Mathematical Concepts and Methods in Modern Biology Book

Mathematical Concepts and Methods in Modern Biology


  • Author : Raina S. Robeva
  • Publisher : Unknown
  • Release Date : 2013
  • Genre: Mathematics
  • Pages : 349
  • ISBN 10 : 0124157807

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Mathematical Concepts and Methods in Modern Biology Excerpt :

Arising from current scientific publications and on-going investigations by leading researchers this book is an essential resource for anyone needing to better understand the interdisciplinary relationship between mathematics and biology. The book is organized by research topic of interest and introduces mathematical models and methods specifically to that topic --

Algebraic and Discrete Mathematical Methods for Modern Biology Book

Algebraic and Discrete Mathematical Methods for Modern Biology


  • Author : Raina Robeva
  • Publisher : Academic Press
  • Release Date : 2015-05-09
  • Genre: Mathematics
  • Pages : 382
  • ISBN 10 : 9780128012710

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Algebraic and Discrete Mathematical Methods for Modern Biology Excerpt :

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 Book

Mathematical Concepts and Methods in Modern Biology


  • Author : Raina Robeva
  • Publisher : Academic Press
  • Release Date : 2013-02-26
  • Genre: Mathematics
  • Pages : 372
  • ISBN 10 : 9780124157934

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Mathematical Concepts and Methods in Modern Biology Excerpt :

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 Book

Algebraic and Combinatorial Computational Biology


  • Author : Raina Robeva
  • Publisher : Academic Press
  • Release Date : 2018-10-08
  • Genre: Mathematics
  • Pages : 434
  • ISBN 10 : 9780128140697

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Algebraic and Combinatorial Computational Biology Excerpt :

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 Book

Laboratory Manual of Biomathematics


  • Author : Raina S. Robeva
  • Publisher : Academic Press
  • Release Date : 2008
  • Genre: Mathematics
  • Pages : 178
  • ISBN 10 : 9780123740229

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Laboratory Manual of Biomathematics Excerpt :

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

A Primer for Undergraduate Research Book

A Primer for Undergraduate Research


  • Author : Aaron Wootton
  • Publisher : Birkhäuser
  • Release Date : 2018-02-06
  • Genre: Mathematics
  • Pages : 313
  • ISBN 10 : 9783319660653

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A Primer for Undergraduate Research Excerpt :

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 Book

BIOMAT 2015


  • Author : Rubem P Mondaini
  • Publisher : World Scientific
  • Release Date : 2016-04-28
  • Genre: Science
  • Pages : 412
  • ISBN 10 : 9789813141926

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BIOMAT 2015 Excerpt :

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 Mo

Handbook of Discrete and Combinatorial Mathematics Book

Handbook of Discrete and Combinatorial Mathematics


  • Author : Kenneth H. Rosen
  • Publisher : CRC Press
  • Release Date : 2017-10-19
  • Genre: Mathematics
  • Pages : 1612
  • ISBN 10 : 9781584887812

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Handbook of Discrete and Combinatorial Mathematics Excerpt :

Handbook of Discrete and Combinatorial Mathematics provides a comprehensive reference volume for mathematicians, computer scientists, engineers, as well as students and reference librarians. The material is presented so that key information can be located and used quickly and easily. Each chapter includes a glossary. Individual topics are covered in sections and subsections within chapters, each of which is organized into clearly identifiable parts: definitions, facts, and examples. Examples are provided to illustrate some of the key definitions, facts, and algorithms. Some curious and entertaining facts and puzzles are also included. Readers will also find an extensive collection of biographies. This second edition is a major revision. It includes extensive additions and updates. Since the first edition appeared in 1999, many new discoveries have been made and new areas have grown in importance, which are covered in this edition.

