by Hong Qian, Hao Ge
ISBNs: 3030862518, 9783030862510, 978-3030862510
English | 2021 | PDF | 18 MB | 364 Pages
This book provides an introduction to the
analysis of stochastic dynamic models in biology and medicine. The main
aim is to offer a coherent set of probabilistic techniques and
mathematical tools which can be used for the simulation and analysis of
various biological phenomena. These tools are illustrated on a number
of examples. For each example, the biological background is described,
and mathematical models are developed following a unified set of
principles. These models are then analyzed and, finally, the biological
implications of the mathematical results are interpreted. The
biological topics covered include gene expression, biochemistry,
cellular regulation, and cancer biology. The book will be accessible to
graduate students who have a strong background in differential
equations, the theory of nonlinear dynamical systems, Markovian
stochastic processes, and both discrete and continuous state spaces,
and who are familiar with the basic concepts of probability theory.
