Models of neural systems

The lecture introduces models of neurons of different complexity from the detailed Hodgkin-Huxley models for action potential generation via
integrate-and-fire models to simple firing rate models. Based on these
specific examples basic concepts of differential equations, linear system theory, dynamical systems theory and stochastic systems are introduced. These tools are essential for modelling neural systems and other complex systems like, for example, signaling cascades and population dynamics.
Central to the module are the exercises that match the topics from the
lecture and repeat the necessary math basics.