A simple theoretical model is hypothesized to describe the steady state behavior of a differentiating cell system as exemplified by blood cells. The cell system consists of several morphologically distinguishable cell classes which develop sequentially. Each cell class except the last one is mitotically capable. Mitosis is assumed to be either heteromorphogenic, homomorphogenic, or asymmetric. Some algebraic equations are derived which are conservation equations describing the flux of cells from one class to another. The theoretical considerations have been applied to some experimental observations in humans concerning neutrophil production, particularly in reference to relative cell numbers and mitotic fractions of the myeloblast, promyelocyte, and myelocyte cell classes. These observations are utilized to help determine the values of the parameters which characterize the model. Among these parameters are the generation times of the various cell classes, and the predicted values of the generation times are found to be in excellent agreement with observed grain-count halving times. However, the predicted mitotic times are in disagreement with their observed values.
Article| October 01 1969
A SIMPLE MODEL OF A STEADY STATE DIFFERENTIATING CELL SYSTEM
S. I. Rubinow
From the Biomathematics Division, Graduate School of Medical Sciences, Cornell University, and Sloan-Kettering Institute, New York 10021
Received: February 05 1969
Revision Received: April 30 1969
Online ISSN: 1540-8140
Print ISSN: 0021-9525
Copyright © 1969 by The Rockefeller University Press.
S. I. Rubinow; A SIMPLE MODEL OF A STEADY STATE DIFFERENTIATING CELL SYSTEM . J Cell Biol 1 October 1969; 43 (1): 32–39. doi: https://doi.org/10.1083/jcb.43.1.32
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