Growth of cell populations with arbitrarily distributed cycle durations. II. extended model for correlated cycle durations of mother and daughter cells

A model is proposed that describes the growth of cell populations, in which the cycle durations of mother and daughter and of sister cells can be correlated. The model accounts for arbitrary frequency distributions of cycle durations and for arbitrary correlations. Depending on the mother-daughter correlations, the frequency distribution of cycle durations either remains the same or changes from one cell generation to the next one. Both phenomena are described in the literature for different cell populations. Sister-sister correlations are shown to influence only numerical values in the model but not the model's structure. Model calculations with different types of correlations are compared with growth data on the ciliate Tetrahymena geleii.     

Expression and localization of CLC chloride transport proteins in the avian retina

Members of the ubiquitously expressed CLC protein family of chloride channels and transporters play important roles in regulating cellular chloride and pH. The CLCs that function as Cl(-)/H(+) antiporters, ClCs 3-7, are essential in particular for the acidification of endosomal compartments and protein degradation. These proteins are broadly expressed in the nervous system, and mutations that disrupt their expression are responsible for several human genetic diseases. Furthermore, knock-out of ClC3 and ClC7 in the mouse result in the degeneration of the hippocampus and the retina. Despite this evidence of their importance in retinal function, the expression patterns of different CLC transporters in different retinal cell types are as yet undescribed. Previous work in our lab has shown that in chicken amacrine cells, internal Cl(-) can be dynamic. To determine whether CLCs have the potential to participate, we used PCR and immunohistochemical techniques to examine CLC transporter expression in the chicken retina. We observed a high level of variation in the retinal expression levels and patterns among the different CLC proteins examined. These findings, which represent the first systematic investigation of CLC transporter expression in the retina, support diverse functions for the different CLCs in this tissue.     

Growth of cell populations with arbitrarily distributed cycle durations. I. basic model

A discrete model is proposed describing the growth of cell populations with arbitrary frequency distributions of cycle durations. The model assumes that each cell divides into two cells at the end of its cycle, and that each new cell is assigned an individual cycle duration according to a probability distribution that can be arbitrarily defined. The increase in the cell number is calculated, either from the numbers of cells at earlier time points or from the initial conditions of the population, by a recurrence formula; it is also approximated by the optimal exponential function, whose parameters are determined by the initial conditions. The appropriate average cycle duration is shown not to be the arithmetic or geometric mean, but rather the solution to a more complex equation. Age distributions are calculated and compared with those found in the literature. The results of the model calculations are compared with computer simulations and with observed data on populations of the ciliate Tetrahymena geleii.     

Estimation of cell cycle parameters from double labeling experiments

Double labeling of cell populations with radioactive thymidine yields two types of differently labeled nuclei. Their numbers and the number of unlabeled nuclei can be used to estimate doubling times, T, and S-phase lengths, S. As of yet, such estimations have been performed either for stationary populations in which proliferation and losses are in balance, or for exponentially growing populations in which all cells have the same cycle duration. We calculate S and T for the more general type of cell population with arbitrarily distributed frequencies of cycle durations. The calculations do not require more mathematical or computational effort. We obtain three main results: (i) The estimation of T and S does not require explicit knowledge of the frequency distribution of cycle durations; (ii) in particular, equivalent estimates for T and S are obtained for both types of growing cell populations without losses, one with arbitrarily distributed cycle durations and one with the same cycle duration for all cells; and (iii) for small labeling indices, the estimate for S from the general model approaches the S-phase length of a stationary population and the estimate for T from the general model approaches the generation time of a stationary population, multiplied by the constant factor 1n(2). These relationships are valuable tools for reinterpreting results derived under the assumption of stationarity, which are considerably easier to obtain.     

