A Quest Towards A Mathematical Theory Of Living Systems

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A Quest Towards a Mathematical Theory of Living Systems

Nicola Bellomo,Abdelghani Bellouquid,Livio Gibelli,Nisrine Outada
A Quest Towards a Mathematical Theory of Living Systems Book PDF

Author : Nicola Bellomo,Abdelghani Bellouquid,Livio Gibelli,Nisrine Outada
Publisher : Birkhäuser
Page : 181 pages
File Size : 54,9 Mb
Release : 2017-07-13
Category : Mathematics
ISBN : 9783319574363

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A Quest Towards a Mathematical Theory of Living Systems by Nicola Bellomo,Abdelghani Bellouquid,Livio Gibelli,Nisrine Outada Pdf

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.

Towards a Mathematical Theory of Complex Biological Systems

C Bianca,N Bellomo
Towards a Mathematical Theory of Complex Biological Systems Book PDF

Author : C Bianca,N Bellomo
Publisher : World Scientific
Page : 228 pages
File Size : 47,9 Mb
Release : 2011-01-12
Category : Mathematics
ISBN : 9789814460972

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Towards a Mathematical Theory of Complex Biological Systems by C Bianca,N Bellomo Pdf

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. Contents:Looking for a Mathematical Theory of Biological SystemsOn the Complexity of Biological SystemsImmune System, Wound Healing Process, and System Biology:The Immune System: A Phenomenological OverviewWound Healing Process and Organ RepairFrom Levels of Biological Organization to System BiologyMathematical Tools:Mathematical Tools and StructuresMultiscale Modeling: Linking Molecular, Cellular, and Tissues ScalesApplications and Research Perspectives:A Model for the Malign Keloid Formation and Immune System CompetitionMacroscopic Models of Chemotaxis by KTAP Asymptotic MethodsLooking Ahead Readership: Researchers in mathematical modeling and biological systems. Keywords:Mathematical Theory;Biological Systems;SubsystemKey Features:Provides a new conceptual background to applied mathematicians involved in the challenging research field of living systems, and specifically biology systemsGives more accurate ODE, cellular-automata, and continuum models from the biological point of view

Kinetic Theory and Swarming Tools to Modeling Complex Systems—Symmetry problems in the Science of Living Systems

Nicola Bellomo
Kinetic Theory and Swarming Tools to Modeling Complex Systems Symmetry problems in the Science of Living Systems Book PDF

Author : Nicola Bellomo
Publisher : MDPI
Page : 118 pages
File Size : 45,9 Mb
Release : 2020-05-29
Category : Business & Economics
ISBN : 9783039288793

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Kinetic Theory and Swarming Tools to Modeling Complex Systems—Symmetry problems in the Science of Living Systems by Nicola Bellomo Pdf

This MPDI book comprises a number of selected contributions to a Special Issue devoted to the modeling and simulation of living systems based on developments in kinetic mathematical tools. The focus is on a fascinating research field which cannot be tackled by the approach of the so-called hard sciences—specifically mathematics—without the invention of new methods in view of a new mathematical theory. The contents proposed by eight contributions witness the growing interest of scientists this field. The first contribution is an editorial paper which presents the motivations for studying the mathematics and physics of living systems within the framework an interdisciplinary approach, where mathematics and physics interact with specific fields of the class of systems object of modeling and simulations. The different contributions refer to economy, collective learning, cell motion, vehicular traffic, crowd dynamics, and social swarms. The key problem towards modeling consists in capturing the complexity features of living systems. All articles refer to large systems of interaction living entities and follow, towards modeling, a common rationale which consists firstly in representing the system by a probability distribution over the microscopic state of the said entities, secondly, in deriving a general mathematical structure deemed to provide the conceptual basis for the derivation of models and, finally, in implementing the said structure by models of interactions at the microscopic scale. Therefore, the modeling approach transfers the dynamics at the low scale to collective behaviors. Interactions are modeled by theoretical tools of stochastic game theory. Overall, the interested reader will find, in the contents, a forward look comprising various research perspectives and issues, followed by hints on to tackle these.

