Mathematical Models In Molecular Cellular Biology

Mathematical Models in Molecular Cellular Biology PDF
Author: Segel
Publisher: CUP Archive
ISBN: 9780521229258
Size: 66.78 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 757
View: 7665

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Interest in theoretical biology is rapidly growing and this 1981 book attempts to make the theory more accessible to experimentalists. Its primary purpose is to demonstrate to experimental molecular and cellular biologists the possible usefulness of mathematical models. Biologists with a basic command of calculus should be able to learn from the book what assumptions are implied by various types of equations, to understand in broad outline a number of major theoretical concepts, and to be aware of some of the difficulties connected with analytical and numerical solutions of mathematical problems. Thus they should be able to appreciate the significance of theoretical papers in their fields and to communicate usefully with theoreticians in the course of their work.

Mathematical Models In Molecular Cellular Biology

Mathematical Models in Molecular Cellular Biology PDF
Author: Lee A. Segel
Publisher: Cambridge University Press
ISBN: 9780521270540
Size: 53.74 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 768
View: 6900

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Interest in theoretical biology is rapidly growing and this 1981 book attempts to make the theory more accessible to experimentalists. Its primary purpose is to demonstrate to experimental molecular and cellular biologists the possible usefulness of mathematical models. Biologists with a basic command of calculus should be able to learn from the book what assumptions are implied by various types of equations, to understand in broad outline a number of major theoretical concepts, and to be aware of some of the difficulties connected with analytical and numerical solutions of mathematical problems. Thus they should be able to appreciate the significance of theoretical papers in their fields and to communicate usefully with theoreticians in the course of their work.

Mathematical Modeling In Systems Biology

Mathematical Modeling in Systems Biology PDF
Author: Brian P. Ingalls
Publisher: MIT Press
ISBN: 0262018888
Size: 64.57 MB
Format: PDF, ePub, Docs
Category : Science
Languages : en
Pages : 408
View: 1576

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An introduction to the mathematical concepts and techniques needed for the construction and analysis of models in molecular systems biology. Systems techniques are integral to current research in molecular cell biology, and system-level investigations are often accompanied by mathematical models. These models serve as working hypotheses: they help us to understand and predict the behavior of complex systems. This book offers an introduction to mathematical concepts and techniques needed for the construction and interpretation of models in molecular systems biology. It is accessible to upper-level undergraduate or graduate students in life science or engineering who have some familiarity with calculus, and will be a useful reference for researchers at all levels. The first four chapters cover the basics of mathematical modeling in molecular systems biology. The last four chapters address specific biological domains, treating modeling of metabolic networks, of signal transduction pathways, of gene regulatory networks, and of electrophysiology and neuronal action potentials. Chapters 3–8 end with optional sections that address more specialized modeling topics. Exercises, solvable with pen-and-paper calculations, appear throughout the text to encourage interaction with the mathematical techniques. More involved end-of-chapter problem sets require computational software. Appendixes provide a review of basic concepts of molecular biology, additional mathematical background material, and tutorials for two computational software packages (XPPAUT and MATLAB) that can be used for model simulation and analysis.

Modeling Dynamic Phenomena In Molecular And Cellular Biology

Modeling Dynamic Phenomena in Molecular and Cellular Biology PDF
Author: Lee A. Segel
Publisher: Cambridge University Press
ISBN: 9780521274777
Size: 21.79 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 300
View: 2664

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The dynamic development of various processes is a central problem of biology and indeed of all the sciences. The mathematics describing that development is, in general, complicated, because the models that are realistic are usually nonlinear. Consequently many biologists may not notice a possible application of theory. They may be unable to decide whether a particular model captures the essence of a system, or to appreciate that analysis of a model can reveal important aspects of biological problems and may even describe in detail how a system works. The aim of this textbook is to remedy the situation by adopting a general approach to model analysis and applying it several times to problems (drawn primarily from molecular and cellular biology) of gradually increasing biological and mathematical complexity. Although material of considerable sophistication is included, little mathematical background is required - only some exposure to elementary calculus; appendixes supply the necessary mathematics and the author concentrates on concepts rather than techniques. He also emphasizes the role of computers in giving a full picture of model behavior and complementing more qualitative analysis. Some problems suitable for computer analysis are also included. This is a class-tested textbook suitable for a one-semester course for advanced undergraduate and beginning graduate students in biology or applied mathematics. It can also be used as a source book for teachers and a reference for specialists.

