Mathematical Analysis of an Autoimmune Diseases Model: Kinetic Approach

被引：12
作者：
Kolev, Mikhail [1 ]
机构：
[1] Univ Warmia & Mazury, Fac Math & Comp Sci, Sloneczna 54, PL-10710 Olsztyn, Poland
来源：
MATHEMATICS | 2019年 / 7卷 / 11期
关键词：
kinetic theory; active particles; autoimmune disease; UNIFIED APPROACH; COMPLEX-SYSTEMS; DYNAMICS; BEHAVIOR; IMMUNE; CONSERVATION; TOLERANCE; EXISTENCE; EQUATIONS; EVOLUTION;
D O I：
10.3390/math7111024
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A new mathematical model of a general autoimmune disease is presented. Basic information about autoimmune diseases is given and illustrated with examples. The model is developed by using ideas from the kinetic theory describing individuals expressing certain functions. The modeled problem is formulated by ordinary and partial equations involving a variable for a functional state. Numerical results are presented and discussed from a medical view point.
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页数：14
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