Covid 19 Unmasked  The News  The Science  And Common Sense Book

Covid 19 Unmasked The News The Science And Common Sense


  • Author : Winfried Just
  • Publisher : World Scientific
  • Release Date : 2021-03-11
  • Genre: Medical
  • Pages : 408
  • ISBN 10 : 9789811233616

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Covid 19 Unmasked The News The Science And Common Sense Excerpt :

How can we keep up with the deluge of information about COVID-19 and tell which parts are most important and trustworthy?We read: 'Scientists recommend', 'Experts warn', 'A new model predicts'. How do scientific experts come up with their recommendations? What do their predictions really mean for us, for our friends, and our families?How can we make rational decisions? And how can we have sensible conversations about the pandemic when we disagree?These are the questions that this book is trying to address.It is written in the form of dialogues. Alice, a student of epidemiology, explains the science to three of her fellow students who have a lot of questions for her. The students have the same concerns that we all share to varying degrees: What the pandemic is doing to our health, our economy, and our cherished freedoms. In their conversations, they discover how the science relates to these questions.The book focuses on epidemiology, the science of how infections spread and how the spread can be mitigated. The science of how many infections can be prevented by certain kinds of actions. This is what we need to understand if we want to act wisely, as individuals and as a society.The author's goal is to help the reader think about the COVID-19 pandemic like an epidemiologist. About the various preventive measures, what they are trying to accomplish, what the obstacles are. About what is likely to be most effective in the long run at moderate economic and personal cost. About the likely consequences of personal decisions. About how to best protect oneself and others while allowing all of us to lead lives that are as close as possible to normal.While some chapters present slightly more advanced material than others, no scientific background is needed to follow the conversations. The technical concepts are explained in small steps and the occasional calculations in the book require only high-school mathematics.

An Introduction to Undergraduate Research in Computational and Mathematical Biology Book

An Introduction to Undergraduate Research in Computational and Mathematical Biology


  • Author : Hannah Callender Highlander
  • Publisher : Springer Nature
  • Release Date : 2020-02-17
  • Genre: Mathematics
  • Pages : 469
  • ISBN 10 : 9783030336455

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An Introduction to Undergraduate Research in Computational and Mathematical Biology Excerpt :

Speaking directly to the growing importance of research experience in undergraduate mathematics programs, this volume offers suggestions for undergraduate-appropriate research projects in mathematical and computational biology for students and their faculty mentors. The aim of each chapter is twofold: for faculty, to alleviate the challenges of identifying accessible topics and advising students through the research process; for students, to provide sufficient background, additional references, and context to excite students in these areas and to enable them to successfully undertake these problems in their research. Some of the topics discussed include: • Oscillatory behaviors present in real-world applications, from seasonal outbreaks of childhood diseases to action potentials in neurons • Simulating bacterial growth, competition, and resistance with agent-based models and laboratory experiments • Network structure and the dynamics of biological systems • Using neural networks to identify bird species from birdsong samples • Modeling fluid flow induced by the motion of pulmonary cilia Aimed at undergraduate mathematics faculty and advanced undergraduate students, this unique guide will be a valuable resource for generating fruitful research collaborations between students and faculty.

A Project Based Guide to Undergraduate Research in Mathematics Book

A Project Based Guide to Undergraduate Research in Mathematics


  • Author : Pamela E. Harris
  • Publisher : Springer Nature
  • Release Date : 2020-04-17
  • Genre: Mathematics
  • Pages : 324
  • ISBN 10 : 9783030378530

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A Project Based Guide to Undergraduate Research in Mathematics Excerpt :

This volume provides accessible and self-contained research problems designed for undergraduate student projects, and simultaneously promotes the development of sustainable undergraduate research programs. The chapters in this work span a variety of topical areas of pure and applied mathematics and mathematics education. Each chapter gives a self-contained introduction on a research topic with an emphasis on the specific tools and knowledge needed to create and maintain fruitful research programs for undergraduates. Some of the topics discussed include:• Disease modeling• Tropical curves and surfaces• Numerical semigroups• Mathematics EducationThis volume will primarily appeal to undergraduate students interested in pursuing research projects and faculty members seeking to mentor them. It may also aid students and faculty participating in independent studies and capstone projects.

