Theory And Mathematical Methods In Bioinformatics

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Mathematics of Bioinformatics

Author : Matthew He
Publisher : John Wiley & Sons
ISBN 13 : 1118099524
Total Pages : 231 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Mathematics of Bioinformatics by : Matthew He

Download or read book Mathematics of Bioinformatics written by Matthew He and published by John Wiley & Sons. This book was released on 2011-03-16 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Bioinformatics: Theory, Methods, and Applications provides a comprehensive format for connecting and integrating information derived from mathematical methods and applying it to the understanding of biological sequences, structures, and networks. Each chapter is divided into a number of sections based on the bioinformatics topics and related mathematical theory and methods. Each topic of the section is comprised of the following three parts: an introduction to the biological problems in bioinformatics; a presentation of relevant topics of mathematical theory and methods to the bioinformatics problems introduced in the first part; an integrative overview that draws the connections and interfaces between bioinformatics problems/issues and mathematical theory/methods/applications.

Theory and Mathematical Methods in Bioinformatics

Author : Shiyi Shen
Publisher : Springer Science & Business Media
ISBN 13 : 3540748911
Total Pages : 450 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Theory and Mathematical Methods in Bioinformatics by : Shiyi Shen

Download or read book Theory and Mathematical Methods in Bioinformatics written by Shiyi Shen and published by Springer Science & Business Media. This book was released on 2008-01-26 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to Mathematical Methods in Bioinformatics

Author : Alexander Isaev
Publisher : Springer Science & Business Media
ISBN 13 : 9783540219736
Total Pages : 316 pages
Book Rating : 4.2/5 (197 download)

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Book Synopsis Introduction to Mathematical Methods in Bioinformatics by : Alexander Isaev

Download or read book Introduction to Mathematical Methods in Bioinformatics written by Alexander Isaev and published by Springer Science & Business Media. This book was released on 2006-09-19 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book looks at the mathematical foundations of the models currently in use. All existing books on bioinformatics are software-orientated and they concentrate on computer implementations of mathematical models of biology. This book is unique in the sense that it looks at the mathematical foundations of the models, which are crucial for correct interpretation of the outputs of the models.

Theory And Mathematical Methods For Bioinformatics, 1/e

Author : Shen
Publisher :
ISBN 13 : 9788184896251
Total Pages : pages
Book Rating : 4.8/5 (962 download)

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Book Synopsis Theory And Mathematical Methods For Bioinformatics, 1/e by : Shen

Download or read book Theory And Mathematical Methods For Bioinformatics, 1/e written by Shen and published by . This book was released on 2010-12-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. The book will be useful to students, research scientists and practitioners of bioinformatics and related fields, especially those who are interested in the underlying mathematical methods and theory. Among the methods presented in the book, 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. In particular, for proteins an in-depth exposition of secondary structure prediction methods should be a valuable tool in both molecular biology and in applications to rational drug design. The book can also be used as a textbook and for this reason most of the chapters include exercises and problems at the level of a graduate program in bioinformatics.

Pattern Discovery in Bioinformatics

Author : Laxmi Parida
Publisher : CRC Press
ISBN 13 : 1420010735
Total Pages : 512 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Pattern Discovery in Bioinformatics by : Laxmi Parida

Download or read book Pattern Discovery in Bioinformatics written by Laxmi Parida and published by CRC Press. This book was released on 2007-07-04 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: The computational methods of bioinformatics are being used more and more to process the large volume of current biological data. Promoting an understanding of the underlying biology that produces this data, Pattern Discovery in Bioinformatics: Theory and Algorithms provides the tools to study regularities in biological data. Taking a systema

Algebraic and Discrete Mathematical Methods for Modern Biology

Author : Raina Robeva
Publisher : Academic Press
ISBN 13 : 0128012714
Total Pages : 383 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Algebraic and Discrete Mathematical Methods for Modern Biology by : Raina Robeva

Download or read book Algebraic and Discrete Mathematical Methods for Modern Biology written by Raina Robeva and published by Academic Press. This book was released on 2015-05-09 with total page 383 pages. Available in PDF, EPUB and Kindle. Book 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

Towards a Mathematical Theory of Complex Biological Systems

Author : Carlo Bianca
Publisher : World Scientific
ISBN 13 : 9814340537
Total Pages : 227 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Towards a Mathematical Theory of Complex Biological Systems by : Carlo Bianca

