Induction of apoptosis in nutrient-deprived cultures of hybridoma and myeloma cells

In the present study, cell death was investigated in cultures of NS/0 myelomas and SP2/0-derived D5 hybridomas through morphological examination of cells stained with acridine orange and ethidium bromide. The relative contribution of elevated levels of lactic acid and ammonia, as well as deprivation of glutamine, cystine, and glucose on the induction of necrosis or apoptosis, was investigated. In batch culture of D5 hybridoma cells, induction of apoptotic cell death correlated with the exhaustion of glutamine, while in the case of NS/0 myelomas, it coincided with exhaustion of cystine. To determine whether limiting nutrients were the actual triggering factors for apoptosis in batch culture, exponentially growing cells were resuspended in glutamine or cystine-free media. Within 30 to 40 h, viability decreased to 50% and the nonviable cell population displayed typical apoptotic morphology, with crescents of condensed chromatin around the periphery of the nucleus, or with the entire nucleus present as one or a group of featureless, brightly staining spherical beads. Similarly, D5 hybridomas and NS/0 myelomas cultivated in glucose-free medium died mainly from apoptosis. Cells were also cultivated in fresh medium supplemented with elevated concentrations of ammonia (3.0 mM) and/or lactate (35 mM, 50 mM). This resulted in decreased viabilities and necrotic death in both cell lines. From these results, we conclude that D5 hybridomas and NS/0 myelomas deprived of essential nutrients die by apoptosis, whereas incubation in the presence of elevated levels of metabolic byproducts such as ammonia and lactate will induce necrotic cell death in these cells. (c) 1994 John Wiley & Sons, Inc.     

Variable functions of bcl-2 in mediating bioreactor stress- induced apoptosis in hybridoma cells

It has been demonstrated that the cell lines used for production of biopharmaceuticals are highly susceptible to apoptosis, and that over-expression of the bcl-2 oncogene can protect cells from death. Stress associated with the deprivation of nutrients has been shown to be the main cause of apoptosis in culture. We have extended these studies by investigating the mechanism of cell death under conditions of sub-optimal pH, shear stress and hyperosmolarity, and the protective action of bcl-2 over-expression. At pH 6, there was no clear evidence of protection from cell death. However, at pH 8, the viability of the bcl-2 transfected cells was about 20% higher relative to the control cells. Cultivation of control cells in a flat bottomed bioreactor with a magnetic stirrer bar without a pivot ring resulted in exposure of the cells to a high attrition effect. As a result, cell growth was retarded and a high level of cell death by apoptosis was observed. Under the same conditions, the bcl-2 transfected cell line exhibited a nearly five fold increase in viable cell number. This finding indicates that under apoptosis-suppressed conditions, shear stress can stimulate cell growth. Batch cultivation of both control and bcl-2 transfected cells in 350 and 400 mOsm media resulted in suppression of cell growth, athough the effect was most marked in the control cell line. Adaptation of control cells to 400 mOsm proved to be impossible to achieve. However, the bcl-2 transfected cells exhibited resistance to the osmotic stress resulting in long term adaptation to a high salt environment. Specific productivity of bcl-2 transfected cells grown in high osmolarity medium was 100% higher than that produced by non- adapted bcl-2 transfected cells grown in normal osmolarity medium. These results demonstrate that bcl-2 has a beneficial effect on hybridoma cultivation under a wide range of culture stresses. This revised version was published online in August 2006 with corrections to the Cover Date.     

Starvation-induced programmed death of hybridoma cells: Prevention by amino acid mixtures

Association of the availability of nutrients with the phenomenon of programmed cell death-apoptosis-was investigated using hybridoma cells cultured in protein-free medium under conditions of starvation, i.e., in RPMl-1640 medium diluted to 50% with saline. Amino acid mixtures, such as MEM essential amino acids or MEM nonessential amino acids were found to prevent starvation death significantly when added to the diluted medium in 1 to 2 mM concentrations, the MEM vitamin mixture was ineffective, and glutamine displayed a moderate growth-supporting effect. The specific monoclonal antibody production rate in cultures supplemented with amino acid mixtures was strikingly low, whereas supplementation with glutamine alone or simultaneously with other amino acids resulted in a specific antibody production rate comparable with the rate observed in undiluted medium. (c) 1995 John Wiley & Sons, Inc.     

