Siwen Deng
| Position | Program-Specific Researcher |
|---|---|
| Group name | Seirin Group |
| Research Field | Applied Mathematics |
| Joined | 2025/10/01 |
Research Overview
My research lies at the interface of applied mathematics, biological modeling, and complex systems analysis. I am particularly interested in how spatial patterns and dynamic behaviors emerge from nonlinear interactions in systems governed by partial differential equations. By combining asymptotic analysis, perturbation theory, and numerical simulation, I aim to uncover the underlying mechanisms that govern the formation, stability, and evolution of localized structures in confined geometries.
A central theme of my work is the investigation of pattern formation and instability phenomena in reaction–diffusion systems, where small parameters and geometric effects give rise to rich spatiotemporal dynamics. I also study stochastic search and transport processes, motivated by problems in cell biology and biophysics, to understand how randomness and motion strategies influence efficiency in confined environments.
Through the integration of analytical and computational approaches, my research seeks to build a mathematical framework for multi-scale, geometry-dependent phenomena, offering theoretical insights that connect fundamental mathematics with applications in the natural sciences.
Biography
Siwen obtained her PhD from Macquarie University in Australia. She was appointed as a postdoctoral researcher in 2025 at the Institute for Advanced Study of Human Biology in Kyoto University.
Publications
S. Deng, J. Tzou, and S. Xie, Oscillatory instabilities of a one-spot pattern in the Schnakenberg reaction-diffusion system in 3-d domains, 2024. arXiv: 2412.03921 [nlin.PS]. url: https://arxiv.org/abs/2412.03921. (Preprint)
X. Chen, S. Deng, and S. Lei, “A robust preconditioner for two-dimensional conservative space-fractional diffusion equations on convex domains,” Journal of Scientific Computing, vol. 80(6), 2019. doi: 10.1007/s10915-019-00966-7.