Modeling Dynamic Phenomena In Molecular And Cellular Biology
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Modeling Dynamic Phenomena In Molecular And Cellular Biology
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Author : Lee A. Segel
language : en
Publisher: Cambridge University Press
Release Date : 1984-03-30
Modeling Dynamic Phenomena In Molecular And Cellular Biology written by Lee A. Segel and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-03-30 with Mathematics categories.
The dynamic development of various processes is a central problem of biology and indeed of all the sciences. The mathematics describing that development is, in general, complicated, because the models that are realistic are usually nonlinear. Consequently many biologists may not notice a possible application of theory. They may be unable to decide whether a particular model captures the essence of a system, or to appreciate that analysis of a model can reveal important aspects of biological problems and may even describe in detail how a system works. The aim of this textbook is to remedy the situation by adopting a general approach to model analysis and applying it several times to problems (drawn primarily from molecular and cellular biology) of gradually increasing biological and mathematical complexity. Although material of considerable sophistication is included, little mathematical background is required - only some exposure to elementary calculus; appendixes supply the necessary mathematics and the author concentrates on concepts rather than techniques. He also emphasizes the role of computers in giving a full picture of model behavior and complementing more qualitative analysis. Some problems suitable for computer analysis are also included. This is a class-tested textbook suitable for a one-semester course for advanced undergraduate and beginning graduate students in biology or applied mathematics. It can also be used as a source book for teachers and a reference for specialists.
Modeling Dynamic Phenomena In Molecular And Cellular Biology
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Author : Lee A. Segel
language : en
Publisher:
Release Date : 1987
Modeling Dynamic Phenomena In Molecular And Cellular Biology written by Lee A. Segel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.
Dynamical Systems For Biological Modeling
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Author : Fred Brauer
language : en
Publisher: CRC Press
Release Date : 2015-12-23
Dynamical Systems For Biological Modeling written by Fred Brauer and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-23 with Mathematics categories.
Dynamical Systems for Biological Modeling: An Introduction prepares both biology and mathematics students with the understanding and techniques necessary to undertake basic modeling of biological systems. It achieves this through the development and analysis of dynamical systems.The approach emphasizes qualitative ideas rather than explicit computa
Modeling Biomolecular Networks In Cells
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Author : Luonan Chen
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-07-05
Modeling Biomolecular Networks In Cells written by Luonan Chen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-05 with Technology & Engineering categories.
Modeling Biomolecular Networks in Cells shows how the interaction between the molecular components of basic living organisms can be modelled mathematically and the models used to create artificial biological entities within cells. Such forward engineering is a difficult task but the nonlinear dynamical methods espoused in this book simplify the biology so that it can be successfully understood and the synthesis of simple biological oscillators and rhythm-generators made feasible. Such simple units can then be co-ordinated using intercellular signal biomolecules. The formation of such man-made multicellular networks with a view to the production of biosensors, logic gates, new forms of integrated circuitry based on "gene-chips" and even biological computers is an important step in the design of faster and more flexible "electronics". The book also provides theoretical frameworks and tools with which to analyze the nonlinear dynamical phenomena which arise from the connection of building units in a biomolecular network.
Cellular Automaton Modeling Of Biological Pattern Formation
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Author : Andreas Deutsch
language : en
Publisher: Birkhäuser
Release Date : 2018-03-09
Cellular Automaton Modeling Of Biological Pattern Formation written by Andreas Deutsch and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-09 with Mathematics categories.
This text explores the use of cellular automata in modeling pattern formation in biological systems. It describes several mathematical modeling approaches utilizing cellular automata that can be used to study the dynamics of interacting cell systems both in simulation and in practice. New in this edition are chapters covering cell migration, tissue development, and cancer dynamics, as well as updated references and new research topic suggestions that reflect the rapid development of the field. The book begins with an introduction to pattern-forming principles in biology and the various mathematical modeling techniques that can be used to analyze them. Cellular automaton models are then discussed in detail for different types of cellular processes and interactions, including random movement, cell migration, adhesive cell interaction, alignment and cellular swarming, growth processes, pigment cell pattern formation, tissue development, tumor growth and invasion, and Turing-type patterns and excitable media. In the final chapter, the authors critically discuss possibilities and limitations of the cellular automaton approach in modeling various biological applications, along with future research directions. Suggestions for research projects are provided throughout the book to encourage additional engagement with the material, and an accompanying simulator is available for readers to perform their own simulations on several of the models covered in the text. QR codes are included within the text for easy access to the simulator. With its accessible presentation and interdisciplinary approach, Cellular Automaton Modeling of Biological Pattern Formation is suitable for graduate and advanced undergraduate students in mathematical biology, biological modeling, and biological computing. It will also be a valuable resource for researchers and practitioners in applied mathematics, mathematical biology, computational physics, bioengineering, and computer science. PRAISE FOR THE FIRST EDITION “An ideal guide for someone with a mathematical or physical background to start exploring biological modelling. Importantly, it will also serve as an excellent guide for experienced modellers to innovate and improve their methodologies for analysing simulation results.” —Mathematical Reviews
Artificial Life
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Author : Christopher G. Langton
language : en
Publisher: MIT Press
Release Date : 1997
Artificial Life written by Christopher G. Langton and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Computers categories.
