Mathematical Immunology of Virus Infections

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Publisher : Springer
ISBN 13 : 3319723170
Total Pages : 256 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Mathematical Immunology of Virus Infections by : Gennady Bocharov

Download or read book Mathematical Immunology of Virus Infections written by Gennady Bocharov and published by Springer. This book was released on 2018-06-12 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Killer Cell Dynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 0387687335
Total Pages : 226 pages
Book Rating : 4.3/5 (876 download)

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Book Synopsis Killer Cell Dynamics by : Dominik Wodarz

Download or read book Killer Cell Dynamics written by Dominik Wodarz and published by Springer Science & Business Media. This book was released on 2007-04-05 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Virus Dynamics : Mathematical Principles of Immunology and Virology

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Publisher : Oxford University Press, UK
ISBN 13 : 0191588512
Total Pages : 253 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Virus Dynamics : Mathematical Principles of Immunology and Virology by : Martin Nowak

Download or read book Virus Dynamics : Mathematical Principles of Immunology and Virology written by Martin Nowak and published by Oxford University Press, UK. This book was released on 2000-11-23 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: This groundbreaking book describes the emerging field of theoretical immunology, in particular the use of mathematical models to describe the spread of infectious diseases within patients. It reveals fascinating insights into the dynamics of viral and other infections, and the interactions between infectious agents and immune responses. Structured around the examples of HIV/AIDS and hepatitis B, Nowak and May show how mathematical models can help researchers to understand the detailed dynamics of infection and the effects of antiviral therapy. Models are developed to describe the dynamics of drug resistance, immune responses, viral evolution and mutation, and to optimise the design of therapy and vaccines. - ;We know, down to the tiniest details, the molecular structure of the human immunodeficiency virus (HIV). Yet despite this tremendous accomplishment, and despite other remarkable advances in our understanding of individual viruses and cells of the immune system, we still have no agreed understanding of the ultimate course and variability of the pathogenesis of AIDS. Gaps in our understanding like these impede our efforts towards developing effective therapies and preventive vaccines. Martin Nowak and Robert M May describe the emerging field of theoretical immunology in this accessible and well- written text. Using mathematical modelling techniques, the authors set out their ideas about how populations of viruses and populations of immune system cells may interact in various circumstances, and how infectious diseases spread within patients. They explain how this approach to understanding infectious diseases can reveal insights into the dynamics of viral and other infections, and the interactions between infectious agents and immune responses. The book is structured around the examples of HIV/AIDS and Hepatitis B virus, although the approaches described will be more widely applicable. The authors use mathematical tools to uncover the detailed dynamics of the infection and the effects of antiviral therapy. Models are developed to describe the emergence of drug resistance, and the dynamics of immune responses, viral evolution, and mutation. The practical implications of this work for optimisation of the design of therapy and vaccines are discussed. The book concludes with a glance towards the future of this fascinating, and potentially highly useful, field of study. - ;... an excellent introduction to a field that has the potential to advance substantially our understanding of the complex interplay between virus and host - Nature

Mathematical Modelling of Immune Response in Infectious Diseases

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Publisher : Springer Science & Business Media
ISBN 13 : 9401587981
Total Pages : 356 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Mathematical Modelling of Immune Response in Infectious Diseases by : Guri I. Marchuk

Download or read book Mathematical Modelling of Immune Response in Infectious Diseases written by Guri I. Marchuk and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Virus Dynamics

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Publisher : Oxford University Press
ISBN 13 : 0198504179
Total Pages : 253 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis Virus Dynamics by : Martin A. Nowak

Download or read book Virus Dynamics written by Martin A. Nowak and published by Oxford University Press. This book was released on 2000-11-23 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text describes the emerging field of theoretical immunology, in particular the use of mathematical models to describe the spread of infectious diseases within patients. It reveals insights into the dynamics of viral & other infections.

