Pharmacokinetics variability: Why nanoparticles are not just magic-bullets in oncology

A Rodallec, S Benzekry, B Lacarelle, J Ciccolini… - Critical reviews in …, 2018 - Elsevier
Developing nanoparticles to improve the specificity of anticancer agents towards tumor
tissue and to better control drug delivery is a rising strategy in oncology. An increasing …

A multiphase Cahn–Hilliard–Darcy model for tumour growth with necrosis

H Garcke, KF Lam, R Nürnberg… - Mathematical Models and …, 2018 - World Scientific
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 …

[图书][B] A guide to outcome modeling in radiotherapy and oncology: listening to the data

I El Naqa - 2018 - books.google.com
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 …

Modeling the chemotherapy-induced selection of drug-resistant traits during tumor growth

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 …

A mathematical model of angiogenesis and tumor growth: analysis and application in anti-angiogenesis therapy

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 …

Uniform convergence for the incompressible limit of a tumor growth model

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 …

The influence of soluble fragments of extracellular matrix (ECM) on tumor growth and morphology

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 …

Efficient iterative solution algorithms for numerical models of multiphase flow

AHS Alrehaili - 2018 - etheses.whiterose.ac.uk
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 …

A level-set approach for a multi-scale cancer invasion model

T Carraro, SE Wetterauer, AVP Bobadilla… - arXiv preprint arXiv …, 2018 - arxiv.org
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 …

Mathematical Modeling for Predicting Chemotherapy and Nanoparticle Treatment Efficacy in Breast Cancer

TA Brocato - 2018 - search.proquest.com
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 …