An Introduction To Mathematical Modeling In Physiology Cell Biology And Immunology

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An Introduction to Mathematical Modeling in Physiology, Cell Biology, and Immunology

Author : James Sneyd
Publisher : American Mathematical Soc.
Page : 194 pages
File Size : 41,7 Mb
Release : 2002
Category : Biological models
ISBN : 9780821828168

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An Introduction to Mathematical Modeling in Physiology, Cell Biology, and Immunology by James Sneyd Pdf

In many respects, biology is the new frontier for applied mathematicians. This book demonstrates the important role mathematics plays in the study of some biological problems. It introduces mathematicians to the biological sciences and provides enough mathematics for bioscientists to appreciate the utility of the modelling approach. The book presents a number of diverse topics, such as neurophysiology, cell biology, immunology, and human genetics. It examines how research is done, what mathematics is used, what the outstanding questions are, and how to enter the field. Also given is a brief historical survey of each topic, putting current research into perspective. The book is suitable for mathematicians and biologists interested in mathematical methods in biology.

An Introduction to Mathematical Modeling in Physiology, Cell Biology, and Immunology

Author : James Sneyd
Publisher : Unknown
Page : 194 pages
File Size : 45,9 Mb
Release : 2014-05-10
Category : MEDICAL
ISBN : 0821892746

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An Introduction to Mathematical Modeling in Physiology, Cell Biology, and Immunology by James Sneyd Pdf

In many respects, biology is the new frontier for applied mathematicians. This book demonstrates the important role mathematics plays in the study of some biological problems. It introduces mathematicians to the biological sciences and provides enough mathematics for bioscientists to appreciate the utility of the modelling approach. The book presents a number of diverse topics, such as neurophysiology, cell biology, immunology, and human genetics. It examines how research is done, what mathematics is used, what the outstanding questions are, and how to enter the field. Also given is a brief historical survey of each topic, putting current research into perspective. The book is suitable for mathematicians and biologists interested in mathematical methods in biology.

Mathematical Modeling in Systems Biology

Author : Brian P. Ingalls
Publisher : MIT Press
Page : 423 pages
File Size : 44,5 Mb
Release : 2013-07-05
Category : Science
ISBN : 9780262018883

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Mathematical Modeling in Systems Biology by Brian P. Ingalls Pdf

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.

An Introduction to Mathematical Physiology and Biology

Author : J. Mazumdar
Publisher : Cambridge University Press
Page : 244 pages
File Size : 49,7 Mb
Release : 1999-08-19
Category : Mathematics
ISBN : 0521646758

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An Introduction to Mathematical Physiology and Biology by J. Mazumdar Pdf

A textbook about the mathematical modelling of biological and physiological phenomena for mathematically sophisticated students.

Mathematical Models and Immune Cell Biology

Author : Carmen Molina-París,Grant Lythe
Publisher : Springer Science & Business Media
Page : 407 pages
File Size : 48,8 Mb
Release : 2011-05-05
Category : Medical
ISBN : 9781441977250

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Mathematical Models and Immune Cell Biology by Carmen Molina-París,Grant Lythe Pdf

Whole new areas of immunological research are emerging from the analysis of experimental data, going beyond statistics and parameter estimation into what an applied mathematician would recognise as modelling of dynamical systems. Stochastic methods are increasingly important, because stochastic models are closer to the Brownian reality of the cellular and sub-cellular world.

Mathematical Modeling in Systems Biology

Author : Brian P. Ingalls
Publisher : MIT Press
Page : 423 pages
File Size : 52,7 Mb
Release : 2022-06-07
Category : Science
ISBN : 9780262545822

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Mathematical Modeling in Systems Biology by Brian P. Ingalls Pdf

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.

Killer Cell Dynamics

Author : Dominik Wodarz
Publisher : Springer Science & Business Media
Page : 226 pages
File Size : 54,7 Mb
Release : 2007-04-05
Category : Mathematics
ISBN : 9780387687339

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Killer Cell Dynamics by Dominik Wodarz Pdf

This book reviews how mathematical and computational approaches can be useful to help us understand how killer T-cell responses work to fight viral infections. It also demonstrates, in a writing style that exemplifies the point, that such mathematical and computational approaches are most valuable when coupled with experimental work through interdisciplinary collaborations. Designed to be useful to immunoligists and viroligists without extensive computational background, the book covers a broad variety of topics, including both basic immunological questions and the application of these insights to the understanding and treatment of pathogenic human diseases.

