In this episode of the GA²LEN (Global Allergy and Asthma Excellence Network) Podcast on Everything Urticaria, Professor Torsten Zuberbier speaks with Professor Michihiro Hide from Hiroshima, Japan — a pioneer in urticaria research — about an unexpected connection between dermatology and mathematics.
The discuss:
🔹 Why do urticaria wheals form distinct shapes — round, annular, or geographic?
🔹 What controls how long a wheal lasts before fading?
🔹 Can mathematical formulas help explain the biology of hives?
🔹 What could this mean for diagnosis and treatment in the future?
Professor Hide shares how a collaboration with a mathematician led to the creation of a computational model that simulates wheal formation in silico, revealing five recurring urticaria patterns that correspond to clinical types such as cholinergic or chronic spontaneous urticaria. Together, the two professors explore how mast cells, basophils, endothelial cells, and coagulation factors interact through feedback loops to create (and stop) a wheal — and how this model could reshape our understanding of urticaria’s pathophysiology and treatment.
Key Learnings from the Episode
Urticaria’s shapes and lifespans can be mathematically modeled using Turing-inspired reaction-diffusion formulas.
Five recurring patterns of wheals emerged from simulations, mirroring real-world urticaria morphology.
Basophil-driven small dots (e.g., cholinergic urticaria) differ mechanistically from mast-cell-driven geographic wheals.
Wheals persist longer than histamine-only reactions, implying sustained mast-cell activation.
Urticaria develops through three stages — initiation, expansion, and resolution — governed by positive and negative feedback.
Understanding the inhibitory phase that stops mast-cell activation is a key future research frontier.
Mathematical modeling could help visualize and predict disease activity, opening paths for personalized therapy.
Collaboration between clinicians and mathematicians may lead to a new diagnostic and research paradigm in chronic urticaria.
Chapters
00:00 Introduction to Urticaria Research
02:03 Exploring the Mechanisms of Urticaria
06:25 Mathematical Approaches to Urticaria
10:30 Patterns and Predictions in Urticaria
15:37 Understanding Treatment Responses
19:07 Future Directions in Urticaria Research
Press release
https://www.eurekalert.org/news-releases/1009793
References
1. Seirin-Lee S, et al. A single reaction-diffusion equation for. the multifarious eruptions of urticaria. PLOS Computational Biology. 2020;16(1):e1007590
2. Seirin-LeeS, et al. Mathematical-based morphological classification of skin eruptions corresponding to the pathophysiological state of chronic spontaneous urticaria.Communications Medicine. 2023;3(1):171.
3. Seirin-Lee S, et al. Pathophysiological Mechanisms of the Onset, Development, and Disappearance Phases of Skin Eruptions in Chronic Spontaneous Urticaria, Bulletin of Mathematical Biology. 2025; 87, 1
Michihiro Hide has receivedlecture and/or consultation fees from Japan Tobacco, Kaken, Kyorin, KyowaKirin, Meiji Seiyaku, Mitsubishi Tanabe, Nippon Zoki, Novartis, Sanofi, Taiho,Teikoku and Yuhan.
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