On the role of mechanical signals on sprouting angiogenesis through computer modeling approaches
T Abdalrahman, S Checa - Biomechanics and modeling in …, 2022 - Springer
Sprouting angiogenesis, the formation of new vessels from preexisting vasculature, is an
essential process in the regeneration of new tissues as well as in the development of some …
essential process in the regeneration of new tissues as well as in the development of some …
Existence of weak solutions to multiphase Cahn–Hilliard–Darcy and Cahn–Hilliard–Brinkman models for stratified tumor growth with chemotaxis and general source …
We investigate a multiphase Cahn–Hilliard model for tumor growth with general source
terms. The multiphase approach allows us to consider multiple cell types and multiple …
terms. The multiphase approach allows us to consider multiple cell types and multiple …
Tumor growth towards lower extracellular matrix conductivity regions under Darcy's Law and steady morphology
X Zheng, K Zhao, T Jackson, J Lowengrub - Journal of mathematical …, 2022 - Springer
We study a classic Darcy's law model for tumor cell motion with inhomogeneous and
isotropic conductivity. The tumor cells are assumed to be a constant density fluid flowing …
isotropic conductivity. The tumor cells are assumed to be a constant density fluid flowing …
Global existence of classical solutions and numerical simulations of a cancer invasion model
M Fuest, S Heydari, P Knobloch, J Lankeit… - arXiv preprint arXiv …, 2022 - arxiv.org
In this paper, we study a cancer invasion model both theoretically and numerically. The
model is a nonstationary, nonlinear system of three coupled partial differential equations …
model is a nonstationary, nonlinear system of three coupled partial differential equations …
Simulating tumor growth using mathematical and agent-based modeling
S Chabbar, A Rajae, H Abderrahmane… - International Journal of …, 2022 - World Scientific
In this paper, two different approaches for tumor growth modeling are presented and
implemented. In the first part of the paper, a macroscopic approach using a PDE model …
implemented. In the first part of the paper, a macroscopic approach using a PDE model …
实体肿瘤血管任意方向生成的二维数值模拟
吴洁， 许世雄， 龙泉， 赵改平， 蒋雨平 - 医用生物力学, 2022 - pubs.cstam.org.cn
目的二维数值生成实体肿瘤任意方向生长的血管网, 为研究实体肿瘤内血液动力学,
药物输运以及抗血管生成提供更趋真实的微血管网络结构. 方法将新生血管芽尖的内皮细胞迁移 …
药物输运以及抗血管生成提供更趋真实的微血管网络结构. 方法将新生血管芽尖的内皮细胞迁移 …
Tumor microenvironmental influences on tumor growth using non-extensive entropy
We have used non-extensive entropy to study the influence of the non-immunogenic tumor
microenvironmental effects on dynamics of tumor growth. For this purpose, we have first …
microenvironmental effects on dynamics of tumor growth. For this purpose, we have first …