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Johnston received his Bachelor or Arts and Master of Science in Mathematics from the University of Guelph (2006) and his Ph.D. in Applied Mathematics from the University of Waterloo (2011). Before joining the faculty at LTU, he was a Van Vleck Visiting Assistant Professor at the University of Wisconsin-Madison (2012-15) and a tenure-track assistant professor at San Jose State University (2015-19).
His current research focuses on model analysis of biochemical reaction networks such as signal processing pathways and gene regulatory networks. These models have provided significant insight recently into the biochemical mechanisms underlying circadian rhythms, the cell cycle, and homeostasis, and have also contributed to understanding diseases such as cancer and diabetes.
A recurring feature in this research is clarifying the connection between the topology of the network of interactions and the corresponding dynamical behaviors, using both the deterministic (ODE) and stochastic (CTMC) modeling frameworks.
Matthew D. Johnston, Bruce Pell, and David A. Rubel, A two-strain model of infectious disease spread with asymmetric temporary immunity periods and partial cross-immunity. Math. Biosci. Eng., 20(9):16083-16113 https://doi.org/10.3934/mbe.2023718, 2023
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