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 2
Publications
GraTeLPy: A graphtheoretic linear stability analysis tool, with Georg Walther and Matthew Hartley, (submitted)
Network representations and methods for the analysis of chemical and biochemical pathways,
With Conner Sandafur and Santiago Schnell, Mol. BioSys. 9, 21892200, 2013.
Graphtheoretic conditions for zeroeigenvalue Turing instability in general chemical reaction networks, with
Gheorghe
Craciun, Math. Biosci. Eng. 10, 12071226, 2013.
TuringHopf instability in biochemical reaction networks, with Marc Roussel, Math. Biosciences
240, 111, 2012.
Oscillations in nonmass action kinetics models of biochemical reaction networks arising from
pairs of subnetworks, J. Math. Chem. 50, 11111125, 2012.
Oscillations in biochemical reaction networks arising from pairs of subnetworks, Bull. Math.
Biol. 73, 22772304, 2011.
Multigraph conditions for multistability, oscillations and pattern formation in biochemical
reaction networks, with Gheorghe Craciun, Proc. IEEE 96, 12811291, 2008.
Graphtheoretic 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, 6186, 2007.
Graphtheoretic methods for the analysis of chemical
and biochemical networks. II. Oscillations in networks with delays,
with Marc Roussel, J. Math. Biol. 55, 87104, 2007.
Nonnegativity and positiveness of solutions to mass
action reactiondiffusion systems, with David Siegel, J. Math. Chem., 42, 11351145, 2007.
A graphtheoretic method for detecting potential Turing bifurcations,
with Marc Roussel, J. Chem. Phys. 125 (20): Art. No. 204102, 2006.
Stability of mass action reactiondiffusion systems,
with David Siegel, Nonl. Anal., 56(8), 11051131, 2004.
Comparison principles for reactiondiffusion systems with
respect to proper polyhedral cones, with David Siegel, Dyn.
Cont. Discr. Imp. Systems, 10(13), 477490, 2003.
Math Websites
American Mathematical Society
Society of Industrial and Applied Mathematics
Society for Mathematical Biology
