mathematical biology biomathematics

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Mathematical Biology Ii

Author : James D. Murray
ISBN : 9780387952284
Genre : Mathematics
File Size : 25. 97 MB
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This richly illustrated third edition provides a thorough training in practical mathematical biology and shows how exciting mathematical challenges can arise from a genuinely interdisciplinary involvement with the biosciences. It has been extensively updated and extended to cover much of the growth of mathematical biology. From the reviews: ""This book, a classical text in mathematical biology, cleverly combines mathematical tools with subject area sciences."--SHORT BOOK REVIEWS

Essential Mathematical Biology

Author : Nicholas F. Britton
ISBN : 9781447100492
Genre : Mathematics
File Size : 56. 20 MB
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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.

Biomathematics

Author : S. Andersson
ISBN : 0080528074
Genre : Mathematics
File Size : 38. 34 MB
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This book presents new mathematics for the description of structure and dynamics in molecular and cellular biology. On an exponential scale it is possible to combine functions describing inner organisation, including finite periodicity, with functions for outside morphology into a complete definition of structure. This mathematics is particularly fruitful to apply at molecular and atomic distances. The structure descriptions can then be related to atomic and molecular forces and provide information on structural mechanisms. The calculations have been focussed on lipid membranes forming the surface layers of cell organelles. Calculated surfaces represent the mid-surface of the lipid bilayer. Membrane dynamics such as vesicle transport are described in this new language. Periodic membrane assemblies exhibit conformations based on the standing wave oscillations of the bilayer, considered to reflect the true dynamic nature of periodic membrane structures. As an illustration the structure of an endoplasmatic reticulum has been calculated. The transformation of such cell membrane assemblies into cubosomes seems to reflect a transition into vegetative states. The organisation of the lipid bilayer of nerve cells is analyzed, taking into account an earlier observed lipid bilayer phase transition associated with the depolarisation of the membrane. Evidence is given for a new structure of the alveolar surface, relating the mathematical surface defining the bilayer organisation to new experimental data. The surface layer is proposed to consist of a coherent phase, consisting of a lipid-protein bilayer curved according to a classical surface - the CLP surface. Without employing this new mathematics it would not be possible to give an analytical description of this structure and its deformation during the respiration cycle. In more general terms this mathematics is applied to the description of the structure and dynamic properties of motor proteins, cytoskeleton proteins, and RNA/DNA. On a macroscopic scale the motions of cilia, sperm and flagella are modelled. This mathematical description of biological structure and dynamics, biomathematics, also provides significant new information in order to understand the mechanisms governing shape of living organisms.

Mathematical Biology

Author : Ronald W. Shonkwiler
ISBN : 9780387709840
Genre : Science
File Size : 39. 1 MB
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This text presents mathematical biology as a field with a unity of its own, rather than only the intrusion of one science into another. The book focuses on problems of contemporary interest, such as cancer, genetics, and the rapidly growing field of genomics.

Laboratory Manual Of Biomathematics

Author : Raina Robeva
ISBN : 9780080565040
Genre : Mathematics
File Size : 41. 77 MB
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Designed as supplemental material to the textbook An Invitation to Biomathematics, this laboratory manual expertly aids students who wish to gain a deeper understanding of solving biological issues with computer programs. This manual provides hands-on exploration of model development, model validation, and model refinement, enabling students to truly experience advancements made in biology by mathematical models. Each of the projects offered can be used as individual module in traditional biology or mathematics courses such as calculus, ordinary differential equations, elementary probability, statistics, and genetics. This manual is a companion to the textbook, An Invitation of Biomathematics (sold separately ISBN: 0120887711; or as a set ISBN: 0123740290). * Can be used as a computer lab component of a course in biomathematics or as homework projects for independent student work * Biological topics include: Ecology, Toxicology, Microbiology, Epidemiology, Genetics, Biostatistics, Physiology, Cell Biology, and Molecular Biology * Mathematical topics include: Discrete and continuous dynamical systems, difference equations, differential equations, probability distributions, statistics, data transformation, risk function, statistics, approximate entropy, periodic components, and pulse-detection algorithms * Includes more than 120 exercises derived from ongoing research studies

Advanced Topics In Biomathematics Proceedings Of The International Conference On Mathematical Biology

Author : Chen Lansun
ISBN : 9789814544740
Genre :
File Size : 78. 10 MB
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This book provides a general introduction to applied analysis; vector analysis with physical motivation, calculus of variation, Fourier analysis, eigenfunction expansion, distribution, and so forth, including a catalogue of mathematical theories, such as basic analysis, topological spaces, complex function theory, real analysis, and abstract analysis. This book also uses fundamental ideas of applied mathematics to discuss recent developments in nonlinear science, such as mathematical modeling of reinforced random motion of particles, semiconductor device equation in applied physics, and chemotaxis in biology. Several tools in linear PDE theory, such as fundamental solutions, Perron's method, layer potentials, and iteration scheme, are described, as well as systematic descriptions on the recent study of the blowup of the solution./a

An Introduction To The Mathematics Of Biology

Author : Edward K. Yeargers
ISBN : 9780817638092
Genre : Mathematics
File Size : 88. 59 MB
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A textbook for students majoring in either biology or mathematics, assuming only a year of calculus and no background in biology. Uses a computer algebra system throughout, referenced to programs available on the Birkhauser World Wide Web site, but also allows each lesson to be completed without a computer. Annotation c. by Book News, Inc., Portland, Or.

Introduction To Mathematical Biology

Author : S. I. Rubinow
ISBN : 0486425320
Genre : Science
File Size : 39. 41 MB
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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, presented in a unified fashion; 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. Unabridged republication of the edition published by John Wiley & Sons, New York, 1975. Preface. Solutions. References. Appendixes. Author Index. Subject Index.

An Invitation To Biomathematics

Author : Raina Robeva
ISBN : 0080550991
Genre : Mathematics
File Size : 71. 92 MB
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Essential for all biology and biomathematics courses, this textbook provides students with a fresh perspective of quantitative techniques in biology in a field where virtually any advance in the life sciences requires a sophisticated mathematical approach. An Invitation to Biomathematics, expertly written by a team of experienced educators, offers students a solid understanding of solving biological problems with mathematical applications. This text succeeds in enabling students to truly experience advancements made in biology through mathematical models by containing computer-based hands-on laboratory projects with emphasis on model development, model validation, and model refinement. The supplementary work, Laboratory Manual of Biomathematics is available separately ISBN 0123740223, or as a set ISBN: 0123740290) * Provides a complete guide for development of quantification skills crucial for applying mathematical methods to biological problems * Includes well-known examples from across disciplines in the life sciences including modern biomedical research * Explains how to use data sets or dynamical processes to build mathematical models * Offers extensive illustrative materials * Written in clear and easy-to-follow language without assuming a background in math or biology * A laboratory manual is available for hands-on, computer-assisted projects based on material covered in the text

The Mathematics Of Life

Author : Ian Stewart
ISBN : 9780465024407
Genre : Science
File Size : 30. 12 MB
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Biologists have long dismissed mathematics as being unable to meaningfully contribute to our understanding of living beings. Within the past ten years, however, mathematicians have proven that they hold the key to unlocking the mysteries of our world--and ourselves. In The Mathematics of Life, Ian Stewart provides a fascinating overview of the vital but little-recognized role mathematics has played in pulling back the curtain on the hidden complexities of the natural world--and how its contribution will be even more vital in the years ahead. In his characteristically clear and entertaining fashion, Stewart explains how mathematicians and biologists have come to work together on some of the most difficult scientific problems that the human race has ever tackled, including the nature and origin of life itself.

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