Understanding drug resistance in breast cancer with mathematical oncology
Chemotherapy is the mainstay of treatment for the majority of patients with breast cancer but
results in only 26% of patients with distant metastasis living 5 years past treatment in the …
results in only 26% of patients with distant metastasis living 5 years past treatment in the …
[HTML][HTML] Computational modeling of 3D tumor growth and angiogenesis for chemotherapy evaluation
Solid tumors develop abnormally at spatial and temporal scales, giving rise to biophysical
barriers that impact anti-tumor chemotherapy. This may increase the expenditure and time …
barriers that impact anti-tumor chemotherapy. This may increase the expenditure and time …
A stable scheme for a nonlinear, multiphase tumor growth model with an elastic membrane
In this paper, we extend the 3D multispecies diffuse‐interface model of the tumor growth,
which was derived in Wise et al.(Three‐dimensional multispecies nonlinear tumor growth‐I …
which was derived in Wise et al.(Three‐dimensional multispecies nonlinear tumor growth‐I …
Tumor growth in complex, evolving microenvironmental geometries: a diffuse domain approach
Y Chen, JS Lowengrub - Journal of theoretical biology, 2014 - Elsevier
We develop a mathematical model of tumor growth in complex, dynamic microenvironments
with active, deformable membranes. Using a diffuse domain approach, the complex domain …
with active, deformable membranes. Using a diffuse domain approach, the complex domain …
Simulation study of pO2 distribution in induced tumour masses and normal tissues within a microcirculation environment
The biological microenvironment is interrupted when tumour masses are introduced
because of the strong competition for oxygen. During the period of avascular growth of …
because of the strong competition for oxygen. During the period of avascular growth of …
Multigrid solution methods for nonlinear time-dependent systems
FW Yang - 2014 - etheses.whiterose.ac.uk
An efficient, accurate and reliable numerical solver is essential for solving complex
mathematical models and obtaining their computational approximations. The solver …
mathematical models and obtaining their computational approximations. The solver …
[图书][B] Modeling and Simulation of Avascular Tumor Growth using a Level Set Method
NN Nargis - 2014 - search.proquest.com
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 …
drug development for anti-cancer clinical trials is to better understand their complex roles …
Capillary network, cancer and kleiber law
G Dattoli, S Licciardi, C Guiot, TS Deisboeck - arXiv preprint arXiv …, 2014 - arxiv.org
We develop a heuristic model embedding Kleiber and Murray laws to describe mass growth,
metastasis and vascularization in cancer. We analyze the relevant dynamics using different …
metastasis and vascularization in cancer. We analyze the relevant dynamics using different …
The Impact of Computational Fluid Mechanics on Cancer Research
DC Belisario, LDG Sigalotti - … Fluid Mechanics with Applications to Physics …, 2014 - Springer
This chapter presents an overview of recent contributions that show how fluid mechanics is
drastically changing cancer research. The review will mainly focus on the computational …
drastically changing cancer research. The review will mainly focus on the computational …
Avascular Tumor Growth Modelling: Physical Insights to Skin Cancer
MB Amar - Mathematical Oncology 2013, 2014 - Springer
In this chapter I present the state-of-the-art theoretical models for avascular tumor growth
which are well established nowadays. I focus on models able to treat morphologic …
which are well established nowadays. I focus on models able to treat morphologic …