Download or read book Towards a Mathematical Theory of Complex Biological Systems written by Carlo Bianca and published by World Scientific. This book was released on 2011 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph has the ambitious aim of developing a mathematical theory of complex biological systems with special attention to the phenomena of ageing, degeneration and repair of biological tissues under individual self-repair actions that may have good potential in medical therapy. The approach to mathematically modeling biological systems needs to tackle the additional difficulties generated by the peculiarities of living matter. These include the lack of invariance principles, abilities to express strategies for individual fitness, heterogeneous behaviors, competition up to proliferative and/or destructive actions, mutations, learning ability, evolution and many others. Applied mathematicians in the field of living systems, especially biological systems, will appreciate the special class of integro-differential equations offered here for modeling at the molecular, celular and tissue scales. A unique perspective is also presented with a number of case studies in biological modeling.

Introduction to Mathematical Methods in Bioinformatics

Author : Alexander Isaev
Publisher : Springer
ISBN 13 : 3540484264
Total Pages : 294 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Introduction to Mathematical Methods in Bioinformatics by : Alexander Isaev

Download or read book Introduction to Mathematical Methods in Bioinformatics written by Alexander Isaev and published by Springer. This book was released on 2006-10-04 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book looks at the mathematical foundations of the models currently in use. All existing books on bioinformatics are software-orientated and they concentrate on computer implementations of mathematical models of biology. This book is unique in the sense that it looks at the mathematical foundations of the models, which are crucial for correct interpretation of the outputs of the models.

Statistical Methods in Bioinformatics

Author : Warren J. Ewens
Publisher : Springer Science & Business Media
ISBN 13 : 0387400826
Total Pages : 616 pages
Book Rating : 4.3/5 (874 download)

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Book Synopsis Statistical Methods in Bioinformatics by : Warren J. Ewens

Download or read book Statistical Methods in Bioinformatics written by Warren J. Ewens and published by Springer Science & Business Media. This book was released on 2005-09-30 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in computers and biotechnology have had a profound impact on biomedical research, and as a result complex data sets can now be generated to address extremely complex biological questions. Correspondingly, advances in the statistical methods necessary to analyze such data are following closely behind the advances in data generation methods. The statistical methods required by bioinformatics present many new and difficult problems for the research community. This book provides an introduction to some of these new methods. The main biological topics treated include sequence analysis, BLAST, microarray analysis, gene finding, and the analysis of evolutionary processes. The main statistical techniques covered include hypothesis testing and estimation, Poisson processes, Markov models and Hidden Markov models, and multiple testing methods. The second edition features new chapters on microarray analysis and on statistical inference, including a discussion of ANOVA, and discussions of the statistical theory of motifs and methods based on the hypergeometric distribution. Much material has been clarified and reorganized. The book is written so as to appeal to biologists and computer scientists who wish to know more about the statistical methods of the field, as well as to trained statisticians who wish to become involved with bioinformatics. The earlier chapters introduce the concepts of probability and statistics at an elementary level, but with an emphasis on material relevant to later chapters and often not covered in standard introductory texts. Later chapters should be immediately accessible to the trained statistician. Sufficient mathematical background consists of introductory courses in calculus and linear algebra. The basic biological concepts that are used are explained, or can be understood from the context, and standard mathematical concepts are summarized in an Appendix. Problems are provided at the end of each chapter allowing the reader to develop aspects of the theory outlined in the main text. Warren J. Ewens holds the Christopher H. Brown Distinguished Professorship at the University of Pennsylvania. He is the author of two books, Population Genetics and Mathematical Population Genetics. He is a senior editor of Annals of Human Genetics and has served on the editorial boards of Theoretical Population Biology, GENETICS, Proceedings of the Royal Society B and SIAM Journal in Mathematical Biology. He is a fellow of the Royal Society and the Australian Academy of Science. Gregory R. Grant is a senior bioinformatics researcher in the University of Pennsylvania Computational Biology and Informatics Laboratory. He obtained his Ph.D. in number theory from the University of Maryland in 1995 and his Masters in Computer Science from the University of Pennsylvania in 1999. Comments on the first edition: "This book would be an ideal text for a postgraduate course...[and] is equally well suited to individual study.... I would recommend the book highly." (Biometrics) "Ewens and Grant have given us a very welcome introduction to what is behind those pretty [graphical user] interfaces." (Naturwissenschaften) "The authors do an excellent job of presenting the essence of the material without getting bogged down in mathematical details." (Journal American Statistical Association) "The authors have restructured classical material to a great extent and the new organization of the different topics is one of the outstanding services of the book." (Metrika)

