Mathematical modeling of tumor-induced angiogenesis
Cancer is a collection of diseases with the common feature of uncontrolled cellular growth.
Most tissues in the body can give rise to cancer, some even yield several types, and each …
Most tissues in the body can give rise to cancer, some even yield several types, and each …
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 …
Modelling and mathematical problems related to tumor evolution and its interaction with the immune system
N Bellomo, L Preziosi - Mathematical and Computer Modelling, 2000 - Elsevier
This paper provides a survey of mathematical models and methods dealing with the analysis
and simulation of tumor dynamics in competition with the immune system. The characteristic …
and simulation of tumor dynamics in competition with the immune system. The characteristic …
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 …
Dynamics of colorectal cancer
Colorectal cancer results from an accumulation of mutations in tumor suppressor genes and
oncogenes. An additional defining characteristic of colorectal cancer is its genetic instability …
oncogenes. An additional defining characteristic of colorectal cancer is its genetic instability …
The design and development of DaunoXome® for solid tumor targeting in vivo
EA Forssen - Advanced drug delivery reviews, 1997 - Elsevier
This article reviews the formulation development and characterization of the tumor-targeting
daunorubicin liposome preparation, DaunoXome®. The identification of liposome …
daunorubicin liposome preparation, DaunoXome®. The identification of liposome …
Mathematical modeling of the onset of capillary formation initiating angiogenesis
It is well accepted that neo-vascular formation can be divided into three main stages (which
may be overlapping):(1) changes within the existing vessel,(2) formation of a new …
may be overlapping):(1) changes within the existing vessel,(2) formation of a new …
Two-dimensional models of tumour angiogenesis and anti-angiogenesis strategies
ME Orme, MAJ Chaplain - … Medicine and Biology: A Journal of …, 1997 - ieeexplore.ieee.org
There is a very strong link between the vascularization of a tumour and the spread of the
disease, both locally and to distant sites (Gimbrone et al., 1974, J. Natl. Cancer Inst. 52, 413 …
disease, both locally and to distant sites (Gimbrone et al., 1974, J. Natl. Cancer Inst. 52, 413 …
Lattice and non-lattice models of tumour angiogenesis
MJ Plank, BD Sleeman - Bulletin of mathematical biology, 2004 - Springer
In order to progress from the relatively harmless avascular state to the potentially lethal
vascular state, solid tumours must induce the growth of new blood vessels from existing …
vascular state, solid tumours must induce the growth of new blood vessels from existing …
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 …