Newton to Aristotle

Casti,Karlqvist
Newton to Aristotle Book PDF

Author : Casti,Karlqvist
Publisher : Springer Science & Business Media
Page : 290 pages
File Size : 53,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781468405538

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Newton to Aristotle by Casti,Karlqvist Pdf

Beginning in 1983, the Swedish Council for Planning and Coordination of Research has organized an annual workshop devoted to some aspect of the behavior and modeling of complex systems. These workshops have been held at the Abisko Research Station of the Swedish Academy of Sciences, a remote location far above the Arctic Circle in northern Sweden. During the period of the midnight sun, from May 4-8, 1987 this exotic venue served as the gathering place for a small group of scientists, scholars, and other connoisseurs of the unknown to ponder the problem of how to model "living systems," a term singling out those systems whose principal components are living agents. The 1987 Abisko Workshop focused primarily upon the general system-theoretic concepts of process, function, and form. In particular, a main theme of the Workshop was to examine how these concepts are actually realized in biological, economic, and linguistic situations. As the Workshop unfolded, it became increasingly evident that the central concern of the participants was directed to the matter of how those quintessential aspects of living systems-metabolism, self-repair, and replication-might be brought into contact with the long-established modeling paradigms employed in physics, chemistry, and engineering.

Parallel Algorithms in Computational Science and Engineering

Ananth Grama,Ahmed H. Sameh
Parallel Algorithms in Computational Science and Engineering Book PDF

Author : Ananth Grama,Ahmed H. Sameh
Publisher : Springer Nature
Page : 421 pages
File Size : 49,9 Mb
Release : 2020-07-06
Category : Computers
ISBN : 9783030437367

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Parallel Algorithms in Computational Science and Engineering by Ananth Grama,Ahmed H. Sameh Pdf

This contributed volume highlights two areas of fundamental interest in high-performance computing: core algorithms for important kernels and computationally demanding applications. The first few chapters explore algorithms, numerical techniques, and their parallel formulations for a variety of kernels that arise in applications. The rest of the volume focuses on state-of-the-art applications from diverse domains. By structuring the volume around these two areas, it presents a comprehensive view of the application landscape for high-performance computing, while also enabling readers to develop new applications using the kernels. Readers will learn how to choose the most suitable parallel algorithms for any given application, ensuring that theory and practicality are clearly connected. Applications using these techniques are illustrated in detail, including: Computational materials science and engineering Computational cardiovascular analysis Multiscale analysis of wind turbines and turbomachinery Weather forecasting Machine learning techniques Parallel Algorithms in Computational Science and Engineering will be an ideal reference for applied mathematicians, engineers, computer scientists, and other researchers who utilize high-performance computing in their work.

Predicting Pandemics in a Globally Connected World, Volume 1

Nicola Bellomo,Mark A. J. Chaplain
Predicting Pandemics in a Globally Connected World Volume 1 Book PDF

Author : Nicola Bellomo,Mark A. J. Chaplain
Publisher : Springer Nature
Page : 314 pages
File Size : 43,7 Mb
Release : 2022-09-22
Category : Mathematics
ISBN : 9783030965624

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Predicting Pandemics in a Globally Connected World, Volume 1 by Nicola Bellomo,Mark A. J. Chaplain Pdf

This contributed volume investigates several mathematical techniques for the modeling and simulation of viral pandemics, with a special focus on COVID-19. Modeling a pandemic requires an interdisciplinary approach with other fields such as epidemiology, virology, immunology, and biology in general. Spatial dynamics and interactions are also important features to be considered, and a multiscale framework is needed at the level of individuals and the level of virus particles and the immune system. Chapters in this volume address these items, as well as offer perspectives for the future.

