Abstract by Joshua Rasband

Personal Infomation

Presenter's Name

Joshua Rasband

Degree Level


Abstract Infomation


Physics and Astronomy

Faculty Advisor

Mark Transtrum


Exploring the Behavior Space of the Hodgkin-Huxley Model


The Hodgkin Huxley model is a set of nonlinear, ordinary differential
equations that describes electrical signals in neurons. The equations
include twenty-five parameters that correspond to physical attributes
of the neuron, such as threshold voltage for a sodium channel or
conductance of potassium ions. The value of these parameters may vary
depending on physical or chemical conditions, such as the structure of
an ion channel or the concentration of an ion. Neurons can exhibit a
wide range of behaviors depending on the parameters’ values. We
consider the problem of exploring the behavior space of the
Hodgkin-Huxley model for different parameter values. As a first step,
we used model reduction techniques to remove irrelevant parameters,
parameters whose variation has little effect on behavior. We then ask
whether the reduced models can accurately mimic behaviors exhibited by
the full model. In this way, we begin to map out the behavior space
accessible by real neurons.