Mathematical Methods and Models in Biomedicine

Author : Urszula Ledzewicz
Publisher : Springer Science & Business Media
ISBN 13 : 1461441781
Total Pages : 426 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Mathematical Methods and Models in Biomedicine by : Urszula Ledzewicz

Download or read book Mathematical Methods and Models in Biomedicine written by Urszula Ledzewicz and published by Springer Science & Business Media. This book was released on 2012-10-20 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical biomedicine is a rapidly developing interdisciplinary field of research that connects the natural and exact sciences in an attempt to respond to the modeling and simulation challenges raised by biology and medicine. There exist a large number of mathematical methods and procedures that can be brought in to meet these challenges and this book presents a palette of such tools ranging from discrete cellular automata to cell population based models described by ordinary differential equations to nonlinear partial differential equations representing complex time- and space-dependent continuous processes. Both stochastic and deterministic methods are employed to analyze biological phenomena in various temporal and spatial settings. This book illustrates the breadth and depth of research opportunities that exist in the general field of mathematical biomedicine by highlighting some of the fascinating interactions that continue to develop between the mathematical and biomedical sciences. It consists of five parts that can be read independently, but are arranged to give the reader a broader picture of specific research topics and the mathematical tools that are being applied in its modeling and analysis. The main areas covered include immune system modeling, blood vessel dynamics, cancer modeling and treatment, and epidemiology. The chapters address topics that are at the forefront of current biomedical research such as cancer stem cells, immunodominance and viral epitopes, aggressive forms of brain cancer, or gene therapy. The presentations highlight how mathematical modeling can enhance biomedical understanding and will be of interest to both the mathematical and the biomedical communities including researchers already working in the field as well as those who might consider entering it. Much of the material is presented in a way that gives graduate students and young researchers a starting point for their own work.

Mathematical Modeling in Systems Biology

Author : Brian P. Ingalls
Publisher : MIT Press
ISBN 13 : 0262545829
Total Pages : 423 pages
Book Rating : 4.2/5 (625 download)

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Book Synopsis Mathematical Modeling in Systems Biology by : Brian P. Ingalls

Download or read book Mathematical Modeling in Systems Biology written by Brian P. Ingalls and published by MIT Press. This book was released on 2022-06-07 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Sequence Comparison

Author : Kun-Mao Chao
Publisher : Springer Science & Business Media
ISBN 13 : 184800320X
Total Pages : 218 pages
Book Rating : 4.8/5 (48 download)

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Book Synopsis Sequence Comparison by : Kun-Mao Chao

Download or read book Sequence Comparison written by Kun-Mao Chao and published by Springer Science & Business Media. This book was released on 2008-11-27 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Biomolecular sequence comparison is the origin of bioinformatics. This book gives a complete in-depth treatment of the study of sequence comparison. A comprehensive introduction is followed by a focus on alignment algorithms and techniques, proceeded by a discussion of the theory. The book examines alignment methods and techniques, features a new issue of sequence comparison - the spaced seed technique, addresses several new flexible strategies for coping with various scoring schemes, and covers the theory on the significance of high-scoring segment pairs between two unalignment sequences. Useful appendices on basic concepts in molecular biology, primer in statistics and software for sequence alignment are included in this reader-friendly text, as well as chapter-ending exercise and research questions A state-of-the-art study of sequence alignment and homology search, this is an ideal reference for advanced students studying bioinformatics and will appeal to biologists who wish to know how to use homology search tools.

Mathematical Modeling of Biological Processes

Author : Avner Friedman
Publisher : Springer
ISBN 13 : 3319083147
Total Pages : 152 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Mathematical Modeling of Biological Processes by : Avner Friedman

Download or read book Mathematical Modeling of Biological Processes written by Avner Friedman and published by Springer. This book was released on 2014-09-19 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book on mathematical modeling of biological processes includes a wide selection of biological topics that demonstrate the power of mathematics and computational codes in setting up biological processes with a rigorous and predictive framework. Topics include: enzyme dynamics, spread of disease, harvesting bacteria, competition among live species, neuronal oscillations, transport of neurofilaments in axon, cancer and cancer therapy, and granulomas. Complete with a description of the biological background and biological question that requires the use of mathematics, this book is developed for graduate students and advanced undergraduate students with only basic knowledge of ordinary differential equations and partial differential equations; background in biology is not required. Students will gain knowledge on how to program with MATLAB without previous programming experience and how to use codes in order to test biological hypothesis.

