A novel population balance model to investigate the kinetics of in vitro cell proliferation: part I. Model development

In biotechnology and biomedicine reliable models of cell proliferation kinetics need to capture the relevant phenomena taking place during the mitotic cycle. To this aim, a novel mathematical model helpful to investigate the intrinsic kinetics of in vitro culture of adherent cells up to confluence is proposed in this work. Specifically, the attention is focused on the simulation of proliferation (increase of cell number) and maturation (increase of cell size and DNA content) till contact inhibition eventually takes place inside a Petri dish. Accordingly, the proposed model is based on a population balance (PB) approach that allows one to quantitatively describe cell cycle progression through the different phases the cells of the entire population experienced during their own life. In particular, the proposed model has been developed as a 2D, multi-staged, and unstructured PB, by considering a different sub-population of cells for any single phase of the cell cycle. These sub-populations are discriminated through cellular volume and DNA content, that both increase during the mitotic cycle. The adopted mathematical expressions of the transition rates between two subsequent phases and the temporal increase of cell volume and DNA content are thoroughly analyzed and discussed with respect to those ones available in the literature. Specifically, the corresponding uncertainties and pitfalls are pointed out, by also taking into account the difficulties and the limitations involved in the quantitative measurements currently practicable for these biological systems. A novel mathematical expression for contact inhibition in line with the PB model developed is also formulated, along with a proper comparison between modeled and measurable DNA distributions. The strategy for a reliable, independent tuning of the adjustable parameters involved in the proposed model along with its numerical solution is outlined in Part II of this work, where it is also shown how it can be profitably used to gain a deeper insight into the phenomena involved during cell cultivation under microgravity conditions.     

Contribution of caspase(s) to the cell cycle regulation at mitotic phase

Caspases have been suggested to contribute to not only apoptosis regulation but also non-apoptotic cellular phenomena. Recently, we have reported the involvement of caspase-7 to the cell cycle progression at mitotic phase by knockdown of caspase-7 using small interfering RNAs and short hairpin RNA. Here we showed that chemically synthesized broad-spectrum caspase inhibitors, which have been used to suppress apoptosis, prevented the cell proliferation in a dose-dependent manner, and that the subtype-specific peptide-based caspase inhibitor for caspase-3 and -7, but not for caspase-9, inhibited cell proliferation. It was also indicated that the BIR2 domain of X-linked inhibitor of apoptosis protein, functioning as an inhibitor for caspase-3 and -7, but not the BIR3 domain which plays as a caspase-9 inhibitor, induced cell cycle arrest. Furthermore, flow cytometry revealed that the cells treated with caspase inhibitors arrested at G(2)/M phase. By using HeLa.S-Fucci (fluorescent ubiquitination-based cell cycle indicator) cells, the prevention of the cell proliferation by caspase inhibitors induced cell cycle arrest at mitotic phase accompanying the accumulation of the substrates for APC/C, suggesting the impairment of the APC/C activity at the transition from M to G(1) phases. These results indicate that caspase(s) contribute to the cell cycle regulation at mitotic phase.     

Effect of 12-hydroxy-9(Z)-dodecenoic acid on growth and cell division in pea roots

It is known that potential bioregulators may be present among lipoxygenase oxidation products. A possibility of mitotic cycle regulation by 12-hydroxy-9(Z)-dodecenic acid (12-HDA) and also its influence on the growing function (seed germination, root and epicotyl growth) have been studied. It has been determined that 12-HDA activity is directed to the strengthening of growing function which allowed to suppose that oxylipin is capable of regulating cell division. 12-HDA participation in the mitotic cycle regulation were determined by the originally developed test system using simultaneously light microscopy. The concentration and temporal dependencies of cell division were studied under the influence of 12-HDA. The raise of mitosis (up to 17.5 times) has been registered in comparison with the control variant by the least concentration of 12-HDA (10(-9) M) up to the 4th h of influence, confirming oxypilin participation in mitotic cycle regulation.     

