Kinetic Models of C3h Mouse Mammary Tumor Growth: Implications Regarding Tumor Cell Loss

Three models of tumor cell loss are described. the effects of cell loss on other cellular kinetic parameters are evaluated, and experiments which may distinguish among the models are discussed. Each model is based on a different cell-loss mechanism, and equations for the cell-cycle, cell-frequency distribution, the growth of both the proliferating and non-proliferating cell population, the growth fraction (GF), and the relative rate of volumetric growth, (dV/dt)/V, are derived. The following types of data are simulated for each model: the pulse labelling index, the mitotic index, and the labeling index as a function of time after a single or a series of ³H-TdR injections. the relative volumetric growth rate has the same mathematical form for each model. the PLM curves predicted by each model for the tumor lines studied (S102F and Slow) are not appreciably different. the predicted initial labeling index and mitotic index may differ significantly among the models depending upon the tumor line. the most striking difference among the models lies in the predictions regarding the labeling index as a function of time after a single or after a series of ³H-TdR injections. These types of labeling experiments should be valuable for distinguishing the different cell-loss mechanisms in solid tumors.     

Flow cytometric analysis of adriamycin-perturbed mouse mammary tumors.

The effects of a single intraperitoneal injection of adriamycin (10 mg/kg) on a fast-growing C3H mouse mammary tumor (S102F) have been analyzed volumetrically, biochemically, autoradiographically and flow cytometrically. Mathematical simulation of the data was also used to aid in the interpretation of the recovery kinetics. This dose of adriamycin did not induce regression in tumor volume but did inhibit the growth rate for 4-5 days. 3H-TdR incorporation was gradually inhibited to reach a low of 20% of control at 24 and 36 hr and then recovered back to control by 96 hr after adriamycin treatment. The flow cytometric analysis also showed a marked reduction in the relative fraction of cells in the S-phase with a minimum of 23% of control at 72 hr; however, in contrast to the 3H-TdR incorporation data, the fraction of cells in the S-phase was only at 39% of control at 96 hr after the adriamycin injection. Since the 3H-TdR incorporation data disagreed with the flow cytometry data, autoradiographic analysis was also done at selected times after the adriamycin injections, and qualitatively, this analysis confirms the flow cytometry data in that the labeling index was 29% of control at 96 hr after adriamycin. The mitotic index also dropped from 8 to 1%, respectively, for controls and at 96 hr posttreatment. The degenerate index was about 1% in control tumors and no increase was observed in treated tumors. Adriamycin-induced cell-cycle delay occurs predominately in G1 and G2 but there is also an apparent minor delay in the transit across the S-phase and some apparent cytotoxicity in G2 and/or M. The long delay in volumetric growth appears to be due to the extended cell-cycle delay rather than extensive cell killing.     

Cell proliferation in EMT6 tumors treated with single doses of x-rays or hydroxyurea. I. Experimental results

EMT6 mouse mammary tumors were treated in vivo with 5 mg/mouse of hydroxyurea (HU) or 300 rads of X-rays. The proliferation of the tumor cells was followed for 28 hr after treatment. Changes in the 3H-TdR labeling index, the mitotic index, the specific activity of the 3H-TdR-labeled DNA, and the proportion of suspended, clonogenic cells in the S phase of the cell cycle were examined and compared. Evidence was found for reassortment of the surviving cells in treated tumors into partially synchronous cohorts. The partial synchrony in the proliferation of the surviving cells was not accurately predicted by the changes in the labeling index and the mitotic index. The changes in DNA specific activity proved unacceptable as an indicator of cell proliferation in solid EMT6 tumors treated with low doses of radiation or HU.     

Cell Proliferation In Emt6 Tumors Treated With Single Doses of X-Rays Or Hydroxyurea. I. Experimental Results

EMT6 mouse mammary tumors were treated in vivo with 5 mg/mouse of hydroxyurea (HU) or 300 rads of X-rays. the proliferation of the tumor cells was followed for 28 hr after treatment. Changes in the ³H-TdR labeling index, the mitotic index, the specific activity of the ³H-TdR-labeled DNA, and the proportion of suspended, clonogenic cells in the S phase of the cell cycle were examined and compared. Evidence was found for reassortment of the surviving cells in treated tumors into partially synchronous cohorts. the partial synchrony in the proliferation of the surviving cells was not accurately predicted by the changes in the labeling index and the mitotic index. the changes in DNA specific activity proved unacceptable as an indicator of cell proliferation in solid EMT6 tumors treated with low doses of radiation or HU.     

