A review of mathematical models for the formation of vascular networks

M Scianna, CG Bell, L Preziosi - Journal of theoretical biology, 2013 - Elsevier
Two major mechanisms are involved in the formation of blood vasculature: vasculogenesis
and angiogenesis. The former term describes the formation of a capillary-like network from …

The effect of interstitial pressure on tumor growth: coupling with the blood and lymphatic vascular systems

M Wu, HB Frieboes, SR McDougall… - Journal of theoretical …, 2013 - Elsevier
The flow of interstitial fluid and the associated interstitial fluid pressure (IFP) in solid tumors
and surrounding host tissues have been identified as critical elements in cancer growth and …

A review of spatial computational models for multi-cellular systems, with regard to intestinal crypts and colorectal cancer development

G De Matteis, A Graudenzi, M Antoniotti - Journal of mathematical biology, 2013 - Springer
Colon rectal cancers (CRC) are the result of sequences of mutations which lead the
intestinal tissue to develop in a carcinoma following a “progression” of observable …

Multiphase modelling of vascular tumour growth in two spatial dimensions

ME Hubbard, HM Byrne - Journal of theoretical biology, 2013 - Elsevier
In this paper we present a continuum mathematical model of vascular tumour growth which
is based on a multiphase framework in which the tissue is decomposed into four distinct …

On computational modeling in tumor growth

G Sciumè, WG Gray, M Ferrari, P Decuzzi… - … Methods in Engineering, 2013 - Springer
The paper addresses modeling of avascular and vascular tumor growth within the
framework of continuum mechanics and the adopted numerical solution strategies. The …

A continuous model of angiogenesis: initiation, extension, and maturation of new blood vessels modulated by vascular endothelial growth factor, angiopoietins …

X Zheng, GY Koh, T Jackson - Discrete and Continuous …, 2013 - koasas.kaist.ac.kr
This work presents a continuous model for three early stage events in angiogenesis:
initiation, sprout extension, and vessel maturation. We carefully examine the regulating …

[HTML][HTML] Multi-scale agent-based modeling on melanoma and its related angiogenesis analysis

J Wang, L Zhang, C Jing, G Ye, H Wu, H Miao… - Theoretical Biology and …, 2013 - Springer
Background Recently, melanoma has become the most malignant and commonly occurring
skin cancer. Melanoma is not only the major source (75%) of deaths related to skin cancer …

[HTML][HTML] How changes in extracellular matrix mechanics and gene expression variability might combine to drive cancer progression

J Werfel, S Krause, AG Bischof, RJ Mannix, H Tobin… - PloS one, 2013 - journals.plos.org
Changes in extracellular matrix (ECM) structure or mechanics can actively drive cancer
progression; however, the underlying mechanism remains unknown. Here we explore …

Numerical simulation of the inhibitory effect of angiostatin on metastatic tumor angiogenesis and microenvironment

G Zhao, W Yan, E Chen, X Yu, W Cai - Bulletin of mathematical biology, 2013 - Springer
The present work formulates and analyzes the inhibitory effect of anti-angiogenic factor
angiostatin excreted by the primary tumor on metastatic tumor angiogenesis, blood …

Theoretical investigation of the efficacy of antiangiogenic drugs combined to chemotherapy in xenografted mice

F Lignet, S Benzekry, S Wilson, F Billy, O Saut… - Journal of theoretical …, 2013 - Elsevier
Antiangiogenic drugs were developed with the aim to inhibit the formation of intratumoral
blood vessels and in consequence the growth of solid tumors. As these drugs are generally …