Simulation of action potential generation with Hodgkin–Huxley model of active neuronal membrane.
"The activity patterns of neurons result from complex dynamic interactions between many neurons, or compartments of individual neurons in the nervous system. Neural models try to capture the fundamental properties of such dynamical processes and, making them accessible for mathematical analysis and computer simulation. This course treats the basic biophysics of the signal generation and transmission in neurons and discusses how the underlying physical and physiological phenomena can be approximated by mathematical models. Typically, such models can be characterized as nonlinear dynamical systems. The course provides a systematic introduction in the mathematical theory of linear and nonlinear dynamical systems, and demonstrates how these mathematical methods can be applied to analyze fundamental properties of neurons and neural networks. This framework provides a deeper understanding of fundamental phenomena neural structures, such as passive and active signal propagation, active pattern formation and decision, and basic properties of oscillations and synchronization in neural systems." [Prof. Dr. Giese, Martin A.]
Simulation of multi compartment model of passive neurite
Simulation of multi compartment Hodgkin-Huxley (HH) model of active neurite
Linear Neural Field Defined Over the Infinite Spatial Domain
Nonlinear Neural Field of Amari Type