CELL PROLIFERATION IN THE ERYTHROID COMPARTMENT OF GUINEA-PIG BONE MARROW: STUDIES WITH 3H-THYMIDINE

Single and multiple injections of ³H-TdR have been used for measuring the rate of proliferation in morphologically defined cell populations of guinea-pig bone marrow that are committed to erythroid differentiation. The conclusions are based on the analysis of absolute cell numbers in the maturational compartments, the labeling and mitotic indices, labeled mitotic curves, pulse and chase grain counts over dividing and interphase cells, and on the rate of labeling during multiple, repeated injections of ³H-TdR. The average duration of S and the rate of cycling is similar in all maturational compartments of the erythron. The majority of cells progress to the next maturational compartment by the time they divide for the second time. All proerythroblasts and basophilic erythroblasts are in cycle. Polychromatic erythroblasts incapable of incorporating ³H-TdR reach the orthochromatic population in the span of 5–6 hr. The orthochromatic population is renewed every 20–24 hr. The number of divisions between the proerythroblast and orthochromatic erythroblast does not exceed four and some cells may undergo only two divisions during the maturation pathway. Cell input from a progenitor cell population contributes to the maintenance of the erythron. The kinetic behavior of progenitor cells is similar to that of proerythroblasts. By the time of their second division, progenitor cells may reach either the proerythroblast or basophilic erythroblast compartments. The kinetic behavior of basophilic transitional cells corresponds to the predicted behavior of the erythroblast progenitor cell pool. Several of the conclusions are based on the assumption that grain count halving is the result of cell division. In view of the evidence discussed, this assumption in the present studies seems justified.     

Cell proliferation in the erythroid compartment of guinea-pig bone marrow: studies with 3H-thymidine.

Single and multiple injections of 3H-TdR have been used for measuring the rate of proliferation in morphologically defined cell populations of guinea-pig bone marrow that are committed to erythroid differentiation. The conclusions are based on the analysis of absolute cell numbers in the maturational compartments, the labeling and mitotic indices, labeled mitotic curves, pulse and chase grain counts over dividing and interphase cells, and on the rate or labeling during multiple, repeated injections of 3H-TdR. The average duration of S and the rate of cycling is similar in all maturational compartments of the erythrom. The majority of cells progress to the next maturational compartment by the time they divide for the second time. All proerythroblasts and basophilic erythroblasts are in cycle. Polychromatic erythroblasts incapable of incorporating 3H-TdR reach the orthochromatic population in the span of 5-6 hr. The orthochromatic population is renewed every 20-24 hr. The number of divisions between the proerythroblast and orthochromatic erythroblast does not exceed four and some cells may undergo only two divisions during the maturation pathway. Cell input from a progenitor cell population contributes to the maintenance of the erythron. The kinetic behavior of progenitor cells is similar to that of proerythroblasts. By the time of their second division, progenitor cells may reach either the proerythroblast or basophilic erythroblast compartments. The kinetic behavior of basophilic transitional cells corresponds to the predicted behavior of the erythroblast progenitor cell pool. Several of the conclusions are based on the assumption that grain count halving is the result of cell division. In view of the evidence discussed, this assumption in the present studies seems justified.     

Changes in cellularity induced by radiation in a solid tumour.

