Mathematical Methods In Biology

Mathematical Methods in Biology PDF
Author: J. David Logan
Publisher: John Wiley & Sons
ISBN: 0470525878
Size: 40.78 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 417
View: 6352

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A one–of–a–kind guide to using deterministic and probabilistic methods for solving problems in the biological sciences Highlighting the growing relevance of quantitative techniques in scientific research, Mathematical Methods in Biology provides an accessible presentation of the broad range of important mathematical methods for solving problems in the biological sciences. The book reveals the growing connections between mathematics and biology through clear explanations and specific, interesting problems from areas such as population dynamics, foraging theory, and life history theory. The authors begin with an introduction and review of mathematical tools that are employed in subsequent chapters, including biological modeling, calculus, differential equations, dimensionless variables, and descriptive statistics. The following chapters examine standard discrete and continuous models using matrix algebra as well as difference and differential equations. Finally, the book outlines probability, statistics, and stochastic methods as well as material on bootstrapping and stochastic differential equations, which is a unique approach that is not offered in other literature on the topic. In order to demonstrate the application of mathematical methods to the biological sciences, the authors provide focused examples from the field of theoretical ecology, which serve as an accessible context for study while also demonstrating mathematical skills that are applicable to many other areas in the life sciences. The book′s algorithms are illustrated using MATLAB®, but can also be replicated using other software packages, including R, Mathematica®, and Maple; however, the text does not require any single computer algebra package. Each chapter contains numerous exercises and problems that range in difficulty, from the basic to more challenging, to assist readers with building their problem–solving skills. Selected solutions are included at the back of the book, and a related Web site features supplemental material for further study. Extensively class–tested to ensure an easy–to–follow format, Mathematical Methods in Biology is an excellent book for mathematics and biology courses at the upper–undergraduate and graduate levels. It also serves as a valuable reference for researchers and professionals working in the fields of biology, ecology, and biomathematics.

Mathematical Methods In Biology And Neurobiology

Mathematical Methods in Biology and Neurobiology PDF
Author: Jürgen Jost
Publisher: Springer Science & Business Media
ISBN: 1447163532
Size: 15.95 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 226
View: 3186

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Mathematical models can be used to meet many of the challenges and opportunities offered by modern biology. The description of biological phenomena requires a range of mathematical theories. This is the case particularly for the emerging field of systems biology. Mathematical Methods in Biology and Neurobiology introduces and develops these mathematical structures and methods in a systematic manner. It studies: • discrete structures and graph theory • stochastic processes • dynamical systems and partial differential equations • optimization and the calculus of variations. The biological applications range from molecular to evolutionary and ecological levels, for example: • cellular reaction kinetics and gene regulation • biological pattern formation and chemotaxis • the biophysics and dynamics of neurons • the coding of information in neuronal systems • phylogenetic tree reconstruction • branching processes and population genetics • optimal resource allocation • sexual recombination • the interaction of species. Written by one of the most experienced and successful authors of advanced mathematical textbooks, this book stands apart for the wide range of mathematical tools that are featured. It will be useful for graduate students and researchers in mathematics and physics that want a comprehensive overview and a working knowledge of the mathematical tools that can be applied in biology. It will also be useful for biologists with some mathematical background that want to learn more about the mathematical methods available to deal with biological structures and data.

Mathematical Concepts And Methods In Modern Biology

Mathematical Concepts and Methods in Modern Biology PDF
Author: Raina Robeva
Publisher: Academic Press
ISBN: 0124157939
Size: 78.66 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 372
View: 3075

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Mathematical Concepts and Methods in Modern Biology offers a quantitative framework for analyzing, predicting, and modulating the behavior of complex biological systems. The book presents important mathematical concepts, methods and tools in the context of essential questions raised in modern biology. Designed around the principles of project-based learning and problem-solving, the book considers biological topics such as neuronal networks, plant population growth, metabolic pathways, and phylogenetic tree reconstruction. The mathematical modeling tools brought to bear on these topics include Boolean and ordinary differential equations, projection matrices, agent-based modeling and several algebraic approaches. Heavy computation in some of the examples is eased by the use of freely available open-source software. Features self-contained chapters with real biological research examples using freely available computational tools Spans several mathematical techniques at basic to advanced levels Offers broad perspective on the uses of algebraic geometry/polynomial algebra in molecular systems biology

