Sensibility of the quorum growth thresholds controlling local immune responses
Mathematical and Computer Modelling: An International Journal
Preface: Mathematical methods and modelling of biophysical phenomena
Mathematical and Computer Modelling: An International Journal
Petri nets approach to modeling of immune system and autism
ICARIS'12 Proceedings of the 11th international conference on Artificial Immune Systems
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We study a mathematical model of immune response by T cells where the regulatory T cells (Treg) inhibit interleukin 2 secretion. The bystander proliferation to an immune response is modelled. We consider an asymmetry reflecting that the difference between the growth and death rates can be higher for the active T cells and Tregs than for the inactive. This asymmetry leads to a better understanding of the bystander proliferation. An exposure to a pathogen results in an increased proliferation rate of the bystander T cells. If the population of the bystander T cells becomes large enough, autoimmunity can arise, eventually after a long transient period.