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Dynamics of cancerous cells
Author(s) -
Gurel Okan
Publication year - 1969
Publication title -
cancer
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.052
H-Index - 304
eISSN - 1097-0142
pISSN - 0008-543X
DOI - 10.1002/1097-0142(196902)23:2<497::aid-cncr2820230231>3.0.co;2-k
Subject(s) - dynamics (music) , nucleus , cell , action (physics) , limit cycle , feature (linguistics) , neuroscience , classical mechanics , physics , field (mathematics) , cell type , limit (mathematics) , biology , mathematical analysis , mathematics , pure mathematics , quantum mechanics , genetics , linguistics , philosophy , acoustics
In a series of recent publications, new results obtained by phase photomicrography have appeared. These observations show the motions of lymphocytes around and within a non‐neoplastic cell, and, further, studies of the repelling behavior of cancerous cells. A novel feature of these experimental results is the pinwheeling action around the center of a cancerous cell, called pericyclosis. If the motions of lymphocytes and of some other metabolites are carefully studied it is seen that a dynamic field in the vicinity of each cell governs the motion of these metabolites. If the cell is a normal one the dynamic behavior of the nucleus is regular, and if it is of a cancerous type the nucleus is definitely unstable (repelling) and in certain cases closed trajectories may occur, forming a limit cycle. In this paper mathematical concepts from the qualitative theory of differential equations are related to the experimental results mentioned above to bring out the significance of various cell behaviors.