Towards A Mathematical Theory Of Complex Biological Systems
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Towards A Mathematical Theory Of Complex Biological Systems
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Author : C. Bianca
language : en
Publisher: World Scientific
Release Date : 2011
Towards A Mathematical Theory Of Complex Biological Systems written by C. 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 Science 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, cellular and tissue scales. A unique perspective is also presented with a number of case studies in biological modeling.
Towards A Mathematical Theory Of Complex Biological Systems
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Author : Concetta Bianca
language : en
Publisher:
Release Date : 2011
Towards A Mathematical Theory Of Complex Biological Systems written by Concetta Bianca and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Biological systems 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, cellular and tissue scales. A unique perspective is also presented with a number of case studies in biological modeling.
A Quest Towards A Mathematical Theory Of Living Systems
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Author : Nicola Bellomo
language : en
Publisher: Birkhäuser
Release Date : 2017-07-13
A Quest Towards A Mathematical Theory Of Living Systems written by Nicola Bellomo and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-13 with Mathematics categories.
This monograph aims to lay the groundwork for the design of a unified mathematical approach to the modeling and analysis of large, complex systems composed of interacting living things. Drawing on twenty years of research in various scientific fields, it explores how mathematical kinetic theory and evolutionary game theory can be used to understand the complex interplay between mathematical sciences and the dynamics of living systems. The authors hope this will contribute to the development of new tools and strategies, if not a new mathematical theory. The first chapter discusses the main features of living systems and outlines a strategy for their modeling. The following chapters then explore some of the methods needed to potentially achieve this in practice. Chapter Two provides a brief introduction to the mathematical kinetic theory of classical particles, with special emphasis on the Boltzmann equation; the Enskog equation, mean field models, and Monte Carlo methods are also briefly covered. Chapter Three uses concepts from evolutionary game theory to derive mathematical structures that are able to capture the complexity features of interactions within living systems. The book then shifts to exploring the relevant applications of these methods that can potentially be used to derive specific, usable models. The modeling of social systems in various contexts is the subject of Chapter Five, and an overview of modeling crowd dynamics is given in Chapter Six, demonstrating how this approach can be used to model the dynamics of multicellular systems. The final chapter considers some additional applications before presenting an overview of open problems. The authors then offer their own speculations on the conceptual paths that may lead to a mathematical theory of living systems hoping to motivate future research activity in the field. A truly unique contribution to the existing literature, A Quest Toward a Mathematical Theory of Living Systems is an important book that will no doubt have a significant influence on the future directions of the field. It will be of interest to mathematical biologists, systems biologists, biophysicists, and other researchers working on understanding the complexities of living systems.
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.
Biomat 2015 International Symposium On Mathematical And Computational Biology
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Author : Rubem P Mondaini
language : en
Publisher: World Scientific
Release Date : 2016-04-28
Biomat 2015 International Symposium On Mathematical And Computational Biology written by Rubem P Mondaini and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-28 with Mathematics categories.
This is a book of an international series on interdisciplinary topics of the Mathematical and Biological Sciences. The chapters are related to selected papers on the research themes presented at BIOMAT 2015 International Symposium on Mathematical and Computational Biology which was held in the Roorkee Institute of Technology, in Roorkee, Uttarakhand, India, on November 02-06, 2015. The treatment is both pedagogical and advanced in order to motivate research students to fulfill the requirements of professional practitioners. As in other volumes of this series, there are new important results on the interdisciplinary fields of mathematical and biological sciences and comprehensive reviews written by prominent scientific leaders of famous research groups.There are new results based on the state of art research in Population Dynamics, on Pattern Recognition of Biological Phenomena, the Mathematical Modelling of Infectious Diseases, Computational Biology, the Dynamic and Geometric Modelling of Biological Phenomena, the Modelling of Physiological Disorders, the Optimal Control Techniques in Mathematical Modelling of Biological Phenomena, the Hydrodynamics and Elasticity of Cell Tissues and Bacterial Growth and the Mathematical Morphology of Biological Structures. All these contributions are also strongly recommended to professionals from other scientific areas aiming to work on these interdisciplinary fields.
Cancer Modelling And Simulation
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Author : Luigi Preziosi
language : en
Publisher: CRC Press
Release Date : 2003-06-18
Cancer Modelling And Simulation written by Luigi Preziosi and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-06-18 with Mathematics categories.
Understanding how cancer tumours develop and spread is vital for finding treatments and cures. Cancer Modelling and Simulation demonstrates how mathematical modelling and computer simulation techniques are used to discover and gain insight into the dynamics of tumour development and growth. It highlights the benefits of tumour modelling, such as discovering optimal tumour therapy schedules, identifying the most promising candidates for further clinical investigation, and reducing the number of animal experiments. By examining the analytical, mathematical, and biological aspects of tumour growth and modelling, the book provides a common language and knowledge for professionals in several disciplines.
