Membrane Circuit Model

Cell Physiology · Part 1

236 KB10 sections4 key equationsLaTeX typeset

Table of Contents

  1. 1.Thévenin Equivalent Circuit Derivation
  2. 2.Complete Circuit Theory
  3. 3.Simulation Code
  4. 4.Video Lectures
  5. 5.Key Circuit Insights
  6. 6.Learning Objectives
  7. 7.References & Further Reading
  8. 8.Step-by-Step Derivation
  9. 9.Numerical Example: Resting Neuron
  10. 10.Circuit Schematic Representations

Key Equations

$$I_{\text{Na}} + I_{\text{K}} + I_{\text{Cl}} + I_{\text{Leak}} + I_{\text{pump}} = 0$$
$$V_m \cdot \sum_i g_i = \sum_i g_i E_i - I_{\text{pump}}$$
$$I_{\text{ion}} = g_{\text{ion}} \cdot (V_m - E_{\text{ion}})$$
$$I_c = C_m \frac{dV_m}{dt}$$

Equations are rendered with MathJax in the PDF with professional LaTeX typesetting.

Course Context

This PDF is part of the Cell Physiology course on CoursesHub.World. Understand cellular function from membrane transport to calcium signaling. Covers cell membrane biophysics, energetics, signal transduction, muscle physiology, neurophysiology, epithelial transport, c...