Sensitivity of flow cytometric data to variations in cell cycle parameters

Abstract We investigated to what extent flow cytometric DNA histograms are informative of cell cycle parameters. We created a computer program to simulate cell cycle progression in a generic and flexible way. Various scenarios, characterized by different models and distributions of cell cycle phase transit times, have been analysed in order to obtain the percentages of cells in the different cell cycle phases during exponential growth and their time course after mitotic block.
Cell percentages during exponential growth were insensitive to intercell variability in phase transit times and thus can be employed to estimate the relative mean phase transit times, even in the presence of non-cycling cells. However, this information is ambiguous if re-entry of such cells into the cycling status is permitted. The stathmokinetic outline gives the mean phase transit times, but also provides information about the spread, but not the form, of the phase transit time distributions, being particularly sensitive to the spread of G1 phase duration. The stathmokinetic outline also helps distinguish between scenarios considering only cycling cells, those forecasting a fraction of definitively non-cycling cells and those admitting a Go status with first-order output kinetics.     

Sensitivity of flow cytometric data to variations in cell cycle parameters

We investigated to what extent flow cytometric DNA histograms are informative of cell cycle parameters. We created a computer program to simulate cell cycle progression in a generic and flexible way. Various scenarios, characterized by different models and distributions of cell cycle phase transit times, have been analysed in order to obtain the percentages of cells in the different cell cycle phases during exponential growth and their time course after mitotic block. Cell percentages during exponential growth were insensitive to intercell variability in phase transit times and thus can be employed to estimate the relative mean phase transit times, even in the presence of non-cycling cells. However, this information is ambiguous if re-entry of such cells into the cycling status is permitted. The stathmokinetic outline gives the mean phase transit times, but also provides information about the spread, but not the form, of the phase transit time distributions, being particularly sensitive to the spread of G1 phase duration. The stathmokinetic outline also helps distinguish between scenarios considering only cycling cells, those forecasting a fraction of definitively non-cycling cells and those admitting a G0 status with first-order output kinetics.     

Three-dimensional ultrastructural and immunohistochemical study of immature neurons in the subgranular zone of the rat dentate gyrus

The present study is devoted to three-dimensional ultrastructural organization of mitotically dividing immature neurons in dentate gyrus using biophysical approaches. In adult vertebrate brain, cell proliferation persists throughout life mainly in dentate gyrus of the hippocampus (DG) and olfactory bulb. Neurogenesis has been demonstrated using tagged thymidine analogues incorporated into the S phase of the cell cycle, but these may also detect repaired DNA in postmitotic neurons. Recent retroviral labelling has shown that neuronal progenitors/neuroblasts divide and produce functional neurons. Providing ultrastructural evidence of mitotically active cells has proven problematical, not only because of technical issues of identifying dividing cells at electron microscope level, but also because it is difficult to demonstrate unequivocally that neurons identified in the electron microscope are really post mitotic. However by characterising post mitotic cells labelled with BrdU and doublecortin and comparing these with post mitotic cells reconstructed in 3-dimensions from ultrathin serial sections, we have been able to illustrate individual mitotic elements and phases of cells within the GC layer of adult rat dentate gyrus. Here we show dividing cells in metaphase within clusters of immature GCs in subgranular zone (SGZ). These reconstructions provide ultrastructural confirmation that cells expressing doublecortin (DCX), a microtubule-associated protein expressed in migrating neurons, localize as clusters in the subgranular zone (SGZ) of dentate gyrus (DG) in the hippocampus during all animal life. Such DG cells with clear synaptic specializations, somatic spines and basal dendrites are exclusive to immature GC that appear to re-enter the cell cycle, suggesting the possibility that newly generated neurons within the DG might arise not only from precursors, but also from clusters of immature GC.     

Induction of yeast histone genes by stimulation of stationary-phase cells.

