# Download Ebook Free Algebraic And Discrete Mathematical Methods For Modern Biology

## Algebraic and Discrete Mathematical Methods for Modern Biology

Publisher : Academic Press

Release Date : 2015-05-09

Category : Mathematics

Total 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

## Mathematical Concepts and Methods in Modern Biology

Publisher : Academic Press

Release Date : 2013-02-26

Category : Mathematics

Total pages :372

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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

## Algebraic and Combinatorial Computational Biology

Publisher : Academic Press

Release Date : 2018-10-08

Category : Mathematics

Total pages :434

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Algebraic and Combinatorial Computational Biology introduces students and researchers to a panorama of powerful and current methods for mathematical problem-solving in modern computational biology. Presented in a modular format, each topic introduces the biological foundations of the field, covers specialized mathematical theory, and concludes by highlighting connections with ongoing research, particularly open questions. The work addresses problems from gene regulation, neuroscience, phylogenetics, molecular networks, assembly and folding of biomolecular structures, and the use of clustering methods in biology. A number of these chapters are surveys of new topics that have not been previously compiled into one unified source. These topics were selected because they highlight the use of technique from algebra and combinatorics that are becoming mainstream in the life sciences. Integrates a comprehensive selection of tools from computational biology into educational or research programs Emphasizes practical problem-solving through multiple exercises, projects and spinoff computational simulations Contains scalable material for use in undergraduate and graduate-level classes and research projects Introduces the reader to freely-available professional software Supported by illustrative datasets and adaptable computer code

## Laboratory Manual of Biomathematics

Publisher : Academic Press

Release Date : 2008

Category : Mathematics

Total pages :178

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Laboratory Manual of Biomathematics is a companion 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. It 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. 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. It includes more than 120 exercises derived from ongoing research studies. This text is designed for courses in mathematical biology, undergraduate biology majors, as well as general mathematics. The reader is not expected to have any extensive background in either math or biology. 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

## An Invitation to Biomathematics

Publisher : Academic Press

Release Date : 2007-08-28

Category : Mathematics

Total pages :480

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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

## A Primer for Undergraduate Research

Publisher : Birkhäuser

Release Date : 2018-02-06

Category : Mathematics

Total pages :313

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This highly readable book aims to ease the many challenges of starting undergraduate research. It accomplishes this by presenting a diverse series of self-contained, accessible articles which include specific open problems and prepare the reader to tackle them with ample background material and references. Each article also contains a carefully selected bibliography for further reading. The content spans the breadth of mathematics, including many topics that are not normally addressed by the undergraduate curriculum (such as matroid theory, mathematical biology, and operations research), yet have few enough prerequisites that the interested student can start exploring them under the guidance of a faculty member. Whether trying to start an undergraduate thesis, embarking on a summer REU, or preparing for graduate school, this book is appropriate for a variety of students and the faculty who guide them.

