Department of Mathematical Sciences
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Equilibrium analysis for an epidemic model with a reservoir for infection
(2018-12-02)We consider a system of non-linear differential equations describing the spread of an epidemic in two interacting populations. The model assumes that the epidemic spreads within the first population, which in turn acts as ... -
Smoothing Splines of Apex Predator Movement: Functional Modeling Strategies for Exploring Animal Behavior and Social Interactions
(2021-12-09)The collection of animal position data via GPS tracking devices has increased in quality and usage in recent years. Animal position and movement, although measured discretely, follows the same principles of kinematic motion, ... -
Modeling the bidirectional glutamine/ ammonium conversion between cancer cells and cancer-associated fibroblasts
(2021-01-13)Like in an ecosystem, cancer and other cells residing in the tumor microenvironment engage in various modes of interactions to buffer the negative effects of environmental changes. One such change is the consumption of ... -
Scaling behavior of drug transport and absorption in in silico cerebral capillary networks
(2018-07-10)Drug delivery to the brain is challenging due to the presence of the blood-brain barrier. Mathematical modeling and simulation are essential tools for the deeper understanding of transport processes in the blood, across ...
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