Understanding Complex Biological Systems with Mathematics

Download Understanding Complex Biological Systems with Mathematics PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 3319980831
Total Pages : 198 pages
Book Rating : 4.3/5 (199 download)

DOWNLOAD NOW!


Book Synopsis Understanding Complex Biological Systems with Mathematics by : Ami Radunskaya

Download or read book Understanding Complex Biological Systems with Mathematics written by Ami Radunskaya and published by Springer. This book was released on 2018-10-24 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume examines a variety of biological and medical problems using mathematical models to understand complex system dynamics. Featured topics include autism spectrum disorder, ectoparasites and allogrooming, argasid ticks dynamics, super-fast nematocyst firing, cancer-immune population dynamics, and the spread of disease through populations. Applications are investigated with mathematical models using a variety of techniques in ordinary and partial differential equations, difference equations, Markov-chain models, Monte-Carlo simulations, network theory, image analysis, and immersed boundary method. Each article offers a thorough explanation of the methodologies used and numerous tables and color illustrations to explain key results. This volume is suitable for graduate students and researchers interested in current applications of mathematical models in the biosciences. The research featured in this volume began among newly-formed collaborative groups at the 2017 Women Advancing Mathematical Biology Workshop that took place at the Mathematical Biosciences Institute in Columbus, Ohio. The groups spent one intensive week working at MBI and continued their collaborations after the workshop, resulting in the work presented in this volume.

Mathematical Modeling of Complex Biological Systems

Download Mathematical Modeling of Complex Biological Systems PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0817643958
Total Pages : 194 pages
Book Rating : 4.8/5 (176 download)

DOWNLOAD NOW!


Book Synopsis Mathematical Modeling of Complex Biological Systems by : Abdelghani Bellouquid

Download or read book Mathematical Modeling of Complex Biological Systems written by Abdelghani Bellouquid and published by Springer Science & Business Media. This book was released on 2006-08-17 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the evolution of several socio-biological systems using mathematical kinetic theory. Specifically, it deals with modeling and simulations of biological systems whose dynamics follow the rules of mechanics as well as rules governed by their own ability to organize movement and biological functions. It proposes a new biological model focused on the analysis of competition between cells of an aggressive host and cells of a corresponding immune system. Proposed models are related to the generalized Boltzmann equation. The book may be used for advanced graduate courses and seminars in biological systems modeling.

Towards a Mathematical Theory of Complex Biological Systems

Download Towards a Mathematical Theory of Complex Biological Systems PDF Online Free

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

DOWNLOAD NOW!


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.

Modeling Life

Download Modeling Life PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 3319597310
Total Pages : 445 pages
Book Rating : 4.3/5 (195 download)

DOWNLOAD NOW!


Book Synopsis Modeling Life by : Alan Garfinkel

Download or read book Modeling Life written by Alan Garfinkel and published by Springer. This book was released on 2017-09-06 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops the mathematical tools essential for students in the life sciences to describe interacting systems and predict their behavior. From predator-prey populations in an ecosystem, to hormone regulation within the body, the natural world abounds in dynamical systems that affect us profoundly. Complex feedback relations and counter-intuitive responses are common in nature; this book develops the quantitative skills needed to explore these interactions. Differential equations are the natural mathematical tool for quantifying change, and are the driving force throughout this book. The use of Euler’s method makes nonlinear examples tractable and accessible to a broad spectrum of early-stage undergraduates, thus providing a practical alternative to the procedural approach of a traditional Calculus curriculum. Tools are developed within numerous, relevant examples, with an emphasis on the construction, evaluation, and interpretation of mathematical models throughout. Encountering these concepts in context, students learn not only quantitative techniques, but how to bridge between biological and mathematical ways of thinking. Examples range broadly, exploring the dynamics of neurons and the immune system, through to population dynamics and the Google PageRank algorithm. Each scenario relies only on an interest in the natural world; no biological expertise is assumed of student or instructor. Building on a single prerequisite of Precalculus, the book suits a two-quarter sequence for first or second year undergraduates, and meets the mathematical requirements of medical school entry. The later material provides opportunities for more advanced students in both mathematics and life sciences to revisit theoretical knowledge in a rich, real-world framework. In all cases, the focus is clear: how does the math help us understand the science?