In the cell cycle of the budding yeast Saccharomyces cerevisiae, expression of the histone genes H2A and H2B of the TRT1 and TRT2 loci is regulated by the performance of "start," the step that also regulates the cell cycle. Here we show that histone production is also subject to an additional form of regulation that is unrelated to the mitotic cell cycle. Expression of histone genes, as assessed by Northern (RNA) analysis, was shown to increase promptly after the stimulation, brought about by fresh medium, that activates stationary-phase cells to reenter the mitotic cell cycle. The use of a yeast mutant that is conditionally blocked in the resumption of proliferation at a step that is not part of the mitotic cell cycle (M.A. Drebot, G.C. Johnston, and R.A. Singer, Proc. Natl. Acad. Sci. 84:7948, 1987) showed that this increased gene expression that occurs upon stimulation of stationary-phase cells took place in the absence of DNA synthesis and without the performance of start. This stimulation-specific gene expression was blocked by the mating pheromone alpha-factor, indicating that alpha-factor directly inhibits expression of these histone genes, independently of start.     

Id2a influences neuron and glia formation in the zebrafish retina by modulating retinoblast cell cycle kinetics

Inhibitor of differentiation (Id) family helix-loop-helix proteins regulate the proliferation, survival and differentiation of numerous cell types during development; however, their functions during retinal development have not been analyzed. Using loss-of-function and overexpression assays in zebrafish, we demonstrate that Id2a levels modulate retinoblast cell cycle kinetics and thereby influence neuron and glia formation in the retina. Id2a-deficient retinas possess increased numbers of cells occupying S phase, at the expense of mitotic cells, and kinetic analyses demonstrate that Id2a is required for S-phase progression and/or the transition from S to M phase. Id2a-dependent defects in retinoblast proliferation lead to microphthalmia and to an absence of nearly all differentiated inner and outer nuclear layer cell types. Overexpression of id2a has the opposite effect on retinoblast cell cycle kinetics: id2a-overexpressing retinoblasts progress from S to M phase more rapidly and they undergo mitosis more frequently, which results in macrophthalmia. Mosaic analyses reveal that Id2a function in facilitating both cell cycle progression and neuronal differentiation in the retina is non-cell-autonomous, suggesting that Id2a functions upstream of the extrinsic pathways that regulate retinogenesis.     

A review on synthetic chalcone derivatives as tubulin polymerisation inhibitors

Microtubules play an important role in the process of cell mitosis and can form a spindle in the mitotic prophase of the cell, which can pull chromosomes to the ends of the cell and then divide into two daughter cells to complete the process of mitosis. Tubulin inhibitors suppress cell proliferation by inhibiting microtubule dynamics and disrupting microtubule homeostasis. Thereby inducing a cell cycle arrest at the G2/M phase and interfering with the mitotic process. It has been found that a variety of chalcone derivatives can bind to microtubule proteins and disrupt the dynamic balance of microtubules, inhibit the proliferation of tumour cells, and exert anti-tumour effects. Consequently, a great number of studies have been conducted on chalcone derivatives targeting microtubule proteins. In this review, synthetic or natural chalcone microtubule inhibitors in recent years are described, along with their structure-activity relationship (SAR) for anticancer activity.     

Inhibition of cell proliferation and cell cycle progression by specific inhibition of basal JNK activity: evidence that mitotic Bcl-2 phosphorylation is JNK-independent

