Three Variable Cancer Angiogenesis models
Abstract
In this paper we present several mathematical models of tumor growth and angiogenesis expressed by systems of ODE’ s encoding the most essential observations and assumptions about the complex hierarchical interactive processes of tumor neo-vascularization (angiogenesis). The simplest modeling option presented merely captures the three independent variables mentioned earlier-tumor size N, total vessel volume V and the amount of protein P. We modify this model assuming that the protein is additionally consumed by growing vessels and obtain a model with protein consumption. Next models with time-delays are introduced. To make our models more realistic, two more compartments representing more complex vascularity and protein effects are introduced.
Full Text:
PDFDOI: http://dx.doi.org/10.21533/scjournal.v1i1.66
Refbacks
- There are currently no refbacks.
Copyright (c) 2015 SouthEast Europe Journal of Soft Computing
ISSN 2233 -1859
Digital Object Identifier DOI: 10.21533/scjournal
This work is licensed under a Creative Commons Attribution 4.0 International License