The growth, and cellular responses of Morris hepatoma 3924 A to a locally-administered dose of 3750 R X-rays were studied using the following parameters; (1) relative tumour volume changes; (2) tritiated thymidine (3H-TdR) incorporation into DNA; (3) tumour DNA content and (4) cellular analysis, including 3H-TdR labelling index, mitotic index, aberrant mitotic frequency and relative cell density. Before depression of tumour growth, cell proliferation is temporarily interuppted. As proliferation is reinitiated, a short-lived synhcrony and prolongation of cell-cycle traverse are reflected in (a) the labelling index and mitotic index, (b) the relative cell density, and (c) the rate of incorporation of 3H-TdR into DNA. Within 4 days after radiation, cell proliferation and 3H-TdR incorporation are significantly depressed. Simultaneously there are reductions in both the relative cell density and tumour DNA contents, and these remain depressed as the tumours initiate regression. From these studies, it is apparent that the cellular responses to radiation insult occur well in advance of measurable volume changes and are observed both in tumours that continue to regress and in those that initiate regrowth.     

POST-MITOTIC AGE OF MONONUCLEAR CELLS MIGRATING INTO TA-3(St) SOLID TUMORS

Subcutaneous transplantation of 5 × 10⁶ TA-3(St) mammary carcinoma cells into A/J mice produced rapidly growing tumors that showed a substantial accumulation of lymphocytes, monocytes and macrophages. This must have resulted primarily from an influx of circulating cells, since none of the cell types exhibited any significant local proliferation as indicated by 1 hr ³H-TdR uptake. The post mitotic age of the various leukocyte types in circulation of normal and tumor bearing animals, and those appearing within the tumors, was evaluated by a repeated ³H-TdR labeling protocol designed to label newly formed leukocytes. Tumor transplantation (or injection of an equivalent volume of saline in control animals) was preceded by thirteen ³H-TdR injections (12.5 μCi every 8 hr) and followed by eight more injections at equivalent intervals. Animals were serially sacrificed at 5-14 days after tumor transplantation or saline injection. Total lymphocyte labeling in the blood during these intervals was higher in tumor bearing mice (approximately 25% between 5 and 12 days) than in the saline injected controls (approximately 20%), indicating that tumor transplantation resulted in an increase in the proportion of young lymphocytes in circulation. More significantly, a much higher labeling (57-60% at 5-12 days) was exhibited by lymphocytes isolated from the tumors, indicating selective migration (and/or retention) of newly formed lymphocytes within the tumor. This finding applied to lymphocytes in all size categories. Although blood monocyte labeling in the control and experimental animals was similar (e.g. 83% at day 5 and 52% at day 14), significantly higher labeling (e.g. 93% and 70% at the respective intervals) was exhibited by monocytes isolated from tumors. This suggested a preferential accumulation of young monocytes at the tumor site. An identical macrophage labeling pattern compared to that shown by monocytes within the tumor indicated a rapid monocyte-macrophage transition. Since these findings in the present strain-specific solid tumor are similar to those previously obtained in this laboratory in the strain-nonspecific Ehrlich ascites tumor, the phenomenon of selective localization of newly formed mono-nuclear leukocytes appears to be a general occurrence in transplanted murine tumors.     

Interference of MHV3 virus on ascites tumor growth.

In this experimental study the Authors have evaluated the interference of MHV3 hepatitis virus on Ascites Tumor's growth, using 4 groups of mice, the first one considered as control, the others inoculated with the virus 48 hours before, at the same time and 48 hours after tumor's inoculation. In each group labeling index, mitotic index and ascites volume were assessed a week after tumor's inoculation. The results seem to reveal an inhibition of tumor's growth in the second group. For this reason on the base of these encouraging observation, the Authors will continue researches to further confirm these preliminary results.     

黄芫花提取物对V79细胞和WB肝细胞的生物...：1....

A Chinese herb, wikstroemia Chamaedaphen (WC) extract, recently has been shown to be a potential tumor promoting agent on uterine cervical carcinoma induced by HSV-2 or MCA in mice. To determine whether the tumor promoting effects of WC extract were mediated through inhibition of gap junctional intercellular communication (GJIC) with relation to cellular growth, experiments were conducted on Chinese hamster V79 cells and rat WB liver cells by utilization of SLDT method for GJIC detection and cell growth curve examination, 3H-TdR incorporation, mitotic index (MI) and Flow Cytometry (FCM) methods. TPA was used for comparative purpose. WC extract inhibited GJIC and stimulated cell growth in a dose (2-200 micrograms/ml) and time (0-72 hr)-dependent manner in both cell lines. Both WC extract and TPA treatments increased V79 cell growth rate. The average cell doubling-time was decreased from 36.5 hr in control V79 cells to 28.2 hr in WC extract (10 micrograms/ml) and 20.9 hr in TPA (50 ng/ml) treatment by the 3rd day. Stimulating effect of both drugs on DNA synthesis of V79 cells was demonstrated. The results of FCM and MI indicated that the cell number of M-phase cells was increased after drug treatment. It is suggested that (1) tumor promoting effect of WC extract might be mediated through inhibition of GJIC: (2) inhibition of GJIC is closely correlated with increased cell growth rate and entry of cell division cycle.     

