Complementary analysis of the initial value problem for a system of o.d.e. modelling the immune system after vaccinations
Applicationes Mathematicae, Tome 27 (2000) no. 1, pp. 103-111
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
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.
DOI :
10.4064/am-27-1-103-111
Keywords:
VT-complex, antibody, antigen, B-cell, plasma cell, stationary state, stability, ordinary differential equations, lymphocyte, phase space
Affiliations des auteurs :
Urszula Foryś 1 ; Norbert Żołek 1
@article{10_4064_am_27_1_103_111,
author = {Urszula Fory\'s and Norbert \.Zo{\l}ek},
title = {Complementary analysis of the initial value problem for a system of o.d.e. modelling the immune system after vaccinations},
journal = {Applicationes Mathematicae},
pages = {103--111},
year = {2000},
volume = {27},
number = {1},
doi = {10.4064/am-27-1-103-111},
zbl = {1051.92502},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/am-27-1-103-111/}
}
TY - JOUR AU - Urszula Foryś AU - Norbert Żołek TI - Complementary analysis of the initial value problem for a system of o.d.e. modelling the immune system after vaccinations JO - Applicationes Mathematicae PY - 2000 SP - 103 EP - 111 VL - 27 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4064/am-27-1-103-111/ DO - 10.4064/am-27-1-103-111 LA - en ID - 10_4064_am_27_1_103_111 ER -
%0 Journal Article %A Urszula Foryś %A Norbert Żołek %T Complementary analysis of the initial value problem for a system of o.d.e. modelling the immune system after vaccinations %J Applicationes Mathematicae %D 2000 %P 103-111 %V 27 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4064/am-27-1-103-111/ %R 10.4064/am-27-1-103-111 %G en %F 10_4064_am_27_1_103_111
Urszula Foryś; Norbert Żołek. Complementary analysis of the initial value problem for a system of o.d.e. modelling the immune system after vaccinations. Applicationes Mathematicae, Tome 27 (2000) no. 1, pp. 103-111. doi: 10.4064/am-27-1-103-111
Cité par Sources :