On modelling of immune memory mechanisms

被引:8
作者
Ahmed, E
Hashish, AH
机构
[1] UAE Univ, Fac Sci, Dept Math, Al Ain, U Arab Emirates
[2] UAE Univ, Fac Sci, Dept Phys, Al Ain, U Arab Emirates
关键词
Mathematical Models; immune memory; extremal dynamics;
D O I
10.1078/1431-7613-00093
中图分类号
Q [生物科学];
学科分类号
07 [理学]; 0710 [生物学]; 09 [农学];
摘要
In human body, the acquired protection against illness is a biological property known as immunological memory. Different mechanisms for immunological memory are proposed and modeled. The first mechanism is the persisting antigen (Ag) where parts of the Ag are anticipated to persist on some Ag presenting cells. A novel application of the Hsu et al.'s model allows stable low Ag density equilibrium state. This state will correspond to the persisting Ag mechanism for the immune memory. The second is idiotypic and extremal mechanisms where mathematical models showed that a memory state could arise in this case. Finally, a simple model is given which shows that competition between effectors may contribute to the memory state.
引用
收藏
页码:339 / 342
页数:4
相关论文
共 10 条
[1]
DYNAMICS AND PERCOLATION IN THE IMMUNE-SYSTEM [J].
AHMED, E ;
ABDUSALAM, HA .
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1994, 33 (03) :687-693
[2]
COUPLING IN PREDATOR PREY DYNAMICS - RATIO-DEPENDENCE [J].
ARDITI, R ;
GINZBURG, LR .
JOURNAL OF THEORETICAL BIOLOGY, 1989, 139 (03) :311-326
[3]
Competitive coexistence in antiviral immunity [J].
Arnaout, RA ;
Nowak, MA .
JOURNAL OF THEORETICAL BIOLOGY, 2000, 204 (03) :431-441
[4]
Edelstein-Keshet L., 1988, MATH MODELS BIOL
[5]
HEAD D, 2000, 0009396 CONDMAT
[6]
Rich dynamics of a ratio-dependent one-prey two-predators model [J].
Hsu, SB ;
Hwang, TW ;
Kuang, Y .
JOURNAL OF MATHEMATICAL BIOLOGY, 2001, 43 (05) :377-396
[7]
Perelson AS, 1988, THEORETICAL IMMUNOLO
[8]
Roitt I.M., 1997, IMMUNOLOGY, V5th
[9]
Yates A, 2001, DISCRETE CONT DYN-B, V1, P43
[10]
On immunological memory [J].
Zinkernagel, RM ;
Bachmann, MF ;
Kundig, TM ;
Oehen, S ;
Pirchet, H ;
Hengartner, H .
ANNUAL REVIEW OF IMMUNOLOGY, 1996, 14 :333-367