassium
Diffusion Potential
• if potassium ions were the only factor causing
the resting potential, the resting potential
inside the fiber would be equal to –94
millivolts
Contribution of Sodium Diffusion
Through the Nerve Membrane
• The ratio of sodium ions from inside to
outside the membrane is 0.1, and this gives a
calculated Nernst potential for the inside of
the membrane of +61 millivolts.
Contribution of passive diffusion
The sodium-potassium pump
creates a concentration
and electrical gradient for
Na+ and K+, which means
that K+ tends to diffuse
(‘leak’) out of the cell and
Na+ tends
to diffuse in. BUT, the membrane is much more permeable to K+, so K+ diffuses out
along its concentration gradient much more slowly.
role of pump sodium-potassium pump
• sodium-potassium pump maintain a
electrochemical gradient which is necessary
for the establishment of resting membrane
potential.
• Na- k pump (active transport) is not involve in
action potential .
• it help in generation of restoring of RMP .
origin RMP
• In resting potential Contribution by passive
transport is -86mv ( calculated by Goldman equation)
• Contribution by sodium-potassium pump is
- 4mv
• RMP is -90 mv
• In resting membrane potential the main
contribution is of potassium ions
Resting membrane potential (RMP)
• diffusion through Potassium sodium (K+-Na+)
“leak” channel needs concentration gradient
• Potassium is 100 time permeable than Na
through channel
• In resting membrane potential the main
contribution is of potassium ions
•
RESULTS IN:
a net positive charge
outside & a net negative charge
inside. Such a membrane is
POLARISED
Explanation
• one can see that if the membrane is highly permeable
to potassium but only slightly permeable to sodium.
• it is logical that the diffusion of potassium contributes
far more to the membrane potential than does the
diffusion of sodium.
• In the normal nerve fiber, the permeability of the
membrane to potassium is about 100 times as great as
its permeability to sodium.
• Using this value in the Goldman equation gives a
potential inside the membrane of –86 millivolts, which
is near the potassium potential
Factors Affecting RMP
• 3 factors
– Polarity of each ion
– Membrane permeability of the ions
– Concentrations of respective ions on both sides:
(i= inside), (o= outside)
Key points
• A resting (non-signaling) neuron has a voltage across its membrane called
the resting membrane potential, or simply the resting potential.
• The resting potential is determined by concentration gradients of ions
across the membrane and by membrane permeability to each type of ion.
• In a resting neuron, there are concentration gradients across the
membrane for Na and K
• Ions move down their gradients via channels, leading to a separation of
charge that creates the resting potential.
• The membrane is much more permeable to k than Na,so resting potential
is close to the equilibrium potential of K, the potential that would be
generated by  K, if it were the only ion in the system).
Action Potential
Action potential
Rapid transient changes in electrical potential
across a plasma membrane of excitatory cell
(as of a neuron or muscle fiber) that spread
rapidly along the nerve/muscle fiber
membrane .
it occurs when a cell has been activated
by a stimulus
Action potentials: Rapid depolarization
• When partial depolarization reaches the activation threshold,
voltage-gated sodium ion channels open.
• Sodium ions rush in.
• The membrane potential changes from -70mV to +40mV.
Na+
Na+
Na+
-
+
+
-
threshold
• Threshold potential :Minimum potential
required to generate action potential (-55 t0 -
65 Mv)
• the threshold for activation of a fiber
depends not only on stimulus strength, but
also on the duration of the stimulus
• Thus when the stimulus is stronger, a larger
number of fibres reach threshold.
When enough sodium
ions enter the cell to
depolarise the
membrane to a critical
level (threshold level)
an action potential
arises which generates
an impulse.
In order for the neuron to
generate an action potential
the membrane potential
must reach the threshold of
excitation.
• http://highered.mheducation.com/sites/0072
495855/student_view0/chapter14/animation_
_the_nerve_impulse.html
• http://highered.mheducation.com/sites/0072
943696/student_view0/chapter8/animation__
the_nerve_impulse.html
Events during
an action
potential
Figure 4-7
Na channel
• QUESTION: Given that the Na+ equilibrium potential
is +60 mV and the membrane potential moves from
its resting level to 0 mV, in what direction will Na+
now move through any open Na+ channels?
• QUESTION: If the K+ equilibrium potential is -90 mV
and the membrane potential is -70 mV, in
what direction will K+ move through open K+
channels?
Restoring of the Resting Potential
Na+/K+ pumps gradually restores the
concentration gradients disrupted by action
potentials.
• 3 Sodium ions are pumped into the ECF
• 2 Potassium ions are pumped into the ICF
• Na- potassium pump bring the membrane
towards resting membrane potential
• Sodium- potassium pump have no role in
generation of action potential
Channel responsible for action potential
(Summary )
The action potential
1. RMP:
• Resting membrane potential is the difference
in the electrical potential between the interior
and exterior of cell when the cell is at rest. -70
to -90 Mv in neurons
2. THRESHOLD potential :minimum potential
required to generate action potential (-55 t0 -
65 Mv)
3.DEPOLARIZATION :
• Influx of Na ion through voltage gated Na
channels causes the inside of the
membrane to become increasingly more
+ ve:
4. Spike potential ( over shoot potential )
This is the peak of the action potential, that
membrane is about +35 to +40 mV. As the
voltage becomes positive, the sodium
channels close, or inactivate, and the voltage-
gated potassium channels open.
5. REPOLARIZATION:
• K+ ions diffuse out of the cell down
the electrochemical diffusion gradient,
through voltage gated K+channels so making
the inside of the cell more negative
again:
6. HYPERPOLARIZATION:
• K+ channels close slowly , greater amount of
potassium moves out and membrane
potential becomes even more negative than
the resting potential for a brief period; this is
called hyperpolarization
• Recovery (potassium channels close )
Na+/K+ pumps gradually restores RMP and
reestablish the concentration gradients of Na+
and K+ ions disrupted by action potentials.
• 3 Sodium ions are pumped into the ECF
• 2 Potassium ions are pumped into the ICF
Properties of the action potential
• It is propagative
• Have Refractory period
• Impulse always transmit away from
stimulus(orthrodromic conduction)
• Unidirectional because of refractory period
• same size and shape
• within specific time
• All-or-None Principle
Properties of action potential
• Have same size and shape for specific cells,
irrespective of the intensity of the stimulus
• specific time :
Exists within a specific time frame 1 to 5
msec.- (i.e time duration of the action
potential is always the same for a specific
tissue
• has fixed amplitude
The Action Potential Types
Refractory period
When an action potential is being produced, a
second stimulus will not generate a second action
potential
• Duration :about 1 ms
• the ion channels remain closed and cannot be
made to reopen so no further depolarisation
is possible