- Title Pages
- Dedication
- Preface
- Acknowledgments
- I.1 Fundamentals of Electricity
- I.2 Patch-Clamp Recording
- I.3 Physical Basis for the Resting Potential
- I.4 Basis of the Nerve Impulse
- I.5 Properties of Neurons
- I.6 Electrophysiology of Neuronal Interactions
- I.7 Neuronal Oscillators
- SECTION II DESCRIPTION OF THE MODELS
- II.1 Electricity Model
- II.2 Patch Model
- II.3 Soma Model
- II.4 Axon Models
- II.5 Neuron Model
- II.6 Synapse Model
- II.7 Circuit Model
- II.8 Stimulator Control
- SECTION III EQUATIONS UNDERLYING NEURODYNAMIX II SIMULATIONS
- III.1 Equations Underlying the Electricity Model
- III.2 Equations Underlying the Patch Model
- III.3 Equations Underlying the Soma Model
- III.4 Equations Underlying the Axon Models
- III.5 Equations Underlying the Neuron Model
- III.6 Equations Underlying the Synapse Model
- III.7 Equations Underlying the Circuit Model
- IV.1 Form of the Equations
- IV.2 Numerical Solution
- Guide to <i>NeuroDynamix II</i> Software
- Bibliography
- Index
Form of the Equations
Form of the Equations
- Chapter:
- (p.213) IV.1 Form of the Equations
- Source:
- NeuroDynamix II
- Author(s):
W. Otto Friesen
Jonathon A. Friesen
- Publisher:
- Oxford University Press
This section describes the methods for numerical integration of the differential equations that underlie all of the dynamic models embodied in NeuroDynamix II. This chapter presents the general form of the differential equations, which, because simulations are all based on the Hodgkin-Huxley-Katz parallel conductance model, have a common form.
Keywords: differential equation, current, conductance
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- Title Pages
- Dedication
- Preface
- Acknowledgments
- I.1 Fundamentals of Electricity
- I.2 Patch-Clamp Recording
- I.3 Physical Basis for the Resting Potential
- I.4 Basis of the Nerve Impulse
- I.5 Properties of Neurons
- I.6 Electrophysiology of Neuronal Interactions
- I.7 Neuronal Oscillators
- SECTION II DESCRIPTION OF THE MODELS
- II.1 Electricity Model
- II.2 Patch Model
- II.3 Soma Model
- II.4 Axon Models
- II.5 Neuron Model
- II.6 Synapse Model
- II.7 Circuit Model
- II.8 Stimulator Control
- SECTION III EQUATIONS UNDERLYING NEURODYNAMIX II SIMULATIONS
- III.1 Equations Underlying the Electricity Model
- III.2 Equations Underlying the Patch Model
- III.3 Equations Underlying the Soma Model
- III.4 Equations Underlying the Axon Models
- III.5 Equations Underlying the Neuron Model
- III.6 Equations Underlying the Synapse Model
- III.7 Equations Underlying the Circuit Model
- IV.1 Form of the Equations
- IV.2 Numerical Solution
- Guide to <i>NeuroDynamix II</i> Software
- Bibliography
- Index