Mathematical Modeling in Systems Biology

Download Mathematical Modeling in Systems Biology PDF Online Free

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

DOWNLOAD NOW!


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.

Towards a Mathematical Theory of Complex Biological Systems

Download Towards a Mathematical Theory of Complex Biological Systems PDF Online Free

Author :
Publisher : World Scientific
ISBN 13 : 9814460974
Total Pages : 228 pages
Book Rating : 4.8/5 (144 download)

DOWNLOAD NOW!


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

Download or read book Towards a Mathematical Theory of Complex Biological Systems written by C Bianca and published by World Scientific. This book was released on 2011-01-12 with total page 228 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, cellular and tissue scales. A unique perspective is also presented with a number of case studies in biological modeling. Contents:Looking for a Mathematical Theory of Biological SystemsOn the Complexity of Biological SystemsImmune System, Wound Healing Process, and System Biology:The Immune System: A Phenomenological OverviewWound Healing Process and Organ RepairFrom Levels of Biological Organization to System BiologyMathematical Tools:Mathematical Tools and StructuresMultiscale Modeling: Linking Molecular, Cellular, and Tissues ScalesApplications and Research Perspectives:A Model for the Malign Keloid Formation and Immune System CompetitionMacroscopic Models of Chemotaxis by KTAP Asymptotic MethodsLooking Ahead Readership: Researchers in mathematical modeling and biological systems. Keywords:Mathematical Theory;Biological Systems;SubsystemKey Features:Provides a new conceptual background to applied mathematicians involved in the challenging research field of living systems, and specifically biology systemsGives more accurate ODE, cellular-automata, and continuum models from the biological point of view

Using Mathematics to Understand Biological Complexity

Download Using Mathematics to Understand Biological Complexity PDF Online Free

Author :
Publisher : Springer Nature
ISBN 13 : 3030571297
Total Pages : 221 pages
Book Rating : 4.0/5 (35 download)

DOWNLOAD NOW!


Book Synopsis Using Mathematics to Understand Biological Complexity by : Rebecca Segal

Download or read book Using Mathematics to Understand Biological Complexity written by Rebecca Segal and published by Springer Nature. This book was released on 2020-12-29 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume tackles a variety of biological and medical questions using mathematical models to understand complex system dynamics. Working in collaborative teams of six, each with a senior research mentor, researchers developed new mathematical models to address questions in a range of application areas. Topics include retinal degeneration, biopolymer dynamics, the topological structure of DNA, ensemble analysis, multidrug-resistant organisms, tumor growth modeling, and geospatial modeling of malaria. The work is the result of newly formed collaborative groups begun during the Collaborative Workshop for Women in Mathematical Biology hosted by the Institute of Pure and Applied Mathematics at UCLA in June 2019. Previous workshops in this series have occurred at IMA, NIMBioS, and MBI.

Mathematical Modeling of Complex Biological Systems

Download Mathematical Modeling of Complex Biological Systems PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0817645039
Total Pages : 194 pages
Book Rating : 4.8/5 (176 download)

DOWNLOAD NOW!


Book Synopsis Mathematical Modeling of Complex Biological Systems by : Abdelghani Bellouquid

Download or read book Mathematical Modeling of Complex Biological Systems written by Abdelghani Bellouquid and published by Springer Science & Business Media. This book was released on 2007-10-10 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the evolution of several socio-biological systems using mathematical kinetic theory. Specifically, it deals with modeling and simulations of biological systems whose dynamics follow the rules of mechanics as well as rules governed by their own ability to organize movement and biological functions. It proposes a new biological model focused on the analysis of competition between cells of an aggressive host and cells of a corresponding immune system. Proposed models are related to the generalized Boltzmann equation. The book may be used for advanced graduate courses and seminars in biological systems modeling.

