Past Probability Seminars Spring 2020: Difference between revisions
| Line 27: | Line 27: | ||
== Thursday, February 6, [http://people.mbi.ohio-state.edu/newby.23/ Jay Newby], [http://mbi.osu.edu/ Mathematical Biosciences Institute] == | == Thursday, February 6, [http://people.mbi.ohio-state.edu/newby.23/ Jay Newby], [http://mbi.osu.edu/ Mathematical Biosciences Institute] == | ||
Title: | Title: Applications of large deviation theory in neuroscience | ||
Abstract: | Abstract: | ||
The membrane voltage of a neuron is modeled with a piecewise deterministic stochastic process. The membrane voltage changes deterministically while the population of open ion channels, which allow current to flow across the membrane, is constant. Ion channels open and close randomly, and the transition rates depend on voltage, making the process nonlinear. In the limit of infinite transition rates, the process becomes deterministic. The deterministic process is the well known Morris-Lecar model. Under certain conditions, the deterministic process has one stable fixed point and is excitable. An excitable event, called an action potential, is a single large transient spike in voltage that eventually returns to the stable steady state. I will discuss recent development of large deviation theory to study noise induced action potentials. | |||
== Thursday, February 13, [http://www.math.wisc.edu/~holcomb/ Diane Holcomb], [http://www.math.wisc.edu/ UW-Madison] == | == Thursday, February 13, [http://www.math.wisc.edu/~holcomb/ Diane Holcomb], [http://www.math.wisc.edu/ UW-Madison] == | ||
Revision as of 20:00, 31 January 2014
Spring 2014
Thursdays in 901 Van Vleck Hall at 2:25 PM, unless otherwise noted.
Visit this page to sign up for the email list to receive seminar announcements.
Thursday, January 23, CANCELED--NO SEMINAR
Thursday, February 6, Jay Newby, Mathematical Biosciences Institute
Title: Applications of large deviation theory in neuroscience
Abstract: The membrane voltage of a neuron is modeled with a piecewise deterministic stochastic process. The membrane voltage changes deterministically while the population of open ion channels, which allow current to flow across the membrane, is constant. Ion channels open and close randomly, and the transition rates depend on voltage, making the process nonlinear. In the limit of infinite transition rates, the process becomes deterministic. The deterministic process is the well known Morris-Lecar model. Under certain conditions, the deterministic process has one stable fixed point and is excitable. An excitable event, called an action potential, is a single large transient spike in voltage that eventually returns to the stable steady state. I will discuss recent development of large deviation theory to study noise induced action potentials.
Thursday, February 13, Diane Holcomb, UW-Madison
Title: TBA
Abstract: TBA
Thursday, February 20, TBA
Thursday, February 27, Jack Hanson, Indiana University Bloomington
Title: TBA
Abstract: TBA
Thursday, March 6, TBA
Thursday, March 13, TBA
Thursday, March 20, No Seminar due to Spring Break
Thursday, March 27, Cécile Ané, UW-Madison Department of Statistics
Title: Application of a birth-death process to model gene gains and losses on a phylogenetic tree
Thursday, April 3, TBA
Thursday, April 10, Dan Romik UC-Davis
Thursday, April 17, TBA
Thursday, April 24, TBA
Thursday, May 1, TBA
Thursday, May 8, TBA