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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
biochemistry, genetics and molecular biology
A mathematical model of glioma growth: the effect of chemotherapy on spatio‐temporal growth
Cell Proliferation, Volume 28, No. 1, Year 1995
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Description
During the past two decades computerized tomography (CT) and magnetic resonance imaging (MRI) have permitted the detection of tumours at much earlier stages in their development than was previously possible. In spite of this earlier diagnosis the effects of earlier and more extensive treatments have been difficult to document. This failure has led to an increasing awareness of the importance of infiltration of glioma cells into surrounding grossly normal brain tissue such that recurrence still occurs. In this paper a simple mathematical model for the proliferation and infiltration of such tumours is introduced, based in part on quantitative image analysis of histological sections of a human brain glioma and especially on cross‐sectional area/volume measurements of serial CT images while the patient was undergoing chemotherapy. The model parameters were estimated using optimization techniques to give the best fit of the simulated tumour area to the CT scan data. Numerical solution of the model on a two‐dimensional domain, which took into account the geometry of the brain and its natural barriers to diffusion, was used to determine the effect of chemotherapy on the spatiotemporal growth of the tumour. Copyright © 1995, Wiley Blackwell. All rights reserved
Authors & Co-Authors
Tracqui, P.
United States, Seattle
University of Washington
France, Saint Martin D'heres
Université Grenoble Alpes
Cruywagen, Gerhard C.
United States, Seattle
University of Washington
South Africa, Cape Town
Marine and Coastal Management
Woodward, D. E.
United States, Seattle
University of Washington
United States, Dallas
Southern Methodist University
Bartoo, G. T.
United States, Seattle
University of Washington School of Medicine
United States, Seattle
University of Washington
Murray, James D.
United States, Seattle
University of Washington
Alvord, E. C.
United States, Seattle
University of Washington School of Medicine
Statistics
Citations: 284
Authors: 6
Affiliations: 5
Identifiers
Doi:
10.1111/j.1365-2184.1995.tb00036.x
ISSN:
09607722
e-ISSN:
13652184
Research Areas
Cancer
Health System And Policy
Study Approach
Quantitative