Dynamics of Biological Systems

Download Dynamics of Biological Systems PDF Online Free

Author :
Publisher : CRC Press
ISBN 13 : 1439853363
Total Pages : 286 pages
Book Rating : 4.4/5 (398 download)

DOWNLOAD NOW!


Book Synopsis Dynamics of Biological Systems by : Michael Small

Download or read book Dynamics of Biological Systems written by Michael Small and published by CRC Press. This book was released on 2011-08-25 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the spontaneous rapid firing of cortical neurons to the spatial diffusion of disease epidemics, biological systems exhibit rich dynamic behaviour over a vast range of time and space scales. Unifying many of these diverse phenomena, Dynamics of Biological Systems provides the computational and mathematical platform from which to understand the underlying processes of the phenomena. Through an extensive tour of various biological systems, the text introduces computational methods for simulating spatial diffusion processes in excitable media, such as the human heart, as well as mathematical tools for dealing with systems of nonlinear ordinary and partial differential equations, such as neuronal activation and disease diffusion. The mathematical models and computer simulations offer insight into the dynamics of temporal and spatial biological systems, including cardiac pacemakers, artificial electrical defibrillation, pandemics, pattern formation, flocking behaviour, the interaction of autonomous agents, and hierarchical and structured network topologies. Tools from complex systems and complex networks are also presented for dealing with real phenomenological systems. With exercises and projects in each chapter, this classroom-tested text shows students how to apply a variety of mathematical and computational techniques to model and analyze the temporal and spatial phenomena of biological systems. MATLAB® implementations of algorithms and case studies are available on the author’s website.

Understanding the Dynamics of Biological Systems

Download Understanding the Dynamics of Biological Systems PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1441979646
Total Pages : 238 pages
Book Rating : 4.4/5 (419 download)

DOWNLOAD NOW!


Book Synopsis Understanding the Dynamics of Biological Systems by : Werner Dubitzky

Download or read book Understanding the Dynamics of Biological Systems written by Werner Dubitzky and published by Springer Science & Business Media. This book was released on 2011-01-07 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended as a communication platform to bridge the cultural, conceptual, and technological gap among the key systems biology disciplines of biology, mathematics, and information technology. To support this goal, contributors were asked to adopts an approach that appeals to audiences from different backgrounds.

The Dynamics of Biological Systems

Download The Dynamics of Biological Systems PDF Online Free

Author :
Publisher : Springer Nature
ISBN 13 : 3030225836
Total Pages : 267 pages
Book Rating : 4.0/5 (32 download)

DOWNLOAD NOW!


Book Synopsis The Dynamics of Biological Systems by : Arianna Bianchi

Download or read book The Dynamics of Biological Systems written by Arianna Bianchi and published by Springer Nature. This book was released on 2019-10-02 with total page 267 pages. Available in PDF, EPUB and Kindle. Book 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.

An Introduction to Systems Biology

Download An Introduction to Systems Biology PDF Online Free

Author :
Publisher : CRC Press
ISBN 13 : 1584886420
Total Pages : 324 pages
Book Rating : 4.5/5 (848 download)

DOWNLOAD NOW!


Book Synopsis An Introduction to Systems Biology by : Uri Alon

Download or read book An Introduction to Systems Biology written by Uri Alon and published by CRC Press. This book was released on 2006-07-07 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thorough and accessible, this book presents the design principles of biological systems, and highlights the recurring circuit elements that make up biological networks. It provides a simple mathematical framework which can be used to understand and even design biological circuits. The textavoids specialist terms, focusing instead on several well-studied biological systems that concisely demonstrate key principles. An Introduction to Systems Biology: Design Principles of Biological Circuits builds a solid foundation for the intuitive understanding of general principles. It encourages the reader to ask why a system is designed in a particular way and then proceeds to answer with simplified models.

