Mathematical Biology Modeling And Analysis

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Mathematical Biology: Modeling and Analysis

Fiona Palmer
Mathematical Biology Modeling and Analysis Book PDF

Author : Fiona Palmer
Publisher : Unknown
Page : 0 pages
File Size : 41,6 Mb
Release : 2022-09-13
Category : Electronic
ISBN : 1639873546

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Mathematical Biology: Modeling and Analysis by Fiona Palmer Pdf

Mathematical biology also known as biomathematics is the sub-field of biology which uses analysis, abstractions and mathematical models to study the principles that influence structure, development and behavior of living organisms. It uses techniques and tools of mathematics to understand complex, non-linear mechanisms in biology. It aims to create models and representations of biological processes which can be used in practical as well as theoretical research. Tools and techniques of applied mathematics are commonly used for creating such models. Some of the areas of research in this field are algebraic biology, complex systems biology, computational neuroscience, abstract relational biology and evolutionary biology. This book explores all the important aspects of this field in the present day scenario. It also strives to provide a fair idea about mathematical biology and to help develop a better understanding of the latest developments within the field. In this book, using case studies and examples, constant effort has been made to make the understanding of the difficult concepts of this discipline as easy and informative as possible, for the readers.

Mathematical Biology

Avner Friedman
Mathematical Biology Book PDF

Author : Avner Friedman
Publisher : Unknown
Page : 128 pages
File Size : 40,8 Mb
Release : 2018
Category : Biology
ISBN : 1470448033

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Mathematical Biology by Avner Friedman Pdf

The fast growing field of mathematical biology addresses biological questions using mathematical models from areas such as dynamical systems, probability, statistics, and discrete mathematics. This book considers models that are described by systems of partial differential equations, and it focuses on modeling, rather than on numerical methods and simulations. The models studied are concerned with population dynamics, cancer, risk of plaque growth associated with high cholesterol, and wound healing. A rich variety of open problems demonstrates the exciting challenges and opportunities for rese.

Mathematical Biology: Modeling and Analysis

Avner Friedman
Mathematical Biology Modeling and Analysis Book PDF

Author : Avner Friedman
Publisher : American Mathematical Soc.
Page : 100 pages
File Size : 52,6 Mb
Release : 2018-06-14
Category : Biology
ISBN : 9781470447151

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Mathematical Biology: Modeling and Analysis by Avner Friedman Pdf

The fast growing field of mathematical biology addresses biological questions using mathematical models from areas such as dynamical systems, probability, statistics, and discrete mathematics. This book considers models that are described by systems of partial differential equations, and it focuses on modeling, rather than on numerical methods and simulations. The models studied are concerned with population dynamics, cancer, risk of plaque growth associated with high cholesterol, and wound healing. A rich variety of open problems demonstrates the exciting challenges and opportunities for research at the interface of mathematics and biology. This book primarily addresses students and researchers in mathematics who do not necessarily have any background in biology and who may have had little exposure to PDEs.

Introduction to Mathematical Biology

Ching Shan Chou,Avner Friedman
Introduction to Mathematical Biology Book PDF

Author : Ching Shan Chou,Avner Friedman
Publisher : Springer
Page : 172 pages
File Size : 52,6 Mb
Release : 2016-04-27
Category : Mathematics
ISBN : 9783319296388

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Introduction to Mathematical Biology by Ching Shan Chou,Avner Friedman Pdf

This book is based on a one semester course that the authors have been teaching for several years, and includes two sets of case studies. The first includes chemostat models, predator-prey interaction, competition among species, the spread of infectious diseases, and oscillations arising from bifurcations. In developing these topics, readers will also be introduced to the basic theory of ordinary differential equations, and how to work with MATLAB without having any prior programming experience. The second set of case studies were adapted from recent and current research papers to the level of the students. Topics have been selected based on public health interest. This includes the risk of atherosclerosis associated with high cholesterol levels, cancer and immune interactions, cancer therapy, and tuberculosis. Readers will experience how mathematical models and their numerical simulations can provide explanations that guide biological and biomedical research. Considered to be the undergraduate companion to the more advanced book "Mathematical Modeling of Biological Processes" (A. Friedman, C.-Y. Kao, Springer – 2014), this book is geared towards undergraduate students with little background in mathematics and no biological background.