Correlation between steady-state cell concentration and cell death of hybridoma cultures in chemostat

In the present study, the steady-state cell density (X) of chemostat cultures of murine hybridoma was varied by the concentration of glucose and glutamine in culture medium and the dissolved oxygen partial pressure. Except at low glutamine and low oxygen levels, the specific death rate (k(d)) of the cultures was found to decrease with increasing dilution rate (D). However, the plot of k(d) vs. X/D yielded linear relation, which suggests that cell death was due to a non-growth-linked inhibitory product of the cells. The k(d) value measured at low glutamine and low oxygen levels remained practically unchanged over a wide range of D between 0.020 and 0.029 h(-1). The k(d) for low oxygen cultures was always lower than the values obtained in low glucose and low glutamine cultures. A low-molecular-weight component of possibly less than 3000 MW was detected to be cell-death-inducing in the supernatant of exponentially growing cultures. It was neither lactate nor ammonium. The autoinhibitor was not cell-line specific. (c) 1995 John Wiley & Sons, Inc.     

Cell death in bioreactors: a role for apoptosis

The incidence of apoptotic and necrotic cell death was compared in CHO, SF9 insect cells and murine plasmacytoma (J558L) and hybridoma (TB/C3) cells during in vitro cultivation in batch cultures. Acridine orange staining and fluorescence microscopy enabled the visualization of a classic morphological feature of apoptotic cell, the presence of condensed and/or fragmented chromatin. DNA gel electrophoresis was employed to show an additional characteristic of the process, the endonuclease-mediated fragmentation of DNA into multiples of 180 base pairs. The levels of apoptosis at the end of batch cultures of plasmacytoma and hybridoma cell lines were found to be 60% and 90% of total dead cells, respectively. However, employing the above-mentioned techniques, the biochemical and morphological features of apoptosis were not found in CHO and SF9 insect cells. Some factors affecting the induction of apoptosis during the batch culture of the hybridoma and plasmacytoma cell lines were identified. The most effective inducer was found to be glutamine limitation, followed by (in order of importance) serum limitation, glucose limitation, and ammonia toxicity. Blockage of the cell cycle of the plasmacytoma and hybridoma cells using thymidine resulted in the induction of apoptosis. This has important implications for the development of cell culture processes that minimize cell division and thereby increase specific productivity. (c) 1994 John Wiley & Sons, Inc.     

Role of vitamins in determining apoptosis and extent of suppression by bcl-2 during hybridoma cell culture

The identification of cell culture media components that may instigate apoptosis in cell lines used for the production of commercial antibodies and recombinant proteins, is crucial to aid the development of improved media for reduced cell death and to understand the role of nutrient components in cell survival and maintenance. Here we determine the impact of depriving all or individual B-group media vitamins either, D-CaPantothenate (DCaP), choline chloride (CC), riboflavin (Rb), i-inositol, nicotinamide (NAM), pyridoxal hydrochloride (PyrHCl), folic acid (FA), or thiamine hydrochloride (ThHCl) on hybridoma cell growth and viability using fluorescence microscopy techniques. Cultivation in media deprived of all these vitamins prevented cell proliferation from reaching maximum capacity while increasing cell death rate, predominantly via apoptosis. Deletion of either DCaP, CC, or Rb showed that these components were most likely responsible for the development of apoptosis. Exclusion of either i-inositol, NAM or PyrHCl failed to inhibit cell growth and viability, while marginal improvements in viability were noted by ThHCl deprivation and more so by FA exclusion. Over-expression of the anti-apoptotic gene bcl-2 suppressed cell death initiated by all or single vitamin (either DCaP, CC or Rb) deprivation. The involvement of bcl-2 activity, established a close association between small vitamin molecules particularly DCaP, CC or Rb and the biochemical activation of apoptosis.     

