Verhulstian analysis of the growth of transplantable mammary tumours in sialoadenectomized mice

Cell Proliferation
J T LeithS Michelson


In this report we have analysed data published in 1989 by Inui et al. (Incidence of precancerous foci of mammary glands and growth rate of transplantable mammary cancers in sialoadenectomized mice. J. Natl Cancer Inst. 81, 1660) involving the effects of perturbation of the epidermal growth factor (EGF) status of mammary tumour-bearing mice on subsequent volumetric responses. Removal of an endogenous EGF stimulus by surgical ablation of the submaxillary glands, the major EGF-producing organ in mice, produced significantly slower growth of rodent mammary neoplasms, decreased success rate of transplantation, and an increase in the latent period before growth occurred. Administration of i.p. EGF (5 micrograms/mouse/day) to sialadectomized tumour-bearing mice would however, increase tumour growth rate. Data were analysed using the Verhulst equation which indicated that the observed effects on tumour volumetrics by either sialoadenectomy or EGF administration could be interpreted as being produced through paracrine pathways. The use of the Verhulstian analysis indicates that it is possible to analyse neoplastic responses and infer whether paracrine or autocrine pathways are involved.


Jan 1, 1991·Bulletin of Mathematical Biology·S Michelson, J T Leith
Oct 1, 1987·International Journal of Radiation Biology and Related Studies in Physics, Chemistry, and Medicine·M PenhaligonR S Camplejohn
Nov 15, 1987·International Journal of Cancer. Journal International Du Cancer·S OzawaN Shimizu
Jan 1, 1989·International Journal of Radiation Oncology, Biology, Physics·L MilasL J Peters
Sep 21, 1987·Journal of Theoretical Biology·S MichelsonJ T Leith
Mar 1, 1983·Proceedings of the National Academy of Sciences of the United States of America·T KawamotoJ Mendelsohn

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