A Course in Mathematical Biology

Gerda de Vries,Thomas Hillen,Mark Lewis,Johannes M?ller,Birgitt Sch?nfisch
A Course in Mathematical Biology Book PDF

Author : Gerda de Vries,Thomas Hillen,Mark Lewis,Johannes M?ller,Birgitt Sch?nfisch
Publisher : SIAM
Page : 307 pages
File Size : 44,5 Mb
Release : 2006-07-01
Category : Mathematics
ISBN : 9780898716122

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A Course in Mathematical Biology by Gerda de Vries,Thomas Hillen,Mark Lewis,Johannes M?ller,Birgitt Sch?nfisch Pdf

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

Mathematical Modeling in Systems Biology

Brian P. Ingalls
Mathematical Modeling in Systems Biology Book PDF

Author : Brian P. Ingalls
Publisher : MIT Press
Page : 423 pages
File Size : 41,9 Mb
Release : 2022-06-07
Category : Science
ISBN : 9780262545822

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Mathematical Modeling in Systems Biology by Brian P. Ingalls Pdf

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.

Mathematical Biology

Fiona Palmer
Mathematical Biology Book PDF

Author : Fiona Palmer
Publisher : Unknown
Page : 239 pages
File Size : 49,6 Mb
Release : 2021-12-07
Category : Mathematics
ISBN : 1647400996

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Mathematical Biology by Fiona Palmer Pdf

The branch of biology which employs mathematical models and abstractions of the living organisms is known as mathematical biology. These models and abstractions are employed for the purpose of investigating the principles which govern the development, behavior and structure of the systems. This discipline uses techniques and tools of applied mathematics for the modeling and mathematical representation of biological processes. Mathematical models are primarily used for describing systems in a quantitative manner. This facilitates the simulation of their behavior which in turn helps in predicting their properties, which might not have been visible otherwise. Some of the various areas of research under this discipline are abstract relational biology, algebraic biology, complex systems biology and evolutionary biology. While understanding the long-term perspectives of the topics, the book makes an effort in highlighting their impact as a modern tool for the growth of the discipline. The various studies that are constantly contributing towards advancing technologies and evolution of mathematical biology are examined in detail. This book will serve as a reference to a broad spectrum of readers

Mathematical Models in Biology

Valeria Zazzu,Maria Brigida Ferraro,Mario R. Guarracino
Mathematical Models in Biology Book PDF

Author : Valeria Zazzu,Maria Brigida Ferraro,Mario R. Guarracino
Publisher : Springer
Page : 199 pages
File Size : 51,6 Mb
Release : 2015-11-26
Category : Mathematics
ISBN : 9783319234977

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Mathematical Models in Biology by Valeria Zazzu,Maria Brigida Ferraro,Mario R. Guarracino Pdf

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.

Systems Biology

Andreas Kremling
Systems Biology Book PDF

Author : Andreas Kremling
Publisher : CRC Press
Page : 382 pages
File Size : 43,9 Mb
Release : 2013-11-12
Category : Mathematics
ISBN : 9781466567894

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Systems Biology by Andreas Kremling Pdf