Inducible expression of Bcl-XL restricts apoptosis resistance to the antibody secretion phase in hybridoma cultures

B-cell hybridomas are widely used to produce monoclonal antibodies via large-scale cell culture. Unfortunately, these cells are highly sensitive to apoptotic death under conditions of nutrient deprivation observed at the plateau phase of batch cultures. Previous work has indicated that constitutive high-level expression of antiapoptotic genes in hybridoma cells could delay apoptosis, resulting in higher cell densities and prolonged viability. However, the constitutive high-level expression of antiapoptotic genes has been shown to have detrimental effects on genomic stability of other types of cultured cells. Inducible gene expression may be used to avoid this problem. In the present study, we first constructed an expression vector in which the promoter of a mammalian metallothionein (MT) gene drives the expression of bcl-XL in response to metal exposure. The vector was then used to exogenously control the expression of bcl-XL in D5 hybridoma cells. Our data show that stably transfected D5 cells (4G1.D9) expressed high levels of Bcl-X(L) following overnight exposure to ZnSO(4) concentrations (50 to 100 microM) that did not affect control cells. The level of Bcl-X(L) expressed after ZnSO(4) induction was sufficient to prevent apoptosis experimentally induced by cycloheximide and allowed 4G1.D9 cells to grow at higher densities and remain viable for prolonged periods in suboptimal culture conditions. The use of inducible bcl-XL expression permits extension of the viability of cultured B-cell hybridomas during the antibody secretion phase without the adverse genetic effects associated with constitutive long-term bcl-XL expression.     

A combined cell-cycle and metabolic model for the growth of hybridoma cells in steady-state continuous culture

The Model presented in this work demonstrates the combination of cell-cycle model with a model describing the growth and conversion kinetics of hybridoma cells in a steady-state continuous culture. The cell-cycle model is based upon a population balance model as described by Cazzador et al. and assumes the existence of a cycling-and apoptotic-cell population, which together form the viable-cell population. In this part the fraction of apoptotic cells, the age distribution of the cycling and apoptotic-cell population, the mean volume and biomass content per cell of the cycling, apoptotic, and viable cells, and the specific growth and death rates of the cells are calculated. The metabolic part consists of a Monod-type growth equation, four elemental balances, an equation assuming a constant yield of ammonia on glutamine, an equation for product formation, and the relation of Glacken for energy production. Furthermore, a maintenance-energy model for the consumption of glucose and glutamine is introduced, which combines the approaches of Herbert and Pirt into one model in a way similar to Beeftink et al. For energy consumption a Pirt model is assumed. The model is capable of predicting trends in steady-state vaues of a large number of variables of interest like specific growth rate, specific death rate, viability, cell numbers, mean viable-cell volume, and concentrations and conversion rates of product, glucose, glutamine, lactate, and ammonia. Also the concentrations and conversion rates of oxygen and carbon dioxide are qualitatively predicted. The values of the model predictions are generally close to experimental data obtained from literature. (c) 1995 John Wiley & Sons, Inc.     

Cell cycle model for growth rate and death rate in continuous suspension hybridoma cultures

As a result of recent advances in flow cytometry, renewed interest is shown in modeling the kinetic behavior of cells in culture on the basis of cell cycle parameters. An important but often overlooked kinetic variable in hybridoma cultures is the cell death rate. Not only the overall cell growth but also the kinetics of nutrient metabolism and monoclonal antibody production have been shown to depend on the cell death rate in continuous suspension hybridoma cultures. The present study shows that the death rate in hybridoma cultures is proportional to the fraction of cells arrested in the G(1) phase of the cell cycle. The steady-state cell age distributions in the various phases of the division cycle have been calculated analytically. A simple mathematical model has been used to produce the profiles of the cycling and arrested cell fractions with respect to the dilution rate. The calculated steady-state growth rate, death rate, and viability profiles are shown to be in agreement with recently published experimental data from continuous suspension hybridoma cultures. (c) 1992 John Wiley & Sons, Inc.     

Determination of cell lysis and death kinetics in continuous hybridoma cultures from the measurement of lactate dehydrogenase release

