Mathematical methods in immunology

Bibliographic Information

Mathematical methods in immunology

Jerome K. Percus

(Courant lecture notes in mathematics, 23)

American Mathematical Society, 2012 , Courant Institute of Mathematical Sciences

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Note

Includes bibliographical references and index

Contents of Works

  • The HIV pandemic
  • Basic facts of immunology
  • Quantifying the immune response (assays)
  • Modeling humoral immune responses
  • Modeling cell-mediated response
  • Control of immune response
  • Viewpoint of the virus

Description and Table of Contents

Description

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.

Table of Contents

Preface The HIV pandemic Basic facts of immunology Quantifying the immune response (assays) Modeling humoral immune responses Modeling cell-mediated response Control of immune response Viewpoint of the virus General references Index

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