Recent progress in 3-D computer simulation of tumor growth and treatment
type: Item
instance of: scholarly article
title: Recent progress in 3-D computer simulation of tumor growth and treatment
zbMATH Open document ID: 0658.92002
DOI: 10.1007/BF00046682
author: Werner Düchting
published in: Acta Applicandae Mathematicae
publication date: 1989-01-01T00:00:00Z
review text: During the last decade many biological experiments were made to get more insight into the biological behaviour of cells and about cancer. In parallel with these experiments mathematicians were stimulated to apply their science to biological questions. That means they try to describe the time behaviour of cell interactions by highly nonlinear differential equations of high order. The solutions gained by calculation or simulation always show the response curve as a function of time. In many cases, however, the influence of feedback loops and the description of the spatial structure of growing cell systems are neglected. Therefore, our task is to investigate how methods of systems analysis control theory and computer science can be applied to cancer problems to answer the question for normal and malignant cell growth in time and space.
Mathematics Subject Classification ID: 92C50
Mathematics Subject Classification ID: 92Cxx
Mathematics Subject Classification ID: 68U99
zbMATH DE Number: 4077008
zbMATH Keywords: spatial simulation
zbMATH Keywords: cell interactions
zbMATH Keywords: highly nonlinear differential equations of high order
zbMATH Keywords: response curve
zbMATH Keywords: spatial structure of growing cell systems
zbMATH Keywords: systems analysis control theory
zbMATH Keywords: cancer problems
zbMATH Keywords: normal and malignant cell growth
MaRDI profile type: Publication
cites work: Q4739839
cites work: Q3714016
cites work: Q3217972
cites work: Q3206701
full work available at URL: https://doi.org/10.1007/bf00046682
OpenAlex ID: W4244859257
description: scientific article; zbMATH DE number 4077008