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C. Establishes an equilibrium potential for a particular ion
based on Donnan equilibrium
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Nernst equation 1. What membrane potential would exist at the true equilibrium for a particular ion? - What is the voltage that would balance diffusion gradients with the force that would prevent net ion movement? 2. This theoretical equilibrium potential can be calculated (for a particular ion). Eion = RT ln [X]outside zF [X]inside
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Goldman Equation 1. quantitative representation of Vm when membrane is permeable to more than one ion species 2. involves permeability constants (P) RT PK [K+]out + PNa [Na+]out + PCl[Cl-]in ___ _____________________________ ENa,K,Cl = ln PK [K+]in + PNa [Na+]in + PCl[Cl-]out F pp 72-73
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Resting Potential A. Vrest
1. represents potential difference at non-excited state -30 to -100mV depending on cell type 2. not all ion species may have an ion channel 3. there is an unequal distribution of ions due to active pumping mechanisms - contributes to Donnan equilibrium - creates chemical diffusion gradient that contributes to the equilibrium potential
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Resting Potential B. Ion channels necessary for carrying charge across the membrane 1. the the concentration gradient, the greater its contribution to the membrane potential 2. K+ is the key to Vrest (due to increased permeability)
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Resting Potential C. Role of active transport
ENa is + 63 mV in frog muscle Vm is to -100mV in frog muscle
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Action Potentials large, transient change in Vm
depolarization followed by repolarization propagated without decrement consistent in individual axons “all or none”
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Action Potentials A. Depends on
1. ion chemical gradients established by active transport through channels 2. these electrochemical gradients represent potential energy 3. flow of ion currents through “gated” channels - down electrochemical gradient 4. different types of Na+ and K+ channels than seen in most cells - voltage-gated
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Action Potentials B. Properties 1. only in excitable cells
- muscle cells, neurons, some receptors, some secretory cells
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Action Potentials B. Properties
2. a cell will normally produce identical action potentials (amplitude)
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Action Potentials B. Properties 3. depolarization to threshold
- or just local response (potential) if it does not reach threshold - rapid depolarization - results in reverse of polarity
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Action Potentials B. Properties a. threshold current (-30 to -55 mV)
b. AP regenerative after threshold (self-perpetuating)
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Action Potentials B. Properties
4. overshoot: period of positivity in ICF 5. repolarization a. return to Vrest b. after-hyperpolarization
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Action Potentials B. Properties 6. accommodation
a. time-dependent decrease in excitability b. result of a series of subthreshold depolarizations c. threshold increases d. the slower the rate of depolarization (current intensity), the greater the in threshold e. change in sensitivity of ion channels
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Action Potentials C. Refractory period 1. absolute 2. relative
a. strong enough stimulus can elicit another AP b. threshold is increased
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Action Potentials D. ∆ Ion conductance
- responsible for current flowing across the membrane
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Action Potentials D. ∆ Ion conductance 1. rising phase: in gNa
overshoot approaches ENa (ENa is about +60 mV) 2. falling phase: in gNa and in gK 3. after-hyperpolarization continued in gK approaches EK (EK is about -90 mV)
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Gated Ion Channels A. Voltage-gated Na+ channels 1. localization
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Gated Ion Channels A. Voltage-gated Na+ channels 1. localization
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Gated Ion Channels A. Voltage-gated Na+ channels 1. localization
b. ligand-gated at synapses
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Gated Ion Channels A. Voltage-gated Na+ channels 1. localization
Na+ channels occupy only a small fraction of surface area channels/m
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Gated Ion Channels A. Voltage-gated Na+ channels 2. current flow
a. Na+ ions flow through channel at 6000/sec at emf of -100mV b. number of open channels depends on time and Vm
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Gated Ion Channels A. Voltage-gated Na+ channels 3. opening of channel
a. gating molecule with a net charge
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Gated Ion Channels A. Voltage-gated Na+ channels 3. opening of channel
b. change in voltage causes gating molecule to undergo conformational change
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Gated Ion Channels A. Voltage-gated Na+ channels
4. factors contributing to specificity a. anions at mouth of channel b. size c. ability to dehydrate (shed water of hydration)
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Gated Ion Channels A. Voltage-gated Na+ channels
5. generation of AP dependent only on Na+ repolarization is required before another AP can occur K+ efflux
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Gated Ion Channels A. Voltage-gated Na+ channels
6. positive feedback in upslope a. countered by reduced emf for Na+ as Vm approaches ENa b. Na+ channels close very quickly after opening (independent of Vm)
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Gated Ion Channels B. Voltage-gated K+ channels
1. slower response to voltage changes than Na+ channels 2. gK increases at peak of AP
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Gated Ion Channels B. Voltage-gated K+ channels
3. high gK during falling phase decreases as Vm returns to normal channels close as repolarization progresses
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Gated Ion Channels B. Voltage-gated K+ channels
4. hastens repolarization for generation of more action potentials
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Does [Ion] Change During AP?
A. Relatively few ions needed to alter Vm B. Large axons show negligible change in Na+ and K+ concentrations after an AP.
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