This is a seminar to encourage mathematical research that helps us understand biology.
When: Spring Semester, 2013, 11:00 am - 12:00 pm, Thursdays
Where: 114 McAllister Hall
Organizing Contact: Minxin Chen
Participating Faculty: Andrew Belmonte, John Fricks, Chun Liu, Tim Reluga.
Mailing List: L-PSU-MABPS@lists.psu.edu
(to subscribe, send an email to L-PSU-MABPS-subscribe-request@lists.psu.edu)
Speaker: Ephraim M. Hanks Ephraim Hanks, Penn State University
Title: Random Walks, Circuits, and Spatial Statistical Models for Gene Flow in Heterogeneous Landscapes
Abstract: Genetic data collected over space are commonly used to study how landscape features such as mountains, rivers, and roads affect connectivity in animal species. One approach correlates observed genetic distance with the circuit-theoretic resistance distance of a graph representation of the landscape. We examine links between this circuit modeling approach and random walk models for gene flow in heterogeneous environments. We show that a Gaussian Markov random field model can be constructed which matches the spatial structure implied by circuits and by the equilibrium state of a random walk model. This provides a spatial statistical model with links to a spatio-temporal data generating process.
Related Seminars:
- CIDD seminar series
- Network science lunch seminar (page is out-of-date, but seminar still goes on. See L-NETSCI-PSU@LISTS.PSU.EDU)
- The Center for Neural Engineering (l-cne-subscribe-request@lists.psu.edu)
- The Biology seminars.
- The Weekly Anthropology colloquia.
- QuaSSI, the Quantitative Social Science Initiative.
- Hacking Science at Penn State.