Mathematical Methods in Immunology
Title | Mathematical Methods in Immunology PDF eBook |
Author | Jerome Kenneth Percus |
Publisher | American Mathematical Soc. |
Pages | 122 |
Release | 2012 |
Genre | Mathematics |
ISBN | 0821875566 |
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
Title | Mathematical Modeling of Biological Systems, Volume II PDF eBook |
Author | Andreas Deutsch |
Publisher | Springer Science & Business Media |
Pages | 383 |
Release | 2007-10-12 |
Genre | Mathematics |
ISBN | 081764556X |
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
Title | Mathematical Models of Tumor-Immune System Dynamics PDF eBook |
Author | Amina Eladdadi |
Publisher | Springer |
Pages | 282 |
Release | 2014-11-06 |
Genre | Mathematics |
ISBN | 1493917935 |
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
Title | Mathematical, Computational and Experimental T Cell Immunology PDF eBook |
Author | Carmen Molina-París |
Publisher | Springer Nature |
Pages | 300 |
Release | 2021-01-04 |
Genre | Medical |
ISBN | 3030572048 |
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
Title | Mathematical Models in Immunology PDF eBook |
Author | Guriĭ Ivanovich Marchuk |
Publisher | Springer |
Pages | 386 |
Release | 1983 |
Genre | Health & Fitness |
ISBN |
Mathematical Modelling of Immune Response in Infectious Diseases
Title | Mathematical Modelling of Immune Response in Infectious Diseases PDF eBook |
Author | Guri I. Marchuk |
Publisher | Springer Science & Business Media |
Pages | 356 |
Release | 2013-04-17 |
Genre | Mathematics |
ISBN | 9401587981 |
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
Title | An Introduction to Mathematical Modeling in Physiology, Cell Biology, and Immunology PDF eBook |
Author | James Sneyd |
Publisher | American Mathematical Soc. |
Pages | 194 |
Release | 2002 |
Genre | Medical |
ISBN | 0821828169 |
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.