Effects of cholesterol-loaded cyclodextrins on the quality of frozen-thawed equine epididymal sperm

Equine epididymal sperm are known to be severely sensitive to cryopreservation, in terms of sperm quality and pregnancy rate. The objective of this study was to examine the effects of cholesterol loaded cyclodextrins (CLCs) on the quality of stallion epididymal sperm during cryopreservation.In experiment I, sperm were treated with different concentrations of CLCs: (1) 0 mg (control), (2) 1.5 mg, (3) 3 mg, and (4) 6 mg per 120 × 10⁶ sperm. The sperm viability and amount of cholesterol were determined at 15, 30 and 45 min after CLC treatment using viability markers (Ethidium homodimer-1 and Calcein AM) and gas chromatography, respectively. In experiment II, CLC treated sperm (1.5 mg CLC per 120 × 10⁶ sperm) were fixed and stained with filipin to examine the cholesterol distribution. In experiment III, sperm were treated with CLCs at concentrations of 1.5, 3.0, 6.0 mg per 120 × 10⁶ sperm for 15 min, then equilibrated with freezing extender at 4 °C for 1 h prior to cryopreservation. Epididymal sperm without CLC loading (0 mg) were used as the control group. The sperm quality was examined at post-equilibration and 10 min, 2 h and 4 h after freezing and thawing.The cholesterol was successfully loaded into the plasma membrane of stallion epididymal sperm. The amount of cholesterol was increased in a manner of dose and time dependence, and the filipin–sterol complexes were increasingly labeled over the sperm head. CLCs at 1.5 mg/120 × 10⁶ sperm significantly improved sperm quality during sperm equilibration and cryopreservation compared to other doses of CLCs and non-CLC control. An increasing concentration and incubation time of CLCs was detrimental to sperm quality.It is concluded that cholesterol loading to the sperm plasma membrane via CLCs decreases chilling sensitivity and also improves epididymal sperm cryopreservability.     

The CLC 'chloride channel' family: revelations from prokaryotes

Members of the CLC 'chloride channel' family play vital roles in a wide variety of physiological settings. Research on prokaryotic CLC homologues provided long-anticipated high-resolution structures as well as the unexpected discovery that some CLCs are not chloride channels, but rather are proton-chloride antiporters. Hence, CLCs encompass two functional classes of transport proteins once thought to be fundamentally different from one another. In this review, we discuss the structural features and molecular mechanisms of CLC channels and antiporters. We focus on ClC-0, the most thoroughly studied CLC channel, and ClC-ec1, the prokaryotic antiporter of known structure. We highlight some striking similarities between these CLCs and discuss compelling questions that remain to be addressed. Prokaryotic CLCs will undoubtedly continue to shed light upon this understudied family of proteins.     

Cell-cycle analysis of perturbed cell populations: computer simulation of sequential DNA distributions.

A mathematical model is presented that permits simulation of a time sequence of DNA distributions with a single set of cell-cycle parameters. The method is particularly suited to the quantitative analysis of sets of sequential DNA distributions from perturbed cell populations. The model permits determination of the durations and associated dispersions of the phases of the cell cycle as well as the point in the cell cycle at which the perturbing agent exerts its effect. The mathematical details of the simulation technique are presented, and the technique is applied to the analysis of DNA distributions from perturbed cell populations. Three cell populations are modeled: CHO-line cells released from a block at the interface of the G1-and S-phases, 3T3 cells released from a G1-phase block produced by serum starvation, and S49 mouse lymphoma cells responding to a block in the G1-phage produced by N6,02'-dibutyryl adenosine 3':5'-cyclic monophosphate (Bt2cAMP).     

The CLC ‘chloride channel’ family: revelations from prokaryotes (Review)

Members of the CLC ‘chloride channel’ family play vital roles in a wide variety of physiological settings. Research on prokaryotic CLC homologues provided long-anticipated high-resolution structures as well as the unexpected discovery that some CLCs are not chloride channels, but rather are proton-chloride antiporters. Hence, CLCs encompass two functional classes of transport proteins once thought to be fundamentally different from one another. In this review, we discuss the structural features and molecular mechanisms of CLC channels and antiporters. We focus on ClC-0, the most thoroughly studied CLC channel, and ClC-ec1, the prokaryotic antiporter of known structure. We highlight some striking similarities between these CLCs and discuss compelling questions that remain to be addressed. Prokaryotic CLCs will undoubtedly continue to shed light upon this understudied family of proteins.     

