T-cell proliferation on immunopathogenic mechanism of psoriasis: a control based theoretical approach

• Autorzy: Datta A. , Roy P. K.
• Języki publikacji: EN

Abstrakty

EN

Psoriasis vulgaris is a common, worldwide autoimmune skin disorder characterized by T-cells mediated hyperproliferation of keratinocytes. The feature of T-cells arbitrated psoriatic lesions is the epidermal infiltration of oligoclonal CD8⁺ T-cells and also of CD4⁺ T-cells in the dermis. Psoriatic scratches are identified by red and enlarged lesions along with silver whitish scales. In this article, we propose a mathematical model for psoriasis, involving a set of differential equations, concerning T-cells, dendritic cells and epidermal keratinocytes. We introduce T-cell proliferation in the system, where T-cells are generated through expansion of accessible CD4⁺ T-cells from precursors. We are interested in observing how the cell biological system develops through T-cell proliferation in presence of control with respect to T-cells and keratinocytes. We study the model in both implicit and explicit ways and measure the effect of drug on the system through impulsive drug therapy.

Słowa kluczowe

EN

T-cells; dendritic cells; keratinocytes; dermis; epidermis; cytokines; T-cell proliferation; drug efficacy; optimal control

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2013
• Tom: Vol. 42, no. 2
• Strony: 365--386
• Opis fizyczny: Bibliogr. 38 poz., wykr.

Twórcy

autor

Datta A.

• Centre for Mathematical Biology and Ecology Department of Mathematics, Jadavpur University Kolkata - 700032, India

autor

Roy P. K.

• Centre for Mathematical Biology and Ecology Department of Mathematics, Jadavpur University Kolkata - 700032, India

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