Epidermal proliferation characteristics are similar in the pilary canal of mouse hair follicles and in interfollicular epidermis

Proliferation characteristics of basal cells in the pilary canal of resting hair follicles were investigated and compared with corresponding parameters in interfollicular epidermis of hairless mice. The mitotic rates had similar 24-h means at both locations. Distinct circadian rhythms which showed phasing and amplitudes similar to that in interfollicular epidermis, were demonstrated by the 3H-TdR labelling index, the mitotic rate and the mitotic index. Influx of cells to and efflux of cells from the S phase were measured in the early morning and in the evening by a 3H-TdR double labelling method. The influx values were similar at both times of both locations. The efflux values recorded in the morning were more than twice the values seen in the evening in both the pilary canal and in interfollicular epidermis. The epidermal motitic rate in the pilary canal was depressed by epidermal extracts, and increased after adhesive tape stripping in the same way as in interfollicular epidermis. The results indicate no heterogeneity in cell proliferation characteristics between the two locations, and suggest that similar mechanisms are responsible for maintainance of growth equilibrium at both sites.     

DNA polymerases during tumor growth

DNA polymerase activity was studied as a function of stage of tumor growth and correlated with DNA synthesis measured by 3H-TdR uptake. Considerable variations in DNA synthesis activity occur at different growth stages and following host death. DNA alpha-polymerase activity did vary with growth stage in the ascites tumor. However, it did not have a clear correlation with DNA synthesis or with tumor growth. No striking fall in DNA polymerase enzyme levels occurred as the ascites tumor reached stationary phase in contrast to reports in some cell culture systems. A decrease occurred with advanced tumor stage and after host death. DNA beta-polymerase activity did not change with tumor growth stage.     

CELL CYCLE TIME DETERMINATIONS BASED ON LIQUID SCINTILLATION COUNTING OF 3H-TdR LABELED MITOTIC CELLS

Following a 10 min pulse labeling with ³H-TdR, flasks of asynchronous monolayer cultures of Chinese hamster ovary cells were subjected to mitotic selection at 2 hr intervals. The mitotic index of the selected populations was always greater than 90%. Counts per min per cell obtained by liquid scintillation counting were plotted versus time after the pulse label. Comparisons were made between cycle times obtained by the mitotic-scintillation counting method and by the standard per cent labeled mitosis technique. The resulting curves were used for calculations of the cell cycle times and the lengths of G₁, S, G₂ and M phases of the cell cycle. There was less than 2% difference in the cell cycle times obtained using the scintillation method as compared to times calculated from autoradiographic data obtained from individual petri dishes. The mitotic-scintillation counting technique is simple, accurate and rapid and allows the calculation of the cell kinetics parameters within 1 hr of the end of the experiment.     

