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 …
and angiogenesis. The former term describes the formation of a capillary-like network from …
Computational models for mechanics of morphogenesis
In the developing embryo, tissues differentiate, deform, and move in an orchestrated manner
to generate various biological shapes driven by the complex interplay between genetic …
to generate various biological shapes driven by the complex interplay between genetic …
Nonlinear modelling of cancer: bridging the gap between cells and tumours
Despite major scientific, medical and technological advances over the last few decades, a
cure for cancer remains elusive. The disease initiation is complex, and including initiation …
cure for cancer remains elusive. The disease initiation is complex, and including initiation …
Contact-inhibited chemotaxis in de novo and sprouting blood-vessel growth
RMH Merks, ED Perryn, A Shirinifard… - PLoS computational …, 2008 - journals.plos.org
Blood vessels form either when dispersed endothelial cells (the cells lining the inner walls of
fully formed blood vessels) organize into a vessel network (vasculogenesis), or by sprouting …
fully formed blood vessels) organize into a vessel network (vasculogenesis), or by sprouting …
Biophysical models of tumour growth
P Tracqui - Reports on Progress in Physics, 2009 - iopscience.iop.org
Tumour growth is a multifactorial process, which has stimulated in recent decades the
development of numerous models trying to figure out the mechanisms controlling solid …
development of numerous models trying to figure out the mechanisms controlling solid …
Fractal analysis of vascular networks: insights from morphogenesis
S Lorthois, F Cassot - Journal of theoretical biology, 2010 - Elsevier
Considering their extremely complicated and hierarchical structure, a long standing question
in vascular physio-pathology is how to characterize blood vessels patterns, including which …
in vascular physio-pathology is how to characterize blood vessels patterns, including which …
Characteristics of Pattern Formation and Evolution in Approximations of Physarum Transport Networks
J Jones - Artificial life, 2010 - direct.mit.edu
Most studies of pattern formation place particular emphasis on its role in the development of
complex multicellular body plans. In simpler organisms, however, pattern formation is …
complex multicellular body plans. In simpler organisms, however, pattern formation is …
Modeling the extracellular matrix in cell migration and morphogenesis: a guide for the curious biologist
The extracellular matrix (ECM) is a highly complex structure through which biochemical and
mechanical signals are transmitted. In processes of cell migration, the ECM also acts as a …
mechanical signals are transmitted. In processes of cell migration, the ECM also acts as a …
On the mathematical modeling of wound healing angiogenesis in skin as a reaction-transport process
Over the last 30 years, numerous research groups have attempted to provide mathematical
descriptions of the skin wound healing process. The development of theoretical models of …
descriptions of the skin wound healing process. The development of theoretical models of …
A pharmacologically based multiscale mathematical model of angiogenesis and its use in investigating the efficacy of a new cancer treatment strategy
F Billy, B Ribba, O Saut, H Morre-Trouilhet… - Journal of theoretical …, 2009 - Elsevier
Tumor angiogenesis is the process by which new blood vessels are formed and enhance
the oxygenation and growth of tumors. As angiogenesis is recognized as being a critical …
the oxygenation and growth of tumors. As angiogenesis is recognized as being a critical …