Refined evaluation of the exponential curve parameters and initial exchange rate constant for 22Na+ washout in cultured human skin fibroblasts

A technique is proposed to evaluate the exponential curve parameters and the initial exchange rate constant (kie) for 22Na+ washout from cultured human skin fibroblasts. After loading with the isotope, the cells were subjected to cold washing and warming steps. A desaturation curve for 22Na+ washout was developed including the activity in the warming medium that corresponded to t = 0 min. Using nonlinear regression analysis, a general three exponential function adequately described the 22Na+ washout in the time interval of 0-70 min. A back extrapolation was performed to estimate the initial time (ti; a negative number) when the total activity was present in the cells. The ti was substituted into the first derivative function of the three exponents to yield the kie. Calculated from the equilibrium distribution of 22Na+ and the specific activity of the medium, the concentration of Na+ (in mM; mean +/- SD) for fibroblasts of two individuals were 13.3 +/- 2.3, n = 3, and 19.0 +/- 5.2, n = 4. This indicates that the washout originated mainly or exclusively from the cellular milieu. Therefore, the kie represents the equilibrium exchange rate constant for Na+ washout from an inhomogeneous cell-related space. Multiple experiments demonstrated that the kie value for the two subjects were significantly higher than the initial slopes of the washout curves (kA), a commonly used parameter to characterize Na+ washout, and significantly lower than the slopes of the fastest exponential components (k3): kie = 0.531 +/- 0.017, kA = 0.502 +/- 0.019, and k3 = 0.557 +/- 0.017 min-1 (n = 3) for one subject, and kie = 0.567 +/- 0.065, kA = 0.479 +/- 0.031, and k3 = 0.667 +/- 0.094 min-1 (n = 6) for the other subject. The respective equilibrium exchange rates for these cells, namely the products of kie and cellular Na+ contents, were 1.10 +/- 0.16 and 1.19 +/- 0.24 nmole/10(5) cells. Using the exponential curve parameters, analytical solutions of a serial model and a parallel model with three compartments were performed. According to these analyses the major portion of the cellular Na+ comprises a fast exchangeable cellular compartment. The relative size of this compartment (expressed as a fraction of total cellular Na+ content) for fibroblasts of the two subjects was 96.2 and 89.2% for the serial model and 96.1 and 89.3% according to the parallel model.(ABSTRACT TRUNCATED AT 250 WORDS)     

Kinetics of human lymphocyte responses in vitro: the phase of exponential growth

The kinetics of thymidine uptake in human peripheral lymphocytes stimulated by allogenic cells, antigen E (ragweed allergen) and a variety of mitogens can generally be divided into four consecutive phases. First, a lag period with no increase in thymidine uptake, then a short period of rapid change in uptake, followed by a log-linear growth period and finally a decay phase. In this report we examine in detail the characteristics of the third, log-linear growth phase. Since, as discussed in the preceding paper, thymidine uptake is proportional to the number of cells acumulating thymidine, we can calculate from the log-linear growth period an apparent doubling time. We show that for five different stimulating agents the cells reach a log-linear growth phase of varying length and that the doubling times show little variation. This invariance indicates that, despite possible variation in cell death and recruitment rates, the rate of proliferation is in all cases dominated by the generation time of human lymphocytes.     

Correlation between contractility and proliferation in human fibroblasts

The contractile power of human fibroblasts was checked through their life span in vitro, using a plasma clot retraction test. It was found to decline with a pattern analogous to that of the different phases identifiable by the study of the kinetics of proliferation of these cells. The capacity to retract a plasma clot was higher in cells harvested during active growth than in cells harvested in resting phase. The decreased ability to retract during aging becomes apparent when cells are harvested in resting phase. Decreased retractile activity was also observed in postnatal cells as compared with embryonic cells. The results support a correlation between the initiation of DNA synthesis and the turnover of cytoskeletal elements. The data fit our previous results showing that the early proliferative disturbance during cellular senescence consists of a decline in the probability of initiating the division cycle linked to impaired cell attachment and spreading.     

