Mathematical models can be used to meet many of the challenges
and opportunities offered by modern biology. The description of
biological phenomena requires a range of mathematical theories.
This is the case particularly for the emerging field of systems
biology. Mathematical "Methods in Biology and Neurobiology"
introduces and develops these mathematical structures and methods
in a systematic manner. It studies:
discrete structures and graph theory
stochastic processes
dynamical systems and partial differential equations
optimization and the calculus of variations.
The biological applications range from molecular to evolutionary
and ecological levels, for example:
cellular reaction kinetics and gene regulation
biological pattern formation and chemotaxis
the biophysics and dynamics of neurons
the coding of information in neuronal systems
phylogenetic tree reconstruction
branching processes and population genetics
optimal resource allocation
sexual recombination
the interaction of species.
Written by one of the most experienced and successful authors of
advanced mathematical textbooks, this book stands apart for the
wide range of mathematical tools that are featured. It will be
useful for graduate students and researchers in mathematics and
physics that want a comprehensive overview and a working knowledge
of the mathematical tools that can be applied in biology. It will
also be useful for biologists with some mathematical background
that want to learn more about the mathematical methods available to
deal with biological structures and data."
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