| 11.1 |
Single-Channel Gating and a Two-State Model |
| 11.1.1 |
Modeling Channel Gating as a Markov Process |
| 11.1.2 |
The Transition Probability Matrix |
| 11.1.3 |
Dwell Times |
| 11.1.4 |
Monte Carlo Simulation |
| 11.1.5 |
Simulating Multiple Independent Channels |
| 11.1.6 |
Gillespie's Method |
| 11.2 |
An Ensemble of Two-State Ion Channels |
| 11.2.1 |
Probability of Finding N Channels in the Open State |
| 11.2.2 |
The Average Number of Open Channels |
| 11.2.3 |
The Variance of the Number of Open Channels |
| 11.3 |
Fluctuations in Macroscopic Currents |
| 11.4 |
Modeling Fluctuations in Macroscopic Currents with Stochastic ODEs |
| 11.4.1 |
Langevin Equation for and Ensemble of Two-State Channels |
| 11.4.2 |
Fokker-Planck Equation for an Ensemble of Two-State Channels |
| 11.5 |
Membrane Voltage Fluctuations |
| 11.5.1 |
Membrane Voltage Fluctuations with an Ensemble of Two-State Channels |
| 11.6 |
Stochasticity and Discreteness in and Excitable Membrane Model |
| 11.6.1 |
Phenomena Induced by Stochasticity and Discreteness |
| 11.6.2 |
The Ensemble Density Approach Applied to the Stochastic Morris-Lecar
Model |
| 11.6.3 |
Langevin Formulation for the Stochastic Morris-Lecar Model |
| 11.7 |
Exercises |
