Mathematical Modelling of Immune Response in Infectious Diseases
Author:   Guri I. Marchuk
Publisher:   Springer
Edition:   1997 ed.
Volume:   395
ISBN:  

9780792345282


Pages:   350
Publication Date:   30 April 1997
Format:   Hardback
Availability:   Awaiting stock   Availability explained
The supplier is currently out of stock of this item. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out for you.

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Mathematical Modelling of Immune Response in Infectious Diseases


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Overview

This monograph aims to present a unified approach to using mathematical models in the study of qualitative and quantitative regularities of immune response dynamics in infectious diseases within individual organisms. These mathematical models are formulated as systems of delay-differential equations. Simple mathematical models of infectious diseases, antiviral immune response and antibacterial response are developed and applied to the study of hepatitis B, influenza A, infectious bacterial pneumonia, and mixed infections. Particular attention is paid to the development of efficient computational procedures for solving the initial value problem for stiff delay-differential equations and to the parameter identification problem. Adjoint equations and the perturbation theory are used for the sensitivity analysis. This book is aimed at mathematicians and specialists in immunology and infectious diseases. It can also be used as a textbook for postgraduate students, bridging the gap between mathematics, immunology and infectious diseases research.

Full Product Details

Author:   Guri I. Marchuk
Publisher:   Springer
Imprint:   Springer
Edition:   1997 ed.
Volume:   395
Dimensions:   Width: 15.50cm , Height: 2.00cm , Length: 23.50cm
Weight:   1.510kg
ISBN:  

9780792345282


ISBN 10:   0792345282
Pages:   350
Publication Date:   30 April 1997
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Awaiting stock   Availability explained
The supplier is currently out of stock of this item. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out for you.

Table of Contents

1. General Knowledge, Hypotheses, and Problems.- 2. Survey of Mathematical Models in Immunology.- 3. Simple Mathematical Model of Infectious Disease.- 4. Mathematical Modeling of Antiviral and Antibacterial Immune Responses.- 5. Identification of Parameters of Models.- 6. Numerical Realization Algorithms for Mathematical Models.- 7. Viral Hepatitis B.- 8. Viral and Bacterial Infections of Respiratory Organs.- 9. Model of Experimental Influenza Infection.- 10. Adjoint Equations and Sensitivity Study for Mathematical Models of Infectious Diseases.

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