Analysis of a radial free boundary tumor model with time-dependent absorption efficiency

Y Huang, Y Zhuang - Journal of Differential Equations, 2023 - Elsevier
We investigate an n-dimensional free boundary problem modeling tumor growth in radial
form with angiogenesis process. This process is reflected in the Robin boundary condition …

Bifurcation of finger-like structures in traveling waves of epithelial tissues spreading

L Berlyand, A Rybalko, V Rybalko… - Journal of Mathematical …, 2024 - Elsevier
We consider a continuous active polar fluid model for the spreading of epithelial monolayers
introduced by R. Alert, C. Blanch-Mercader, and J. Casademunt, 2019. The corresponding …

Symmetry-breaking bifurcation analysis of a free boundary problem modeling 3-dimensional tumor cord growth

J Chen, R **ng - Journal of Differential Equations, 2025 - Elsevier
In this paper, we study a free boundary problem modeling the growth of 3-dimensional tumor
cords. Since tumor cells grow freely in both the longitudinal and cross-sectional directions of …

Symmetry-breaking longitude bifurcation for a free boundary problem modeling the growth of tumor cord in three dimensions

X Zhang, Y Huang - Discrete and Continuous Dynamical Systems …, 2024 - aimsciences.org
In this paper, we analyze the free boundary problem in three dimensions describing the
growth of tumor cords. The model consists of a reaction-diffusion equation describing the …