一般自身免疫性疾病的数学模型

IF 1.9 3区数学 Q1 MATHEMATICS, APPLIED

Axioms Pub Date : 2023-10-30 DOI:10.3390/axioms12111021

Mikhail Kolev, Nikolay Netov, Iveta Nikolova, Irina Naskinova, Velika Kuneva, Marian Milev

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引用次数: 0

摘要

提出的论文是致力于提出和分析动力学模型描述自身免疫性疾病的发展。所提出的模型是一个非线性微分方程组，它考虑了相互作用种群的生物活性。考虑到自身免疫性疾病的主要特征。对研究领域进行了初步探讨。将建模问题离散化，近似求解。数值结果说明了自身免疫性疾病的典型结果。

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On a Mathematical Model of a General Autoimmune Disease

The proposed paper is devoted to presenting and analyzing a kinetic model describing the development of autoimmune disorders. The proposed model is a nonlinear system of differential equations that considers the biological activity of the interacting populations. The main characteristics of autoimmune diseases are taken into account. Preliminaries to the research area are provided. The modeling problem is discretized and solved approximately. The numerical results illustrate typical outcomes of autoimmune diseases.

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来源期刊

Axioms Mathematics-Algebra and Number Theory

自引率

10.00%

发文量

604

审稿时长

11 weeks

期刊介绍： Axiomatic theories in physics and in mathematics (for example, axiomatic theory of thermodynamics, and also either the axiomatic classical set theory or the axiomatic fuzzy set theory) Axiomatization, axiomatic methods, theorems, mathematical proofs Algebraic structures, field theory, group theory, topology, vector spaces Mathematical analysis Mathematical physics Mathematical logic, and non-classical logics, such as fuzzy logic, modal logic, non-monotonic logic. etc. Classical and fuzzy set theories Number theory Systems theory Classical measures, fuzzy measures, representation theory, and probability theory Graph theory Information theory Entropy Symmetry Differential equations and dynamical systems Relativity and quantum theories Mathematical chemistry Automata theory Mathematical problems of artificial intelligence Complex networks from a mathematical viewpoint Reasoning under uncertainty Interdisciplinary applications of mathematical theory.