Drawing on the latest research in the field, Systems Biology: Mathematical Modeling and Model Analysis presents many methods for modeling and analyzing biological systems, in particular cellular systems. It shows how to use predictive mathematical models to acquire and analyze knowledge about cellular systems. It also explores how the models are systematically applied in biotechnology. The first part of the book introduces biological basics, such as metabolism, signaling, gene expression, and control as well as mathematical modeling fundamentals, including deterministic models and thermodynamics. The text also discusses linear regression methods, explains the differences between linear and nonlinear regression, and illustrates how to determine input variables to improve estimation accuracy during experimental design. The second part covers intracellular processes, including enzymatic reactions, polymerization processes, and signal transduction. The author highlights the process–function–behavior sequence in cells and shows how modeling and analysis of signal transduction units play a mediating role between process and function. The third part presents theoretical methods that address the dynamics of subsystems and the behavior near a steady state. It covers techniques for determining different time scales, sensitivity analysis, structural kinetic modeling, and theoretical control engineering aspects, including a method for robust control. It also explores frequent patterns (motifs) in biochemical networks, such as the feed-forward loop in the transcriptional network of E. coli. Moving on to models that describe a large number of individual reactions, the last part looks at how these cellular models are used in biotechnology. The book also explains how graphs can illustrate the link between two components in large networks with several interactions.

Systems Biology

Andreas Kremling
Systems Biology Book PDF

Author : Andreas Kremling
Publisher : CRC Press
Page : 379 pages
File Size : 53,8 Mb
Release : 2013-11-12
Category : Mathematics
ISBN : 9781466567900

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Systems Biology by Andreas Kremling Pdf

Drawing on the latest research in the field, Systems Biology: Mathematical Modeling and Model Analysis presents many methods for modeling and analyzing biological systems, in particular cellular systems. It shows how to use predictive mathematical models to acquire and analyze knowledge about cellular systems. It also explores how the models are sy

Mathematical Modeling of Biological Processes

Avner Friedman,Chiu-Yen Kao
Mathematical Modeling of Biological Processes Book PDF

Author : Avner Friedman,Chiu-Yen Kao
Publisher : Springer
Page : 154 pages
File Size : 55,5 Mb
Release : 2014-09-19
Category : Mathematics
ISBN : 9783319083148

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Mathematical Modeling of Biological Processes by Avner Friedman,Chiu-Yen Kao Pdf

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.

Methods and Models in Mathematical Biology

Johannes Müller,Christina Kuttler
Methods and Models in Mathematical Biology Book PDF

Author : Johannes Müller,Christina Kuttler
Publisher : Springer
Page : 711 pages
File Size : 52,9 Mb
Release : 2015-08-13
Category : Mathematics
ISBN : 9783642272516

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Methods and Models in Mathematical Biology by Johannes Müller,Christina Kuttler Pdf

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.

A Biologist's Guide to Mathematical Modeling in Ecology and Evolution

Sarah P. Otto,Troy Day
A Biologist s Guide to Mathematical Modeling in Ecology and Evolution Book PDF

Author : Sarah P. Otto,Troy Day
Publisher : Princeton University Press
Page : 745 pages
File Size : 55,7 Mb
Release : 2011-09-19
Category : Science
ISBN : 9781400840915

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A Biologist's Guide to Mathematical Modeling in Ecology and Evolution by Sarah P. Otto,Troy Day Pdf

Thirty years ago, biologists could get by with a rudimentary grasp of mathematics and modeling. Not so today. In seeking to answer fundamental questions about how biological systems function and change over time, the modern biologist is as likely to rely on sophisticated mathematical and computer-based models as traditional fieldwork. In this book, Sarah Otto and Troy Day provide biology students with the tools necessary to both interpret models and to build their own. The book starts at an elementary level of mathematical modeling, assuming that the reader has had high school mathematics and first-year calculus. Otto and Day then gradually build in depth and complexity, from classic models in ecology and evolution to more intricate class-structured and probabilistic models. The authors provide primers with instructive exercises to introduce readers to the more advanced subjects of linear algebra and probability theory. Through examples, they describe how models have been used to understand such topics as the spread of HIV, chaos, the age structure of a country, speciation, and extinction. Ecologists and evolutionary biologists today need enough mathematical training to be able to assess the power and limits of biological models and to develop theories and models themselves. This innovative book will be an indispensable guide to the world of mathematical models for the next generation of biologists. A how-to guide for developing new mathematical models in biology Provides step-by-step recipes for constructing and analyzing models Interesting biological applications Explores classical models in ecology and evolution Questions at the end of every chapter Primers cover important mathematical topics Exercises with answers Appendixes summarize useful rules Labs and advanced material available