The death of the hybridoma VO 208 in a continuous culture at pH 7 and 6.8 was investigated by measuring both the appearance of visible dead cells which do not exclude the trypan blue dye and the release of lactate dehydrogenase (LDH) in the culture medium. The intracellular LDH was found to be completely released either when live cells lysed or when they were transformed into visible dead cells. No significant lysis of blue dead cells could be observed at the two different pH. Using a LDH balance over the culture system, cell lysis was found negligible at pH 7, but accounted for 20% of the total cell death at pH 6.8. A methodology is proposed to evaluate the rate constants of hybridoma lysis and total death. For the investigated cell line in continuous culture, the calculated total cell death rate constant was found to increase from 0.002 h^–1 to 0.01 h^–1 when decreasing the pH from 7 to 6.8.Abbreviations D dilution rate (h^–1) - k_b specific trypan-blue dead cells appearance rate (h^–1) - k_L specific lysis rate of viable cells (h^–1) - k_d specific death rate (h-1) - LDH₀ lactate dehydrogenase activity in the feed culture medium (IU.l^–1) - LDH lactate dehydrogenase activity in the outlet culture medium (IU.l^–1) - LDH_i intracellular lactate dehydrogenase activity of viable cells (IU.10^–9 cells) - r_LDH total rate of LDH release (IU.h^–1.L^–1) - r_b transformation rate of viable cells into blue dead cells (10⁹ cells.h^–1.L^–1) - x_v viable cell concentration (10⁹ cells.l^–1) - x_b trypan-blue dead cell concentration (10⁹ cells.l^–1)     

Modified CelliGen-packed bed bioreactors for hybridoma cell cultures

This study describes two packed bed bioreactor configurations which were used to culture a mouse-mouse hybridoma cell line (ATCC HB-57) which produces an IgG₁ monoclonal antibody. The first configuration consists of a packed column which is continuously perfused by recirculating oxygenated media through the column. In the second configuration, the packed bed is contained within a stationary basket which is suspended in the vessel of a CelliGen^™ bioreactor. In this configuration, recirculation of the oxygenated media is provided by the CelliGen Cell Lift impeller. Both configurations are packed with disk carriers made from a non-woven polyester fabric. During the steady-state phase of continuous operation, a cell density of 10⁸ cells per cm³ of bed volume was obtained in both bioreactor configurations. The high levels of productivity (0.5 gram MAb per 1 of packed bed per day) obtained in these systems demonstrates that the culture conditions achieved in these packed bed bioreactors are excellent for the continuous propagation of hybridomas using media which contains low levels (1 %) of serum as well as serum-free media. These packed bed bioreactors allow good control of pH, dissolved oxygen and temperature. The media flows evenly over the cells and produces very low shear forces. These systems are easy to set up and operate for prolonged periods of time. The potential for scale-up using Fibra-cel carriers is enhanced due to the low pressure drop and low mass transfer resistance, which creates high void fraction approaching 90% in the packed bed.     

抗血型物质杂交瘤细胞悬浮培养研究

诱导、选育了适于连续悬浮培养的抗人血型杂交瘤细胞株,并初步建立了一种血型定型试剂悬浮培养生产工艺,抗体效价和亲和力等所有指标均达到或超过国家标准。它是一种经济、简单、切实可行的大生产方法。此外,为用发酵罐大规模生产血型定型试剂提供了物质基础和初步的生产模式。     

Growth and production modeling in hybridoma continuous cultures

Several experimental data on continuous cultures of hybridoma cells show that monoclonal antibody productivity is a decreasing function of dilution rate. It has been suggested that this unusual behavior may be due to the arrest of a fraction of cycling cells at a critical point of Phase G(1). Although this hypothesis has been recently investigated by using population balance models, mathematical analysis has been performed without accounting for the dynamics of the arrested cells properly. In this article, a more general and accurate approach is presented and new specific assumptions are introduced to characterize the arrest and the later progress through the cycle. Two different models (stochastic and deterministic) and two different critical points for the arrest (at the beginning and at the end of G(1)) are considered. The cell cycle parameters are estimated so that data predicted by the model fit those reported in the literature. In particular, the fraction of arrested cells, the cell arrest probability, and the mean cell generation time are computed as functions of the dilution rate. Results so far obtained predict that there is an optimal value of dilution rate for maximizing specific production rate of monoclonal antibody. (c) 1993 John Wiley & Sons, Inc.     

High-density continuous cultures of hybridoma cells in a depth filter perfusion system

A depth filter perfusion system (DFPS) for animal cell culture was developed and its use in continuous highdensity cultures of hybridoma cells was investigated. In the DFPS, based on cell immobilization in a cylindrical depth filter matrix, cells were easily immobilized and cultivated by simple medium recirculation. The cell density in the 20-mum pore size filter matrix reached up to 3 x 10(7) cells/mLin less than 10 days. This resulted in a high monoclonal antibody productivity of 744 mg/L/day, which was 25-35 times higher than that of continuous-suspension cultures using the same cell line. The 20-mum pore filter retained more cells than the 30-mum filterin a shorter period. The DFPS provides advantages of low-cost set-up, easy operation, and scale-up in the cultures of anchorage-independent cells. It also has a high potential for anchorage-dependent cell cultures because of its unusually high surface-to-volume ratio of 450-600 cm(2)/cm(3). (c) 1994 John Wiley & Sons, Inc.     