Mathematical Modeling of Biological Systems, Volume II

Author : Andreas Deutsch,Rafael Bravo de la Parra,Rob J. de Boer,Odo Diekmann,Peter Jagers,Eva Kisdi,Mirjam Kretzschmar,Petr Lansky,Hans Metz
Publisher : Springer Science & Business Media
Page : 386 pages
File Size : 43,6 Mb
Release : 2007-10-12
Category : Mathematics
ISBN : 9780817645564

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Mathematical Modeling of Biological Systems, Volume II by Andreas Deutsch,Rafael Bravo de la Parra,Rob J. de Boer,Odo Diekmann,Peter Jagers,Eva Kisdi,Mirjam Kretzschmar,Petr Lansky,Hans Metz Pdf

Volume II 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. Highlighted throughout are mathematical and computational apporaches to examine central problems in the life sciences, ranging from the organization principles of individual cells to the dynamics of large populations. The chapters are thematically organized into the following main areas: epidemiology, evolution and ecology, immunology, neural systems and the brain, and innovative mathematical methods and education. 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.

Introduction to Mathematical Biology

Author : Ching Shan Chou,Avner Friedman
Publisher : Springer
Page : 172 pages
File Size : 45,6 Mb
Release : 2016-04-27
Category : Mathematics
ISBN : 9783319296388

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Introduction to Mathematical Biology by Ching Shan Chou,Avner Friedman Pdf

This book is based on a one semester course that the authors have been teaching for several years, and includes two sets of case studies. The first includes chemostat models, predator-prey interaction, competition among species, the spread of infectious diseases, and oscillations arising from bifurcations. In developing these topics, readers will also be introduced to the basic theory of ordinary differential equations, and how to work with MATLAB without having any prior programming experience. The second set of case studies were adapted from recent and current research papers to the level of the students. Topics have been selected based on public health interest. This includes the risk of atherosclerosis associated with high cholesterol levels, cancer and immune interactions, cancer therapy, and tuberculosis. Readers will experience how mathematical models and their numerical simulations can provide explanations that guide biological and biomedical research. Considered to be the undergraduate companion to the more advanced book "Mathematical Modeling of Biological Processes" (A. Friedman, C.-Y. Kao, Springer – 2014), this book is geared towards undergraduate students with little background in mathematics and no biological background.

Using the Mathematics Literature

Author : Kristine K. Fowler
Publisher : CRC Press
Page : 475 pages
File Size : 53,7 Mb
Release : 2004-05-25
Category : Language Arts & Disciplines
ISBN : 9781482276442

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Using the Mathematics Literature by Kristine K. Fowler Pdf

This reference serves as a reader-friendly guide to every basic tool and skill required in the mathematical library and helps mathematicians find resources in any format in the mathematics literature. It lists a wide range of standard texts, journals, review articles, newsgroups, and Internet and database tools for every major subfield in mathemati

Mathematical Physiology

Author : James Keener,James Sneyd
Publisher : Springer Science & Business Media
Page : 547 pages
File Size : 53,5 Mb
Release : 2010-06-04
Category : Mathematics
ISBN : 9780387758473

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Mathematical Physiology by James Keener,James Sneyd Pdf

Divided into two volumes, the book begins with a pedagogical presentation of some of the basic theory, with chapters on biochemical reactions, diffusion, excitability, wave propagation and cellular homeostasis. The second, more extensive part discusses particular physiological systems, with chapters on calcium dynamics, bursting oscillations and secretion, cardiac cells, muscles, intercellular communication, the circulatory system, the immune system, wound healing, the respiratory system, the visual system, hormone physiology, renal physiology, digestion, the visual system and hearing. New chapters on Calcium Dynamics, Neuroendocrine Cells and Regulation of Cell Function have been included. Reviews from first edition: Keener and Sneyd's Mathematical Physiology is the first comprehensive text of its kind that deals exclusively with the interplay between mathematics and physiology. Writing a book like this is an audacious act! -Society of Mathematical Biology Keener and Sneyd's is unique in that it attempts to present one of the most important subfields of biology and medicine, physiology, in terms of mathematical "language", rather than organizing materials around mathematical methodology. -SIAM review

Cellular Biophysics and Modeling

Author : Greg Conradi Smith
Publisher : Cambridge University Press
Page : 395 pages
File Size : 45,6 Mb
Release : 2019-03-14
Category : Mathematics
ISBN : 9781107005365

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Cellular Biophysics and Modeling by Greg Conradi Smith Pdf

What every neuroscientist should know about the mathematical modeling of excitable cells, presented at an introductory level.