## BIOMAT 2015

Publisher : World Scientific

Release Date : 2016-04-28

Category : Science

Total pages :412

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This is a book of an international series on interdisciplinary topics of the Mathematical and Biological Sciences. The chapters are related to selected papers on the research themes presented at BIOMAT 2015 International Symposium on Mathematical and Computational Biology which was held in the Roorkee Institute of Technology, in Roorkee, Uttarakhand, India, on November 02–06, 2015. The treatment is both pedagogical and advanced in order to motivate research students to fulfill the requirements of professional practitioners. As in other volumes of this series, there are new important results on the interdisciplinary fields of mathematical and biological sciences and comprehensive reviews written by prominent scientific leaders of famous research groups. There are new results based on the state of art research in Population Dynamics, on Pattern Recognition of Biological Phenomena, the Mathematical Modelling of Infectious Diseases, Computational Biology, the Dynamic and Geometric Modelling of Biological Phenomena, the Modelling of Physiological Disorders, the Optimal Control Techniques in Mathematical Modelling of Biological Phenomena, the Hydrodynamics and Elasticity of Cell Tissues and Bacterial Growth and the Mathematical Morphology of Biological Structures. All these contributions are also strongly recommended to professionals from other scientific areas aiming to work on these interdisciplinary fields. Contents:Mathematical Modelling of Infectious Diseases:Network Structure and Enzymatic Evolution in Leishmania Metabolism: A Computational Study (A Subramanian & R R Sarkar)Long-Term Potential of Imperfect Seasonal Flu Vaccine in Presence of Natural Immunity (S Ghosh & J M Heffernan)Impact of Non-Markovian Recovery on Network Epidemics (G Röst, Z Vizi & I Z Kiss)A Modelling Framework for Serotype Replacement in Vaccine-Preventable Diseases (M Kang, A L Espindola, M Laskowski & S M Moghadas)Pattern Recognition of Biological Phenomena:An Integrative Approach for Model Driven Computation of Treatments in Reproductive Medicine (R Ehrig, T Dierkes, S Schäfer, S Röblitz, E Tronci, T Mancini, I Salvo, V Alimguzhin, F Mari, I Melatti, A Massini, B Leeners, T H C Krüger, M Egli, F Ille & B Leeners)The Network Route to Biological Complexity (S J Banerjee, R K Grewal, S Sinha & S Roy)A Systems Biology Approach to Bovine Fertility and Metabolism: Introduction of a Glucose Insulin Model (Julia Plöntzke, M Berg, C Stötzel & S Röblitz)Biographer: Visualization of Graph Theoretical Patterns, Measurements, and Analysis in Mathematical Biology (R Viswanathan, S Liang, Y Yang & J R Jungck)Hydrodynamics and Elasticity of Cell Tissues and Bacterial Growth:Modelling the Early Growth of Stem Cell Tissues (R A Barrio, S Orozco-Fuentes & R Romero-Arias)Non-local Hydrodynamics of Swimming Bacteria and Self-Activated Process (S Roy & R Llinás)Dynamic and Geometric Modelling of Biomolecular Structures:Geometric Analysis of the Conformational features of Protein Structures (M Datt)Computational Biology:Prediction of System States, Robustness and Stability of the Human Wnt Signal Transduction Pathway using Boolean Logic (L Nayak, R K De & A Datta)Entropy Measures and the Statistical Analysis of Protein Family Classification (R P Mondaini & S C de Albuquerque Neto)Clustering Neuraminidase Influenza Protein Sequences (X Li, H Jankowski, S Boonpatcharanon, V Tran, X Wang & J M Heffernan)Optimal Control Techniques in Mathematical Modelling of Biological Phenomena:Optimal Control for Therapeutic Drug Treatment on a Delayed Model Incorporating Immune Response (P Dubey, B Dubey & U S Dubey)Population Dynamics:Bifurcations and Oscilllatory Dynamics in a Tumor Immune Interaction Model (S Khajanchi)On a Nonlinear System Modelling Darwinian Dynamics and the Immune Response to Cancer Evolution (A Bellouquid, M Ch-Chaoui & E de Angelis)Sexual Selection is Not Required: A Mathematical Model of Species with Sexually Differentiated Death Rates (D Wallace, E Dauson, C Pinion & K Hayashi)Models for Two Strains of the Caprine Arthritis Encephalitis Virus Disease (S Collino, E Venturino, L Ferreri, L Bertolotti, S Rosati & M Giacobini)Conservation of Forestry Biomass Introducing Variable Taxation for Harvesting: A Mathematical Model (M Chaudhary, J Dhar & O P Misra)Stability Analysis of a Two Species Competition Model with Fuzzy Initial Conditions: Fuzzy Differential Equation Approach Environment (S Paul, P Bhattacharya & K S Chaudhuri)Modelling Physiological Disorders:Magnetic Resonance Guided High Intensity Focused Ultrasound — Mathematical Modeling of an Innovative, State of the Art Technology for Cancer Therapy (J Murley, J Thangaraj, J Drake, A Waspe & S Sivaloganathan)The Effects of Fibroblasts on Wave Dynamics in a Mathematical Model for Human Ventricular Tissue (A R Nayak & R Pandit)A Simple Logistic Sigmoidal Model Predicts Oxidative Stress Thresholds in Newly Diagnosed Diabetics on Glucose Control Therapy (R Kulkarni) Readership: Undergraduates, graduates, researchers and all practitioners in the interdisciplinary fields of Mathematical Biology, Biological Physics and Mathematical Modelling of Biosystems.

## Pursuing Sustainability

Publisher : Princeton University Press

Release Date : 2016-03-29

Category : Political Science

Total pages :248

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An essential guide to sustainable development for students and practitioners Sustainability is a global imperative and a scientific challenge like no other. This concise guide provides students and practitioners with a strategic framework for linking knowledge with action in the pursuit of sustainable development, and serves as an invaluable companion to more narrowly focused courses dealing with sustainability in particular sectors such as energy, food, water, and housing, or in particular regions of the world. Written by leading experts, Pursuing Sustainability shows how more inclusive and interdisciplinary approaches and systems perspectives can help you achieve your sustainability objectives. It stresses the need for understanding how capital assets are linked to sustainability goals through the complex adaptive dynamics of social-environmental systems, how committed people can use governance processes to alter those dynamics, and how successful interventions can be shaped through collaborations among researchers and practitioners on the ground. The ideal textbook for undergraduate and graduate students and an invaluable resource for anyone working in this fast-growing field, Pursuing Sustainability also features case studies, a glossary, and suggestions for further reading. Provides a strategic framework for linking knowledge with action Draws on the latest cutting-edge science and practices Serves as the ideal companion text to more narrowly focused courses Utilizes interdisciplinary approaches and systems perspectives Illustrates concepts with a core set of case studies used throughout the book Written by world authorities on sustainability An online illustration package is available to professors

## Methods and Models in Mathematical Biology

Publisher : Springer

Release Date : 2015-08-13

Category : Mathematics

Total 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.

