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Mathematical Methods in Immunology

Mathematical Methods in Immunology
Author: Jerome Kenneth Percus
Publisher: American Mathematical Soc.
Total Pages: 122
Release: 2012
Genre: Mathematics
ISBN: 0821875566

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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 Modeling of Biological Systems, Volume II

Mathematical Modeling of Biological Systems, Volume II
Author: Andreas Deutsch
Publisher: Springer Science & Business Media
Total Pages: 383
Release: 2007-10-12
Genre: Mathematics
ISBN: 081764556X

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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.


Mathematical Models of Tumor-Immune System Dynamics

Mathematical Models of Tumor-Immune System Dynamics
Author: Amina Eladdadi
Publisher: Springer
Total Pages: 282
Release: 2014-11-06
Genre: Mathematics
ISBN: 1493917935

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This collection of papers offers a broad synopsis of state-of-the-art mathematical methods used in modeling the interaction between tumors and the immune system. These papers were presented at the four-day workshop on Mathematical Models of Tumor-Immune System Dynamics held in Sydney, Australia from January 7th to January 10th, 2013. The workshop brought together applied mathematicians, biologists, and clinicians actively working in the field of cancer immunology to share their current research and to increase awareness of the innovative mathematical tools that are applicable to the growing field of cancer immunology. Recent progress in cancer immunology and advances in immunotherapy suggest that the immune system plays a fundamental role in host defense against tumors and could be utilized to prevent or cure cancer. Although theoretical and experimental studies of tumor-immune system dynamics have a long history, there are still many unanswered questions about the mechanisms that govern the interaction between the immune system and a growing tumor. The multidimensional nature of these complex interactions requires a cross-disciplinary approach to capture more realistic dynamics of the essential biology. The papers presented in this volume explore these issues and the results will be of interest to graduate students and researchers in a variety of fields within mathematical and biological sciences.


Mathematical, Computational and Experimental T Cell Immunology

Mathematical, Computational and Experimental T Cell Immunology
Author: Carmen Molina-París
Publisher: Springer Nature
Total Pages: 300
Release: 2021-01-04
Genre: Medical
ISBN: 3030572048

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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

Mathematical Models in Immunology
Author: Guriĭ Ivanovich Marchuk
Publisher: Springer
Total Pages: 386
Release: 1983
Genre: Health & Fitness
ISBN:

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Mathematical Modelling of Immune Response in Infectious Diseases

Mathematical Modelling of Immune Response in Infectious Diseases
Author: Guri I. Marchuk
Publisher: Springer Science & Business Media
Total Pages: 356
Release: 2013-04-17
Genre: Mathematics
ISBN: 9401587981

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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.


An Introduction to Mathematical Modeling in Physiology, Cell Biology, and Immunology

An Introduction to Mathematical Modeling in Physiology, Cell Biology, and Immunology
Author: James Sneyd
Publisher: American Mathematical Soc.
Total Pages: 194
Release: 2002
Genre: Medical
ISBN: 0821828169

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In many respects, biology is the new frontier for applied mathematicians. This book demonstrates the important role mathematics plays in the study of some biological problems. It introduces mathematicians to the biological sciences and provides enough mathematics for bioscientists to appreciate the utility of the modelling approach. The book presents a number of diverse topics, such as neurophysiology, cell biology, immunology, and human genetics. It examines how research is done, what mathematics is used, what the outstanding questions are, and how to enter the field. Also given is a brief historical survey of each topic, putting current research into perspective. The book is suitable for mathematicians and biologists interested in mathematical methods in biology.


Mathematical Immunology of Virus Infections

Mathematical Immunology of Virus Infections
Author: Gennady Bocharov
Publisher: Springer
Total Pages: 256
Release: 2018-06-12
Genre: Mathematics
ISBN: 3319723170

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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

Killer Cell Dynamics
Author: Dominik Wodarz
Publisher: Springer Science & Business Media
Total Pages: 226
Release: 2007-04-05
Genre: Mathematics
ISBN: 0387687335

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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 Models and Immune Cell Biology

Mathematical Models and Immune Cell Biology
Author: Carmen Molina-París
Publisher: Springer Science & Business Media
Total Pages: 413
Release: 2011-05-05
Genre: Medical
ISBN: 1441977252

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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.