Mathematics and 21st Century Biology

Download Mathematics and 21st Century Biology PDF Online Free

Author :
Publisher : National Academies Press
ISBN 13 : 0309095840
Total Pages : 163 pages
Book Rating : 4.3/5 (9 download)

DOWNLOAD NOW!


Book Synopsis Mathematics and 21st Century Biology by : National Research Council

Download or read book Mathematics and 21st Century Biology written by National Research Council and published by National Academies Press. This book was released on 2005-07-16 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: The exponentially increasing amounts of biological data along with comparable advances in computing power are making possible the construction of quantitative, predictive biological systems models. This development could revolutionize those biology-based fields of science. To assist this transformation, the U.S. Department of Energy asked the National Research Council to recommend mathematical research activities to enable more effective use of the large amounts of existing genomic information and the structural and functional genomic information being created. The resulting study is a broad, scientifically based view of the opportunities lying at the mathematical science and biology interface. The book provides a review of past successes, an examination of opportunities at the various levels of biological systemsâ€" from molecules to ecosystemsâ€"an analysis of cross-cutting themes, and a set of recommendations to advance the mathematics-biology connection that are applicable to all agencies funding research in this area.

Systems Biology: Understanding Complex Biological Systems

Download Systems Biology: Understanding Complex Biological Systems PDF Online Free

Author :
Publisher :
ISBN 13 : 9781682867617
Total Pages : 229 pages
Book Rating : 4.8/5 (676 download)

DOWNLOAD NOW!


Book Synopsis Systems Biology: Understanding Complex Biological Systems by : Lynda Feidan

Download or read book Systems Biology: Understanding Complex Biological Systems written by Lynda Feidan and published by . This book was released on 2019-06-10 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of systems biology provides a computational and mathematical framework for the study of complex biological systems. It involves the study of interactions within biological systems. It strives to model and explore properties of cells, tissues and organisms functioning as a system. Such investigations involve cell signaling networks or metabolic networks. The study of these diverse complex systems can be approached from the multiple domains of phenomics, epigenomics, transcriptomics, metabolomics, etc. The topics included in this book on systems biology are of utmost significance and bound to provide incredible insights to readers. While understanding the long-term perspectives of the topics, it makes an effort in highlighting their impact as a modern tool for the growth of the discipline. Students, researchers, experts, biologists and all associated with the study of complex biological systems will benefit alike from this book.

Life: An Introduction to Complex Systems Biology

Download Life: An Introduction to Complex Systems Biology PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 3540326677
Total Pages : 374 pages
Book Rating : 4.5/5 (43 download)

DOWNLOAD NOW!


Book Synopsis Life: An Introduction to Complex Systems Biology by : Kunihiko Kaneko

Download or read book Life: An Introduction to Complex Systems Biology written by Kunihiko Kaneko and published by Springer. This book was released on 2006-09-14 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines life not from the reductionist point of view, but rather asks the questions: what are the universal properties of living systems, and how can one construct from there a phenomenological theory of life that leads naturally to complex processes such as reproductive cellular systems, evolution and differentiation? The presentation is relatively non-technical to appeal to a broad spectrum of students and researchers.

Mathematical Models in Biology

Download Mathematical Models in Biology PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 3319234978
Total Pages : 199 pages
Book Rating : 4.3/5 (192 download)

DOWNLOAD NOW!


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 199 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.

Towards a Mathematical Theory of Complex Biological Systems

Download Towards a Mathematical Theory of Complex Biological Systems PDF Online Free

Author :
Publisher :
ISBN 13 :
Total Pages : 208 pages
Book Rating : 4.:/5 (13 download)

DOWNLOAD NOW!


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

Download or read book Towards a Mathematical Theory of Complex Biological Systems written by Concetta Bianca and published by . This book was released on 2011 with total page 208 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, cellular and tissue scales. A unique perspective is also presented with a number of case studies in biological modeling.