A Mathematical Model Coupling Tumor Growth and Angiogenesis
نویسندگان
چکیده
منابع مشابه
Two Dimensional Mathematical Model of Tumor Angiogenesis: Coupling of Avascular Growth and Vascularization
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...
متن کاملtwo dimensional mathematical model of tumor angiogenesis: coupling of avascular growth and vascularization
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...
متن کاملA stochastic mathematical model of avascular tumor growth patterns and its treatment by means of noises
Due to the rate increase in cancer incidence, many researchers in different fields have been conducting studies on cancer-related phenomena. Most studies are conducted to focus on cellular and molecular aspects of cancerous diseases and treatment strategies. Physicists have been using mathematical modeling and simulation to explain the growth pattern of tumors. Although most published studies i...
متن کاملTumor Angiogenesis and Vascular Patterning: A Mathematical Model
Understanding tumor induced angiogenesis is a challenging problem with important consequences for diagnosis and treatment of cancer. Recently, strong evidences suggest the dual role of endothelial cells on the migrating tips and on the proliferating body of blood vessels, in consonance with further events behind lumen formation and vascular patterning. In this paper we present a multi-scale pha...
متن کاملCorrection: Tumor Angiogenesis and Vascular Patterning: A Mathematical Model
Copyright: © 2016 Travasso et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: PLOS ONE
سال: 2016
ISSN: 1932-6203
DOI: 10.1371/journal.pone.0149422