{"product_id":"biological-clocks-rhythms-and-oscillations-isbn-9780262552813","title":"Biological Clocks, Rhythms, and Oscillations","description":"\u003cb\u003eAn introduction to the mathematical, computational, and analytical techniques used for modeling biological rhythms, presenting tools from many disciplines and example applications.\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003eAll areas of biology and medicine contain rhythms, and these behaviors are best understood through mathematical tools and techniques. This book offers a survey of mathematical, computational, and analytical techniques used for modeling biological rhythms, gathering these methods for the first time in one volume. Drawing on material from such disciplines as mathematical biology, nonlinear dynamics, physics, statistics, and engineering, it presents practical advice and techniques for studying biological rhythms, with a common language.\u003cbr\u003e\u003cbr\u003eThe chapters proceed with increasing mathematical abstraction. Part I, on models, highlights the implicit assumptions and common pitfalls of modeling, and is accessible to readers with basic knowledge of differential equations and linear algebra. Part II, on behaviors, focuses on simpler models, describing common properties of biological rhythms that range from the firing properties of squid giant axon to human circadian rhythms. Part III, on mathematical techniques, guides readers who have specific models or goals in mind. Sections on “frontiers” present the latest research; “theory” sections present interesting mathematical results using more accessible approaches than can be found elsewhere. Each chapter offers exercises. Commented MATLAB code is provided to help readers get practical experience.\u003cbr\u003e\u003cbr\u003eThe book, by an expert in the field, can be used as a textbook for undergraduate courses in mathematical biology or graduate courses in modeling biological rhythms and as a reference for researchers.Preface xiii\u003cbr\u003eNotation xvii\u003cbr\u003e1 Basics 1\u003cbr\u003ePART I MODELS 35\u003cbr\u003e2 Biophysical Mechanistic Modeling: Choosing the Right Model Equations 37\u003cbr\u003e3 Functioning in the Changing Cellular Environment 73\u003cbr\u003e4 When Do Feedback Loops Oscillate? 101\u003cbr\u003ePART II BEHAVIORS 131\u003cbr\u003e5 Systems-Level Modeling 133\u003cbr\u003e6 Phase Response Curves 171\u003cbr\u003e7 Eighteen Principles of Synchrony 195\u003cbr\u003ePART III ANALYSIS AND COMPUTATION 225\u003cbr\u003e8 Statistical and Computational Tools for Model Building: How to Extract Information from Timeseries Data 227\u003cbr\u003e9 How to Shift an Oscillator Optimally 261\u003cbr\u003e10 Mathematical and Computational Techniques for Multiscale Problems 291\u003cbr\u003eGlossary 323\u003cbr\u003eBibliography 329\u003cbr\u003eIndex 341\u003cb\u003eENDORSEMENTS\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e\"Forger's book is an excellent choice for students\/researchers …\"\u003cbr\u003e\u003ci\u003e\u003cb\u003e—The Journal of Biological Rhythms\u003c\/b\u003e\u003c\/i\u003e\u003cbr\u003e\"This book is useful for students, teachers, and researchers. Teachers will find illustrative toy models to introduce theoretical concepts in mathematical biology. Researchers will find useful elements to better grasp the theory underlying published models as well as hints to build models on a rational basis.\"\u003cbr\u003e\u003ci\u003e\u003cb\u003e—The Quarterly Review of Biology\u003c\/b\u003e\u003c\/i\u003e\u003cbr\u003e\"Researchers will find this book to be a welcome reference – it contains a treasure trove of good advice and a broad overview of issues that one should consider in the mathematical study of biological oscillators.\"\u003cbr\u003e\u003ci\u003e\u003cb\u003e—Society for Industrial and Applied Mathematics\u003c\/b\u003e\u003c\/i\u003e\u003cbr\u003e\"This text will be a valuable reference for researchers working in chronobiology. It would also be useful for undergraduates reading mathematical biology.\"\u003cbr\u003e\u003ci\u003e\u003cb\u003e—The Biologist\u003c\/b\u003e\u003c\/i\u003eDaniel B. Forger is Professor in the Department of Mathematics and in the Department of Computational Medicine and Bioinformatics at the University of Michigan.","brand":"The MIT Press","offers":[{"title":"Default Title","offer_id":46301909876965,"sku":"NP9780262552813","price":75.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9780262552813.jpg?v=1767722632","url":"https:\/\/k12savings.com\/es\/products\/biological-clocks-rhythms-and-oscillations-isbn-9780262552813","provider":"K12savings","version":"1.0","type":"link"}