Functional evidence for the identification of an Arabidopsis clathrin light chain polypeptide

Clathrin light chains (CLCs) are regulatory subunits of clathrin triskelia. Based on homology searches in Arabidopsis thaliana data bases we have identified three putative CLC clones, and have focused on the one with the highest homology to mammalian CLC sequences. Analysis of its sequence has revealed coiled-coil structures within a region that corresponds to the clathrin heavy chain-binding site. In addition there is a stretch of acidic amino acids, which is required for the regulatory function of CLC in clathrin assembly. This putative plant CLC ortholog, expressed in bacteria as a glutathione-S-transferase- and myc-tagged fusion protein, was shown to bind to CLC-free recombinantly expressed mammalian clathrin hubs. In contrast, purified native mammalian triskelia with endogeneous CLC did not bind the recombinant putative plant CLC. Based on the conserved sequences between the three Arabidopsis candidates it appears that plants, unlike mammals, may have more than two CLCs.     

Adding cholesterol to the stallion sperm plasma membrane improves cryosurvival

Cryopreservation induces partially irreversible damage to equine sperm membranes. Part of this damage occurs due to membrane alterations induced by the membrane changing from the fluid to the gel-state as the temperature is reduced lower than the membrane transition temperature. One way to prevent this damage is to increase the membrane fluidity at low temperatures by adding cholesterol to the membrane. Different concentrations of cholesterol-loaded-cyclodextrins (CLC) were added to stallion sperm to determine the CLC concentration that optimizes cryosurvival. Higher percentages of motile sperm were maintained after thawing when 1.5 mg CLC was added to sperm from stallions whose sperm do not survive freezing well, compared to control sperm from those same stallions (67% vs. 50%; P<0.05). Addition of CLCs increased the percentages of membrane intact sperm surviving cryopreservation compared to untreated sperm for all stallions (P<0.05). The amount of cholesterol that incorporated into the membranes of the sperm cells increased in a polynomial fashion (R2=0.9978) and incorporated into all sperm membranes. In addition, there was a significant loss of cholesterol from sperm membranes after cryopreservation; however, addition of CLCs to sperm prior to cryopreservation maintained higher cholesterol levels in the sperm after freezing and thawing than untreated sperm (P<0.05). Addition of CLCs also resulted in more sperm binding to the zona pellucida of bovine oocytes after cryopreservation than control sperm (48 vs. 15; P<0.05). In conclusion, CLCs improved the percentage of post-thaw viability in equine sperm as well as increased the number of sperm that bind to zona pellucida. Addition of CLCs to stallion sperm prior to cryopreservation is a simple procedure that increases the cryosurvival of cells.     

A rapid and simple estimation of cell cycle parameters by continuous labeling with bromodeoxyuridine

The DNA synthesis time (Ts) and other related cell cycle parameters were roughly estimated in HeLa cells labeled with bromodeoxyuridine (BrdUrd) for various durations by using the flow cytometrical technique. The labeling indices increased in proportion to time after addition of BrdUrd. The Ts can be calculated from the slope of the regression line obtained by plotting the serial labeling indices against the labeling time and was equivalent to the value determined by fraction labeled cells in mid S-phase (FLSm) method. These parameters would be determined by only two samples labeled for different times. This simple method using BrdUrd provides rough but rapid estimation of Ts and other cell cycle parameters without complicated mathematical procedures, in addition to cell cycle partition of cell populations.     

Effect of cholesterol-loaded cyclodextrin on the cryosurvival of bull sperm

Bull sperm were treated with several levels of cholesterol-loaded cyclodextrin (CLC) and frozen in egg yolk diluents containing either Tris or sodium citrate, to determine the CLC concentration that best benefits bull sperm cryosurvival. After thawing, higher percentages of motile (60%) and viable (55%) sperm were obtained when 1.5mg/ml CLC was added to sperm prior to freezing, than for sperm frozen in egg yolk Tris alone (42 and 46%, respectively; P < 0.05). Increasing concentration of CLCs, maintained higher percentages of viable sperm up to addition of 6.0mg/ml CLC when the percentages of viable sperm began to decline (50%; P < 0.05). Addition of 1.5mg/ml CLC to sperm frozen in sodium citrate diluent resulted in 53% motile sperm compared to 37% for control, although these were not different (P > 0.05). The beneficial effects of CLC addition were observed regardless of whether sperm incubated with CLC at 22 or 37 degrees C (P > 0.05) and maximum effects were observed when sperm incubated with CLC for 15min. Longer incubation times, up to 60min, resulted in similar results (P > 0.05). The amount of cholesterol that incorporated into sperm, increased with increasing CLC concentration, in a linear fashion, and each sperm incorporates a similar amount of cholesterol (coefficient of variation=12.9+/-0.7%). In addition, the cholesterol incorporates into all sperm membranes. Increasing membrane cholesterol levels, by adding CLCs to cells, prior to freezing, is a simple technology that increases the cryosurvival of bull sperm, and may benefit the cryosurvival of many cell types.     

