David F. Anderson
Assistant Professor
Contact:
Department of Mathematics
University of Wisconsin Madison
480 Lincoln Drive,
Madison WI 53706
Email: anderson at math dot wisc dot edu
Phone: (608) 263-4943
Research Interests: Probability theory, Numerical Analysis, and Mathematical/Systems Biology.
Curriculum Vitae (updated June 2009)
Recent Presentations
(with slides)
Publications
- David F. Anderson and Jonathan C. Mattingly, A weak trapezoidal
method for a class of stochastic differential equations, submitted, preprint found at arXiv:0906.3475v1.
- David F. Anderson, Arnab Ganguly, and Thomas G. Kurtz,
Error
Analysis of the tau-leap simulation method for stochastically modeled
chemical reaction systems, in preparation.
- David F. Anderson, Gheorghe Craciun, and Thomas G. Kurtz, Product-form stationary
distributions for deficiency zero chemical reaction networks,
submitted, preprint found at arXiv:0803.3042.
- David F. Anderson and Gheorghe Craciun, Reduced reaction
networks and persistence of chemical systems, in
preparation.
- David F. Anderson and Anne Shiu, Persistence of
deterministic population processes and the Global Attractor Conjecture,
submitted, preprint found at arXiv:0903.0901.
- David F. Anderson, Global asymptotic
stability for a class of nonlinear chemical equations, SIAM
J. Appl. Math, 68(5), pgs. 1464 - 1476, May 2008.
- David F. Anderson, Incorporating
postleap checks in tau-leaping, Journal of Chemical Physics, 128(5),
054103, February 2008.
- David F. Anderson, A modified Next
Reaction Method for simulating chemical systems with time dependent
propensities and delays, Journal of Chemical Physics, 127(21),
214107, December 2007.
- David F. Anderson and Jonathan C. Mattingly,
Propagation of Fluctuations in Biochemical Reaction Systems,
II:
Nonlinear Chains, IET Systems Biology, 1(6), 313 -
325,
November 2007.
- David F. Anderson, Jonathan C. Mattingly, H. Frederik Nijhout,
Michael Reed,
Propagation of Fluctuations in Biochemical Systems, I: Linear
SSC
Networks, Bulletin of Mathematical Biology, 69(6),
1791 - 1813,
August 2007.
- H. Frederik Nijhout, Michael C. Reed, David F. Anderson,
Jonathan
C. Mattingly, S. Jill James, and Cornelia M. Ulrich,
Long-Range Allosteric Interactions between the Folate and Methionine
Cycles Stabilize DNA Methylation Reaction Rate, Epigenetics, 1(2),
81 - 87, April/May 2006.
- David F. Anderson, Stochastic
Perturbations of Biochemical Reaction Systems, PhD Thesis,
2005.