Introducing MSC Therapy to Inhibit $$Th_1$$ and $$Th_{17}$$ Mediated Cytokines: A Mathematical Study to Regulate Psoriasis

In this research, we have formulated a mathematical model by employing a set of nonlinear ordinary differential equations (ODEs) to explain the dynamics of the disease psoriasis. As primary populations, we have considered the densities of two major sub-types of T-cells ( $$Th_1$$ and $$Th_{17}$$ cells) and keratinocytes. To ensure the importance of this cell replacement strategy, we have considered mesenchymal stem cells (MSCs) as a secondary population. Then we have observed from a mathematical point of view how the primary immune cells interact with MSC and how the cytokine storm will slow down with the effect of umbilical cord-derived MSC (UC-MSC) transplantation in a pulsed manner. Our theoretical investigation and the numerical findings may provide a new insight into psoriasis therapy approaches and may be proposed as a treatment policy for future clinical trials.