Discrete and Topological Models in Molecular Biology

Author : Nataša Jonoska
Publisher : Springer Science & Business Media
ISBN 13 : 3642401937
Total Pages : 522 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Discrete and Topological Models in Molecular Biology by : Nataša Jonoska

Download or read book Discrete and Topological Models in Molecular Biology written by Nataša Jonoska and published by Springer Science & Business Media. This book was released on 2013-12-23 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theoretical tools and insights from discrete mathematics, theoretical computer science, and topology now play essential roles in our understanding of vital biomolecular processes. The related methods are now employed in various fields of mathematical biology as instruments to "zoom in" on processes at a molecular level. This book contains expository chapters on how contemporary models from discrete mathematics – in domains such as algebra, combinatorics, and graph and knot theories – can provide perspective on biomolecular problems ranging from data analysis, molecular and gene arrangements and structures, and knotted DNA embeddings via spatial graph models to the dynamics and kinetics of molecular interactions. The contributing authors are among the leading scientists in this field and the book is a reference for researchers in mathematics and theoretical computer science who are engaged with modeling molecular and biological phenomena using discrete methods. It may also serve as a guide and supplement for graduate courses in mathematical biology or bioinformatics, introducing nontraditional aspects of mathematical biology.

Introduction to Bioinformatics

Author : Anna Tramontano
Publisher : CRC Press
ISBN 13 : 1420010883
Total Pages : 192 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Introduction to Bioinformatics by : Anna Tramontano

Download or read book Introduction to Bioinformatics written by Anna Tramontano and published by CRC Press. This book was released on 2018-10-03 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Guiding readers from the elucidation and analysis of a genomic sequence to the prediction of a protein structure and the identification of the molecular function, Introduction to Bioinformatics describes the rationale and limitations of the bioinformatics methods and tools that can help solve biological problems. Requiring only a limited mathematical and statistical background, the book shows how to efficiently apply these approaches to biological data and evaluate the resulting information. The author, an expert bioinformatics researcher, first addresses the ways of storing and retrieving the enormous amount of biological data produced every day and the methods of decrypting the information encoded by a genome. She then covers the tools that can detect and exploit the evolutionary and functional relationships among biological elements. Subsequent chapters illustrate how to predict the three-dimensional structure of a protein. The book concludes with a discussion of the future of bioinformatics. Even though the future will undoubtedly offer new tools for tackling problems, most of the fundamental aspects of bioinformatics will not change. This resource provides the essential information to understand bioinformatics methods, ultimately facilitating in the solution of biological problems.

Mathematical Modeling of Biological Systems, Volume II

Author : Andreas Deutsch
Publisher : Springer Science & Business Media
ISBN 13 : 081764556X
Total Pages : 383 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Mathematical Modeling of Biological Systems, Volume II by : Andreas Deutsch

Download or read book Mathematical Modeling of Biological Systems, Volume II written by Andreas Deutsch and published by Springer Science & Business Media. This book was released on 2007-10-12 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Models in Biology

Author : Valeria Zazzu
Publisher : Springer
ISBN 13 : 3319234978
Total Pages : 207 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Mathematical Models in Biology by : Valeria Zazzu

Download or read book Mathematical Models in Biology written by Valeria Zazzu and published by Springer. This book was released on 2015-11-26 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an exciting collection of contributions based on the workshop “Bringing Maths to Life” held October 27-29, 2014 in Naples, Italy. The state-of-the art research in biology and the statistical and analytical challenges facing huge masses of data collection are treated in this Work. Specific topics explored in depth surround the sessions and special invited sessions of the workshop and include genetic variability via differential expression, molecular dynamics and modeling, complex biological systems viewed from quantitative models, and microscopy images processing, to name several. In depth discussions of the mathematical analysis required to extract insights from complex bodies of biological datasets, to aid development in the field novel algorithms, methods and software tools for genetic variability, molecular dynamics, and complex biological systems are presented in this book. Researchers and graduate students in biology, life science, and mathematics/statistics will find the content useful as it addresses existing challenges in identifying the gaps between mathematical modeling and biological research. The shared solutions will aid and promote further collaboration between life sciences and mathematics.