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Mathematical Modelling of Dynamic Biological Systems

Mathematical Modelling of Dynamic Biological Systems
Author: Ludwik Finkelstein
Publisher: John Wiley & Sons
Total Pages: 376
Release: 1985-05-08
Genre: Science
ISBN:

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This volume introduces readers to the methodology of dynamic systems analysis, using mathematical modelling techniques as an aid to understanding biological phenomena. It creates an ability to appreciate current medical and biological literature, in which mathematical models are being used with increasing frequency, and provides an introduction to the more advanced techniques of systems science. Mathematical concepts are illustrated by reference to frequent biological examples. By the use of case studies drawn from physiology, the various levels of mathematical modelling which can be adopted are presented.


Modeling Dynamic Biological Systems

Modeling Dynamic Biological Systems
Author: Bruce Hannon
Publisher: Springer Science & Business Media
Total Pages: 399
Release: 2012-12-06
Genre: Science
ISBN: 1461206510

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Models help us understand the dynamics of real-world processes by using the computer to mimic the actual forces that are known or assumed to result in a system's behavior. This book does not require a substantial background in mathematics or computer science.


Mathematical Modeling of Biological Systems

Mathematical Modeling of Biological Systems
Author: Harvey J. Gold
Publisher: John Wiley & Sons
Total Pages: 392
Release: 1977
Genre: Science
ISBN:

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The modeling process - an overview. Dimension and similarity. Probability models. Dynamic processes. Interacting dynamic processes. Feedback control and stability of biological systems. Curve fiting: estimating the parameters. Computing.


Mathematical Modeling in Systems Biology

Mathematical Modeling in Systems Biology
Author: Brian P. Ingalls
Publisher: MIT Press
Total Pages: 423
Release: 2022-06-07
Genre: Science
ISBN: 0262545829

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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.


The Dynamics of Biological Systems

The Dynamics of Biological Systems
Author: Arianna Bianchi
Publisher: Springer Nature
Total Pages: 267
Release: 2019-10-02
Genre: Mathematics
ISBN: 3030225836

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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.


Dynamic Models and Control of Biological Systems

Dynamic Models and Control of Biological Systems
Author: Vadrevu Sree Hari Rao
Publisher: Springer Science & Business Media
Total Pages: 279
Release: 2009-07-30
Genre: Science
ISBN: 1441903593

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Mathematical Biology has grown at an astonishing rate and has established itself as a distinct discipline. Mathematical modeling is now being applied in every major discipline in the biological sciences. Though the field has become increasingly large and specialized, this book remains important as a text that introduces some of the exciting problems which arise in the biological sciences and gives some indication of the wide spectrum of questions that modeling can address.


Dynamic Systems Biology Modeling and Simulation

Dynamic Systems Biology Modeling and Simulation
Author: Joseph DiStefano III
Publisher: Academic Press
Total Pages: 886
Release: 2015-01-10
Genre: Science
ISBN: 0124104932

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Dynamic Systems Biology Modeling and Simuation consolidates and unifies classical and contemporary multiscale methodologies for mathematical modeling and computer simulation of dynamic biological systems – from molecular/cellular, organ-system, on up to population levels. The book pedagogy is developed as a well-annotated, systematic tutorial – with clearly spelled-out and unified nomenclature – derived from the author’s own modeling efforts, publications and teaching over half a century. Ambiguities in some concepts and tools are clarified and others are rendered more accessible and practical. The latter include novel qualitative theory and methodologies for recognizing dynamical signatures in data using structural (multicompartmental and network) models and graph theory; and analyzing structural and measurement (data) models for quantification feasibility. The level is basic-to-intermediate, with much emphasis on biomodeling from real biodata, for use in real applications. Introductory coverage of core mathematical concepts such as linear and nonlinear differential and difference equations, Laplace transforms, linear algebra, probability, statistics and stochastics topics The pertinent biology, biochemistry, biophysics or pharmacology for modeling are provided, to support understanding the amalgam of “math modeling” with life sciences Strong emphasis on quantifying as well as building and analyzing biomodels: includes methodology and computational tools for parameter identifiability and sensitivity analysis; parameter estimation from real data; model distinguishability and simplification; and practical bioexperiment design and optimization Companion website provides solutions and program code for examples and exercises using Matlab, Simulink, VisSim, SimBiology, SAAMII, AMIGO, Copasi and SBML-coded models A full set of PowerPoint slides are available from the author for teaching from his textbook. He uses them to teach a 10 week quarter upper division course at UCLA, which meets twice a week, so there are 20 lectures. They can easily be augmented or stretched for a 15 week semester course Importantly, the slides are editable, so they can be readily adapted to a lecturer’s personal style and course content needs. The lectures are based on excerpts from 12 of the first 13 chapters of DSBMS. They are designed to highlight the key course material, as a study guide and structure for students following the full text content The complete PowerPoint slide package (~25 MB) can be obtained by instructors (or prospective instructors) by emailing the author directly, at: [email protected]


Systems Biology

Systems Biology
Author: Andreas Kremling
Publisher: CRC Press
Total Pages: 379
Release: 2013-11-12
Genre: Mathematics
ISBN: 1466567902

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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 Complex Biological Systems

Mathematical Modeling of Complex Biological Systems
Author: Abdelghani Bellouquid
Publisher: Springer Science & Business Media
Total Pages: 194
Release: 2007-10-10
Genre: Science
ISBN: 0817645039

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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.