Exploring Mathematical Modeling in Biology Through Case Studies and Experimental Activities

Author : Rebecca Sanft,Anne Walter
Publisher : Academic Press
Page : 262 pages
File Size : 45,7 Mb
Release : 2020-03-30
Category : Science
ISBN : 9780128195963

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Exploring Mathematical Modeling in Biology Through Case Studies and Experimental Activities by Rebecca Sanft,Anne Walter Pdf

Exploring Mathematical Modeling in Biology through Case Studies and Experimental Activities provides supporting materials for courses taken by students majoring in mathematics, computer science or in the life sciences. The book's cases and lab exercises focus on hypothesis testing and model development in the context of real data. The supporting mathematical, coding and biological background permit readers to explore a problem, understand assumptions, and the meaning of their results. The experiential components provide hands-on learning both in the lab and on the computer. As a beginning text in modeling, readers will learn to value the approach and apply competencies in other settings. Included case studies focus on building a model to solve a particular biological problem from concept and translation into a mathematical form, to validating the parameters, testing the quality of the model and finally interpreting the outcome in biological terms. The book also shows how particular mathematical approaches are adapted to a variety of problems at multiple biological scales. Finally, the labs bring the biological problems and the practical issues of collecting data to actually test the model and/or adapting the mathematics to the data that can be collected. Presents a single volume on mathematics and biological examples, with data and wet lab experiences suitable for non-experts Contains three real-world biological case studies and one wet lab for application of the mathematical models Includes R code templates throughout the text, which are also available through an online repository, along with the necessary data files to complete all projects and labs

Systems Immunology

Author : Jayajit Das,Ciriyam Jayaprakash
Publisher : CRC Press
Page : 334 pages
File Size : 53,8 Mb
Release : 2018-09-03
Category : Science
ISBN : 9781498717410

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Systems Immunology by Jayajit Das,Ciriyam Jayaprakash Pdf

"Taken together, the body of information contained in this book provides readers with a bird’s-eye view of different aspects of exciting work at the convergence of disciplines that will ultimately lead to a future where we understand how immunity is regulated, and how we can harness this knowledge toward practical ends that reduce human suffering. I commend the editors for putting this volume together." –Arup K. Chakraborty, Robert T. Haslam Professor of Chemical Engineering, and Professor of Physics, Chemistry, and Biological Engineering, Massachusetts Institute of Technology, Cambridge, USA New experimental techniques in immunology have produced large and complex data sets that require quantitative modeling for analysis. This book provides a complete overview of computational immunology, from basic concepts to mathematical modeling at the single molecule, cellular, organism, and population levels. It showcases modern mechanistic models and their use in making predictions, designing experiments, and elucidating underlying biochemical processes. It begins with an introduction to data analysis, approximations, and assumptions used in model building. Core chapters address models and methods for studying immune responses, with fundamental concepts clearly defined. Readers from immunology, quantitative biology, and applied physics will benefit from the following: Fundamental principles of computational immunology and modern quantitative methods for studying immune response at the single molecule, cellular, organism, and population levels. An overview of basic concepts in modeling and data analysis. Coverage of topics where mechanistic modeling has contributed substantially to current understanding. Discussion of genetic diversity of the immune system, cell signaling in the immune system, immune response at the cell population scale, and ecology of host-pathogen interactions.

Tutorials in Mathematical Biosciences III

Author : Avner Friedman
Publisher : Springer
Page : 246 pages
File Size : 49,8 Mb
Release : 2005-11-24
Category : Mathematics
ISBN : 9783540324157

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Tutorials in Mathematical Biosciences III by Avner Friedman Pdf

This volume introduces some basic mathematical models for cell cycle, proliferation, cancer, and cancer therapy. Chapter 1 gives an overview of the modeling of the cell division cycle. Chapter 2 describes how tumor secretes growth factors to form new blood vessels in its vicinity, which provide it with nutrients it needs in order to grow. Chapter 3 explores the process that enables the tumor to invade the neighboring tissue. Chapter 4 models the interaction between a tumor and the immune system. Chapter 5 is concerned with chemotherapy; it uses concepts from control theory to minimize obstacles arising from drug resistance and from cell cycle dynamics. Finally, Chapter 6 reviews mathematical results for various cancer models.