Mathematical Modeling of the Immune System in Homeostasis, Infection and Disease

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Publisher : Frontiers Media SA
ISBN 13 : 2889634612
Total Pages : 278 pages
Book Rating : 4.8/5 (896 download)

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Book Synopsis Mathematical Modeling of the Immune System in Homeostasis, Infection and Disease by : Gennady Bocharov

Download or read book Mathematical Modeling of the Immune System in Homeostasis, Infection and Disease written by Gennady Bocharov and published by Frontiers Media SA. This book was released on 2020-02-24 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Methods in Immunology

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Publisher : American Mathematical Soc.
ISBN 13 : 0821875566
Total Pages : 122 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Mathematical Methods in Immunology by : Jerome Kenneth Percus

Download or read book Mathematical Methods in Immunology written by Jerome Kenneth Percus and published by American Mathematical Soc.. This book was released on 2012 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Viral Infections of Humans

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Publisher : Springer Science & Business Media
ISBN 13 : 1468447270
Total Pages : 744 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Viral Infections of Humans by : Alfred S. Evans

Download or read book Viral Infections of Humans written by Alfred S. Evans and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt: also occurs. New outbreaks of yellow fever have occurred in Colombia and Trinidad and new outbreaks of rift valley fever have occurred in Egypt. Chapter 6, Arenaviruses: The biochemical and physical properties have now been clar ified, and they show a remarkable uniformity in the various viruses constituting the group. The possibility that prenatal infection with LCM may result in hydrocephalus and chorioretinitis has been raised. Serologic surveys have suggested the existence of Lassa virus infection in Guinea, Central African Empire, Mali, Senegal, Cameroon, and Benin, in addition to earlier identification in Nigeria, Liberia, and Sierra Leone. Chapter 7, Coronaviruses: New studies have confirmed the important role of these viruses in common respiratory illnesses of children and adults. The viruses are now known to contain a single positive strand of RNA. About 50% of corona virus infections result in clinical illness. About 5% of common colds are caused by strain DC 43 in winter. Chapter 8, Cytomegalovirus: Sections on pathogenesis of CMV in relation to organ transplantation and mononucleosis, as well as sections on the risk and features of con genital infection and disease, have been expanded. There are encouraging preliminary results with a live CMV vaccine, but the questions of viral persistence and oncogenicity require further evaluation.

Mathematical, Computational and Experimental T Cell Immunology

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Publisher : Springer Nature
ISBN 13 : 3030572048
Total Pages : 300 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Mathematical, Computational and Experimental T Cell Immunology by : Carmen Molina-París

Download or read book Mathematical, Computational and Experimental T Cell Immunology written by Carmen Molina-París and published by Springer Nature. This book was released on 2021-01-04 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical, statistical, and computational methods enable multi-disciplinary approaches that catalyse discovery. Together with experimental methods, they identify key hypotheses, define measurable observables and reconcile disparate results. This volume collects a representative sample of studies in T cell immunology that illustrate the benefits of modelling-experimental collaborations and which have proven valuable or even ground-breaking. Studies include thymic selection, T cell repertoire diversity, T cell homeostasis in health and disease, T cell-mediated immune responses, T cell memory, T cell signalling and analysis of flow cytometry data sets. Contributing authors are leading scientists in the area of experimental, computational, and mathematical immunology. Each chapter includes state-of-the-art and pedagogical content, making this book accessible to readers with limited experience in T cell immunology and/or mathematical and computational modelling.

Mathematical Models in Immunology

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Publisher : Springer
ISBN 13 :
Total Pages : 386 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Models in Immunology by : Guriĭ Ivanovich Marchuk

Download or read book Mathematical Models in Immunology written by Guriĭ Ivanovich Marchuk and published by Springer. This book was released on 1983 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Models and Immune Cell Biology

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Publisher : Springer Science & Business Media
ISBN 13 : 1441977252
Total Pages : 407 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Mathematical Models and Immune Cell Biology by : Carmen Molina-París

Download or read book Mathematical Models and Immune Cell Biology written by Carmen Molina-París and published by Springer Science & Business Media. This book was released on 2011-05-05 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Biologist's Guide to Mathematical Modeling in Ecology and Evolution

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Publisher : Princeton University Press
ISBN 13 : 1400840910
Total Pages : 745 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis A Biologist's Guide to Mathematical Modeling in Ecology and Evolution by : Sarah P. Otto

