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
  1. 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.

  2. 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.

  3. 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.

  4. David F. Anderson and Gheorghe Craciun, Reduced reaction networks and persistence of chemical systems, in preparation.

  5. David F. Anderson and Anne Shiu, Persistence of deterministic population processes and the Global Attractor Conjecture, submitted, preprint found at arXiv:0903.0901.

  6. David F. Anderson, Global asymptotic stability for a class of nonlinear chemical equations, SIAM J. Appl. Math, 68(5), pgs. 1464 - 1476, May 2008.

  7. David F. Anderson, Incorporating postleap checks in tau-leaping, Journal of Chemical Physics, 128(5), 054103, February 2008.

  8. 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.

  9. 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.

  10. 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.

  11. 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.

  12. David F. Anderson, Stochastic Perturbations of Biochemical Reaction Systems, PhD Thesis, 2005.