Cytophysiological Characteristics of the Vegetative and Dormant Cells of <Emphasis Type="Italic">Stenotrophomonas</Emphasis> sp. Strain FM3, a Bacterium Isolated from the Skin of a <Emphasis Type="Italic">Xenopus laevis</Emphasis> Frog

A bacterial strain (FM3) that is closely related to Stenotrophomonas acidaminiphila and S. maltophilia, was isolated from the skin surface of the frog Xenopus laevis. Cytophysiological studies on vegetative cells and cyst-like cells (CLCs) that were obtained in model experiments addressed the dynamics of transition of vegetative cells to the dormant state and their reversion to vegetative growth. The ultrastructural organization of the vegetative and dormant cells of strain FM3 possesses unique properties. Cultures that developed after inoculating vegetative cells were characterized by: (1) resistance to physical factors and sterilization procedures; (2) high antimicrobial activity with respect to some gram-positive and gram-negative bacteria; (3) resistance to polypeptide antibiotics; (4) the presence of an easily detaching S-layer on the cell surface; (5) the ability to secret outer membrane vesicles into the intercellular space; and (6) formation of S-layerderived tubular structures associated with outer membrane vesicles that are regularly arranged within the tubes. Dormant cells were characterized by: (1) resistance to dehydration; (2) resistance to high temperatures; and (3) the preservation of the S-layer on the surface of cystlike cells (CLCs). Depending on experimental conditions, strain FM3 formed three CLC morphotypes, which differed in their abundance and ultrastructural organization. The experimental conditions used for CLC formation approximated those under which bacteria survive in hospitals. A model of intermicrobial parasitism is suggested that applies to motile FM3 cells during the development of their populations (cultures).     

Cryptococcus neoformans Ca(2+) homeostasis requires a chloride channel/antiporter Clc1 in JEC21, but not in H99

CLC-type chloride/proton antiporters are required for copper/iron homeostasis in fungi. A relationship between CLCs and Ca(2+) homeostasis has not been found before. Here we demonstrate the requirement of the antiporter CLC1 for Ca(2+) homeostasis/signaling in Cryptococcus neoformans. The deletion of CLC1 in JEC21 resulted in a mutant hypersensitive to cyclosporine A, an inhibitor of calcineurin. Intracellular Ca(2+) deficiency in the mutant Tx1 was confirmed with Fluo-3 staining epi-fluorescence microscopy. Tx1 failed to grow at elevated temperature and in SDS and displayed defects in cell wall integrity and cell separation. This defective phenotype is because of Ca(2+) deficiency that was restorable by exogenous Ca(2+) . In contrast, H99 CLC1 was dispensable for Ca(2+) homeostasis and had no comparable defective consequences if deleted, suggesting divergent roles of CLCs in Ca(2+) homeostasis. Distinct Ca(2+) homeostasis mechanisms may contribute the virulence difference between the two strains. This work reveals a novel action of CLC antiporters in fungi and may provide information as to the evolution of pathogenicity among cryptococcal strains.     

CELL-CYCLE ANALYSIS OF PERTURBED CELL POPULATIONS: COMPUTER SIMULATION OF SEQUENTIAL DNA DISTRIBUTIONS

A mathematical model is presented that permits simulation of a time sequence of DNA distributions with a single set of cell-cycle parameters. The method is particularly suited to the quantitative analysis of sets of sequential DNA distributions from perturbed cell populations. The model permits determination of the durations and associated dispersions of the phases of the cell cycle as well as the point in the cell cycle at which the perturbing agent exerts its effect. The mathematical details of the simulation technique are presented, and the technique is applied to the analysis of DNA distributions from perturbed cell populations. Three cell populations are modeled: CHO-line cells released from a block at the interface of the G₁ and S-phases, 3T3 cells released from a G₁-phase block produced by serum starvation, and S49 mouse lymphoma cells responding to a block in the G₁-phase produced by N⁶,0²′-dibutyryl adenosine 3′:5′-cyclic monophosphate (Bt₂cAMP).     

Cell cycle characteristics of synchronized and asynchronous populations of human cells and effect of cooling of selected mitotic cells.

The method of synchronizing cells by means of mitotic selection has been adapted to the human line NHIK 3025. Increase in cell number as a function of time in asynchronous and synchronous populations was studied as well as mitotic index as a function of time after selection of synchronized populations. Phase durations of the cell cycle of synchronous populations were determined by 3H-thymidine incorporation and scintillation counting. The relative phase durations of exponentially growing asynchronous populations were determined by mathematical analysis of DNA-histograms recorded by flow cytofluorimetry. Both the generation time and the various phase durations of the cell cycle were found to be the same in asynchronous and synchronous populations. It was found that NHIK 3025 cells are damaged by cooling to 4 and 0 degrees C so that cooling of selected cells in order to increase the yield would reduce the quality of the synchronized populations.     

CLC chloride channels and transporters: from genes to protein structure, pathology and physiology

CLC genes are expressed in species from bacteria to human and encode Cl(-)-channels or Cl(-)/H(+)-exchangers. CLC proteins assemble to dimers, with each monomer containing an ion translocation pathway. Some mammalian isoforms need essential beta -subunits (barttin and Ostm1). Crystal structures of bacterial CLC Cl(-)/H(+)-exchangers, combined with transport analysis of mammalian and bacterial CLCs, yielded surprising insights into their structure and function. The large cytosolic carboxy-termini of eukaryotic CLCs contain CBS domains, which may modulate transport activity. Some of these have been crystallized. Mammals express nine CLC isoforms that differ in tissue distribution and subcellular localization. Some of these are plasma membrane Cl(-) channels, which play important roles in transepithelial transport and in dampening muscle excitability. Other CLC proteins localize mainly to the endosomal-lysosomal system where they may facilitate luminal acidification or regulate luminal chloride concentration. All vesicular CLCs may be Cl(-)/H(+)-exchangers, as shown for the endosomal ClC-4 and -5 proteins. Human diseases and knockout mouse models have yielded important insights into their physiology and pathology. Phenotypes and diseases include myotonia, renal salt wasting, kidney stones, deafness, blindness, male infertility, leukodystrophy, osteopetrosis, lysosomal storage disease and defective endocytosis, demonstrating the broad physiological role of CLC-mediated anion transport.     

CELL CYCLE CHARACTERISTICS OF SYNCHRONIZED AND ASYNCHRONOUS POPULATIONS OF HUMAN CELLS AND EFFECT OF COOLING OF SELECTED MITOTIC CELLS

The method of synchronizing cells by means of mitotic selection has been adapted to the human line NHIK 3025. Increase in cell number as a function of time in asynchronous and synchronous populations was studied as well as mitotic index as a function of time after selection of synchronized populations. Phase durations of the cell cycle of synchronous populations were determined by ³ H-thymidine incorporation and scintillation counting. The relative phase durations of exponentially growing asynchronous populations were determined by mathematical analysis of DNA-histograms recorded by flow cytofluorimetry. Both the generation time and the various phase durations of the cell cycle were found to be the same in asynchronous and synchronous populations. It was found that NHIK 3025 cells are damaged by cooling to 4 and 0°C so that cooling of selected cells in order to increase the yield would reduce the quality of the synchronized populations.     

Cell cycle analysis using numerical simulation of bivariate DNA/bromodeoxyuridine distributions

This report describes a mathematical model of cell proliferation for simulation of bivariate DNA/bromodeoxyuridine (BrdUrd) distributions. The model formulates the change with time in the frequency of cells with any DNA content and in the amount of incorporated BrdUrd, according to given cytokinetic parameters, i.e., durations and dispersions of cell cycle phases and DNA synthesis rate during S-phase. We have applied this model to sequential DNA/BrdUrd distributions measured for Chinese hamster ovary cells asynchronously grown in vitro, 1) for 30 min in 10 microM BrdUrd followed by growth in BrdUrd-free medium for 0 to 24 h, or 2) during continuous incubation in 3 microM BrdUrd plus 30 microM thymidine for 2 to 24 h. The matches between the experimental and simulated distributions give the G1, S, G2M, and total cell cycle durations (and coefficients of variation) of 5.6 h (0.08), 7.0 h (0.07), 1.4 h (0.16), and 14.0 h (0.05), respectively. The model is shown to be useful for quantitative interpretation of the bivariate distributions.