Hormone gradients and cartilage cell kinetics

We present a model of growth control in mammalian cartilage growth plates by hormones. The model is based on the distribution of insulin-like growth factors I and II (IGF-I and IGF-II) and their receptors, and assumes that a hormone-receptor complex of IGF controls cells proliferation. A system of differential equations is derived and solved with simplifications in extreme cases, for the one-dimensional time independent case. Even if opposite extremes, such as proliferation control by factors extrinsic to the cell versus intrinsic to the cell, are assumed, similar distributions of hormones and proliferating cells are produced. Hence, choice between alternative models of growth control must be based on empirical observations. On the positive side, similarities between our model for cartilage growth and other models for differentiation and proliferation are evident and might be exploited for unifying these systems on an abstract level.