ISSN:
1432-1416
Keywords:
Fluctuations
;
Stochastic PDEs
;
Blood cell maturation
;
Chemotherapy
;
Bone marrow transplant
Source:
Springer Online Journal Archives 1860-2000
Topics:
Biology
,
Mathematics
Notes:
Abstract We study the effect of noise on the behaviour of a dynamic cell population model in which cell replication and maturation take place simultaneously. We assume that the maximum proliferative potential ν fluctuates uniformly about a mean value of v, and show that a decrease in v and/or the input flux u in into the population can lead to an increase in the variance in the cellular efflux u f. We draw a qualitative correspondence between this behaviour and the commonly observed increase in the variance of circulating blood cell numbers following chemotherapy and radiotherapy, both of which lead to a decrease in v and u in , and bone marrow transplant which probably corresponds to a decrease in u in .
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00168796
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