Analysis of a 2D neuron model: Constant input

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Neuron Models: Type I and Type II

Explores two-dimensional neuron models, Type I and Type II, discussing firing thresholds and Hopf bifurcation.

Phase Plane Analysis

Covers the Phase Plane Analysis of 2-dimensional neuron models, focusing on nullclines and fixed points.

Bistability in Genetic Networks

Explores bistability in genetic networks, analyzing fixed points and stability, phase portraits, and experimental implementation.

MathDetour 1: Separation of time scales

Explores the concept of separation of time scales in computational neuroscience and the reduction of detail in two-dimensional neuron models.

Reduction to 2 dimensions: Exploiting similarities

Explores reducing the Hodgkin-Huxley model to 2 dimensions by exploiting similarities between variables and discussing the nonlinear integrate-and-fire model.

Bistability in Cell Cycle

Explores bistability in the cell cycle, emphasizing positive feedback mechanisms and abrupt response transformations.

Reduction of Hodgkin-Huxley to 2D

Explores reducing the Hodgkin-Huxley model to a two-dimensional neuron model.

Scientific Computing in Neuroscience

Explores the history and tools of scientific computing in neuroscience, emphasizing the simulation of neurons and networks.

Computational Neuroscience: Biophysics & Modeling

Covers the fundamentals of computational neuroscience, focusing on biophysics and modeling.

Biophysical Understanding of Neuronal Behavior

Explores the biophysical understanding of neuronal behavior, focusing on action potentials, neuron modeling challenges, and dendritic inhibition.