This book presents a concise introduction to piecewise deterministic Markov processes (PDMPs)
with particular emphasis on their applications to biological models. Further it presents
examples of biological phenomena such as gene activity and population growth where different
types of PDMPs appear: continuous time Markov chains deterministic processes with jumps
processes with switching dynamics and point processes. Subsequent chapters present the
necessary tools from the theory of stochastic processes and semigroups of linear operators as
well as theoretical results concerning the long-time behaviour of stochastic semigroups induced
by PDMPs and their applications to biological models. As such the book offers a valuable
resource for mathematicians and biologists alike. The first group will find new biological
models that lead to interesting and often new mathematical questions while the second can
observe how to include seemingly disparate biological processes into a unified mathematical
theory and to arrive at revealing biological conclusions. The target audience primarily
comprises of researchers in these two fields but the book will also benefit graduate students.
