[MS11] Dynamics of Pattern Formation and Morphogenesis in Biological Systems

[MS11-07] Morphological interfacial dynamics in a multi-connected region

*Meng Zhao¹ (1. Huazhong University of Science and Technology (China))

Keywords:

Interfacial instabilities

Interfacial dynamics are important to complex pattern formation in biological systems, including tumor growth. In this talk, we present a Hele-Shaw model to study morphological dynamics in multi-connected regions. We demonstrate that both constant and time-dependent fluxes produce a range of patterns and instabilities analogous to invasive tumor morphologies. By adjusting inner interface positions and scaling the flux with the outer interface radius, we propose strategies to suppress or modulate finger-like protrusions. Furthermore, introducing a sink leads to novel interfacial behaviors—such as cusp-like formations and potential interface merging—driven by factors like annular width, sink location, and fluid mobilities.