Comparison of definitions of the lag phase and the exponential phase in bacterial growth

M.H. ZWIETERING, F.M. ROMBOUTS AND K. VAN 'T RIET. 1992. Different definitions of the lag time and of the duration of the exponential phase can be used to calculate these quantities from growth models. The conventional definitions were compared with newly proposed definitions. It appeared to be possible to derive values for the lag time and the duration of the exponential phase from the growth models, and differences between the various definitions could be quantified. All the different values can be calculated from the growth parameters μ _m , and a. Therefore, it appeared to be unnecessary to use complicated mathematical equations: simple equations were adequate. For the Gompertz model the conventional definition of the lag time did not differ appreciably from the newly proposed definition. The end-point of the exponential phase and thus the duration of the exponential phase differed considerably for the two definitions. For the logistic model the two definitions lead to considerable differences for all quantities. It is recommended that the conventional definition is used for calculating the lag time. For the duration of the exponential phase it is recommended that the new definition is used. The value can be calculated, however, directly from the conventional growth parameters.     

Comparison of definitions of the lag phase and the exponential phase in bacterial growth.

Different definitions for the lag time and of the duration of the exponential phase can be used to calculate these quantities from growth models. The conventional definitions were compared with newly proposed definitions. It appeared to be possible to derive values for the lag time and the duration of the exponential phase from the growth models and differences between the various definitions could be quantified. All the different values can be calculated from the growth parameters microm, lambda and alpha. Therefore, it appeared to be unnecessary to use complicated mathematical equations; simple equations were adequate. For the Gompertz model the conventional definition of the lag time did not differ appreciably from the newly proposed definition. The end-point of the exponential phase and thus the duration of the exponential phase differed considerably for the two definitions. For the logistic model the two definitions lead to considerable differences for all quantities. It is recommended that the conventional definition is used for calculating the lag time. For the duration of the exponential phase it is recommended that the new definition is used. The value can be calculated, however, directly from the conventional growth parameters.     

Transferrin receptor expression during exponential and plateau phase growth of human tumour cells in culture

Transferrin receptor expression by the human tumour cell lines CCRF-CEM leukaemia and PMC-22B melanoma was studied, measuring the specific binding of fluorescein isothiocyanate (FITC)-labelled transferrin using a fluorescence-activated cell sorter. By measuring the fluorescence of cells stained at subsaturating concentrations of conjugate it was possible to calculate the average numbers of receptors per cell and the binding affinity by Scatchard analysis. These values (1.9 × 10⁵ binding sites/cell, K^A 1.2 × 10⁹ M^?1 for CCRF-CEM during exponential growth and 6.9 × 10⁴ binding sites/cell, K_A 1.4 × 10^?9 M^?1 for PMC-22B) are in close agreement with previously published data obtained using radiolabelled transferrin. The present method, however, allowed the transferrin receptor expression of individual cells within a population to be measured and thus it has been possible to test the hypothesis that transferrin receptor is a marker for cycling cells. Frequency-distribution histograms of transferrin receptor showed a wide range of values for both cell lines during exponential growth. When the extreme ranges were sorted and the cells examined for cellular DNA content it was found that those with the highest transferrin receptor expression were enriched with cells in S, G₂, and M phases of the cell cycle, whereas those with low transferrin receptor expression were mainly in G₁. However, two-parameter-correlated dot plots of transferrin receptor expression versus DNA content showed there was considerable overlap between the ranges of receptor expression for the different cell cycle compartments. Using a stathmokinetic method we have measured the proportion of quiescent cells in fed plateau phase cultures. Transferrin receptor expression was downgraded under these growth conditions but, contrary to expectation, the decline affected the population uniformly, without the emergence of a distinct, transferrin receptor-negative subpopulation corresponding to the increasing proportion of quiescent cells. Thus, although transferrin receptor expression bears some relation to cell cycle phase and reflects the proliferative activity of populations of cells, it is incapable of identifying individual cells which are out of cycle.     