Download or read book A Biologist's Guide to Mathematical Modeling in Ecology and Evolution written by Sarah P. Otto and published by Princeton University Press. This book was released on 2011-09-19 with total page 745 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thirty years ago, biologists could get by with a rudimentary grasp of mathematics and modeling. Not so today. In seeking to answer fundamental questions about how biological systems function and change over time, the modern biologist is as likely to rely on sophisticated mathematical and computer-based models as traditional fieldwork. In this book, Sarah Otto and Troy Day provide biology students with the tools necessary to both interpret models and to build their own. The book starts at an elementary level of mathematical modeling, assuming that the reader has had high school mathematics and first-year calculus. Otto and Day then gradually build in depth and complexity, from classic models in ecology and evolution to more intricate class-structured and probabilistic models. The authors provide primers with instructive exercises to introduce readers to the more advanced subjects of linear algebra and probability theory. Through examples, they describe how models have been used to understand such topics as the spread of HIV, chaos, the age structure of a country, speciation, and extinction. Ecologists and evolutionary biologists today need enough mathematical training to be able to assess the power and limits of biological models and to develop theories and models themselves. This innovative book will be an indispensable guide to the world of mathematical models for the next generation of biologists. A how-to guide for developing new mathematical models in biology Provides step-by-step recipes for constructing and analyzing models Interesting biological applications Explores classical models in ecology and evolution Questions at the end of every chapter Primers cover important mathematical topics Exercises with answers Appendixes summarize useful rules Labs and advanced material available

Mathematics for Life Science and Medicine

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Publisher : Springer Science & Business Media
ISBN 13 : 3540344268
Total Pages : 232 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Mathematics for Life Science and Medicine by : Yasuhiro Takeuchi

Download or read book Mathematics for Life Science and Medicine written by Yasuhiro Takeuchi and published by Springer Science & Business Media. This book was released on 2007-01-25 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this volume is to present and discuss the many rich properties of the dynamical systems that appear in life science and medicine. It provides a fascinating survey of the theory of dynamical systems in biology and medicine. Each chapter will serve to introduce students and scholars to the state-of-the-art in an exciting area, to present new results, and to inspire future contributions to mathematical modeling in life science and medicine.

Mathematical Modeling of Virus Infection

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Publisher :
ISBN 13 : 9789811236648
Total Pages : 178 pages
Book Rating : 4.2/5 (366 download)

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Book Synopsis Mathematical Modeling of Virus Infection by : William E. Schiesser

Download or read book Mathematical Modeling of Virus Infection written by William E. Schiesser and published by . This book was released on 1901 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Models for Communicable Diseases

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Publisher : SIAM
ISBN 13 : 1611972418
Total Pages : 279 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Mathematical Models for Communicable Diseases by : Fred Brauer

Download or read book Mathematical Models for Communicable Diseases written by Fred Brauer and published by SIAM. This book was released on 2013-02-07 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained and comprehensive guide to the mathematical modeling of disease transmission, appropriate for graduate students.

Modeling and Control of Infectious Diseases in the Host

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Publisher : Academic Press
ISBN 13 : 0128130520
Total Pages : 256 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Modeling and Control of Infectious Diseases in the Host by : Esteban A. Hernandez-Vargas

Download or read book Modeling and Control of Infectious Diseases in the Host written by Esteban A. Hernandez-Vargas and published by Academic Press. This book was released on 2019-02-15 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling and Control of Infectious Diseases in the Host: With MATLAB and R provides a holistic understanding of health and disease by presenting topics on quantitative decision-making that influence the development of drugs. The book presents modeling advances in different viral infections, dissecting detailed contributions of key players, along with their respective interactions. By combining tailored in vivo experiments and mathematical modeling approaches, the book clarifies the relative contributions of different underlying mechanisms within hosts of the most lethal viral infections, including HIV, influenza and Ebola. Illustrative examples for parameter fitting, modeling and control applications are explained using MATLAB and R. Provides a multi-scale framework to link within-host infection dynamics (individual level) to between-host transmission fitness (epidemiological level) in viral infectious diseases Includes PK/PD modeling and simulation approaches to improve efficiency and decision-making at preclinical development phases Presents a theoretic approach to schedule drug treatments

Mathematical Understanding of Infectious Disease Dynamics

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Publisher :
ISBN 13 : 9814469866
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Mathematical Understanding of Infectious Disease Dynamics by :

Download or read book Mathematical Understanding of Infectious Disease Dynamics written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: