MS Teams
Speaker
Marina Chugunova | Applied Math, University of Waterloo
Title
Application of Markov Chains and Stochastic Differential Equations for the Hodgkin-Huxley Model
Abstract
The Nobel Prize winners of 1963, Alan Hodgkin and Andrew Huxley developed a deterministic mathematical model that describes the electrical dynamics of the excitable neuron membrane. The Hodgkin-Huxley equations, however, do not include recently discovered channel noise, which corresponds to a randomness in the process of opening and closing of ion channels.
In
this
presentation,
we
discuss
methods
that
allow
to
include
stochastic
effect.
These
methods
are
reviewed
in
the
article
"Stochastic
differential
equation
models
for
ion
channel
noise
in
Hodgkin-Huxley
neurons"
by
Joshua
Goldwyn,
Nikita
Imennov,
Michael
Famulare,
and
Eric
Shea-Brown.