Effects of growth phase and repair capacity on rejoining of ethyl methanesulfonate-induced DNA breaks in Escherichia coli

The effects of growth phase and DNA repair capacity on the production and rejoining of ethyl methanesulfonate (EMS)-induced single-strand breaks were studied in 4 strains of E. coli. DNAs from logarithmic and stationary phase cells of the DNA polymerase I deficient mutant, P₃₄₇8 polA, a recombination deficient mutant, DZ₄₁₇recA, and from the respective parental strains, W₃₁₁₀pol⁺ and AB₂₅₃rec⁺ were examined by sedimentation in alkaline sucrose gradients.In both parental strains, stationary phase cells exhibited enhanced strand rejoining. In the mutants, alkylated DNA was repaired to some extent in both growth phases, but it contained a greater proportion of small DNA fragments compared to the parental strains. Some DNA breakdown occured in all four strains but this was most extensive in stationary phase cells of the repair-deficient mutants.These results indicate that the four strains can rejoin EMS-induced DNA strand breaks with varying efficiency depending on the physiological state and the genetic capacity for repair.     

Differential responses of log and stationary phase human fibroblasts to inhibition of DNA repair by aphidicolin

The tetracyclic diterpenoid, aphidicolin, is an effective inhibitor of DNA repair in human cells following ultraviolet irradiation. This inhibition is very efficient in confluent resting cells but not in rapidly cycling cells as measured by (1) analysis of DNA single-strand breaks by alkaline sucrose sedimentation, (2) chromatographic analysis of pyrimidine-dimer removal, and (3) repair replication using CsCl density centrifugation. The inhibition is reversed by deoxycytidine or thymidine but not by deoxyadenosine or deoxyguanosine during the repair period. The data suggest that differences in deoxynucleoside triphosphate pools between cycling and confluent resting cells determine the different efficacies of the agent in these two situations.     

Chromatid damage induced by fluorescent light during G2 phase in normal and Gardner syndrome fibroblasts. Interpretation in terms of deficient DNA repair

Skin fibroblasts from Gardner syndrome (GS) compared with those from normal donors showed a significantly higher incidence of chromatid gaps and breaks following exposure to low-intensity, cool-white fluorescent light during G2 phase of the cell cycle. Considerable evidence supports the concept that chromatid gaps and breaks seen directly after exposure to DNA-damaging agents represent unrepaired DNA single- and double-strand breaks respectively. The changes in incidence of chromatid aberrations with time after light exposure are consistent with the sequence of events known to follow DNA damage and repair. Initially, the incidence of light-induced chromatid gaps was equivalent in GS and normal fibroblasts. In the normal cells, the chromatid gaps disappeared by 1 h post-exposure, presumably as a result of efficient repair of DNA single-strand breaks. In contrast, the incidence of gaps increased in GS cells by 0.5 h followed by a decrease at 1 h and concomitant increase in chromatid breaks. It appears from these findings that the increased incidence of chromatid damage in GS fibroblasts results from deficient repair of DNA single-strand breaks which arise from incomplete nucleotide excision of DNA damage during G2 phase.     

Regulation of connective tissue growth factor gene expression in human skin fibroblasts and during wound repair.

Connective tissue growth factor (CTGF) is a cysteine-rich peptide that exhibits platelet-derived growth factor (PDGF)-like biological and immunological activities. CTGF is a member of a family of peptides that include serum-induced immediate early gene products, a v-src-induced peptide, and a putative avian transforming gene, nov. In the present study, we demonstrate that human foreskin fibroblasts produce high levels of CTGF mRNA and protein after activation with transforming growth factor beta (TGF-beta) but not other growth factors including PDGF, epidermal growth factor, and basic fibroblast growth factor. Because of the high level selective induction of CTGF by TGF-beta, it appears that CTGF is a major autocrine growth factor produced by TGF-beta-treated human skin fibroblasts. Cycloheximide did not block the large TGF-beta stimulation of CTGF gene expression, indicating that it is directly regulated by TGF-beta. Similar regulatory mechanisms appear to function in vivo during wound repair where there is a coordinate expression of TGF-beta 1 before CTGF in regenerating tissue, suggesting a cascade process for control of tissue regeneration and repair.     