Mathematical Methods In Chemical And Biological Engineering

Mathematical Methods in Chemical and Biological Engineering PDF
Author: Binay Kanti Dutta
Publisher: CRC Press
ISBN: 1482210398
Size: 53.37 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 694
View: 6650

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Mathematical Methods in Chemical and Biological Engineering describes basic to moderately advanced mathematical techniques useful for shaping the model-based analysis of chemical and biological engineering systems. Covering an ideal balance of basic mathematical principles and applications to physico-chemical problems, this book presents examples drawn from recent scientific and technical literature on chemical engineering, biological and biomedical engineering, food processing, and a variety of diffusional problems to demonstrate the real-world value of the mathematical methods. Emphasis is placed on the background and physical understanding of the problems to prepare students for future challenging and innovative applications.

Theory And Mathematical Methods In Bioinformatics

Theory and Mathematical Methods in Bioinformatics PDF
Author: Shiyi Shen
Publisher: Springer Science & Business Media
ISBN: 9783540748915
Size: 38.77 MB
Format: PDF, Kindle
Category : Science
Languages : en
Pages : 445
View: 1413

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This monograph addresses, in a systematic and pedagogical manner, the mathematical methods and the algorithms required to deal with the molecularly based problems of bioinformatics. Prominent attention is given to pair-wise and multiple sequence alignment algorithms, stochastic models of mutations, modulus structure theory and protein configuration analysis. Strong links to the molecular structures of proteins, DNA and other biomolecules and their analyses are developed.

A Course In Mathematical Biology

A Course in Mathematical Biology PDF
Author: Gerda de Vries
Publisher: SIAM
ISBN: 0898716128
Size: 43.10 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 309
View: 3493

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This is the only book that teaches all aspects of modern mathematical modeling and that is specifically designed to introduce undergraduate students to problem solving in the context of biology. Included is an integrated package of theoretical modeling and analysis tools, computational modeling techniques, and parameter estimation and model validation methods, with a focus on integrating analytical and computational tools in the modeling of biological processes. Divided into three parts, it covers basic analytical modeling techniques; introduces computational tools used in the modeling of biological problems; and includes various problems from epidemiology, ecology, and physiology. All chapters include realistic biological examples, including many exercises related to biological questions. In addition, 25 open-ended research projects are provided, suitable for students. An accompanying Web site contains solutions and a tutorial for the implementation of the computational modeling techniques. Calculations can be done in modern computing languages such as Maple, Mathematica, and MATLAB?.

Methods And Models In Mathematical Biology

Methods and Models in Mathematical Biology PDF
Author: Johannes Müller
Publisher: Springer
ISBN: 3642272517
Size: 79.74 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 711
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This book developed from classes in mathematical biology taught by the authors over several years at the Technische Universität München. The main themes are modeling principles, mathematical principles for the analysis of these models and model-based analysis of data. The key topics of modern biomathematics are covered: ecology, epidemiology, biochemistry, regulatory networks, neuronal networks and population genetics. A variety of mathematical methods are introduced, ranging from ordinary and partial differential equations to stochastic graph theory and branching processes. A special emphasis is placed on the interplay between stochastic and deterministic models.

Mathematical Methods Of Analysis Of Biopolymer Sequences

Mathematical Methods of Analysis of Biopolymer Sequences PDF
Author: Semen Grigorʹevich Gindikin
Publisher: American Mathematical Soc.
ISBN: 9780821871157
Size: 63.65 MB
Format: PDF, ePub, Docs
Category : Science
Languages : en
Pages : 150
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This collection contains papers by participants in the seminar on mathematical methods in molecular biology who worked for several years at the Laboratory of Molecular Biology and Bioorganic Chemistry (now the Institute of Physical and Chemical Problems in Biology) at Moscow State University. The seminar united mathematicians and biologists around the problems of biological sequences. The collection includes original results as well as expository material and spans a range of perspectives, from purely mathematical problems to algorithms and their computer realizations. For this reason, the book is of interest to mathematicians, statisticians, biologists, and computational scientists who work with biopolymer sequences.

