Nernst Potentials and Equilibrium Resting Potential: Consider the following simplified circuit model for a Hodgkin-Huxley neuron at body temperature (37 °C), with membrane conduc- 15 μS/cm², and with membrane tance densities 9k 20 μS/cm², gNa 5 μS/cm², and gcl capacitance density Cm = 1 µF/cm². + Vm = = 8K +&& Cm + Ек = 8Na Ionic Species Intracellular concentration K+ 140 mM Na+ 12 mM CI- 152 mM E Na 8 cl Ea With the intracellular and extracellular concentrations given in the table below, calculate the Nernst potentials for each of the ionic species: EK, ENa, and Eci. Extracellular concentration 5 mM 140 mM 145 mM Using the circuit model with Nernst potentials EK, Eña, and Eci and the conductances given above, find the membrane potential Vm at steady-state. Now find the equilibrium resting potential Vm using the Goldman-Hodgkin-Katz equa- tion. Compare the two values of the membrane potential Which value is more reasonable for a typical resting potential of a cell? Hint: Membrane conductance (the reciprocal of membrane resistance) for any ion type is di- rectly proportional to membrane permeability for that ion type. Find the time constant for the membrane potential Vm of the cell to recover from a transient and settle to its steady-state value.
Nernst Potentials and Equilibrium Resting Potential: Consider the following simplified circuit model for a Hodgkin-Huxley neuron at body temperature (37 °C), with membrane conduc- 15 μS/cm², and with membrane tance densities 9k 20 μS/cm², gNa 5 μS/cm², and gcl capacitance density Cm = 1 µF/cm². + Vm = = 8K +&& Cm + Ек = 8Na Ionic Species Intracellular concentration K+ 140 mM Na+ 12 mM CI- 152 mM E Na 8 cl Ea With the intracellular and extracellular concentrations given in the table below, calculate the Nernst potentials for each of the ionic species: EK, ENa, and Eci. Extracellular concentration 5 mM 140 mM 145 mM Using the circuit model with Nernst potentials EK, Eña, and Eci and the conductances given above, find the membrane potential Vm at steady-state. Now find the equilibrium resting potential Vm using the Goldman-Hodgkin-Katz equa- tion. Compare the two values of the membrane potential Which value is more reasonable for a typical resting potential of a cell? Hint: Membrane conductance (the reciprocal of membrane resistance) for any ion type is di- rectly proportional to membrane permeability for that ion type. Find the time constant for the membrane potential Vm of the cell to recover from a transient and settle to its steady-state value.
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
Related questions
Question
Transcribed Image Text:Nernst Potentials and Equilibrium Resting Potential: Consider the following simplified
circuit model for a Hodgkin-Huxley neuron at body temperature (37 °C), with membrane conduc-
15 μS/cm², and with membrane
tance densities 9k 20 μS/cm², gNa 5 μS/cm², and gcl
capacitance density Cm = 1 µF/cm².
+
Vm
=
=
8K
+&&
Cm
+ Ек
=
8Na
Ionic Species Intracellular concentration
K+
140 mM
Na+
12 mM
CI-
152 mM
E Na
8 cl
Ea
With the intracellular and extracellular concentrations given in the table below,
calculate the Nernst potentials for each of the ionic species: EK, ENa, and Eci.
Extracellular concentration
5 mM
140 mM
145 mM
Using the circuit model with Nernst potentials EK, Eña, and Eci and the conductances
given above, find the membrane potential Vm at steady-state.
Now find the equilibrium resting potential Vm using the Goldman-Hodgkin-Katz equa-
tion. Compare the two values of the membrane potential
Which value is more
reasonable for a typical resting potential of a cell?
Hint: Membrane conductance (the reciprocal of membrane resistance) for any ion type is di-
rectly proportional to membrane permeability for that ion type.
Find the time constant for the membrane potential Vm of the cell to recover from a
transient and settle to its steady-state value.
AI-Generated Solution
AI-generated content may present inaccurate or offensive content that does not represent bartleby’s views.
Unlock instant AI solutions
Tap the button
to generate a solution
Recommended textbooks for you
Introduction to Chemical Engineering Thermodynami…
Chemical Engineering
ISBN:
9781259696527
Author:
J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:
McGraw-Hill Education
Elementary Principles of Chemical Processes, Bind…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
Introduction to Chemical Engineering Thermodynami…
Chemical Engineering
ISBN:
9781259696527
Author:
J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:
McGraw-Hill Education
Elementary Principles of Chemical Processes, Bind…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
Industrial Plastics: Theory and Applications
Chemical Engineering
ISBN:
9781285061238
Author:
Lokensgard, Erik
Publisher:
Delmar Cengage Learning
Unit Operations of Chemical Engineering
Chemical Engineering
ISBN:
9780072848236
Author:
Warren McCabe, Julian C. Smith, Peter Harriott
Publisher:
McGraw-Hill Companies, The