The cell kinetics of the adaptation of the human esophagus to organ culture

Summary The adaptation of normal human esophageal explants to organ culture for the first 33 d of in vitro growth was evaluated using histomorphology and [³H]TdR autoradiography combined with mitotic blockade. On the 3rd d in culture, extensive desquamation of superficial cells reduced the epithelium to about four cell layers. Thereafter, the epithelium remained atrophic, with a relative increase in basal and suprabasal cells. The percentage of cells synthesizing DNA was greatest from Day 4 through 8, just after desquamation, and reached a maximum on Day 4 (24 h [³H]TdR labeling index of 62%). The labeling index (LI) fluctuated, thereafter, but remained high (26% on Day 33). During the last 6 h of each [³H]TdR labeling interval, mitosis was blocked by colcemid. The 6 h mitotic rate (MR) was a reasonably constant fraction of the LI (maximum at 4 d: MR=1.44%), but was much lower than predicted by [³H]TdR labeling indicating the loss of large numbers of cells after DNA synthesis but before or during mitosis. Unlabeled mitotic figures appeared between Days 1 to 3 and 6 to 33, suggesting that the epithelium initially contained a considerable population of cells arrested or delayed in G₂ and continued to generate cells that remained in premitosis longer than 24 h. These results indicate that the atrophy observed in vitro is characterized by a relative increase in the basal and suprabasal cell category, a high replication rate, initial recruitment of cells arrested in premitosis, and rapid cell turnover with significant loss of cells at the premitotic or mitotic step, or both. Thus it seems that human esophageal epithelium grown in organ culture is a satisfactory substrate for experimentation (for example, in vitro carcinogenesis) that requires cell replication. However, there are major differences between the kinetics of esophageal epithelium in vivo and in vitro. Supported in part by Contract NOI-CP-75909 and NOI-CP-25604-59 from the National Cancer Institute, Bethesda, MD.     

A 3-D model of tumor progression based on complex automata driven by particle dynamics

The dynamics of a growing tumor involving mechanical remodeling of healthy tissue and vasculature is neglected in most of the existing tumor models. This is due to the lack of efficient computational framework allowing for simulation of mechanical interactions. Meanwhile, just these interactions trigger critical changes in tumor growth dynamics and are responsible for its volumetric and directional progression. We describe here a novel 3-D model of tumor growth, which combines particle dynamics with cellular automata concept. The particles represent both tissue cells and fragments of the vascular network. They interact with their closest neighbors via semi-harmonic central forces simulating mechanical resistance of the cell walls. The particle dynamics is governed by both the Newtonian laws of motion and the cellular automata rules. These rules can represent cell life-cycle and other biological interactions involving smaller spatio-temporal scales. We show that our complex automata, particle based model can reproduce realistic 3-D dynamics of the entire system consisting of the tumor, normal tissue cells, blood vessels and blood flow. It can explain phenomena such as the inward cell motion in avascular tumor, stabilization of tumor growth by the external pressure, tumor vascularization due to the process of angiogenesis, trapping of healthy cells by invading tumor, and influence of external (boundary) conditions on the direction of tumor progression. We conclude that the particle model can serve as a general framework for designing advanced multiscale models of tumor dynamics and it is very competitive to the modeling approaches presented before.     

DYNAMICS OF LEUKOCYTE MIGRATION INTO THE MOUSE ASCITES TUMOR

There is a marked increase in the number of peritoneal leukocytes (lymphocytes, monocytes and granulocytes) during the growth of Ehrlich ascites tumor in mice. No local proliferation (as indicated by a labeling at 1 hr following a single ³H-TdR injection) was observed in the normal peritoneal leukocytes or those in the ascites tumor, except for a very minor labeling of some tumor macrophages. Kinetics of peritoneal leukocytes was studied with a series of twelve injections of ³H-thymidine (20 μCi every 8 hr) in normal mice as well as mice injected with 10⁶ tumor cells i.p. 2 hr after the last ³H-TdR injection. Animals were sacrificed at intervals up to 6 days. Granulocyte labeling in the blood as well as peritoneal space was near 100% in both groups of animals at all the intervals. Temporal changes in the labeling of lymphocytes (from 10% at 0 day to 22% at day 6), and monocytes (from 20% at 0 day to 57% at day 6) were identical in the blood and peritoneal space of normal animals, indicating a free exchange of cells between these compartments. Higher labeling indices than those in the controls were attained in the blood of tumor-bearing hosts (viz 40% for lymphocytes and 80% for monocytes at 6 days) suggesting an increased turnover of these cells in the circulation. In addition, peritoneal mononuclear cells of tumor-bearing mice showed even a higher labeling than those in the blood (viz 65% for lymphocytes and 92% for monocytes at 6 days) indicating a selective migration and/or retention of newly formed cells within the tumor, in contrast to a random migration into the normal peritoneal cavity. Furthermore, an identical labeling of macrophages to that of monocytes within the tumor indicated a short monocyte-macrophage transition. The preferential accumulation of young mononuclear cells into the tumor may be of functional importance.     