Mathematical Modeling Of Biological Systems Volume I

Mathematical Modeling of Biological Systems  Volume I PDF
Author: Andreas Deutsch
Publisher: Springer Science & Business Media
ISBN: 0817645586
Size: 49.47 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 382
View: 3056

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Volume I of this two-volume, interdisciplinary work is a unified presentation of a broad range of state-of-the-art topics in the rapidly growing field of mathematical modeling in the biological sciences. The chapters are thematically organized into the following main areas: cellular biophysics, regulatory networks, developmental biology, biomedical applications, data analysis and model validation. The work will be an excellent reference text for a broad audience of researchers, practitioners, and advanced students in this rapidly growing field at the intersection of applied mathematics, experimental biology and medicine, computational biology, biochemistry, computer science, and physics.

Mathematical Models In Biology

Mathematical Models in Biology PDF
Author: Leah Edelstein-Keshet
Publisher: SIAM
ISBN: 9780898719147
Size: 15.31 MB
Format: PDF, ePub, Docs
Category : Biology
Languages : en
Pages : 586
View: 631

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Mathematical Models in Biology is an introductory book for readers interested in biological applications of mathematics and modeling in biology. A favorite in the mathematical biology community, it shows how relatively simple mathematics can be applied to a variety of models to draw interesting conclusions. Connections are made between diverse biological examples linked by common mathematical themes. A variety of discrete and continuous ordinary and partial differential equation models are explored. Although great advances have taken place in many of the topics covered, the simple lessons contained in this book are still important and informative. Audience: the book does not assume too much background knowledge--essentially some calculus and high-school algebra. It was originally written with third- and fourth-year undergraduate mathematical-biology majors in mind; however, it was picked up by beginning graduate students as well as researchers in math (and some in biology) who wanted to learn about this field.

Biological Kinetics

Biological Kinetics PDF
Author: Lee A. Segel
Publisher: Cambridge University Press
ISBN: 9780521391849
Size: 77.89 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 220
View: 5058

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This book demonstrates how an understanding of biological kinetics can lead to knowledge about the biological model being examined.

Discrete And Topological Models In Molecular Biology

Discrete and Topological Models in Molecular Biology PDF
Author: Nataša Jonoska
Publisher: Springer Science & Business Media
ISBN: 3642401937
Size: 41.32 MB
Format: PDF, ePub, Docs
Category : Computers
Languages : en
Pages : 524
View: 7368

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Theoretical tools and insights from discrete mathematics, theoretical computer science, and topology now play essential roles in our understanding of vital biomolecular processes. The related methods are now employed in various fields of mathematical biology as instruments to "zoom in" on processes at a molecular level. This book contains expository chapters on how contemporary models from discrete mathematics – in domains such as algebra, combinatorics, and graph and knot theories – can provide perspective on biomolecular problems ranging from data analysis, molecular and gene arrangements and structures, and knotted DNA embeddings via spatial graph models to the dynamics and kinetics of molecular interactions. The contributing authors are among the leading scientists in this field and the book is a reference for researchers in mathematics and theoretical computer science who are engaged with modeling molecular and biological phenomena using discrete methods. It may also serve as a guide and supplement for graduate courses in mathematical biology or bioinformatics, introducing nontraditional aspects of mathematical biology.

Models In Biology

Models in Biology PDF
Author: David Brown
Publisher: John Wiley & Sons Incorporated
ISBN:
Size: 66.73 MB
Format: PDF
Category : Science
Languages : en
Pages : 688
View: 7405

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This text provides an introduction to the use of mathematical models in biology, the statistical techniques for fitting and testing them, and associated computing methods. The properties of models, and methods of fitting and testing, are demonstrated by computer simulation illustrations.