Teaching and Learning Discrete Mathematics Worldwide  Curriculum and Research Book

Teaching and Learning Discrete Mathematics Worldwide Curriculum and Research


  • Author : Eric W. Hart
  • Publisher : Springer
  • Release Date : 2017-12-09
  • Genre: Education
  • Pages : 276
  • ISBN 10 : 9783319703084

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Teaching and Learning Discrete Mathematics Worldwide Curriculum and Research Excerpt :

This book discusses examples of discrete mathematics in school curricula, including in the areas of graph theory, recursion and discrete dynamical systems, combinatorics, logic, game theory, and the mathematics of fairness. In addition, it describes current discrete mathematics curriculum initiatives in several countries, and presents ongoing research, especially in the areas of combinatorial reasoning and the affective dimension of learning discrete mathematics. Discrete mathematics is the math of our time.' So declared the immediate past president of the National Council of Teachers of Mathematics, John Dossey, in 1991. Nearly 30 years later that statement is still true, although the news has not yet fully reached school mathematics curricula. Nevertheless, much valuable work has been done, and continues to be done. This volume reports on some of that work. It provides a glimpse of the state of the art in learning and teaching discrete mathematics around the world, and it makes the case once again that discrete mathematics is indeed mathematics for our time, even more so today in our digital age, and it should be included in the core curricula of all countries for all students.

An Invitation to Biomathematics Book
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An Invitation to Biomathematics


  • Author : Raina Robeva
  • Publisher : Academic Press
  • Release Date : 2007-08-28
  • Genre: Mathematics
  • Pages : 480
  • ISBN 10 : 0080550991

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An Invitation to Biomathematics Excerpt :

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

Big Data Analytics for Cyber Physical Systems Book

Big Data Analytics for Cyber Physical Systems


  • Author : Guido Dartmann
  • Publisher : Elsevier
  • Release Date : 2019-07-15
  • Genre: Law
  • Pages : 360
  • ISBN 10 : 9780128166376

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Big Data Analytics for Cyber Physical Systems Excerpt :

Cyber-physical systems (CPS) and the Internet of Things (IoT) are rapidly developing technologies that are transforming our society. The disruptive transformation of the economy and society is expected due to the data collected by these systems, rather than the technological aspects of such as networks, embedded systems, and cloud technology. However, to create value out of the data, it must be transformed into information and therefore, expertise in data analytics and machine learning is the key component of future smart systems in cities and other applications. Big Data Analytics in Cyber-Physical Systems examines sensor signal processing, IoT gateways, optimization and decision making, intelligent mobility, and implementation of machine learning algorithms in embedded systems. This book focuses on the interaction between IoT technology and the mathematical tools to evaluate the extracted data of those systems. Each chapter provides different tools and applications in order to present a broad list of data analytics and machine learning tools in multiple IoT applications. Additionally, this volume addresses the education transfer needed to incorporate these technologies into our society by examining new platforms for IoT in schools, new courses and concepts for universities and adult education on IoT and data science. Fills the gap between IoT, CPS, and mathematical modeling Numerous use cases that discuss how concepts are applied in different domains and applications Provides "best practices," "real developments", and "winning stories" to complement technical information Uniquely covers contents within the context of mathematical foundations of signal processing and machine learning in CPS and IoT

The Dynamics of Biological Systems Book

The Dynamics of Biological Systems


  • Author : Arianna Bianchi
  • Publisher : Springer Nature
  • Release Date : 2019-10-02
  • Genre: Mathematics
  • Pages : 267
  • ISBN 10 : 9783030225834

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The Dynamics of Biological Systems Excerpt :

The book presents nine mini-courses from a summer school, Dynamics of Biological Systems, held at the University of Alberta in 2016, as part of the prestigious seminar series: Séminaire de Mathématiques Supérieures (SMS). It includes new and significant contributions in the field of Dynamical Systems and their applications in Biology, Ecology, and Medicine. The chapters of this book cover a wide range of mathematical methods and biological applications. They - explain the process of mathematical modelling of biological systems with many examples, - introduce advanced methods from dynamical systems theory, - present many examples of the use of mathematical modelling to gain biological insight - discuss innovative methods for the analysis of biological processes, - contain extensive lists of references, which allow interested readers to continue the research on their own. Integrating the theory of dynamical systems with biological modelling, the book will appeal to researchers and graduate students in Applied Mathematics and Life Sciences.