
AREA RELATIONS BETWEEN LABELING INDEX CURVES FROM MULTICOMPARTMENT CELL KINETICS MODELS.
Author(s) -
Buchal R. N.,
Phillips D. L.,
Trucco E.
Publication year - 1970
Publication title -
cell proliferation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.647
H-Index - 74
eISSN - 1365-2184
pISSN - 0960-7722
DOI - 10.1111/j.1365-2184.1970.tb00253.x
Subject(s) - mathematical proof , index (typography) , contradiction , computer science , kinetics , calculus (dental) , mathematics , biological system , biology , physics , medicine , epistemology , programming language , philosophy , classical mechanics , dentistry , geometry
The study of the multicompartment models in cell kinetics can be simplified by the use of a conservation law relating the integrals, with respect to time, of labeling index in various compartments. We present a proof of the conservation law directed to the nonmathematician, as well as four applications from biology. The first demonstrates a contradiction, which biologists have yet to resolve, between a certain biological model and experimental results. The second and third are simpler proofs of results already proven by other techniques in the literature. The fourth is a result which appears to be new.