Mathematical Modelling Of The Cell Cycle Stress Response
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Author : Elahe Radmaneshfar
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-10-08
Mathematical Modelling Of The Cell Cycle Stress Response written by Elahe Radmaneshfar 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 2013-10-08 with Science categories.
The cell cycle is a sequence of biochemical events that are controlled by complex but robust molecular machinery. This enables cells to achieve accurate self-reproduction under a broad range of conditions. Environmental changes are transmitted by molecular signaling networks, which coordinate their actions with the cell cycle. This work presents the first description of two complementary computational models describing the influence of osmotic stress on the entire cell cycle of S. cerevisiae. Our models condense a vast amount of experimental evidence on the interaction of the cell cycle network components with the osmotic stress pathway. Importantly, it is only by considering the entire cell cycle that we are able to make a series of novel predictions which emerge from the coupling between the molecular components of different cell cycle phases. The model-based predictions are supported by experiments in S. cerevisiae and, moreover, have recently been observed in other eukaryotes. Furthermore our models reveal the mechanisms that emerge as a result of the interaction between the cell cycle and stress response networks.
Mathematics Developmental Biology And Tumour Growth
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Author : Fernando Giráldez
language : en
Publisher: American Mathematical Soc.
Release Date : 2009
Mathematics Developmental Biology And Tumour Growth written by Fernando Giráldez and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
Developmental biology and tumour growth are two important areas of current research where mathematics increasingly provides powerful new techniques and insights. The unfolding complexity of living structures from egg to embryo gives rise to a number of difficult quantitative problems that are ripe for mathematical models and analysis. Understanding this early development process involves the study of pattern formation, which mathematicians view through the lens of dynamical systems. This book addresses several issues in developmental biology, including Notch signalling pathway integration and mesenchymal compartment formation. Tumour growth is one of the primary challenges of cancer research. Its study requires interdisciplinary approaches involving the close collaboration of mathematicians, biologists and physicians. The summer school addressed angiogenesis, modelling issues arising in radiotherapy, and tumour growth viewed from the individual cell and the relation to a multiphase-fluid flow picture of that process. This book is suitable for researchers, graduate students, and advanced undergraduates interested in mathematical methods of developmental biology or tumour growth.
Key Concepts In Discrete Mathematics
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Author : Udayan Bhattacharya
language : en
Publisher: Educohack Press
Release Date : 2025-02-20
Key Concepts In Discrete Mathematics written by Udayan Bhattacharya and has been published by Educohack Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Science categories.
"Key Concepts in Discrete Mathematics" offers a comprehensive introduction to the fascinating realm of discrete mathematics, covering a diverse array of topics essential for students and professionals in computer science, mathematics, engineering, and related fields. Through clear explanations, illustrative examples, and engaging exercises, we provide readers with a solid foundation in discrete mathematics and its practical applications. Our book covers a wide range of topics, from fundamental concepts like sets, relations, and functions to advanced topics such as graph theory, combinatorics, and algorithm analysis. We present complex concepts in a clear and accessible manner, with detailed explanations and step-by-step examples guiding readers through each topic. We emphasize practical applications and real-world examples that demonstrate the relevance of discrete mathematics in various fields, including computer science, cryptography, network theory, and optimization. Abundant exercises and problems, ranging from basic to challenging, allow readers to practice and reinforce their understanding of key concepts and techniques. Additional online resources, including solutions to selected exercises, interactive quizzes, and supplementary materials, enhance the learning experience and provide opportunities for further exploration. Whether used as a textbook in a classroom setting or as a self-study guide, "Key Concepts in Discrete Mathematics" serves as an invaluable resource for students seeking to deepen their understanding and for educators and professionals interested in exploring this essential area of mathematics.
Recent Advances In Delay Differential And Difference Equations
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Author : Ferenc Hartung
language : en
Publisher: Springer
Release Date : 2014-08-22
Recent Advances In Delay Differential And Difference Equations written by Ferenc Hartung and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-22 with Mathematics categories.
Delay differential and difference equations serve as models for a range of processes in biology, physics, engineering and control theory. In this volume, the participants of the International Conference on Delay Differential and Difference Equations and Applications, Balatonfüred, Hungary, July 15-19, 2013 present recent research in this quickly-evolving field. The papers relate to the existence, asymptotic and oscillatory properties of the solutions; stability theory; numerical approximations; and applications to real world phenomena using deterministic and stochastic discrete and continuous dynamical systems.