Mathematical Models In Immunology

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Mathematical Models In Immunology

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Author : Guriĭ Ivanovich Marchuk
language : en
Publisher: Springer
Release Date : 1983

Mathematical Models In Immunology written by Guriĭ Ivanovich Marchuk and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Health & Fitness categories.

Mathematical Modelling Of Immune Response In Infectious Diseases

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Author : Guri I. Marchuk
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Mathematical Modelling Of Immune Response In Infectious Diseases written by Guri I. Marchuk 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.

Beginning his work on the monograph to be published in English, this author tried to present more or less general notions of the possibilities of mathematics in the new and rapidly developing science of infectious immunology, describing the processes of an organism's defence against antigen invasions. The results presented in this monograph are based on the construc tion and application of closed models of immune response to infections which makes it possible to approach problems of optimizing the treat ment of chronic and hypertoxic forms of diseases. The author, being a mathematician, had creative long-Iasting con tacts with immunologists, geneticist, biologists, and clinicians. As far back as 1976 it resulted in the organization of a special seminar in the Computing Center of Siberian Branch of the USSR Academy of Sci ences on mathematical models in immunology. The seminar attracted the attention of a wide circle of leading specialists in various fields of science. All these made it possible to approach, from a more or less united stand point, the construction of models of immune response, the mathematical description of the models, and interpretation of results.

Mathematical Methods In Immunology

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Author : Jerome Kenneth Percus
language : en
Publisher: American Mathematical Soc.
Release Date : 2012

Mathematical Methods In Immunology written by Jerome Kenneth Percus 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 2012 with Mathematics categories.

Any organism, to survive, must use a variety of defense mechanisms. A relatively recent evolutionary development is that of the adaptive immune system, carried to a quite sophisticated level by mammals. The complexity of this system calls for its encapsulation by mathematical models, and this book aims at the associated description and analysis. In the process, it introduces tools that should be in the armory of any current or aspiring applied mathematician, in the context of, arguably, the most effective system nature has devised to protect an organism from its manifold invisible enemies.

Mathematical Models In Immunology

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Author : Gurij I. Marčuk
language : en
Publisher:
Release Date : 1983

Mathematical Models In Immunology written by Gurij I. Marčuk and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with categories.

Killer Cell Dynamics

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Author : Dominik Wodarz
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-04-05

Killer Cell Dynamics written by Dominik Wodarz 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 2007-04-05 with Mathematics categories.

This book reviews how mathematical and computational approaches can be useful to help us understand how killer T-cell responses work to fight viral infections. It also demonstrates, in a writing style that exemplifies the point, that such mathematical and computational approaches are most valuable when coupled with experimental work through interdisciplinary collaborations. Designed to be useful to immunoligists and viroligists without extensive computational background, the book covers a broad variety of topics, including both basic immunological questions and the application of these insights to the understanding and treatment of pathogenic human diseases.

Mathematical Modeling Of The Immune System In Homeostasis Infection And Disease

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Author : Gennady Bocharov
language : en
Publisher: Frontiers Media SA
Release Date : 2020-02-24

Mathematical Modeling Of The Immune System In Homeostasis Infection And Disease written by Gennady Bocharov and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-24 with categories.

The immune system provides the host organism with defense mechanisms against invading pathogens and tumor development and it plays an active role in tissue and organ regeneration. Deviations from the normal physiological functioning of the immune system can lead to the development of diseases with various pathologies including autoimmune diseases and cancer. Modern research in immunology is characterized by an unprecedented level of detail that has progressed towards viewing the immune system as numerous components that function together as a whole network. Currently, we are facing significant difficulties in analyzing the data being generated from high-throughput technologies for understanding immune system dynamics and functions, a problem known as the ‘curse of dimensionality’. As the mainstream research in mathematical immunology is based on low-resolution models, a fundamental question is how complex the mathematical models should be? To respond to this challenging issue, we advocate a hypothesis-driven approach to formulate and apply available mathematical modelling technologies for understanding the complexity of the immune system. Moreover, pure empirical analyses of immune system behavior and the system’s response to external perturbations can only produce a static description of the individual components of the immune system and the interactions between them. Shifting our view of the immune system from a static schematic perception to a dynamic multi-level system is a daunting task. It requires the development of appropriate mathematical methodologies for the holistic and quantitative analysis of multi-level molecular and cellular networks. Their coordinated behavior is dynamically controlled via distributed feedback and feedforward mechanisms which altogether orchestrate immune system functions. The molecular regulatory loops inherent to the immune system that mediate cellular behaviors, e.g. exhaustion, suppression, activation and tuning, can be analyzed using mathematical categories such as multi-stability, switches, ultra-sensitivity, distributed system, graph dynamics, or hierarchical control. GB is supported by the Russian Science Foundation (grant 18-11-00171). AM is also supported by grants from the Spanish Ministry of Economy, Industry and Competitiveness and FEDER grant no. SAF2016-75505-R, the “María de Maeztu” Programme for Units of Excellence in R&D (MDM-2014-0370) and the Russian Science Foundation (grant 18-11-00171).

Mathematical Models In Immunology

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Author : Gouri Ivanovitch Martchouk
language : en
Publisher:
Release Date : 1983

Mathematical Models In Immunology written by Gouri Ivanovitch Martchouk and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Immunology categories.

Mathematical Models And Immune Cell Biology

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Author : Carmen Molina-París
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-05-05

Mathematical Models And Immune Cell Biology written by Carmen Molina-París 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 2011-05-05 with Medical categories.

Whole new areas of immunological research are emerging from the analysis of experimental data, going beyond statistics and parameter estimation into what an applied mathematician would recognise as modelling of dynamical systems. Stochastic methods are increasingly important, because stochastic models are closer to the Brownian reality of the cellular and sub-cellular world.

Mathematical Immunology Of Virus Infections

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Author : Gennady Bocharov
language : en
Publisher: Springer
Release Date : 2018-06-12

Mathematical Immunology Of Virus Infections written by Gennady Bocharov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-12 with Mathematics categories.

This monograph concisely but thoroughly introduces the reader to the field of mathematical immunology. The book covers first basic principles of formulating a mathematical model, and an outline on data-driven parameter estimation and model selection. The authors then introduce the modeling of experimental and human infections and provide the reader with helpful exercises. The target audience primarily comprises researchers and graduate students in the field of mathematical biology who wish to be concisely introduced into mathematical immunology.

Mathematical Modeling Of The Immune Response

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Author : Daniela Prikrylova
language : en
Publisher: CRC Press
Release Date : 1992-07-27

Mathematical Modeling Of The Immune Response written by Daniela Prikrylova and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-07-27 with Medical categories.

Mathematical Modeling of the Immune Response presents a comprehensive examination of the history of development of mathematical models in immunology and discusses how these models are used by biologists. The book features the results of work done by the authors using a model showing the potential of interleukin 2 as an agent responsible for the proper control of the range of the immune response. Additional work by the authors regarding modeling autoimmunity and its treatment are discussed as well.