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 …
Microfluidics for mammalian cell chemotaxis
BJ Kim, M Wu - Annals of biomedical engineering, 2012 - Springer
The emerging field of micro-technology has opened up new possibilities for exploring
cellular chemotaxis in real space and time, and at single cell resolution. Chemotactic cells …
cellular chemotaxis in real space and time, and at single cell resolution. Chemotactic cells …
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 …
[图书][B] Multiscale modeling of cancer: an integrated experimental and mathematical modeling approach
V Cristini, J Lowengrub - 2010 - books.google.com
Mathematical modeling, analysis and simulation are set to play crucial roles in explaining
tumor behavior, and the uncontrolled growth of cancer cells over multiple time and spatial …
tumor behavior, and the uncontrolled growth of cancer cells over multiple time and spatial …
Angiogenesis in bone fracture healing: a bioregulatory model
The process of fracture healing involves the action and interaction of many cells, regulated
by biochemical and mechanical signals. Vital to a successful healing process is the …
by biochemical and mechanical signals. Vital to a successful healing process is the …
[HTML][HTML] Cell elongation is key to in silico replication of in vitro vasculogenesis and subsequent remodeling
RMH Merks, SV Brodsky, MS Goligorksy… - Developmental …, 2006 - Elsevier
Vasculogenesis, the de novo growth of the primary vascular network from initially dispersed
endothelial cells, is the first step in the development of the circulatory system in vertebrates …
endothelial cells, is the first step in the development of the circulatory system in vertebrates …
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 …
Navigation of chemotactic cells by parallel signaling to pseudopod persistence and orientation
L Bosgraaf, PJM Van Haastert - PloS one, 2009 - journals.plos.org
The mechanism of chemotaxis is one of the most interesting issues in modern cell biology.
Recent work shows that shallow chemoattractant gradients do not induce the generation of …
Recent work shows that shallow chemoattractant gradients do not induce the generation of …
Kinetic models with non-local sensing determining cell polarization and speed according to independent cues
N Loy, L Preziosi - Journal of mathematical biology, 2020 - Springer
Cells move by run and tumble, a kind of dynamics in which the cell alternates runs over
straight lines and re-orientations. This erratic motion may be influenced by external factors …
straight lines and re-orientations. This erratic motion may be influenced by external factors …
The effects of cell compressibility, motility and contact inhibition on the growth of tumor cell clusters using the Cellular Potts Model
JF Li, J Lowengrub - Journal of theoretical biology, 2014 - Elsevier
There are numerous biological examples where genes associated with migratory ability of
cells also confer the cells with an increased fitness even though these genes may not have …
cells also confer the cells with an increased fitness even though these genes may not have …