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ArticleOriginal scientific text

Title

Complementary analysis of the initial value problem for a system of o.d.e. modelling the immune system after vaccinations

Authors 1, 2

Affiliations

  1. Department of Mathematics, Informatics and Mechanics, Institute of Applied Mathematics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland
  2. Institute of Biocybernetics and, Biomedical Engineering, Trojdena 4, 02-109 Warszawa, Poland

Abstract

Complementary analysis of a model of the human immune system after a series of vaccinations, proposed in [7] and studied in [6], is presented. It is shown that all coordinates of every solution have at most two extremal values. The theoretical results are compared with experimental data.

Keywords

ENG
VT-complex, antibody, antigen, B-cell, plasma cell, stationary state, stability, ordinary differential equations, lymphocyte, phase space

Bibliography

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Applicationes Mathematicae
2000/27/1
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Pages:
103-111
Main language of publication
English
Received
1999-01-15
Accepted
1999-05-06
Published
2000
Exact and natural sciences