
Branching Processes in Biology by Marek Kimmel
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. This provides a useful introduction to how the modelling can be done and for what types of problems branching processes can be useful.-
Mathematical Biology
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Mathematical Physiology
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Computational Cell Biology
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Mathematical Biology II
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Mathematical Foundations of Neuroscience
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Data-driven Modelling and Scientific Machine Learning in Continuum Physics
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Mathematics of Epidemics on Networks
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Mathematical Oncology
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Mathematical Modeling of Unsteady Inviscid Flows
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Singularities in Elliptic Boundary Value Problems and Elasticity and Their Connection with Failure Initiation
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Mathematical Geoscience
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Mathematics of Multidimensional Seismic Imaging, Migration, and Inversion
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Homogenization and Porous Media
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Geometric Optimal Control
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Modeling in Biopharmaceutics, Pharmacokinetics and Pharmacodynamics
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Stereology
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Geometric Design of Linkages
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Models of Calcium Signalling
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Killer Cell Dynamics
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Estimation and Control of Dynamical Systems
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Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics
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The Mathematics Behind Biological Invasions
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Systems with Persistent Memory
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Morphological Models of Random Structures
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The Mathematics and Mechanics of Biological Growth
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Nonlinear Systems
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Optimal Control for Mathematical Models of Cancer Therapies
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Quantum Dynamics with Trajectories
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Practical Bifurcation and Stability Analysis
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Transport Modeling in Hydrogeochemical Systems
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Age Structured Epidemic Modeling
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Heterogeneous Materials
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The Geometry of Biological Time
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Uncertainty Quantification
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Nonlinear Dynamics in Physiology and Medicine
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Chaotic Transport in Dynamical Systems
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Mathematical Population Genetics 1
From the reviews:
MATHEMATICAL REVIEWS
"The book is clearly written and provides a basic knowledge of branching processes and molecular biologyThe 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."
M. Kimmel and D.E. Axelrod
Branching Processes in Biology
"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 incellular and molecular biology." (Charles J. Mode, Siam Review, Vol. 45 (2), 2003)
"Branching processes have made important contributions to biology and medicine in the areas of molecular biology, cell biology, developmental biology, immunology, evolution and ecology. … 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." (P.R. Parthasarathy, Mathematical Reviews, 2003 b)
"The theory of branching processes is an intensively developing area of mathematics, particularly stochastic processes, with many important applications in biology, medicine, physics and other natural sciences. This book contains … many examples of very interesting and successful applications of branching processes to biological and medical problems … . The book will be very interesting and useful for mathematicians, statisticians and biologists as well, and especially for researchers developing mathematical methods in biology, medicine and other natural sciences." (V.V. Anisimov, Short Book Reviews, Vol. 23 (2), 2003)
"Study of branching processes emerged from … mathematical analysis of the problem of extinction of the surnames of the British upper class. This area of stochastic processes continues to evolve and provides useful models of a large variety of far more significant biological processes. … This book is clearly a very useful compendium of work in this area, an area in which the authors have published extensively. Any mathematician contemplating work in this field would benefit from having the book on his or her shelf." (David Kault, The Australian Mathematical Society Gazette, Vol. 30 (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. … their monograph is intended for ‘mathematicians and statisticians who have had an introduction to stochastic processes … 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 of it." (Joseph M. Gani, Zentralblatt Math, Vol. 994 (19), 2002)
| SKU | Unavailable |
| ISBN 13 | 9781441929587 |
| ISBN 10 | 1441929584 |
| Title | Branching Processes in Biology |
| Author | Marek Kimmel |
| Series | Interdisciplinary Applied Mathematics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer-Verlag New York Inc. |
| Year published | 2010-12-01 |
| Number of pages | 232 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |




































