[SS21] Transformation and Integration of Data and Modeling in Medicine

[SS21-01] Mathematical Dermatology: Linking Skin Eruption Morphology to Pathophysiological States for Personalized Treatment

*Sungrim Seirin-Lee¹ (1. Kyoto University (Japan))

Keywords:

Dermatology,Pattern Formation,Topological Data Analysis

In general, skin diseases manifest as “visible information” in the form of skin eruptions across the body. However, the underlying biological processes driving these phenomena are often understood only through fragmented information captured at single points in time, such as skin biopsies. Furthermore, human-specific diseases like urticaria cannot be analyzed using animal models, necessitating the inference of pathophysiology from in vitro experiments and limited clinical data.In this presentation, I propose a novel approach to bridge “the visible shapes of skin eruptions” with the “invisible molecular and cellular dynamics within the body” using mathematical modeling. This integration overcomes existing limitations by combining mathematical science, data analysis, and clinical dermatology. Additionally, I will introduce an innovative method that merges mathematical modeling with topological data analysis, enabling the estimation of patient-specific parameters based on the morphological characteristics of their skin eruptions.