Education
PhD in Applied Mathematics, University of Waterloo, Canada, 2003
Research Interests
Mathematical Biology
Teaching
Math 336 Ordinary Differential Equations
Syllabus for Section 1
Math 360 Model Building
Syllabus for Section 1
Publications
Graph-theoretic conditions for zero-eigenvalue Turing instability in general chemical reaction networks, with Gheorghe
Craciun, (submitted)
Turing-Hopf instability in biochemical reaction networks, with Marc Roussel, Math. Biosciences
240, 1-11, 2012.
Oscillations in non-mass action kinetics models of biochemical reaction networks arising from
pairs of subnetworks, J. Math. Chem. 50, 1111-1125, 2012.
Oscillations in biochemical reaction networks arising from pairs of subnetworks, Bull. Math.
Biol. 73, 2277-2304, 2011.
Multigraph conditions for multistability, oscillations and pattern formation in biochemical
reaction networks, with Gheorghe Craciun, Proc. IEEE 96, 1281-1291, 2008.
Graph-theoretic methods for the analysis of chemical
and biochemical networks. I. Multistability and oscillations
in ordinary differential equation models, with Marc Roussel, J. Math. Biol. 55, 61-86, 2007.
Graph-theoretic methods for the analysis of chemical
and biochemical networks. II. Oscillations in networks with delays,
with Marc Roussel, J. Math. Biol. 55, 87-104, 2007.
Nonnegativity and positiveness of solutions to mass
action reaction-diffusion systems, with David Siegel, J. Math. Chem., 42, 1135-1145, 2007.
A graph-theoretic method for detecting potential Turing bifurcations,
with Marc Roussel, J. Chem. Phys. 125 (20): Art. No. 204102, 2006.
Stability of mass action reaction-diffusion systems,
with David Siegel, Nonl. Anal., 56(8), 1105-1131, 2004.
Comparison principles for reaction-diffusion systems with
respect to proper polyhedral cones, with David Siegel, Dyn.
Cont. Discr. Imp. Systems, 10(1-3), 477-490, 2003.
Math Websites
American Mathematical Society
Society of Industrial and Applied Mathematics
Society for Mathematical Biology
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