(a) Using the equations that describe ion flow due to diffusion and due to an applied electric field, derive the Nernst-
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(a) Using the equations that describe ion flow due to diffusion and due to an applied electric field, derive the Nernst-
(a) Using the equations that describe ion flow due to diffusion and due to an applied electric field, derive the Nernst-Planck equation. Define all variables and give units for each. (b) Assuming permeability to potassium ions only, derive an expression for the potassium equilibrium potential of a given membrane (Nernst Potential). C) The major extracellular and intracellular ion concentrations for the squid giant nerve axon are: 20 mM 400 MM Na 440 mM Na 50 mM cl. 560 mm Cl 40 MM II K K = = = II Determine the Nernst Potential for each ion at 6.3°C. If the resting membrane potential is -68.7 mV, which of these ions is closest to equilibrium? What is the direction of flow of the other ions? Explain your answer in each case. (d) Using an equivalent circuit model for a section of nerve membrane, estimate the new resting membrane potential if the extracellular potassium concentration increases to 100 mM. The conductances of the potassium, sodium and chlorine channels are 0.367 mm, 0.01 ms mand 0.01 mS m², respectively. Explain how the change in extracellular potassium concentration will affect the excitability of the membrane.
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