منابع مشابه
Cell-Oriented Modeling of Angiogenesis
Due to its significant involvement in various physiological and pathological conditions, angiogenesis (the development of new blood vessels from an existing vasculature) represents an important area of the actual biological research and a field in which mathematical modeling proved particularly useful in supporting the experimental work. In this paper, we focus on a specific modeling strategy, ...
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We propose a deterministic two-scale tissue-cellular approach for modeling growth factor-induced angiogenesis. The bioreaction and diffusion of capillary growth factors (CGF) are modeled at a tissue scale, whereas capillary extension, branching and anastomosis are modeled at a cellular scale. The capillary indicator function is used to bridge these two scales. To solve the equation system numer...
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We introduce a Cellular Potts model (a cellular-automatonbased Monte-Carlo model) of in vitro capillary development, or angiogenesis. Our model derives from a recent continuum model, which assumes that vascular endothelial cells chemotactically attract each other. Our discrete model is “cell based.” Modeling the cells individually allows us to assign different physicochemical properties to each...
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When a tracer, such as Gd-doped or iodinated extracellular contrast, is introduced into the blood stream of a patient its transport through the vascular system, heart and lungs and eventual excretion via the kidneys is a well-established process [1,2]. At the level of the imaging voxel (for example, in the centre of a breast tumor) we can only speculate as to the precise nature of the tracer ki...
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ژورنال
عنوان ژورنال: The Scientific World JOURNAL
سال: 2011
ISSN: 1537-744X
DOI: 10.1100/2011/586475