The c-Jun NH(2)-terminal kinase (JNK) subgroup of mitogen-activated protein kinases has been implicated largely in stress responses, but an increasing body of evidence has suggested that JNK also plays a role in cell proliferation and survival. We examined the effect of JNK inhibition, using either SP600125 or specific antisense oligonucleotides, on cell proliferation and cell cycle progression. SP600125 was selective for JNK in vitro and in vivo versus other kinases tested including ERK, p38, cyclin-dependent protein kinase 1 (CDK1), and CDK2. SP600125 inhibited JNK activity and KB-3 cell proliferation with the same dose dependence, suggesting that inhibition of proliferation was a direct consequence of JNK inhibition. Inhibition of proliferation by SP600125 was associated with an increase in the G(2)-M and apoptotic fractions of cells but was not associated with p53 or p21 induction. Antisense oligonucleotides to JNK2 but not JNK1 caused highly significant inhibition of cell proliferation. Wild-type mouse fibroblasts responded similarly with proliferation inhibition and apoptosis induction, whereas c-jun(-/-) fibroblasts were refractory to the effects of SP600125, suggesting that JNK signaling to c-Jun is required for cell proliferation. Studies in synchronized KB-3 cells indicated that SP600125 delayed transit time through S and G(2)-M phases. Correspondingly, JNK activity increased in late S phase and peaked in late G(2) phase. During synchronous mitotic progression, cyclin B levels increased concomitant with phosphorylation of c-Jun, H1 histone, and Bcl-2. In the presence of SP600125, mitotic progression was prolonged, and c-Jun phosphorylation was inhibited, but neither H1 nor Bcl-2 phosphorylation was inhibited. However, the CDK inhibitor roscovitine inhibited mitotic Bcl-2 phosphorylation. These results indicate that JNK, and more specifically the JNK2 isoform, plays a key role in cell proliferation and cell cycle progression. In addition, conclusive evidence is presented that a kinase other than JNK, most likely CDK1 or a CDK1-regulated kinase, is responsible for mitotic Bcl-2 phosphorylation.     

Cell cycle and apoptosis: Common pathways to life and death

Programmed cell death, or apoptosis, is a highly regulated process used to eliminate unwanted or damaged cells from multicellular organisms. The morphology of cells undergoing apoptosis is similar to cells undergoing both normal mitosis and an aberrant form of mitosis called mitotic catastrophe. During each of these processes, cells release substrate attachments, lose cell volume, condense their chromatin, and disassemble the nuclear lamina. The morphological similarities among cells undergoing these processes suggest that the underlying biochemical changes also may be related. The susceptibility of cells to apoptosis frequently depends on the differentiation state of the cell. Additionally, cell cycle checkpoints appear to link the cell cycle to apoptosis. Deregulation of the cell cycle components has been shown to induce mitotic catastrophe and also may be involved in triggering apoptosis. Some apoptotic cells express abnormal levels of cell cycle proteins and often contain active Cdc2, the primary kinase active during mitosis. Although cell cycle components may not be involved in all forms of apoptosis, in many instances cell proliferation and cell death may share common pathways.     

Mode of estrogen action on cell proliferation in CAMA-1 cells: II. Sensitivity of G1 phase population

The mammary cancer cell line CAMA-1 synchronized at the G1/S boundary by thymidine block or at the G1/M boundary by nocodazole was used to evaluate 1) the sensitivity of a specific cell cycle phase or phases to 17 beta-estradiol (E2), 2) the effect of E2 on cell cycle kinetics, and 3) the resultant E2 effect on cell proliferation. In synchronized G1/S cells, E2-induced 3H-thymidine uptake, which indicated a newly formed S population, was observed only when E2 was added during, but not after, thymidine synchronization. Synchronized G2/M cells, enriched by Percoll gradient centrifugation to approximately 90% mitotic cells, responded to E2 added immediately following selection; the total E2-treated population traversed the cycle faster and reached S phase approximately 4 hr earlier than cells not exposed to E2. When E2 was added during the last hour of synchronization (ie, at late G2 or G2/M), or for 1 hr during mitotic cell enrichment, a mixed response occurred: a small portion had an accelerated G1 exit, while the majority of cells behaved the same as controls not incubated with E2. When E2 addition was delayed until 2 hr, 7 hr, or 12 hr following cell selection, to allow many early G1 phase cells to miss E2 exposure, the response to E2 was again mixed. When E2 was added during the 16 hr of nocodazole synchronization, when cells were largely at S or possibly at early G2, it inhibited entry into S phase. The E2-induced increase or decrease of S phase cells in the nocodazole experiments also showed corresponding changes in mitotic index and cell number. These results showed that the early G1 phase and possibly the G2/M phase are sensitive to E2 stimulation, late G1, G1/S, or G2 are refractory; the E2 stimualtion of cell proliferation is due primarily to an increased proportion of G1 cells that traverse the cell cycle and a shortened G1 period, E2 does not facilitate faster cell division; and estrogen-induced cell proliferation or G1/S transition occurs only when very early G1 phase cells are exposed to estrogen. These results are consistent with the constant transition probability hypothesis, that is, E2 alters the probability of cells entering into DNA synthesis without significantly affecting the duration of other cell cycle phases. Results from this study provide new information for further studies aimed at elucidating E2-modulated G1 events related to tumor growth.     