Crowd Dynamics, Volume 1

Livio Gibelli,Nicola Bellomo
Crowd Dynamics Volume 1 Book PDF

Author : Livio Gibelli,Nicola Bellomo
Publisher : Springer
Page : 292 pages
File Size : 40,7 Mb
Release : 2019-01-22
Category : Mathematics
ISBN : 9783030051297

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Crowd Dynamics, Volume 1 by Livio Gibelli,Nicola Bellomo Pdf

This volume explores the complex problems that arise in the modeling and simulation of crowd dynamics in order to present the state-of-the-art of this emerging field and contribute to future research activities. Experts in various areas apply their unique perspectives to specific aspects of crowd dynamics, covering the topic from multiple angles. These include a demonstration of how virtual reality may solve dilemmas in collecting empirical data; a detailed study on pedestrian movement in smoke-filled environments; a presentation of one-dimensional conservation laws with point constraints on the flux; a collection of new ideas on the modeling of crowd dynamics at the microscopic scale; and others. Applied mathematicians interested in crowd dynamics, pedestrian movement, traffic flow modeling, urban planning, and other topics will find this volume a valuable resource. Additionally, researchers in social psychology, architecture, and engineering may find this information relevant to their work.

Crowd Dynamics by Kinetic Theory Modeling

Bouchra Aylaj,Nicola Bellomo,Livio Gibelli,Damián Knopoff
Crowd Dynamics by Kinetic Theory Modeling Book PDF

Author : Bouchra Aylaj,Nicola Bellomo,Livio Gibelli,Damián Knopoff
Publisher : Springer Nature
Page : 86 pages
File Size : 49,5 Mb
Release : 2022-06-01
Category : Mathematics
ISBN : 9783031024283

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Crowd Dynamics by Kinetic Theory Modeling by Bouchra Aylaj,Nicola Bellomo,Livio Gibelli,Damián Knopoff Pdf

The contents of this brief Lecture Note are devoted to modeling, simulations, and applications with the aim of proposing a unified multiscale approach accounting for the physics and the psychology of people in crowds. The modeling approach is based on the mathematical theory of active particles, with the goal of contributing to safety problems of interest for the well-being of our society, for instance, by supporting crisis management in critical situations such as sudden evacuation dynamics induced through complex venues by incidents.

Crowd Dynamics, Volume 4

Nicola Bellomo,Livio Gibelli
Crowd Dynamics Volume 4 Book PDF

Author : Nicola Bellomo,Livio Gibelli
Publisher : Springer Nature
Page : 250 pages
File Size : 43,6 Mb
Release : 2023-12-13
Category : Mathematics
ISBN : 9783031463594

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Crowd Dynamics, Volume 4 by Nicola Bellomo,Livio Gibelli Pdf

This contributed volume explores innovative research in the modeling, simulation, and control of crowd dynamics. Chapter authors approach the topic from the perspectives of mathematics, physics, engineering, and psychology, providing a comprehensive overview of the work carried out in this challenging interdisciplinary research field. The volume begins with an overview of analytical problems related to crowd modeling. Attention is then given to the importance of considering the social and psychological factors that influence crowd behavior – such as emotions, communication, and decision-making processes – in order to create reliable models. Finally, specific features of crowd behavior are explored, including single-file traffic, passenger movement, modeling multiple groups in crowds, and the interplay between crowd dynamics and the spread of disease. Crowd Dynamics, Volume 4 is ideal for mathematicians, engineers, physicists, and other researchers working in the rapidly growing field of modeling and simulation of human crowds.

Crowd Dynamics, Volume 3

Nicola Bellomo,Livio Gibelli
Crowd Dynamics Volume 3 Book PDF

Author : Nicola Bellomo,Livio Gibelli
Publisher : Springer Nature
Page : 259 pages
File Size : 47,9 Mb
Release : 2022-02-28
Category : Mathematics
ISBN : 9783030916466

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Crowd Dynamics, Volume 3 by Nicola Bellomo,Livio Gibelli Pdf

This contributed volume explores innovative research in the modeling, simulation, and control of crowd dynamics. Chapter authors approach the topic from the perspectives of mathematics, physics, engineering, and psychology, providing a comprehensive overview of the work carried out in this challenging interdisciplinary research field. In light of the recent COVID-19 pandemic, special consideration is given to applications of crowd dynamics to the prevention of the spreading of contagious diseases. Some of the specific topics covered in this volume include: - Impact of physical distancing on the evacuation of crowds- Generalized solutions of opinion dynamics models- Crowd dynamics coupled with models for infectious disease spreading- Optimized strategies for leaders in controlling the dynamics of a crowd Crowd Dynamics, Volume 3 is ideal for mathematicians, engineers, physicists, and other researchers working in the rapidly growing field of modeling and simulation of human crowds.

