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Getting Started in Mathematical Life Sciences - From MATLAB Programming to Computer Simulations (Hardcover, 1st ed. 2022)
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Getting Started in Mathematical Life Sciences - From MATLAB Programming to Computer Simulations (Hardcover, 1st ed. 2022)
Series: Theoretical Biology
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This book helps the reader make use of the mathematical models of
biological phenomena starting from the basics of programming and
computer simulation. Computer simulations based on a mathematical
model enable us to find a novel biological mechanism and predict an
unknown biological phenomenon. Mathematical biology could further
expand the progress of modern life sciences. Although many
biologists are interested in mathematical biology, they do not have
experience in mathematics and computer science. An educational
course that combines biology, mathematics, and computer science is
very rare to date. Published books for mathematical biology usually
explain the theories of established mathematical models, but they
do not provide a practical explanation for how to solve the
differential equations included in the models, or to establish such
a model that fits with a phenomenon of interest. MATLAB is an ideal
programming platform for the beginners of computer science. This
book starts from the very basics about how to write a programming
code for MATLAB (or Octave), explains how to solve ordinary and
partial differential equations, and how to apply mathematical
models to various biological phenomena such as diabetes, infectious
diseases, and heartbeats. Some of them are original models, newly
developed for this book. Because MATLAB codes are embedded and
explained throughout the book, it will be easy to catch up with the
text. In the final chapter, the book focuses on the mathematical
model of the proneural wave, a phenomenon that guarantees the
sequential differentiation of neurons in the brain. This model was
published as a paper from the author's lab (Sato et al., PNAS 113,
E5153, 2016), and was intensively explained in the book chapter
"Notch Signaling in Embryology and Cancer", published by Springer
in 2020. This book provides the reader who has a biological
background with invaluable opportunities to learn and practice
mathematical biology.
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