We derive a Cahn–Hilliard–Darcy model to describe multiphase tumour growth taking interactions with multiple chemical species into account as well as the simultaneous …
This book explores outcome modeling in cancer from a data-centric perspective to enable a better understanding of complex treatment response, to guide the design of advanced …
H Cho, D Levy - Journal of theoretical biology, 2018 - Elsevier
The emergence of drug-resistance is a major challenge in chemotherapy. In this paper we develop a mathematical model to study the dynamics of drug-resistance in solid tumors. Our …
X Zheng, M Sweidan - Journal of Mathematical Biology, 2018 - Springer
The purpose of this paper is to develop a new coupled mathematical model of angiogenesis (new blood vessel growth) and tumor growth to study cancer development and anti …
I Kim, O Turanova - Annales de l'Institut Henri Poincaré C, 2018 - ems.press
We study a model introduced by Perthame and Vauchelet [19] that describes the growth of a tumor governed by Brinkman's Law, which takes into account friction between the tumor …
NN Nargis, RC Aldredge, RD Guy - Mathematical Biosciences, 2018 - Elsevier
A major challenge in matrix-metalloproteinase (MMP) target validation and MMP-inhibitor- drug development for anti-cancer clinical trials is to better understand their complex roles …
This thesis is concerned with the development and application of optimally efficient numerical methods for the simulation of vascular tumour growth, based upon the multiphase …
Central to the quest for a deeper understanding of the cancer growth and spread process, the naturally multiscale character of cancer invasion demands appropriate multiscale …
Breast cancer treatment response varies by subtype, treatment regiment, and additionally by vasculature characteristics. For this reason, breast cancer is a model disease for the …