Mathematical Modeling Of Complex Biological Systems
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Mathematical Modeling Of Complex Biological Systems
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Author : Abdelghani Bellouquid
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-10-10
Mathematical Modeling Of Complex Biological Systems written by Abdelghani Bellouquid 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 2007-10-10 with Science categories.
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.
Understanding Complex Biological Systems With Mathematics
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Author : Ami Radunskaya
language : en
Publisher: Springer
Release Date : 2018-10-24
Understanding Complex Biological Systems With Mathematics written by Ami Radunskaya and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-24 with Mathematics categories.
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 Models In Biology
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Author : Valeria Zazzu
language : en
Publisher: Springer
Release Date : 2015-11-26
Mathematical Models In Biology written by Valeria Zazzu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-26 with Mathematics categories.
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
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Author : Carlo Bianca
language : en
Publisher: World Scientific
Release Date : 2011
Towards A Mathematical Theory Of Complex Biological Systems written by Carlo Bianca and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
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.
Mathematical Modeling Of Biological Systems Volume Ii
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Author : Andreas Deutsch
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-10-12
Mathematical Modeling Of Biological Systems Volume Ii written by Andreas Deutsch 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 2007-10-12 with Mathematics categories.
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.
Systems Biology Mathematical Modeling And Model Analysis
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Author : Lynda Feidan
language : en
Publisher:
Release Date : 2019-06-05
Systems Biology Mathematical Modeling And Model Analysis written by Lynda Feidan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-05 with categories.
Systems biology is the mathematical and computational modeling of complex biological systems. It is an interdisciplinary field of study concerned with complex interactions within biological systems. One of the primary objectives of systems biology is to discover and model emergent properties and explore the properties of cells, tissues and organisms functioning as a system. The foundations of systems biology are control theory and cybernetics, quantitative modeling of enzyme kinetics, synergetics, simulations for the study of neurophysiology and the mathematical modeling of population dynamics. The topics covered in this extensive book deal with the core aspects of mathematical modeling and model analysis in the discipline of systems biology. For all readers who are interested in this field, the case studies included in this book will serve as an excellent guide to develop a comprehensive understanding. It aims to equip students and experts with the advanced topics and upcoming concepts in this area of study.
Computer Modeling And Simulations Of Complex Biological Systems 2nd Edition
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Author : S. Sitharama Iyengar
language : en
Publisher: CRC Press
Release Date : 1997-11-20
Computer Modeling And Simulations Of Complex Biological Systems 2nd Edition written by S. Sitharama Iyengar and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-11-20 with Medical categories.
This unique text explores the use of innovative modeling techniques in effecting a better understanding of complex diseases such as AIDS and cancer. From a way of representing the computational properties of protein-folding problems to computer simulation of bimodal neurons and networks, Computer Modeling and Simulations of Complex Biological Systems examines several modeling methodologies and integrates them across a variety of disciplines. This interdisciplinary approach suggests new ways to solve complex problems pertaining to biological systems. Written in clear and simple terms appropriate for both the novice and the experienced researcher, the book presents a step-by-step approach to the subject and includes numerous examples that explain the concepts presented in the text.
Systems Biology
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Author : Andreas Kremling
language : en
Publisher: CRC Press
Release Date : 2013-11-12
Systems Biology written by Andreas Kremling and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-12 with Mathematics categories.
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
Computer Modeling Of Complex Biological Systems
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Author : S. Sitharama Iyengar
language : en
Publisher: CRC Press
Release Date : 1984-01-13
Computer Modeling Of Complex Biological Systems written by S. Sitharama Iyengar and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-01-13 with Medical categories.
:Computer modeling of biological systems, a process of building new sets of conceptualizations, theories, and implementations is cov-ered in depth. The emphasis is on how computer modeling encom-passes three distinct areas of science (computer science, biology, and medicine) for building a framework for investigating the behavior of a complex biological system. Simulation and modeling are dis-cussed because these two factors provide the methodology for the design, development, experimentation, analysis, and evaluation of a experiment under study. Because of their high degree of modular-ity and collective complexity, computer systems such as analog, digital, or hybrid are reviewed. This presentation of computer mod-eling of biological systems delves into the study of data represen-tation (or data structures) and their transformation into an empirical model via a software program.
Mathematical Modeling Of Biological Systems
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Author : Federico Papa
language : en
Publisher:
Release Date : 2022-01-24
Mathematical Modeling Of Biological Systems written by Federico Papa and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-24 with categories.
Mathematical modeling is a powerful approach supporting the investigation of open problems in natural sciences, in particular physics, biology and medicine. Applied mathematics allows to translate the available information about real-world phenomena into mathematical objects and concepts. Mathematical models are useful descriptive tools that allow to gather the salient aspects of complex biological systems along with their fundamental governing laws, by elucidating the system behavior in time and space, also evidencing symmetry, or symmetry breaking, in geometry and morphology. Additionally, mathematical models are useful predictive tools able to reliably forecast the future system evolution or its response to specific inputs. More importantly, concerning biomedical systems, such models can even become prescriptive tools, allowing effective, sometimes optimal, intervention strategies for the treatment and control of pathological states to be planned. The application of mathematical physics, nonlinear analysis, systems and control theory to the study of biological and medical systems results in the formulation of new challenging problems for the scientific community. This Special Issue includes innovative contributions of experienced researchers in the field of mathematical modelling applied to biology and medicine.