Distinct volume distribution of viable and non-viable hybridoma cells: A flow cytometric study

Light scattering properties of hybridoma cells were examined with flow cytometry. Viable and dead cells form two distinct populations. The distribution of the two populations changes during a batch culture. the concentration of dead cells measured by flow cytometry correlates well to that measured by hemacytometer. The distribution based on small-angle light scattering is similar to the distribution based on volume as measured by Elzone particle counter. It thus appears that viable cells form the population with a larger mean cell volume. The results also indicate that the volume of viable cells decreases during the cultivation while that of dead cells remains relatively constant.     

Death mechanisms of animal cells in conditions of intensive agitation

The question is addressed as to whether cells which are subject to high-energy dissipation rates in agitated bioreactors show an apoptotic response. Murine hybridoma cells in batch culture were agitated in bench-scale (1-L) bioreactors without gas sparging. At an energy dissipation rate of 1.5 W m(-3) there was no apparent damage. At 320 W m(-3) cell viability declined, and increasing proportions of the dead cells displayed the morphological features of apoptosis, but necrosis also remained as a significant mechanism of death. When cells were subjected to the intensive energy dissipation rate of 1870 W m(-3) in a bioreactor without gas headspace, the cell number dropped by 50% within 2 h and a subpopulation of smaller-sized cells emerged. This excluded trypan blue but showed some apoptotic characteristics such as reduced and condensed DNA content and low F-actin content. The incidence of apoptotic activity was further demonstrated by the appearance of numerous apoptotic bodies. Analysis of the cell cycles of both small and normal size populations indicated that greater proportions of S and G2 cells had become apoptotic and there was evidence of preferential survival of G1 cells. It is suggested that two mechanisms of cell death are apparent in hydrodynamically stressful situations, but their relative expression depends on the energy dissipation rate.     

Utilization of osmoprotective compounds by hybridoma cells exposed to hyperosmotic stress

A search was undertaken for osmoprotective compounds for mouse hybridoma cell line 6H11 grown in culture. When the osmolality of the growth medium was increased above the normal osmolality of 330 mOsmol/kg, growth rates were decreased in a dose-dependent fashion, reaching zero when the osmolality of the medium reached approx. 435 mOsmol/kg through the addition of KCl (60 mM), or 510 mOsmol/kg through the addition of NaCl (100 mM), or sucrose (175 mM). For NaCl or sucrose-stressed cultures, the inclusion of glycine betaine, sarcosine, proline, glycine, or asparagine in the growth medium gave a moderate to strong osmoprotective effect, measured as the ability of these compounds to enhance cell growth rates under hyperosmotic conditions. Inclusion of dimethylglycine may also give a strong osmoprotective effect under these stress conditions.In KCl-stressed cell cultures, addition of glycine betaine, sarcosine, or dimethylglycine gave strong osmoprotective effects. Of 38 compounds tested during NaCl stress, 7 gave weak osmoprotective effects and 25 gave no osmoprotective effect. The osmoprotective compounds accumulated inside the stressed cells. Accumulation was completed after 4 to 8 h, reaching intracellular concentrations of approx. 0.27 pmol/cell, or 0.15 M, in NaCl stressed cells (100 mM NaCl added).Glycine betaine, dimethylglycine, and sarcosine accumulation was observed only when these protectants were included in the medium. For all osmoprotectants, a growth medium concentration between 5 and 30 mM gave the maximal protective effect, with the exception of dimethylglycine, for which the optimum concentration was approx. 65 mM. Osmoprotective effects obtained with glycine, sarcosine, dimethylglycine, and glycine betaine, indicate that the more methylated compounds are the most effective protectants.The cellular content of glycine betaine and the glycine betaine uptake rate increased with medium osmolality in a linear fashion. Glycine betaine uptake was described by a model comprising a saturable component obeying Michaelis-Menten kinetics and a nonsaturable component. K(m) and V(max) for glycine betaine uptake were determined at 420 mOsmol/kg (50 mM NaCl added) and 510 mOsmol/kg (100 mM NaCl added). A K(m) value of approx. 2.5 mM was obtained at both medium osmolalities, while V(max) increased from 0.010 pmol/cell . h to 0.018 pmol/cell . h as the osmolality of the growth medium was increased, indicating an effect of medium osmolality on the maximal rate of transport rather than on the affinity of the transporters for glycine betaine. Hybridoma cells were not able to utilize the glycine betaine precursors choline or glycine betaine aldehyde for osmoprotection, suggesting that the cells lack part, or all, of the choline-glycine betaine pathway or the appropriate uptake mechanism.The uptake rate for glycine in NaCl-stressed hybridoma cells was approx. four times higher than the uptake rate for glycine betaine. Furthermore, if equimolar amounts of glycine betaine, glycine, sarcosine, and proline were simultaneously added to NaCl-stressed cell cultures, the intracellular concentrations of glycine, proline, and sarcosine were significantly higher than the concentration of glycine betaine.A 40% increase in hybridoma cell volume was observed when the growth medium osmolality was increased from 300 to 520 mOsmol/kg. (c) 1994 John Wiley & Sons, Inc.     

