Fractional-order model of the disease psoriasis: a control based mathematical approach

X Cao, A Datta, F Al Basir, PK Roy - Journal of Systems Science and …, 2016 - Springer
Autoimmune diseases are generated through irregular immune response of the human
body. Psoriasis is one type of autoimmune chronic skin diseases that is differentiated by T …

A model of the optimal immunotherapy of psoriasis by introducing IL-10 AND IL-22 inhibitors

PK Roy, AK Roy, EN Khailov, F Al Basir… - Journal of Biological …, 2020 - World Scientific
Psoriasis is a chronic skin disease in which the process of hyper-proliferation (excessive
division) of skin cells starts. Externally, psoriasis appears as red papules, on the surface of …

Mathematical insights on psoriasis regulation: Role of Th1 and Th2 cells

AK Roy, PK Roy, E Grigorieva - Mathematical Biosciences & …, 2017 - aimsciences.org
Psoriasis is an autoimmune disorder, characterized by hyper-proliferation of Keratinocytes
for the abnormal activation of T Cells, Dendritic Cells (DCs) and cytokine signaling …

A vivid cytokines interaction model on psoriasis with the effect of impulse biologic (TNF− α inhibitor) therapy

AK Roy, F Al Basir, PK Roy - Journal of Theoretical Biology, 2019 - Elsevier
Psoriasis is a chronic skin condition that produces plaques of condensed, scaling skin due
to excessively rapid proliferation of keratinocytes. During the disease progression …

Role of subnetworks mediated by , IL-23/IL-17 and IL-15 in a network involved in the pathogenesis of psoriasis

R Pandey, Y Al-Nuaimi, RK Mishra, SK Spurgeon… - Scientific Reports, 2021 - nature.com
Psoriasis is a chronic inflammatory skin disease clinically characterized by the appearance
of red colored, well-demarcated plaques with thickened skin and with silvery scales. Recent …

A control‐based mathematical study on psoriasis dynamics with special emphasis on and interaction network

AK Roy, M Nelson, PK Roy - Mathematical Methods in the …, 2021 - Wiley Online Library
Psoriasis is characterized by the excessive growth of keratinocytes (skin cells), which is
initiated by chaotic signaling within the immune system and irregular release of cytokines …

Modelling and finite-time stability analysis of psoriasis pathogenesis

HB Oza, R Pandey, D Roper, Y Al-Nuaimi… - … Journal of Control, 2017 - Taylor & Francis
ABSTRACT A new systems model of psoriasis is presented and analysed from the
perspective of control theory. Cytokines are treated as actuators to the plant model that …

[PDF][PDF] Chattering and its approximation in control of psoriasis treatment.

E Grigorieva, E Khailov - Discrete & Continuous Dynamical …, 2019 - researchgate.net
We consider a nonlinear system of differential equations describing a process of the
psoriasis treatment. Its phase variables are the concentrations of T-lymphocytes …

Dynamics of a network mediated by IL-36 and involved in the pathogenesis of psoriasis

S Pandey, S Tiwari, S Basu, RK Mishra… - Frontiers in Network …, 2024 - frontiersin.org
The pathogenesis of the inflammatory, chronic, and common skin disease psoriasis involves
immune cells, skin cells (keratinocytes), and the cytokines they secrete. Hyperproliferation …

Optimal control problems for a mathematical model of the treatment of psoriasis

NL Grigorenko, EV Grigorieva, PK Roi… - Computational …, 2019 - Springer
We consider a mathematical model of the treatment of psoriasis on a finite time interval. The
model consists of three nonlinear differential equations describing the interrelationships …