Postdoctoral Position in Mathematics of Biological Networks

A theoretical ecologist, a mathematician, and a protein biophysicist
seek a postdoctoral scholar to explore methods of coarse graining
naturally occurring biological networks that preserve dynamics of random
processes on the network. We are particularly interested in analysis
techniques exploiting spectral structures of related linear operators
(such as the adjacency matrix and the graph Laplacian). Examples of such
methods include spectral coarse graining (Gfeller & Los Rios, *Phys. Rev.*
*Lett*. 2007) and communicability (Estrada & Higham, *SIAM Review* 2010).
Sample networks for analysis will be drawn from a variety of biological
settings, including ecological food webs, amino acid residue contact
networks, signal transduction network, and other networks supporting a
Markov chain description of dynamics related to the network's biological
function. Funding is available for two years beginning July 1, 2011,
with the possibility of extending to a third year. The successful
candidate will have a strong interest in theoretical biology and the
application of mathematical ideas to biological problems. A foundation
in graph theory, spectral analysis (linear algebra), or Markov
processes, while not necessary, would be welcomed. The postdoctoral
fellow will be jointly mentored by Prof. Robin Snyder (Biology), Prof.
Peter Thomas (Mathematics) and Prof. Patrick Wintrode (Physiology and
Biophysics), and will have the option of selecting any of these
departments as their primary affiliation in the University. Application
materials, including a cover letter, a statement of research interests,
unofficial graduate transcript, *curriculum vitae* and names and contact
information of three references, should be uploaded to
https://www.mathjobs.org/jobs/jobs/2729 or mailed to Department of
Biology, Case Western Reserve University, DeGrace Hall 205, 10900 Euclid
Avenue, Cleveland, Ohio 44106-7080, attention Prof. R. Snyder.
Applications should be submitted by March 21, 2011 for full
consideration, however applications will be considered until the
position is filled.

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