Comparison of specific rates of hybridoma growth and metabolism in batch and continuous cultures

For the mouse hybridoma cell line VO 208, kinetics of growth, consumption of glucose and glutamine, and production of lactate, ammonia and antibodies were compared in batch and continuous cultures. At a given specific growth rate, different metabolic activities were observed: a 40% lower glucose and glutamine consumption rate, but a 70% higher antibody production rate in continuous than in batch culture. Much higher metabolic rates were also measured during the initial lag phase of the batch culture. When representing the variation of the specific antibody production rate as a function of the specific growth rate, there was a positive association between growth and antibody production in the batch culture, but a negative association during the transient phase of the continuous culture. The kinetic differences between cellular metabolism in batch and continuous cultures may be result of modifications in the physiology and metabolism of cells which, in continuous cultures, were extensively exposed to glucose limitations.Institut National Polytechnique de Lorraine, ENSAIA BP 172, 2 avenue de la forêt de Haye, 54505, Vandoeuvre Cedex France     

High viable cell concentration fed-batch cultures of hybridoma cells through on-line nutrient feeding

A hybridoma cell line was cultivated in fed-batch cultures using a low-protein, serum-free medium. On-line oxygen uptake rate (OUR) measurement was used to adjust the nutrient feeding rate based on glucose consumption, which was estimated on-line using the stoichiometric relations between glucose and oxygen consumption. Through on-line control of the nutrient feeding rate, not only sufficients were supplied for cell growth and antibody production, but also the concentrations of glucose and other important nutrients such as amino acids were maintained at low levels during the cell growth phase. During the cultivation, cell metabolism changed from high lactate production and low oxygen consumption to low lactate production and high oxygen consumption. As a result the accumulation of lactate was reduced and the growth phase was extended. In comparison with the batch cultures, in which cells reached a concentration of approximately 2 x 10(6) cells/mL, a very high concentration of 1.36 x 10(7) cells/mL with a high cell viability (>90%) was achieved in the fed-batch culture. By considering the consumption of glucose and amino acids, as well as the production of cell mass, metabolites, and antibodies, a well-closed material balance was established. Our results demonstrate the value of coupling on-line OUR measurement and the stoichiometric realations for dynamic nutrient feeding in high cell concentration fed batch cultures. (c) 1995 John Wiley & Sons, Inc.     

Cell cycle,cell size and mitochondrial activity of hybridoma cells during batch cultivation

Cell cycle, cell size and rhodamine 123 fluorescence in cell populations of two batch cultures were analysed and quantified with a fluorescence-activated cell sorter (FACS). Two cultures derived from either exponential or stationary phase innocula were investigated in order to demonstrate the dependency of the subsequent cell growth on innoculum condition. The results demonstrated that the level of activity of cells in the innoculum culture could have a significant effect on cellular activity during the initial phase of the inoculated culture, as it advances through its growth cycle. Positive correlation was found between the cell size and mitochondrial activity (as measured by rhodamine 123 uptake) with S and G₂ fractions as the cell progressed through the cell cycle. The enumeration of the fractions of cell cycle phases has helped in prediction of the changes in cell numbers following perturbation of the culture condition.