12–17 Jul 2026
University of Graz
Europe/Vienna timezone

Markov Process based Mathematical Model of Vascular Stenosis Formation and Treatment

14 Jul 2026, 17:00
20m
11.32 - SR (University of Graz)

11.32 - SR

University of Graz

35
Contributed Talk Cardiovascular Modelling Contributed Talks

Speaker

taiga kadowaki (Kyushu university)

Description

Vascular stenosis, the pathological narrowing of blood vessels due to atherosclerotic plaque, remains a primary driver of cardiovascular disease. Traditional computational fluid dynamics (CFD) models provide detailed hemodynamics but are computationally expensive, limiting their utility for long-term disease forecasting. To address this, we propose a highly efficient stochastic modeling framework designed to simulate both the formation and treatment processes of vascular stenosis. Instead of relying on complex, deterministic fluid calculations, our approach utilizes a probabilistic model based on discrete particle movement. The dynamics of these particles are governed by a combination of diffusion processes and an approximated flow field derived from the Stokes equations. This simplified structure successfully captures the essential macroscopic fluid-structure interactions and the microscopic probabilistic fluctuations of plaque growth. By significantly reducing computational loads without losing critical physical behaviors, this methodology offers a flexible and scalable platform for evaluating long-term disease progression and potential therapeutic interventions.

Author

taiga kadowaki (Kyushu university)

Co-author

Atsushi Tero (Kyushu university)

Presentation materials

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