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On-going interdisciplinary projects

Greg and DrewJoshua Puzey, Department of Biology, The College of William and Mary.  The spatial dynamics of mobile elements on genomic patterns of gene expression and gene-transposon proximities.

Richard Hammack, Department of Mathematics, Virginia Commonwealth University. Application of Hill’s diagrammatic method and reduced graph powers to Markov chain models of concerted ion channel gating.

Other collaborators 

Drew LaMar, Department of Biology, The College of William and Mary.  In a recent paper Drew and I explored the effect of correlations between the in and out degrees of random directed networks on the synchronization of identical pulse-coupled oscillators.

Peter KemperDepartment of Computer Science, The College of William and Mary.  Together we are developing exact and approximate iterative numerical solution techniques that leverage Kronecker-structured representations of calcium release site models. 

Sandor Gyorke, The Davis Heart and Lung Research Institute, The Ohio State University Medical Center.  Together we are using mathematical modeling to study normal and pathological calcium signaling in cardiac myocytes, specifically, the role of calsequestrin in the luminal regulation of ryanodine receptors and the dynamics of calcium alternans. 

Eric Sobie, Department of Pharmacology and Systems Therapeutics, Mount Sinai School of Medicine.  Our most recent paper is a theoretical study of spontaneous Ca sparks and Ca homeostasis in permeabilized ventricular myocytes.

M. Saleet Jafri, Department of Bioinformatics and Computational Biology, George Mason University.  Our work together has focused on development, validation, and benchmarking of a population density approach to modeling local control of calcium-induced calcium release in cardiac myocyte (w/ Eric Sobie).

Erich Grotewold, Department of Molecular Genetics and Plant Biotechnology Center, The Ohio State University.  Together we are using mathematical tools to understand how multistable gene regulatory networks may contribute to developmental processes such as cell fate determination, specifically, the formation of unicellular leaf hairs (trichomes) in the model plant Arabidopsis thaliana

Josh Burk, Department of Psychology, The College of William and Mary.  Together we are developing a Wilson-Cowen-type neural populuation activity model of basal ganglia function during execution of a stop signal reaction time task.

Steve Coombes, Department of Mathematics, University of Nottingham.  Our most recent work is a mathematical analysis of sensitization waves in a bidomain fire-diffuse-fire model of intracellular calcium dynamics.

Sean Wilson, Division of Pharmacology, Loma Linda University School of Medicine.  Mathematical modeling of calcium dynamics and homeostasis in pulmonary and renal arterial smooth muscle cells.

Artie Sherman, Laboratory of Biological Modeling, NIDDK, NIH.

Murray Sherman, Department of Neurobiology, University of Chicago.

John Rinzel, Center for Neural Science and Courant Institute for Mathematical Sciences, New York University

Lee Cox, Beckman Institute, University of Illinois at Urbana-Champaign

Bridget Wilson, Department of  Pathology, University of New Mexico Cancer Center.