On a Mathematical Model of a General Autoimmune Disease-Reference-Cited by-同舟云学术

On a Mathematical Model of a General Autoimmune Disease

Published:2023-10-30 Issue:11 Volume:12 Page:1021
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Kolev Mikhail¹^ORCID,Netov Nikolay²^ORCID,Nikolova Iveta¹,Naskinova Irina¹,Kuneva Velika³,Milev Marian²^ORCID

Affiliation:

1. Department of Mathematics, University of Architecture, Civil Engineering and Geodesy, 1 Hr. Smirnenski Blvd., 1046 Sofia, Bulgaria

2. Faculty of Economics and Business Administration, Sofia University “St. Kliment Ohridski”, 15 Tsar Osvoboditel Blvd., 1504 Sofia, Bulgaria

3. Department of Mathematics and Informatics, Faculty of Economics, Agricultural University-Plovdiv, 12 Mendeleev Blvd., 4000 Plovdiv, Bulgaria

Abstract

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.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/11/1021/pdf

Reference38 articles.

1. Bellomo, N., and Pulvirenti, M. (2000). Modeling in Applied Sciences: A Kinetic Theory Approach, Birkhauser.

2. Bianca, C., and Bellomo, N. (2011). Towards a Mathematical Theory of Multiscale Complex Biological Systems, World Scientific.

3. Khurshaid, A., Alyobi, S., Yassen, M.F., and Prathumwan, D. (2022). Computational Framework of the SVIR Epidemic Model with a Non-Linear Saturation Incidence Rate. Axioms, 11.

4. Khan, M.T., Alyobi, S., Yassen, M.F., and Prathumwan, D. (2022). A Computational Approach to a Model for HIV and the Immune System Interaction. Axioms, 11.

5. Shoenfeld, Y., Agmon-Levin, N., and Rose, N. (2015). Infection and Autoimmunity, Academic Press.

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Dynamical Analysis and Misalignment Projection Synchronization of a Novel RLCM Fractional-Order Memristor Circuit System;Axioms;2023-12-15