A mathematical model of tumour angiogenesis: growth, regression and regrowth
نویسندگان
چکیده
منابع مشابه
A mathematical model for growth, regression, and regrowth in tumor- induced angiogenesis
Angiogenesis is the growth of new capillaries from pre-existing ones. This complex biological phenomenon plays a critical role in the development of cancer: when tumors gain the ability to induce angiogenesis, new capillaries provide the tumor the necessary nourishment for its fast growth as well as potential access to other organs through the circulatory system. For this reason, impeding angio...
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In order to accomplish the transition from avascular to vascular growth, solid tumours secrete a diffusible substance known as tumour angiogenesis factor (TAF) into the surrounding tissue. Neighbouring endothelial cells respond to this chemotactic stimulus in a well-ordered sequence of events comprising, at minimum, of a degradation of their basement membrane, migration and proliferation. A mat...
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Introduction As a tumor grows, the demand for oxygen and nutrients increases and it grows further if acquires the ability to induce angiogenesis. In this study, we aimed to present a two-dimensional continuous mathematical model for avascular tumor growth, coupled with a discrete model of angiogenesis. Materials and Methods In the avascular growth model, tumor is considered as a single mass, wh...
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ژورنال
عنوان ژورنال: Journal of The Royal Society Interface
سال: 2017
ISSN: 1742-5689,1742-5662
DOI: 10.1098/rsif.2016.0918