Journal
JOURNAL OF THEORETICAL BIOLOGY
Volume 243, Issue 2, Pages 171-180Publisher
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jtbi.2006.05.020
Keywords
tumour growth; fractal properties; dynamic scaling; cell colonies
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This paper describes some experiments on the manner in which external pressure affects cell colony growth in general, and tumour growth in particular. More precisely, our results show that cell colony borders growing under high-pressure conditions have geometrical and dynamical properties that are markedly different from those corresponding to growth under homeostatic, normal pressure conditions. These behaviours are characterized by means of the so-called dynamical exponents of each type of growth. These are shown to correspond to statistical properties of solutions of some stochastic partial differential equations that account for the evolution of the interface between the expanding colony and the surrounding medium. (c) 2006 Elsevier Ltd. All rights reserved.
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