Author: Robert J. Rosen
Publisher: Academic Press
ISBN: 1483272133
Category : Science
Languages : en
Pages : 316

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Book Description
Foundations of Mathematical Biology, Volume 1, Subcellular Systems, provides an introduction the place of mathematical biology in relation to the other biological, physical, and organizational sciences. It discusses the use of mathematical tools and techniques to solve biological problems. The book contains four chapters and begins with a discussion of the nature of hierarchical control in living matter. This is followed by a chapter on chemical kinetics and enzyme kinetics, covering the physicomathematical principles, models, and approximations underlying transition-state theory and the unimolecular reaction. Subsequent chapters deal with quantum genetics and membrane excitability.

Author: Nicholas F. Britton
Publisher: Springer Science & Business Media
ISBN: 1447100492
Category : Mathematics
Languages : en
Pages : 347

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Book Description
This self-contained introduction to the fast-growing field of Mathematical Biology is written for students with a mathematical background. It sets the subject in a historical context and guides the reader towards questions of current research interest. A broad range of topics is covered including: Population dynamics, Infectious diseases, Population genetics and evolution, Dispersal, Molecular and cellular biology, Pattern formation, and Cancer modelling. Particular attention is paid to situations where the simple assumptions of homogenity made in early models break down and the process of mathematical modelling is seen in action.

Author: R. Rosen
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Book Description

Author: S. I. Rubinow
Publisher: Dover Books on Biology
ISBN: 9780486425320
Category : Mathematics
Languages : en
Pages : 0

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Book Description
Developed from the author's course in mathematical biology at Cornell University, this volume is designed to cultivate in graduate biology students an awareness of and familiarity with applications of mathematical techniques and methods related to biology.This text explores five areas of mathematical biology, which are unified by their underlying mathematical structure. The first three subjects (cell growth, enzymatic reactions, and physiological tracers) are biological; the final two (biological fluid dynamics and diffusion) are biophysical. Introduced in an order of progressive mathematical complexity, the topics essentially follow a course in elementary differential equations, although linear algebra and graph theory are also touched upon.Free of mathematical jargon, the text requires only a knowledge of elementary calculus. A set of problems appears at the end of each chapter, with solutions at the end of the book. In addition to its value to biology students, this text will also prove useful to students with backgrounds in mathematics, physics, and engineering, who possess little knowledge of biology but nevertheless take an interest in the quantitative approach.

Author: Robert J. Rosen
Publisher: Elsevier
ISBN: 1483271846
Category : Science
Languages : en
Pages : 349

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Book Description
Foundations of Mathematical Biology, Volume II: Cellular Systems describes the properties of cellular systems and their relationship to the development of multicellular organisms. This volume is composed of five chapters that present the mathematical tools applied in evaluating these systems. Chapters 1 illustrates the use of continuous time systems to examine the relationship between the properties of individual cells and the general problems of morphogenesis in developing systems, specifically how these properties could manifest themselves in morphological terms. Chapter 2 demonstrates the systems of rate equations or first-order differential equations to deal with the regulation of individual chemical processes and sequences of such processes, at both the genetic and metabolic levels. Chapter 3 discusses the application of the theory of automata to the evaluation of the concept and principles of embryology, while Chapter 4 presents some relational cell models to study the metabolism-repair cellular systems. Chapter 5 looks into the concept and systems of a compartment. This book will prove useful to mathematical and cell biologists and researchers.

Author: Robert Rosen
Publisher:
ISBN:
Category : Biomathematics
Languages : en
Pages :

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Book Description

Author: Robert Rosen
Publisher:
ISBN:
Category : Biomathematics
Languages : en
Pages :

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Book Description

Author: Robert Rosen
Publisher:
ISBN: 9780125972031
Category : Mathematics
Languages : en
Pages : 0

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Book Description

Author: R. ROSEN (ed)
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Book Description
V.1-Subcellular systems; v.2-Cellular systems; v.3-Supercellular systems.

Author: Anthony William Fairbank Edwards
Publisher: Cambridge University Press
ISBN: 9780521775441
Category : Science
Languages : en
Pages : 138

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Book Description
A definitive account of the origins of modern mathematical population genetics, first published in 2000.