David Anderson

David Anderson

David Anderson

Discovery Fellow, Assistant Professor, Mathematics, Systems Biology

Years Active

2014-present

Education

  • B.A., University of Virginia
  • M.A., Mathematics, Duke University
  • Ph.D., Mathematics, Duke University

Research Description

There are two distinct branches to David Anderson’s research. First, he develops and analyzes new computational methods for the stochastic models that arise in the biosciences, especially cell biology. Anderson is currently most interested in solving for either expected values or their derivatives with respect to system parameters in the most efficient manner possible. Second, he studies how the underlying network structure of biochemical systems relate to their qualitative system dynamics (for both deterministically and stochastically modeled systems). He is particularly interested in discovering properties that are independent of the choice of rate constants, which are oftentimes difficult or impossible to know with precision.

Affiliations

Department of Statistics, University of Wisconsin–Madison

Selected Publications

  • David F. Anderson, An efficient finite difference method for parameter sensitivities of continuous time Markov chains, SIAM Journal on Numerical Analysis, Vol. 50, No. 5, 2237 – 2258, 2012.
  • David F. Anderson and Desmond J. Higham, Multi-level Monte Carlo for stochastically modeled chemical kinetic systems, SIAM: Multiscale Modeling and Simulation, Vol. 10, No. 1, 146 – 179, 2012.
  • David F. Anderson, A proof of the Global Attractor Conjecture in the single linkage class case, SIAM J. Appl. Math., 71(4), 2011.
  • David F. Anderson and Thomas G. Kurtz, Continuous time Markov chain models for chemical reaction networks, chapter in Design and Analysis of Biomolecular Circuits: Engineering Approaches to Systems and Synthetic Biology, H. Koeppl et al. (eds.), Springer, 2011.
  • David F. Anderson, Arnab Ganguly, and Thomas G. Kurtz, Error Analysis of the tau-leap simulation method for stochastically modeled chemical reaction systems, Annals of Applied Probability, Vol. 21, No. 6, 2226 – 2262, 2011.
  • David F. Anderson, Gheorghe Craciun, and Thomas G. Kurtz, Product-form stationary distributions for deficiency zero chemical reaction networks, Bulletin of Mathematical Biology, 72, 1947 – 1970, 2010.
  • David F. Anderson, Global asymptotic stability for a class of nonlinear chemical equations, Siam J. Appl. Math., 68(5), 1464 – 1476, May 2008.
  • David F. Anderson, A modified Next Reaction Method for simulating systems with time varying rate constants and systems with delays, Journal of Chemical Physics, 127(21), 214107, Dec. 2007.