Resilience and Stability of Ecological and Social Systems

István Karsai,Thomas Schmickl,George Kampis
Resilience and Stability of Ecological and Social Systems Book PDF

Author : István Karsai,Thomas Schmickl,George Kampis
Publisher : Springer Nature
Page : 165 pages
File Size : 54,7 Mb
Release : 2020-10-20
Category : Mathematics
ISBN : 9783030545604

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Resilience and Stability of Ecological and Social Systems by István Karsai,Thomas Schmickl,George Kampis Pdf

This monograph, co-authored by three longtime collaborators, aims to promote the interdisciplinary field of mathematical biology by providing accessible new approaches to study natural systems. As there is currently scarce literature on the applications of mathematical modelling for biology research, this book presents a new way of studying interactions at the level of populations, societies, ecosystems, and biomes through open-sourced modeling platforms. It offers an interdisciplinary approach to analyzing natural phenomena—for example, by showing how master equations developed to describe electrical circuits can also describe biological systems mathematically. Ultimately it promotes a method of study based on modelling and mathematical principles, facilitating collaboration between mathematicians, biologists, engineers, and other researchers to enrich knowledge of the world’s ecosystems.

Modeling Complex Living Systems

N. Bellomo
Modeling Complex Living Systems Book PDF

Author : N. Bellomo
Publisher : Springer Science & Business Media
Page : 229 pages
File Size : 48,5 Mb
Release : 2008
Category : Mathematics
ISBN : 9780817645106

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Modeling Complex Living Systems by N. Bellomo Pdf

Develops different mathematical methods and tools to model living systems. This book presents material that can be used in such real-world applications as immunology, transportation engineering, and economics. It is of interest to those involved in modeling complex social systems and living matter in general.

Towards a Mathematical Theory of Complex Biological Systems

Concetta Bianca
Towards a Mathematical Theory of Complex Biological Systems Book PDF

Author : Concetta Bianca
Publisher : Unknown
Page : 208 pages
File Size : 49,7 Mb
Release : 2011
Category : Biological systems
ISBN : OCLC:1037752668

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Towards a Mathematical Theory of Complex Biological Systems by Concetta Bianca Pdf

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.

Crowds in Equations

Maury Bertrand,Faure Sylvain
Crowds in Equations Book PDF

Author : Maury Bertrand,Faure Sylvain
Publisher : World Scientific
Page : 200 pages
File Size : 53,5 Mb
Release : 1999-04-12
Category : Mathematics
ISBN : 9781786345530

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Crowds in Equations by Maury Bertrand,Faure Sylvain Pdf

The book contains self-contained descriptions of existing models, accompanied by critical analyses of their properties both from a theoretical and practical standpoint. It aims to develop 'modeling skills' within the readers, giving them the ability to develop their own models and improve existing ones. Written in connection with a full, open source Python Library, this project also enables readers to run the simulations discussed within the text. remove

Mathematical Systems Theory in Biology, Communications, Computation and Finance

Joachim Rosenthal,David S. Gilliam
Mathematical Systems Theory in Biology Communications Computation and Finance Book PDF

Author : Joachim Rosenthal,David S. Gilliam
Publisher : Springer Science & Business Media
Page : 508 pages
File Size : 43,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9780387216966

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Mathematical Systems Theory in Biology, Communications, Computation and Finance by Joachim Rosenthal,David S. Gilliam Pdf

This volume contains survey and research articles by some of the leading researchers in mathematical systems theory - a vibrant research area in its own right. Many authors have taken special care that their articles are self-contained and accessible also to non-specialists.