John Nardini, Department of Applied Mathematics, 91ÃÛÌÒ¸ó 91ÃÛÌÒ¸ó
Biochemical activity-structured population 91ÃÛÌÒ¸ó
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Structured partial differential equation 91ÃÛÌÒ¸ó are widespread in math biology.Ìý For age- and size-Ìýstructuring,Ìýthese features tend to increase over time. We extend previous results from these two types of structures to investigate a scenario where the added structural dimension may also decrease over time. This is particularly applicable to cell populations with internal biochemical signaling cascades that can activate and deactivate over time in response to the cell population's environment. We apply our results to the well-studied Fisher's Equation and investigate how an added biochemical activity structure can influence traveling wave solutions.
