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Analysis of growth factor gradients in hydra
Author(s) -
Macklin Martin
Publication year - 1968
Publication title -
journal of cellular physiology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.529
H-Index - 174
eISSN - 1097-4652
pISSN - 0021-9541
DOI - 10.1002/jcp.1040720103
Subject(s) - lernaean hydra , growth rate , mitosis , diffusion , catabolism , mitotic index , chemistry , biology , biophysics , thermodynamics , microbiology and biotechnology , metabolism , biochemistry , physics , mathematics , geometry
Differential equations have been written and solved to describe the concentration gradients for the two hydra growth factors. The equations consider diffusion, catabolism and synthesis of the materials based primarily on the model of hydra growth described by A. L. Burnett. Concentration gradient profiles were obtained which correspond with the concentration gradients deduced from experimental evidence. It has also been possible to show that in areas of high mitotic rate, mitotic rate is related to the calculated concentration ratio of the two growth factors (stimulator/inhibitor). However, the correspondence of mitotic rate to growth factor concentration ratio does not hold for extreme values of the ratio indicating that very high and very low concentration ratios are not conductive to mitotic activity.