ISSN:
1432-1416
Keywords:
Fokker-Planck
;
Cell population
;
Reproduction rules
Source:
Springer Online Journal Archives 1860-2000
Topics:
Biology
,
Mathematics
Notes:
Abstract Closed form solutions are obtained for a Fokker-Planck model for cell growth as a function of maturation velocity and degree of maturation. For reproduction rules where daughter cells inherit their parent's maturation velocity the complete solution is derived in terms of Airy functions. For more complicated reproduction rules partial results are obtained. Emphasis is given to the relationship of these problems to time dependent linear transport theory.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00275888
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