## Algebraic Statistics for Computational Biology

Publisher : Cambridge University Press

Release Date : 2005-08-22

Category : Mathematics

Total pages :420

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This book, first published in 2005, offers an introduction to the application of algebraic statistics to computational biology.

## Algebraic and Geometric Methods in Discrete Mathematics

Publisher : American Mathematical Soc.

Release Date : 2017-03-16

Category : Commutative algebra -- Computational aspects and applications -- Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.)

Total pages :277

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This volume contains the proceedings of the AMS Special Session on Algebraic and Geometric Methods in Applied Discrete Mathematics, held on January 11, 2015, in San Antonio, Texas. The papers present connections between techniques from “pure” mathematics and various applications amenable to the analysis of discrete models, encompassing applications of combinatorics, topology, algebra, geometry, optimization, and representation theory. Papers not only present novel results, but also survey the current state of knowledge of important topics in applied discrete mathematics. Particular highlights include: a new computational framework, based on geometric combinatorics, for structure prediction from RNA sequences; a new method for approximating the optimal solution of a sum of squares problem; a survey of recent Helly-type geometric theorems; applications of representation theory to voting theory and game theory; a study of fixed points of tensors; and exponential random graph models from the perspective of algebraic statistics with applications to networks. This volume was written for those trained in areas such as algebra, topology, geometry, and combinatorics who are interested in tackling problems in fields such as biology, the social sciences, data analysis, and optimization. It may be useful not only for experts, but also for students who wish to gain an applied or interdisciplinary perspective.

## Discrete Mathematics with Applications

Publisher : Elsevier

Release Date : 2004-01-19

Category : Mathematics

Total pages :1042

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This approachable text studies discrete objects and the relationsips that bind them. It helps students understand and apply the power of discrete math to digital computer systems and other modern applications. It provides excellent preparation for courses in linear algebra, number theory, and modern/abstract algebra and for computer science courses in data structures, algorithms, programming languages, compilers, databases, and computation. * Covers all recommended topics in a self-contained, comprehensive, and understandable format for students and new professionals * Emphasizes problem-solving techniques, pattern recognition, conjecturing, induction, applications of varying nature, proof techniques, algorithm development and correctness, and numeric computations * Weaves numerous applications into the text * Helps students learn by doing with a wealth of examples and exercises: - 560 examples worked out in detail - More than 3,700 exercises - More than 150 computer assignments - More than 600 writing projects * Includes chapter summaries of important vocabulary, formulas, and properties, plus the chapter review exercises * Features interesting anecdotes and biographies of 60 mathematicians and computer scientists * Instructor's Manual available for adopters * Student Solutions Manual available separately for purchase (ISBN: 0124211828)

## Mathematical Biology II

Publisher : Springer Science & Business Media

Release Date : 2011-02-15

Category : Mathematics

Total pages :814

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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

## Symmetric Designs

Publisher : Cambridge University Press

Release Date : 1983-01-20

Category : Mathematics

Total pages :306

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Symmetric designs are an important class of combinatorial structures which arose first in the statistics and are now especially important in the study of finite geometries. This book presents some of the algebraic techniques that have been brought to bear on the question of existence, construction and symmetry of symmetric designs - including methods inspired by the algebraic theory of coding and by the representation theory of finite groups - and includes many results. Rich in examples and containing over 100 problems, the text also provides an introduction to many of the modern algebraic approaches used, through six lengthy appendices and supplementary problems. The book will be of interest to both combinatorialists and algebraists, and could be used as a course text for a graduate course.

## Discrete Mathematics - Proof Techniques And Mathematical Structures

Publisher : World Scientific Publishing Company

Release Date : 1999-10-19

Category : Mathematics

Total pages :488

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This book offers an introduction to mathematical proofs and to the fundamentals of modern mathematics. No real prerequisites are needed other than a suitable level of mathematical maturity. The text is divided into two parts, the first of which constitutes the core of a one-semester course covering proofs, predicate calculus, set theory, elementary number theory, relations, and functions, and the second of which applies this material to a more advanced study of selected topics in pure mathematics, applied mathematics, and computer science, specifically cardinality, combinatorics, finite-state automata, and graphs. In both parts, deeper and more interesting material is treated in optional sections, and the text has been kept flexible by allowing many different possible courses or emphases based upon different paths through the volume.