Algebraic And Discrete Mathematical Methods For Modern Biology

Algebraic and Discrete Mathematical Methods for Modern Biology PDF
Author: Raina Robeva
Publisher: Academic Press
ISBN: 0128012714
Size: 38.20 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 382
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Written by experts in both mathematics and biology, Algebraic and Discrete Mathematical Methods for Modern Biology offers a bridge between math and biology, providing a framework for simulating, analyzing, predicting, and modulating the behavior of complex biological systems. Each chapter begins with a question from modern biology, followed by the description of certain mathematical methods and theory appropriate in the search of answers. Every topic provides a fast-track pathway through the problem by presenting the biological foundation, covering the relevant mathematical theory, and highlighting connections between them. Many of the projects and exercises embedded in each chapter utilize specialized software, providing students with much-needed familiarity and experience with computing applications, critical components of the "modern biology" skill set. This book is appropriate for mathematics courses such as finite mathematics, discrete structures, linear algebra, abstract/modern algebra, graph theory, probability, bioinformatics, statistics, biostatistics, and modeling, as well as for biology courses such as genetics, cell and molecular biology, biochemistry, ecology, and evolution. Examines significant questions in modern biology and their mathematical treatments Presents important mathematical concepts and tools in the context of essential biology Features material of interest to students in both mathematics and biology Presents chapters in modular format so coverage need not follow the Table of Contents Introduces projects appropriate for undergraduate research Utilizes freely accessible software for visualization, simulation, and analysis in modern biology Requires no calculus as a prerequisite Provides a complete Solutions Manual Features a companion website with supplementary resources

An Introduction To Mathematical Modeling In Physiology Cell Biology And Immunology

An Introduction to Mathematical Modeling in Physiology  Cell Biology  and Immunology PDF
Author: James Sneyd
Publisher: American Mathematical Soc.
ISBN: 0821828169
Size: 31.12 MB
Format: PDF, Docs
Category : Medical
Languages : en
Pages : 177
View: 5932

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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 And Computational Methods In Biology

Mathematical and Computational Methods in Biology PDF
Author: Alejandro Maass
Publisher: Editions Hermann
ISBN:
Size: 79.59 MB
Format: PDF, ePub
Category : Biology
Languages : en
Pages : 295
View: 125

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Mathematical Systems Biology and Metagenomics are two growing interrelated multidisciplinary areas that constitute the scientific framework for the systematic study of the infinite flow of genomic data and all kind of sophisticated biological information, which has arised from the important improvements of technology during the last two decades. Their advent has introduced a new systemic point of view on the analysis of complex biological systems. This volume contains the courses given at the CIMPA-UNESCO Summer School on "Mathematical and Computational Methods in Biology" (Valdivia, Chile) in 2004. More than a textbook, this book presents a sampling of leading topics in the field of Systems Biology and around it, such as : The study of different aspects of genomic data like DNA sequences and signals inside them and expression array. The study by different approaches of ecological systems that can appear in particular in metagenomic communities. The mathematical study and qualitative analysis analysis of regulatory and metabolic networks.

Case Studies In Mathematical Modeling Ecology Physiology And Cell Biology

Case Studies in Mathematical Modeling  ecology  Physiology  and Cell Biology PDF
Author: Hans G. Othmer
Publisher: Pearson College Division
ISBN:
Size: 14.20 MB
Format: PDF, Mobi
Category : Science
Languages : en
Pages : 410
View: 4082

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This volume is a collection of case studies designed to instruct advanced undergraduates and beginning graduate students in the art and science of modeling applied to biological problems. Students with quantitative science background (some knowledge of differential equations) are introduced to the diversity, excitement, and accessibility of problems in the life sciences, and exposed to the intellectual tools for successful mathematical modeling. Each chapter distills lectures given by a leading researcher during a Special Year in Mathematical Biology at the University of Utah in 1995-96. Authors were asked to provide an in-depth exposition of a crucial problem in their area of expertise. The resulting case studies lead students through the formulation, solution, and interpretation of cutting-edge research, catapulting them directly into the research process. To emphasize the unifying power of mathematical methods in biology, authors, have drawn from three highly active areas of research in the life sciences: ecology, physiology, and cell biology.

Applied Analysis

Applied Analysis PDF
Author: Takasi Senba
Publisher: World Scientific
ISBN: 1848166524
Size: 19.43 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 515
View: 3122

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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.