This book brings together a series of overview articles that appeared in the first three issues of the groundbreaking journal Artificial Life.
Partial Differential Equations In Ecology
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Author : Sergei Petrovski
language : en
Publisher: MDPI
Release Date : 2021-03-17
Partial Differential Equations In Ecology written by Sergei Petrovski and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-17 with Mathematics categories.
Partial differential equations (PDEs) have been used in theoretical ecology research for more than eighty years. Nowadays, along with a variety of different mathematical techniques, they remain as an efficient, widely used modelling framework; as a matter of fact, the range of PDE applications has even become broader. This volume presents a collection of case studies where applications range from bacterial systems to population dynamics of human riots.
Trends In Nonlinear Analysis
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Author : Markus Kirkilionis
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Trends In Nonlinear Analysis written by Markus Kirkilionis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.
Applied mathematics is a central connecting link between scientific observations and their theoretical interpretation. Nonlinear analysis has surely contributed major developments which nowadays shape the face of applied mathematics. At the beginning of the millennium, all sciences are expanding at increased speed. Technological, ecological, economical and medical problem solving is a central issue of every modern society. Mathematical models help to expose fundamental structures hidden in these problems and serve as unifying tools to deepen our understanding. What are the new challenges applied mathematics has to face with the increased diversity of scientific problems? In which direction should the classical tools of nonlinear analysis be developed further? How do new available technologies influence the development of the field? How can problems be solved which have been beyond reach in former times? It is the aim of this book to explore new developments in the field by way of discussion of selected topics from nonlinear analysis.
Dynamics Of Complex Interconnected Biological Systems
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Author : Jennings
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Dynamics Of Complex Interconnected Biological Systems written by Jennings and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This volume contains the proceedings of the U.S. Australia workshop on Complex Interconnected Biological Systems held in Albany, Western Australia January 1-5, 1989. The workshop was jointly sponsored by the Department of Industry, Trade and Commerce (Australia), and the Na tional Science Foundation (USA) under the US-Australia agreement. Biological systems are typically hard to study mathematically. This is particularly so in the case of systems with strong interconnections, such as ecosystems or networks of neurons. In the past few years there have been substantial improvements in the mathematical tools available for study ing complexity. Theoretical advances include substantially improved un derstanding of the features of nonlinear systems that lead to important behaviour patterns such as chaos. Practical advances include improved modelling techniques, and deeper understanding of complexity indicators such as fractal dimension. Game theory is now playing an increasingly important role in under standing and describing evolutionary processes in interconnected systems. The strategies of individuals which affect each other's fitness may be incor porated into models as parameters. Strategies which have the property of evolutionary stabilty result from particular parameter values which may be the main feature of living determined using game theoretic methods. Since systems is that they evolve, it seems appropriate that any model used to describe such systems should have this feature as well. Evolutionary game theory should lead the way in the development of such methods.
Molecules And Cells
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Author : G. A. Chauvet
language : en
Publisher: Elsevier
Release Date : 2013-10-22
Molecules And Cells written by G. A. Chauvet and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-22 with Science categories.
Theoretical Systems in Biology: Hierarchical and Functional Integration, Volume I: Molecules and Cells covers the molecular and cellular aspects of classical biology. The book is comprised of 12 chapters, which are organized into three parts. Part I covers topics relating to the materials and methods in biological dynamics, such as macromolecular components and interactions, chemistry of cells, and biological dynamics. Part II deals with the molecular organization of living matter; this part covers the organization of biological systems and the relationship between evolution and physiology. Part III talks about issues concerning the cellular organization of living matter, such as regulation of cell function, cell growth, and cell division. The book will be of great use to biologists concerned with the theoretical systems in biology, specifically in cells and molecules.