Mathematical Analysis of an Autoimmune Diseases Model: Kinetic Approach

Mikhail Kolev
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Mikhail Kolev: Faculty of Mathematics and Computer Science, University of Warmia and Mazury, Słoneczna 54, 10-710 Olsztyn, Poland

Mathematics, 2019, vol. 7, issue 11, 1-14

Abstract: 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.

Keywords: kinetic theory; active particles; autoimmune disease (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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