In this book biological examples of Branching Processes are introduced from molecular and cellular biology as well as from the fields of human evolution and medicine and discussed in the context of the relevant mathematics, providing a useful introduction on how the modelling can be done and for what types of problems branching processes can be useful. As an aid to understanding specific examples, two introductory chapters provide background material in mathematics and biology. This book will interest scientists who work in quantitative modelling of biological systems, particularly probabilists, mathematical biologists, biostatisticians, and cell and molecular biologists and bioinformaticians. The authors of this monograph are a mathematician and a cell biologist who have collaborated in the field of Branching Processes for more than a decade.
From the reviews: MATHEMATICAL REVIEWS "The book is clearly written and provides a basic knowledge of branching processes and molecular biology. The scope of the present volume is unique in that it illustrates a paradigm in which theoretical results are simulated by biological applications and biological processes are illuminated by mathematics. It is an excellent source of information to probabilists, mathematical biologists and bioinformaticians."
"This book is the result ... of a fruitful and long collaboration between a mathematician and a cell biologist. Capturing the best of both worlds, the book provides not only the biology and mathematical background for this topic, but also offers numerous examples which render it accessible to (post-graduate) students and researchers ... . this book can be treated as an excellent textbook for a wide audience varying from students to lecturers." (Irina Ioana Mohorianu, zbMATH 1312.92004, 2015)
"This book treats the theory of several important types of branching processes and demonstrates their usefulness by many interesting and important applications. ... Mathematical theory and biological applications are nicely interwoven. This text will be useful both to mathematicians (including graduate students) interested in relevant applications of stochastic processes in biology, as well as to mathematically oriented biologists working on the above mentioned topics." (R. Bürger, Monatshefte für Mathematik, Vol. 143 (1), 2004)
"This is a significant book on applications of branching processes in biology, and it is highly recommended for those readers who are interested in the application and development of stochastic models, particularly those with interests in cellular and molecular biology." (Charles J. Mode, Siam Review, Vol. 45 (2), 2003)
"This is a book written jointly by a mathematician and a cell biologist, who have collaborated on research in branching processes for more than a decade. In their own words, their monograph is intended for 'mathematicians and statisticians who have had an introduction to stochastic processes but have forgotten much of their college biology, and for biologists who wish to collaborate with mathematicians and statisticians.' They have largely succeeded in achieving their goal. The book can be strongly recommended to all students of branching processes; all libraries should have a copy."-ZENTRALBLATT MATH
"This book treats the theory of several important types of branching processes and demonstrates their usefulness by many interesting and important applications. ... Mathematical theory and biological applications are nicely interwoven. This text will be useful both to mathematicians (including graduate students) interested in relevant applications of stochastic processes in biology, as well as to mathematically oriented biologists working on the above mentioned topics." (R. Bürger, Monatshefte für Mathematik, Vol. 143 (1), 2004)
"This is a significant book on applications of branching processes in biology, and it is highly recommended for those readers who are interested in the application and development of stochastic models, particularly those with interests in cellular and molecular biology." (Charles J. Mode, Siam Review, Vol. 45 (2), 2003)
"This is a book written jointly by a mathematician and a cell biologist, who have collaborated on research in branching processes for more than a decade. In their own words, their monograph is intended for 'mathematicians and statisticians who have had an introduction to stochastic processes but have forgotten much of their college biology, and for biologists who wish to collaborate with mathematicians and statisticians.' They have largely succeeded in achieving their goal. The book can be strongly recommended to all students of branching processes; all libraries should have a copy."-ZENTRALBLATT MATH