Automatic digital image analysis for identification of mitotic cells in synchronous mammalian cell cultures

Mitotic frequency in a synchronous culture of mammalian cells was determined fully automatically and in real time using low-intensity phase-contrast microscopy and a newvicon video camera connected to an EyeCom III image processor. Image samples, at a frequency of one per minute for 50 hours, were analyzed by first extracting the high-frequency picture components, then thresholding and probing for annular objects indicative of putative mitotic cells. Both the extraction of high-frequency components and the recognition of rings of varying radii and discontinuities employed novel algorithms. Spatial and temporal relationships between annuli were examined to discern the occurrences of mitoses, and such events were recorded in a computer data file. At present, the automatic analysis is suited for random cell proliferation rate measurements or cell cycle studies. The automatic identification of mitotic cells as described here provides a measure of the average proliferative activity of the cell population as a whole and eliminates more than eight hours of manual review per time-lapse video recording.     

The simulation of thymidine kinase enzyme kinetics in cultured cells using the computer language cellsim

Thymidine kinase is an enzyme that occurs in cells actively synthesizing DNA. In studies of synchronized cell populations, it has been shown that the enzyme activity disappears during the G1 phase of the cell cycle and reappears during the S and G2 phases. Its reappearance is consistent with the synthesis of the mRNA for this enzyme during the S and G2 phases and its immediate translation into active enzyme by the protein synthesis machinery within the cell. The disappearance of the enzyme is consistent with the cessation of mRNA synthesis by mitotic cells. We have now tested this concept by computer simulation of a growing cell population in which a specific mRNA is generated while cells are in the S and G2 phases of the cell cycle. The computer simulation was done using the simulation language Cellsim designed for modeling populations of cells. The Cellsim program which we developed allowed each cell to make about 1 mRNA molecule per min during the S and G2 phases. Every 3 min each mRNA molecule generated a protein enzyme molecule. The mRNA had a half-life of about 9 min, and the enzyme had a half-life of about 150 min. When these molecular parameters were coupled to the cell cycle parameters for Chinese hamster fibroblasts, the resulting curve of enzyme production with time closely matched the observed kinetics of enzyme activity seen in synchronized cells. The only part of the curve that did not fit was the rapid drop in enzyme activity which was seen as the population of mitotic cells was permitted to enter G1. This drop in activity was not seen in mitotic cells blocked with Colcemid where mRNA synthesis must be lacking. Earlier studies have shown that the Gl cells do not contain any inhibitor of enzyme activity. It therefore appears that the enzyme molecule is more unstable during the G1 phase than in any of the other phases of the cell cycle.     

