Abstract by Joshua Rasband
Physics and Astronomy
Mapping the Behavior Space of the Hodgkin-Huxley Model
The Hodgkin-Huxley model is a set of differential equations that describe electrical signals in neurons. In its simplest form, the model has twenty-five parameters, corresponding to physical properties such as membrane capacitance or ion conductances. The values of these parameters vary depending on physical or chemical conditions. Neurons exhibit a variety of behaviors depending on the parameter values. We explore the behavior space of the Hodgkin-Huxley model. We used model reduction techniques to remove irrelevant parameters, i.e., those that are unnecessary to explain a behavior. We now ask whether the reduced models can accurately mimic behaviors exhibited by the full model. We find that different neural behaviors are explained by different reduced models. By collecting these simplified models, we begin to map out the behavior space accessible by real neurons.