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Neuronal cell membrane at rest
has a cloud of positive charges on the outer surface and a cloud of negative charges on the inner surface
Separation of charge
maintained by the lipid bilayer and the Na-K pump
Charges separated at rest
maintained because the membrane acts as a barrier to diffusion no diffusion can occur through the membrane unless an ion channel is opened
Membrane potential Vm
the electrical potential or voltage difference across the membrane created by charge separation defined as Vm = Vin-Vout
Resting membrane potential RMP
the membrane potential of a cell at rest usually ranges from -60 mV to -70 mV
Electrical signaling
results from brief changes in the RMP caused by electrical currents ions flowing across the cell membrane
Depolarization
changes in membrane potential that result in a less negative more positive membrane potential
Hyperpolarization
changes in membrane potential that result in a more negative membrane potential more negative than the RMP
Passive responses of the membrane
changes in membrane potential that do not lead to the opening of channels and are referred to as electrotonic potentials
Electrotonic potentials
the size of the change in potential is proportional to the size of the current pulse
Threshold
depolarizing events that reach this point will lead to action potential generation
Direction of current flow
defined by the net movement of positive charge
Ion distribution
unevenly across the cell membrane
Na and Cl ions
concentrated outside the cell membrane
K ions
concentrated inside the cell membrane
A- ions
various proteins amino acids concentrated on the inside such molecules cannot cross the membrane
Ionic concentrations in vertebrate nerve cells
typically much lower than in the giant squid axon
Ratio of external to internal ion concentrations
are similar and therefore the concentration gradients are similar
Resting channels
are not voltage-gated and are typically open
Resting potential at rest
expected to be very close to the electromotive force for K+ the ion with the largest membrane conductance
Glial cells RMP
typically about -75 mV
K ions at rest
tend to diffuse down their concentration gradients moving from the inside to the outside
K diffusion effect
net positive charge accumulates on the outside attracting negative charges on the inside
K+ flux out of the cell
is self-limiting due to electrical potential difference generated by growing charge separation
Ions subject to two forces
1 a chemical driving force and 2 an electrical driving force
Equilibrium for K EK
the point where the electrical driving force on K+ will be balanced by the chemical driving force
EK equilibrium potential
outward movement of K+ driven by concentration gradient equals inward movement of K+ driven by electrical potential difference
Glial cells resting open channels
permeable only to K+
Equilibrium potential
the electrical potential generated across the membrane at electrochemical equilibrium predicted by the Nernst equation
Equilibrium potential definition
defined in terms of the potential difference between the outside and the inside of the cell
High K+ inside
an inside-negative potential is measured across the membrane
Nernst equation for K at 25C general
EK = 58 mV/z log K+o/ K+I
Valence for K+
z = +1
Nernst equation for K at 25C specific
EK = 58 mV log K+o/ K+I
Calculated EK using 20 and 400 concentrations
-75 mV
Nernst equation prediction linear relationship
a slope of -58 mV per tenfold change in the K+ gradient when Vm is plotted against log K+ gradient
Condition for no membrane potential
if membrane permeable only to K+ and K+ is replaced by Na+ unless membrane permeable to Na+
Membrane potential if permeable to Na+ with 10mM outside 1mM inside
58 mV
Membrane potential if permeable to Cl- with 1mM outside 10mM inside
58 mV
Vm set at EK
yields no net flux of K+
Vm more negative than EK
K+ will move against its concentration gradient moving from outside to inside
Neuronal cell membranes permeability
permeable to K+ Na+ and Cl-
Membrane permeable to more than one ion
such ions contribute to the driving forces acting on all permeable ions
Na+ ions when membrane permeable to Na+
driven in by 1 the chemical gradient for Na+ and 2 the negative electrical potential across the membrane
Influx of Na+
would depolarize the cell but only slightly from the equilibrium potential for potassium EK
ENa value
+55 mV
Vm not near ENa
due to many more resting K+ channels than Na+ channels in the membrane
Vm depolarizes away from EK
K+ is no longer in equilibrium
What happens to K+ when Vm depolarizes
K+ moves out of the cell trying to counter the influx of Na+
New resting potential
reached when the increased outward movement of K+ is balanced by the inward movement of Na+
Ion flux equation
electrical driving force + chemical driving force x membrane conductance
Cole and Curtis discovery
ion conductance across the membrane increases greatly during an AP
AP ion flux evidence