Ion channels and transporters in cancer. 1. Ion channels and cell proliferation in cancer

Progress through the cell mitotic cycle requires precise timing of the intrinsic molecular steps and tight coordination with the environmental signals that maintain a cell into the proper physiological context. Because of their great functional flexibility, ion channels coordinate the upstream and downstream signals that converge on the cell cycle machinery. Both voltage- and ligand-gated channels have been implicated in the control of different cell cycle checkpoints in normal as well as neoplastic cells. Ion channels mediate the calcium signals that punctuate the mitotic process, the cell volume oscillations typical of cycling cells, and the exocytosis of autocrine or angiogenetic factors. Other functions of ion channels in proliferation are still matter of debate. These may or may not depend on ion transport, as the channel proteins can form macromolecular complexes with growth factor and cell adhesion receptors. Direct conformational coupling with the cytoplasmic regulatory proteins is also possible. Derangement or relaxed control of the above processes can promote neoplasia. Specific types of ion channels have turned out to participate in the different stages of the tumor progression, in which cell heterogeneity is increased by the selection of malignant cell clones expressing the ion channel types that better support unrestrained growth. However, a comprehensive mechanistic picture of the functional relations between ion channels and cell proliferation is yet not available, partly because of the considerable experimental challenges offered by studying these processes in living mammalian cells. No doubt, such studies will constitute one of the most fruitful research fields for the next generation of cell physiologists.     

Expression of proliferation associated antigens in the cell cycle of synchronized mammalian cells.

Flow cytometric bivariate analysis was used to investigate the expression of PCNA, p120 and p145 during the cell cycle of a mammalian cell line (CHO-K1). Initially, aliquots of cells in exponential and plateau (G0) phase were analyzed for proliferation associated antigen expression. Expression of PCNA and p145 during G0 was markedly depressed (less than 12% positive) while 54% of the G0 cells stained positive for p120. The fluorescent intensity (mean channel fluorescence) of these G0 positive p120 cells, however, was only slightly above the mean channel fluorescence (MCF) of cells stained with a negative isotype control. In asynchronous cultures, all three antigens were expressed in greater than 70% of the cells, with PCNA staining being greater than 95%. Cells were then synchronized using mitotic selection (mitotic index of 97%) and antigen levels were measured as cells progressed synchronously through the cell cycle. From DNA analysis histograms, it appeared that the degree of synchrony was approximately 90% throughout the remainder of the cell cycle. The bivariate DNA/PCNA, DNA/p120, and DNA/p145 histograms for mitotic cells indicated that both p120 and p145 expression were elevated (percent positive and MCF) while PCNA levels were near controls (MCF). In early G1, all three markers were depressed (less than 12% positive); however PCNA levels rose precipitously in mid-G1 (greater than 50% positive). In late G1 to early S, p145 levels increased concomitantly with increases in p120. All three antigens were elevated throughout S phase and began to decline as cells moved from G2/M to G1 of the next cell cycle with p145 expression decreasing first. This report indicates that all three proliferation associated antigens studied are differentially expressed in the cell cycle and therefore may be useful in detecting and assessing the proliferation state.     

Lymphocyte-mediated cytotoxicity: effects of ageing, adult thymectomy and thymic factor.

Adult thymectomy, as well as ageing, depressed splenic lymphocyte-mediated cytotoxicity (LMC) in the mouse. Ageing depressed significantly LMC as early as 19 weeks of age, independently of the number of cells used for immunization. Thymectomy affected LMC only when supoptimal numbers of immunizing allogeneic cells were used. This effect peaked at 6 to 12 weeks after thymectomy. No difference between thymectomized and normal mice was observed when LMC was tested 16 to 20 weeks after thymectomy, at an age when normal control mice themselves already showed a lowered LMC due to ageing. The effect of in vivo treatment with a circulating thymic factor (TF), which was shown to disappear with ageing as well as after adult thymectomy, has been tested in adult thymectomized mice and normal young and ageing mice. TF treatment prevented LMC depression in adult thymectomized mice, whereas it depressed paradoxically splenic LMC in normal young and old mice. The possible mechanisms of the effects of adult thymectomy, ageing, and thymic factor on the different T cell subsets involved in allogeneic killer cell generation are discussed.