Modeling of psoriasis by considering drug influence: A mathematical approach with memory trace

F Özköse - Computers in Biology and Medicine, 2024 - Elsevier
Psoriasis is an immune-mediated genetic disease, characterized by its manifestation on the
skin, the joints, or both. In this paper, our primary aim is to increase awareness about the …

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 …

Optimal strategies for psoriasis treatment

E Grigorieva, E Khailov - Mathematical and Computational Applications, 2018 - mdpi.com
Within a given time interval we consider a nonlinear system of differential equations
describing psoriasis treatment. Its phase variables define the concentrations of T …

Treatment of psoriasis by interleukin-10 through impulsive control strategy: A mathematical study

AK Roy, PK Roy - Mathematical Modelling, Optimization, Analytic and …, 2020 - Springer
Psoriasis is characterized by anomalous growth of keratinocytes (skin cells), which occurs
due to abrupt signaling within immune cells and cytokines. The most significant immune …

On a third-order singular arc of optimal control in a minimization problem for a mathematical model of psoriasis treatment

EN Khailov, EV Grigorieva - Proceedings of the Steklov Institute of …, 2019 - Springer
We consider a mathematical model of psoriasis treatment on a given time interval. The
model consists of three nonlinear differential equations that describe the relationship …

Optimal Strategies of the Psoriasis Treatment by Suppressing the Interaction Between T-Lymphocytes and Dendritic Cells

EV Grigorieva, EN Khailov - … and Applications in Modeling: ICMAAM 2018 …, 2020 - Springer
This report contains the results devoted to the study of a mathematical model of psoriasis,
proposed by PK Roy. This model is formulated as a Cauchy problem for the system of three …

Об особом участке оптимального управления третьего порядка в задаче минимизации для математической модели лечения псориаза

ЕН Хайлов, ЭВ Григорьева - Труды Математического института …, 2019 - mathnet.ru
Псориаз—хроническое заболевание, поражающее значительную часть населения
земного шара. Он является аутоиммунным заболеванием с симптомами хронического …

ЗАДАЧИ ОПТИМАЛЬНОГО УПРАВЛЕНИЯ ДЛЯ МАТЕМАТИЧЕСКОЙ МОДЕЛИ ЛЕЧЕНИЯ ПСОРИАЗА

НЛ Григоренко, ЭВ Григорьева, ПК Рой… - Прикладная …, 2019 - elibrary.ru
На заданном отрезке времени рассматривается математическая модель лечения
псориаза, состоящая из трех нелинейных дифференциальных уравнений. Они …