A mathematical model of some viral-induced autoimmune diseases

Mikhail Kolev; Iveta Nikolova

Mathematica Applicanda (2018)

  • Volume: 46, Issue: 1
  • ISSN: 1730-2668

Abstract

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 We consider a mathematical model of autoimmune disease. The model is described by a bilinear system of four integro-differential equations of Boltzmann type. We present numerical results illustrating several typical outcomes of autoimmune disease. In particular, special attention is devoted to the role of viral infections for development of autoimmune diseases.

How to cite

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Mikhail Kolev, and Iveta Nikolova. "A mathematical model of some viral-induced autoimmune diseases." Mathematica Applicanda 46.1 (2018): null. <http://eudml.org/doc/293295>.

@article{MikhailKolev2018,
abstract = { We consider a mathematical model of autoimmune disease. The model is described by a bilinear system of four integro-differential equations of Boltzmann type. We present numerical results illustrating several typical outcomes of autoimmune disease. In particular, special attention is devoted to the role of viral infections for development of autoimmune diseases.},
author = {Mikhail Kolev, Iveta Nikolova},
journal = {Mathematica Applicanda},
keywords = {immune tolerance, virus infection, effector immune cells, kinetic model},
language = {eng},
number = {1},
pages = {null},
title = {A mathematical model of some viral-induced autoimmune diseases},
url = {http://eudml.org/doc/293295},
volume = {46},
year = {2018},
}

TY - JOUR
AU - Mikhail Kolev
AU - Iveta Nikolova
TI - A mathematical model of some viral-induced autoimmune diseases
JO - Mathematica Applicanda
PY - 2018
VL - 46
IS - 1
SP - null
AB -  We consider a mathematical model of autoimmune disease. The model is described by a bilinear system of four integro-differential equations of Boltzmann type. We present numerical results illustrating several typical outcomes of autoimmune disease. In particular, special attention is devoted to the role of viral infections for development of autoimmune diseases.
LA - eng
KW - immune tolerance, virus infection, effector immune cells, kinetic model
UR - http://eudml.org/doc/293295
ER -

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