Biomathematics

J. C. Misra
Biomathematics Book PDF

Author : J. C. Misra
Publisher : World Scientific
Page : 525 pages
File Size : 48,6 Mb
Release : 2006
Category : Science
ISBN : 9789812774859

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Biomathematics by J. C. Misra Pdf

This book on modelling and simulation in biomathematics will be invaluable to researchers who are interested in the emerging areas of the field. Graduate students in related areas as well as lecturers will also find it beneficial. Some of the chapters have been written by distinguished experts in the field. Sample Chapter(s). Chapter 1: Detecting Mosaic Structures in DNA Sequence Alignments (1,349 KB). Contents: Detecting Mosaic Structures in DNA Sequence Alignments (D Husmeier); Application of Statistical Methodology and Model Design to Socio-Behaviour of HIV Transmission (J Oluwoye); A Stochastic Model Incorporating HIV Treatments for a Heterosexual Population: Impact on Threshold Conditions (R J Gallop et al.); Modeling and Identification of the Dynamics of the MF-Influenced Free-Radical Transformations in Lipid-Modeling Substances and Lipids (J Bentsman et al.); Computer Simulation of Self-Reorganization in Biological Cells (D Greenspan); Modelling Biological Gel Contraction by Cells: Consequences of Cell Traction Forces Distribution and Initial Stress (S Ramtani); Peristaltic Transport of Physiological Fluids (J C Misra & S K Pandey); Mathematical Modelling of DNA Knots and Links (J C Misra & S Mukherjee); Using Monodomain Computer Models for the Simulation of Electric Fields During Excitation Spread in Cardiac Tissue (G Plank); Flow in Tubes with Complicated Geometries with Special Application to Blood Flow in Large Arteries (G Jayaraman); Mathematical Modeling in Reproductive Biomedicine (S Sharma & S K Guha); Image Theory and Applications in Bioelectromagnetics (P D Einziger et al.); Dynamics of Humanoid Robots: Geometrical and Topological Duality (V G Ivancevic); The Effects of Body Composition on Energy Expenditure and Weight Dynamics During Hypophagia: A Setpoint Analysis (F P Kozusko); Mathematical Models in Population Dynamics and Ecology (R Diluo); Modelling in Bone Biomechanics (J C Misra & S Samanta). Readership: Graduate students, academic and researchers in biomathematics, mathematical biology, mathematical modeling, biotechnology, biocomputing, biophysics, bioengineering and mechanics."

Mathematical Models in Biology

Elizabeth Spencer Allman,John A. Rhodes
Mathematical Models in Biology Book PDF

Author : Elizabeth Spencer Allman,John A. Rhodes
Publisher : Cambridge University Press
Page : 388 pages
File Size : 50,5 Mb
Release : 2004
Category : Mathematics
ISBN : 0521525861

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Mathematical Models in Biology by Elizabeth Spencer Allman,John A. Rhodes Pdf

This introductory textbook on mathematical biology focuses on discrete models across a variety of biological subdisciplines. Biological topics treated include linear and non-linear models of populations, Markov models of molecular evolution, phylogenetic tree construction, genetics, and infectious disease models. The coverage of models of molecular evolution and phylogenetic tree construction from DNA sequence data is unique among books at this level. Computer investigations with MATLAB are incorporated throughout, in both exercises and more extensive projects, to give readers hands-on experience with the mathematical models developed. MATLAB programs accompany the text. Mathematical tools, such as matrix algebra, eigenvector analysis, and basic probability, are motivated by biological models and given self-contained developments, so that mathematical prerequisites are minimal.