A COMPARISON OF THE ROLES OF LOCALISED AND NONLOCALISED GROWTH FACTORS IN SOLID TUMOUR GROWTH

Author:

BYRNE HELEN M.1

Affiliation:

1. Department of Mathematics, UMIST, P. O. Box 88, Manchester M60 1QD, UK

Abstract

Recent experimental results suggest that during proliferation, tumour cells express growth factors that modify their growth dynamics. In this paper we extend the standard model of avascular tumour growth to study the effect that two types of growth factors (localised or nondiffusible and diffusible) can have on the tumour's development. In both cases we assume that the growth factor is produced in inactive form and becomes activated when it binds to a tumour cell. We show how the inclusion into the model of such GFs endows the tumour with history dependence, in that its evolution depends not only on its structure at a given instant but also on its structure at earlier times. We also present numerical simulations to illustrate the various ways in which the two types of growth factors affect the tumours' growth dynamics. The physical implications of the results are discussed briefly and several experiments are suggested which could be performed to validate the model hypotheses and results.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3