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This study developed a mathematical model to explore hair follicle regeneration mechanisms, showing that low spontaneous apoptosis rates help regenerate hair follicles after ionizing radiation, while high rates lead to degeneration during the catagen phase.

This study developed a mathematical model to simulate immune interactions and hair cycle dynamics in alopecia areata, identifying influential factors affecting hair growth and offering insights into potential treatment strategies by targeting immune dysregulation.

This study developed a mathematical model to explore the interactions between hair cycle dynamics and immune system activity in alopecia areata, providing insights into disease progression and potential targets for treatment by simulating immune response effects on hair follicles.

In this study, researchers developed a mathematical model to explore how immune system dynamics affect hair follicle behavior in alopecia areata, identifying key parameters influencing disease progression and suggesting potential treatment strategies targeting immune dysregulation.

This study explored a mechanism for making Turing pattern formations more predictable and robust by isolating pattern modes to prevent their sensitivity to initial conditions, which can lead to different outcomes from minor initial changes.