Modelling theory and background

This section of the documentation is intended to provide the background - both biological and mathematical - to the Hodgkin-Huxley model. This model and its derivatives are used in the Tutorials to demonstrate the most common operations of libCellML.

• A model of ion channel gating and current
  • Chemical theory and entropy
  • Electrical theory
  • Mathematical modelling
  • Simulation and results
  • Next steps
• A model of a potassium channel
  • Theory
  • Interpretation into a CellML model
  • An aside: Equivalent variables
  • Simulation and results
  • Next steps
• A model of a sodium channel
  • Theory
  • Interpretation as a CellML model
  • Simulation and results
  • Notable results
  • Next steps
• The Hodgkin-Huxley model of nerve action potential
  • Theory: The cable equation
  • Theory: Action potentials
  • Interpretation as a CellML model
  • Simulation and results

• Solution methods for sets of Ordinary Differential Equations
  • Modelling situation: Swimming with sharks
  • Classification of variables
  • Defining the initial values
  • Specification of states and rates