Phenotypic and genetic variability of estimated growth curve parameters in mice

Summary Data from 1,919 outbred ICR mice were used to examine the potential usefulness of growth curve parameters as selection criteria for altering the relationship between body weight and age. A logistic growth function was used to model growth through 12 weeks of age. Estimates of asymptotic weight (A), maximum growth rate (r) and age at point of inflection (t^*) were obtained by nonlinear least-squares. A log transformation was also used to stabilize residual variance. Phenotypic and genetic parameters were estimated for the estimated growth curve parameters and for body weights at 2, 3, 4.5, 6, 8 and 12 weeks of age. Heritabilities of estimated growth curve parameters (obtained with and without a log transformation, respectively) were: A (0.28±0.07, 0.28±0.07), r (0.35±0.07, 0.53±0.09) and t^* (0.41±0.08, 0.44±0.08). Estimated genetic correlations suggest that t^* may be useful in selecting for rapid early growth without increasing mature weight.     

Bacterial growth in space flight: logistic growth curve parameters for Escherichia coli and Bacillus subtilis

Previous investigations have reported that bacterial suspension cultures grow to higher stationary concentrations in space flight than on Earth; however, none of these investigations included extensive ground controls under varied inertial conditions. This study includes extensive controls and cell-growth data taken at several times during lag phase, log phase, and stationary phase of Escherichia coli and Bacillus subtilis. The Marquardt-Levenberg, least-squares fitting algorithm was used to calculate kinetic growth parameters from the logistic bacterial growth equations for space-flight and control growth curves. Space-flight cultures grew to higher stationary-phase concentrations and had shorter lag-phase durations. Also, evidence was found for increased exponential growth rate in space. Received: 27 February 1998 / Received revision: 21 August 1998 / Accepted: 3 September 1998     

Discrimination measures for survival outcomes: connection between the AUC and the predictiveness curve

Finding out biomarkers and building risk scores to predict the occurrence of survival outcomes is a major concern of clinical epidemiology, and so is the evaluation of prognostic models. In this paper, we are concerned with the estimation of the time-dependent AUC--area under the receiver-operating curve--which naturally extends standard AUC to the setting of survival outcomes and enables to evaluate the discriminative power of prognostic models. We establish a simple and useful relation between the predictiveness curve and the time-dependent AUC--AUC(t). This relation confirms that the predictiveness curve is the key concept for evaluating calibration and discrimination of prognostic models. It also highlights that accurate estimates of the conditional absolute risk function should yield accurate estimates for AUC(t). From this observation, we derive several estimators for AUC(t) relying on distinct estimators of the conditional absolute risk function. An empirical study was conducted to compare our estimators with the existing ones and assess the effect of model misspecification--when estimating the conditional absolute risk function--on the AUC(t) estimation. We further illustrate the methodology on the Mayo PBC and the VA lung cancer data sets.     

Correlation between qualitatively distributed predicting variables and chemical terms in acridine derivatives using principal component analysis

When biological variables are not continuously distributed, the multiple and multivariate regression analysis cannot be used to correlate these variables against chemical regressors. As the employment of discriminant analysis requires the homogeneity of dispersion matrices and, that n_hp where n_h= degree of freedom of hypothesis, p =number of chemical terms, the reliability and validity of this method is highly questionable here. An alternative method is based on the principal component analysis where multicategory variables of drug responses can be classified into measures of inactive, slightly active, sufficiently active, and highly active drugs, for instance. The rules for classification are based on biological sources that can be expressed by chemical terms, too. An example adapted from antitumor action of acridine derivatives shows the working technique.