Basic mathematical techniques for partial differential equations
(PDE) with applications to the life sciences form an integral part
of the core curriculum for programs in mathematical biology. Yet,
students in such a program with an undergraduate training in
biology are typically deficient in any exposure to PDE. This volume
starts with simple first order PDE and progresses through higher
order equations and systems but with interesting applications, even
at the level of a single first order PDE with constant
coefficients.Similar to the two previous volumes by the author,
another unique feature of the book is highlighting the scientific
theme(s) of interest for the biological phenomena being modelled
and analysed. In addition to temporal evolution of a biological
phenomenon, its limiting equilibrium states and their stability,
the possibility of locational variations leads to a study of
additional themes such as (signal and wave) propagation, spatial
patterning and robustness. The requirement that biological
developments are relatively insensitive to sustained environmental
changes provides an opportunity to examine the issue of feedback
and robustness not encountered in the previous two volumes of this
series.
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