A systems biology view of blood vessel growth and remodelling

EA Logsdon, SD Finley, AS Popel… - Journal of cellular and …, 2014 - Wiley Online Library
Blood travels throughout the body in an extensive network of vessels–arteries, veins and
capillaries. This vascular network is not static, but instead dynamically remodels in response …

Multiscale computational models of complex biological systems

J Walpole, JA Papin, SM Peirce - Annual review of biomedical …, 2013 - annualreviews.org
Integration of data across spatial, temporal, and functional scales is a primary focus of
biomedical engineering efforts. The advent of powerful computing platforms, coupled with …

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 …

Spatiotemporal multi-scale modeling of radiopharmaceutical distributions in vascularized solid tumors

M Kiani Shahvandi, M Soltani, F Moradi Kashkooli… - Scientific reports, 2022 - nature.com
We present comprehensive mathematical modeling of radiopharmaceutical spatiotemporal
distributions within vascularized solid tumors. The novelty of the presented model is at …

A hybrid model of tumor growth and angiogenesis: In silico experiments

CM Phillips, EABF Lima, RT Woodall, A Brock… - Plos one, 2020 - journals.plos.org
Tumor associated angiogenesis is the development of new blood vessels in response to
proteins secreted by tumor cells. These new blood vessels allow tumors to continue to grow …

Ensemble analysis of angiogenic growth in three-dimensional microfluidic cell cultures

WA Farahat, LB Wood, IK Zervantonakis, A Schor… - PloS one, 2012 - journals.plos.org
We demonstrate ensemble three-dimensional cell cultures and quantitative analysis of
angiogenic growth from uniform endothelial monolayers. Our approach combines two key …

A mathematical model of tumour angiogenesis: growth, regression and regrowth

G Vilanova, I Colominas… - Journal of The Royal …, 2017 - royalsocietypublishing.org
Cancerous tumours have the ability to recruit new blood vessels through a process called
angiogenesis. By stimulating vascular growth, tumours get connected to the circulatory …

Mesoscopic and continuum modelling of angiogenesis

F Spill, P Guerrero, T Alarcon, PK Maini… - Journal of mathematical …, 2015 - Springer
Angiogenesis is the formation of new blood vessels from pre-existing ones in response to
chemical signals secreted by, for example, a wound or a tumour. In this paper, we propose a …

Computational models of sprouting angiogenesis and cell migration: towards multiscale mechanochemical models of angiogenesis

TAM Heck, MM Vaeyens… - … Modelling of Natural …, 2015 - mmnp-journal.org
Angiogenesis, the formation of new bloods vessels from the existing vasculature, is a
process that is essential during development and regeneration of tissues, and that plays a …

Evaluation of angiogenesis and osteogenesis

A Das, E Botchwey - Tissue Engineering Part B: Reviews, 2011 - liebertpub.com
Bone regeneration has long been a major focus for tissue engineers and the importance of
vascularization to the bone regeneration process has been well documented. Over the past …