[The duration of mitosis in paraleukoblasts]

A mathematical model of neutrophil production and control in normal man

A comprehensive mathematical model of neutrophil production in normal man is presented. The model incorporates three control elements which regulate homeostatically the rates of release of marrow cells to proliferation, maturation, and to the blood. The steady state properties of the model are demonstrated analytically. The basic equations of the model, which are nonlinear, have been integrated numerically. The solutions so obtained display graphically the dynamical response of the system to various perturbations, which simulate experimental investigations that have been made in the past of granulocytopoiesis. By an appropriate choice of values of the parameters characterizing the system, it is shown how most of the principal kinetic properties of the neutrophil production and control system are represented in a quantitative manner.

Alterations in metaphase durations in cells derived from human tumours

With the use of time-lapse cinemicrography, we previously found that metaphase durations were significantly prolonged in SV40-transformed human fibroblasts when compared to untransformed controls. This was consistent with some earlier reports and suggested that prolonged metaphases could account for high metaphase/prophase ratios and possibly, in part, for increased mitotic indices seen in advanced tumours. However, there are inconsistencies in the literature and no comparable data available from malignant carcinomas. Presented in this paper are data from two cervical dysplasias, two cases of carcinoma in situ, nine malignant carcinomas and several other types of human cells. The results show that mean metaphase durations were prolonged in cells derived from most of the carcinomas but not from the other cell types. On the other hand, cytokinesis appears to progress more rapidly than normal in most of the tumour-derived cells. These and other findings indicate that the changes are a result of some metabolic alteration common to many but not all tumour cells. For reasons presented, we suggest as a working hypothesis that the alterations may be due to changes in calcium regulation, possibly resulting from alterations in mitochondrial metabolism.

The prolongation of mitotic stages in SV40-transformed vs nontransformed human fibroblast cells

Early studies on the duration of mitotic stages and on metaphase-to-prophase ratios in a number of normal and neoplastic cells indicated that the process of mitosis becomes altered during the course of oncogenesis. However, the nature of these changes and their effects on each of the mitotic stages are still unclear. With the use of time lapse cinemicrography, we have compared the durations of mitotic stages of SV40/WI-38 and SV40/WI-26 cells to those of their normal counterparts and to other nontransformed human fibroblasts. We also examined the relative frequencies of the individual mitotic stages in fixed preparations of WI-38 and SV40/WI-38 cells. The data show that metaphase durations are increased in the transformed cells and as much as 3-4.7-fold in SV40/WI-38 cells compared to WI-38 and other nontransformed cells. Other stages are also prolonged though to lesser degrees. These findings suggest that increased metaphase/prophase ratios observed in many tumors are due to increases in duration of metaphase rather than to shorter prophases, and that increased mitotic indices commonly observed in malignant tumors and sometimes used as an index of growth rate are at least in part due to the prolongation of mitotic stages.