10 citations · 38 across the 7 of their papers we have counts for
7 papers
Convergence of the Immersed Interface Method in Linear Elasticity
Sabia Asghar, Qiyao Peng, Etelvina Javierre +1
We consider an open, bounded, simply connected (Lipschitz) domain in , which contains a closed polyhedral surface or polygonal contour, referred to as the interface.…
Quality of approximating a mass-emitting object by a point source in a diffusion model
Qiyao Peng, Sander C. Hille
For the sake of computational efficiency and for theoretical purposes, in mathematical modelling, the Dirac Delta distributions are often utilized as a replacement for cells or ves…
Physical Confinement and Cell Proximity Increase Cell Migration Rates and Invasiveness: A Mathematical Model of Cancer Cell Invasion through Flexible Channels
Qiyao Peng, Fred J Vermolen, Daphne Weihs
Cancer cell migration between different body parts is the driving force behind cancer metastasis, which is the main cause of mortality of patients. Migration of cancer cells often…
Upscaling between an Agent-Based Model (Smoothed Particle Approach) and a Continuum-Based Model for Skin Contractions
Q. Peng, F. J. Vermolen
Skin contraction is an important biophysical process that takes place during and after the recovery of deep tissue injury. This process is mainly caused by fibroblasts (skin cells)…
A Formalism for Modelling Traction forces and Cell Shape Evolution during Cell Migration in Various Biomedical Processes
Qiyao Peng, Fred Vermolen, Daphne Weihs
The phenomenological model for cell shape deformation and cell migration (Chen et.al. 2018; Vermolen and Gefen 2012) is extended with the incorporation of cell traction forces and…
Numerical Methods to Compute Stresses and Displacements from Cellular Forces: Application to the Contraction of Tissue
Qiyao Peng, Fred Vermolen
We consider a mathematical model for wound contraction, which is based on solving a momentum balance under the assumptions of isotropy, homogeneity, Hooke's Law, infinitesimal stra…
Point Forces in Elasticity Equation and Their Alternatives in Multi Dimensions
Qiyao Peng, Fred Vermolen
We consider several mathematical issues regarding models that simulate forces exerted by cells. Since the size of cells is much smaller than the size of the domain of computation,…