Global And Exponential Stabilization Of A Chemotactic Alopecia Areata Model With Signal-Dependent Diffusion And Sensitivity
May 2025
in “
Nonlinear Analysis Real World Applications
”
Research cited in this study
6 / 6 resultsresearch Global behavior of solutions in a chemotaxis model for alopecia areata with signal-dependent sensitivity
This paper examines a chemotaxis model for alopecia areata (AA), focusing on the interactions between CD$ 4^{+} $ T cells, CD$ 8^{+} $ T cells, and interferon-gamma (IFN-$ \gamma $). The study establishes the uniform boundedness and global existence of solutions in one and two dimensions under certain conditions, such as weak signal-dependent sensitivities and high density-dependent death rates. It also explores the globally asymptotic stability and convergence rates of the model's positive equilibrium. The findings suggest that sparse hairless patches can develop and lead to stable AA when specific conditions regarding proliferation rates, death rates, and chemotactic sensitivities are met.
research Alopecia Areata: Current Treatments and New Directions
JAK inhibitors and platelet-rich plasma show promise for treating alopecia areata.
research Clinical and Genetic Aspects of Alopecia Areata: A Cutting Edge Review
Hair loss from Alopecia Areata is caused by both genes and environment, with several treatments available but challenges in cost and relapse remain.
research Alopecia Areata: A Multifactorial Autoimmune Condition
Alopecia areata is an autoimmune disease causing patchy hair loss, often with other autoimmune disorders, but its exact causes are unknown.
research Mathematical Model for Alopecia Areata
The model showed that immune system guardians and the cytokine interferon-γ are key in alopecia areata progression.
research Alopecia Areata: An Autoimmune Disease Causing Hair Loss
Alopecia Areata is an autoimmune condition causing hair loss with no cure and treatments that often don't work well.