Cole and Curtis discovery was the first evidence that an AP results from changes in the flux of ions through channels
Hodgkin and Katz insight
observed that AP amplitude is reduced when external concentration of sodium is lowered
Action potential AP
the primary electrical signal generated by neurons
AP origin
arises from changes in membrane permeability to specific ions
AP ion changes
rapid and transient rise in sodium permeability followed by a slower and prolonged rise in potassium permeability for most axons
AP initiation
when the neuronal membrane potential becomes more positive than threshold
Permeabilities during AP
both are voltage-dependent increasing as the membrane potential depolarizes
Ionic permeability evidence
comes from voltage clamp studies
Understanding permeability
requires controlling membrane potential and simultaneously measuring permeability changes
Problem studying AP permeability
any change in Vm producing an AP would lead to more uncontrolled changes in Vm
Voltage clamp method
technique that allowed scientists to clamp the voltage at a desired value and observe changes in membrane conductance
Positive feedback mechanism in AP
drives the membrane potential to generate an AP making it impossible to stabilize the membrane potential
Voltage clamp effect on channels
interrupts the interaction between membrane potential and the opening and closing of voltage-gated ion channels
Goldman equation
takes into account the concentration gradient and the relative permeability of several ions more typical of a real neuron
Goldman equation vs Nernst equation
extended version of the Nernst equation needed when membrane is permeable to more than one ion
Goldman equation reduction
reduces to the Nernst equation if the membrane were permeable to K+ only
Vm if equally permeable to K+ and Na+
0 mV or some intermediate value if unequally permeable
Hodgkin and Huxley technique use
used the voltage clamp technique to understand the permeability changes underlying the AP
HH tested hypothesis
membrane potential-sensitive Na+ and K+ permeability changes are both necessary and sufficient to produce an AP
HH research question 1
Do neuronal membranes have voltage-dependent permeabilities
HH method to test voltage-dependence
asked if ionic currents flow across the membrane when the potential is changed
Hyperpolarization by 65 mV
results in a brief capacitive current or a redistribution of charge across the membrane
Ion flow after hyperpolarization
very little ion flow across the membrane
HH observation during depolarization
a very different response from that observed during hyperpolarization
Depolarization ionic currents observed by HH
a rapid rising inward current followed by a more slowly rising delayed outward current after the capacitive current
Membrane permeability of axons
established to be voltage-dependent based on the observation that depolarization elicits ionic currents
Ionic permeability characteristic
is voltage-sensitive or voltage-dependent
Current flow negative Vm
no appreciable current flows at negative membrane potentials below the resting potential
When the Vm (membrane potential) than its reverse potential
current flows and reverses its polarity at more positive potentials
Early current flow at +52 mV
no current flows when the membrane is clamped at +52 mV
Calculated ENa in squid neurons
+55 mV
Early current carrier identification
carried by entry of Na+ into the axon because no current flows at ENa
Removing external sodium effect
the early current reversed in polarity becoming an outward current
Removing external sodium effect on ENa
would make ENa negative reversing the electrochemical gradient causing Na+ to flow outward
Reversal of polarity restoration
reversed back to normal when external Na+ was restored
Outward current cause
due to the flux of another ion other than sodium not affected by external sodium removal
Strongest evidence for K+ efflux
amount of K+ efflux from the neuron is correlated with the magnitude of the late outward current
Ionic permeability mechanisms
two different mechanisms suggested because inward current was transient and outward current was sustained
Confirmation of two mechanisms
confirmed by using drugs that block each current separately
Na current blocker
Tetrodotoxin TTX
K current blocker
Tetraethylammonium TEA
Na and K current pathways
use different independent pathways
Ionic current equation
Iion = gion Vm – Eion
Electrochemical driving force
Vm – Eion determines the direction of ionic current and its magnitude
HH conductance calculation
calculated the dependence of Na+ and K+ conductances on time and membrane potential using voltage clamp
Na and K conductances behavior
initially increase in amplitude as Vm is made more positive
K+ driving force direction
positive and outward if Vm is more positive than EK negative and inward if Vm is more negative than EK
Na+ driving force direction
positive and outward if Vm is more positive than ENa meaning electrical force pushing Na+ out is greater than chemical force pushing Na+ in