Quantification of tumor cellularity and mitotic index in invasive ductal carcinoma of the breast

OBJECTIVE: To evaluate the use of stereologically estimated tumor cell counts in the mitotic index as well as to investigate its correlation with the currently used method and test the reproducibility of the method. STUDY DESIGN: The stereologic method described by Simpson et al was used to estimate tumor cellularity in 50 invasive ductal carcinomas. Mitotic counts were also performed, and the mitotic index was calculated by the use of estimated tumor cell counts. Estimated cell counts and the mitotic index calculated were compared statistically with the actual cell counts and the traditional mitotic grades, respectively. Interobserver reproducibility of the method was also tested. RESULTS: Stereologically estimated tumor cell counts had a good correlation with actual cell counts (r = .891, P < .001). Besides, the mitotic indices calculated with tumor cell counts (calculated with both estimated and actual cell counts) in the denominator of the fraction of the mitotic index were in agreement with the currently used method (P < .01 for both). There was no statistically significant difference between the counts of two observers (P = .068). CONCLUSION: The suggested method, considering tumor cellularity as an influencing factor, was practical, reproducible and in agreement with the traditional method. This method should be studied in a large group of patients with follow-up data to determine the threshold values for different grades and determine its prognostic value during the disease course.     

Characteristics of the isoprenaline stimulated proliferative response of rat submaxillary gland.

A simple stochastic model has been developed to determine the cell cycle kinetics of the isoprenaline stimulated proliferative response in rat acinar cells. The response was measured experimentally, using 3H-TdR labelling of interphase cells and cumulative collections of mitotic cells with vincristine. The rise and fall of the fraction of labelled interphase cells and of metaphase cells is expressed by the product of the proliferative fraction and a difference of probability distributions. The probability statements of the model were formulated and then compared by an iterative fitting procedure to experimental data to obtain estimates of the model parameters. The model when fitted to the combined fraction labelled interphase (FLIW) and fraction metaphase (FMWa) waves gave a mean Gis transit time of 21-2 hr, mean Gis +S transit time of 27-0 hr, and mean Gis + S + G2 transit time of 35-8 hr for a single injection of isoprenaline, where Gis is the initiation to S phase time. When successive injections of isoprenaline were given at intervals of 24 and 28 hr the corresponding values after the third injection were 12-4 hr, 20-8 hr and 25-7 hr respectively. The variance of the Gis phase dropped from 18-1 to 1-3 while the other variances remained unchanged. The estimated proliferative fraction was 0-24 after a single injection of isoprenaline, and 0.31 after three injections of the drug. Independently determined values of the proliferative fraction, obtained from repeated 3H-TdR injections, were 0-21 and 0-36 respectively.     

Intestinal crypt proliferation. II. Computer modelling of mitotic index data provides further evidence for lateral and vertical cell migration in the absence of mitotic activity

The position-dependent mitotic index before, and 1, 2 and 3 h after vincristine was scored. The accumulation of cells in mitosis leads to an increase in the mitotic index from 0.06 to 0.34 at crypt positions 8-12. Surprisingly, the leading edge of the position-related mitotic index distribution moves to higher crypt positions although cell division was stopped. In addition, the vertical clustering of mitotic figures in sections was recorded. The data were examined using a previously described computer crypt model. We conclude: the average mitotic phase duration is about 0.7 h (40 min) and varies little with cell position; the geometrical correction factor for overscoring mitoses in crypt sections is about 0.6-0.7 and adjacent cell columns can merge. Lateral cell displacement after mitosis, as predicted in a previous model analysis, would be a mechanism to counteract other forces that tend to reduce the crypt circumference. In the normal steady state merging and expansion processes would just balance each other. This would not follow if one mechanism was blocked. Thus we propose a new concept in which the crypt geometry would be dynamically determined by cell proliferative activity in connection with lateral positioning of new cells on one hand and contracting forces on the other hand.