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1.
The steady state velocity equation for a bireactant enzyme in the presence of a partial inhibitor or nonessential activator, M, contains squared substrate concentration and higher-ordered M concentration terms. The equation is too complex to be useful in kinetic analyses. Simplification by the method of Cha (J. Biol. Chem. 243, 820 825 (1968)) eliminates squared substrate concentration terms, but retains higher-ordered terms in [M]. It is shown that if strict equilibrium is assumed between free E, M, and EM and for all but one other M-binding reaction, a velocity equation is obtained for an ordered bireactant enzyme that is first degree in all ligands in the absence of products. The equation is an approximation (because it was derived assuming only one M-binding reaction in the steady state), but it contains five inhibition (or activation) constants associated with M, all of which can be obtained by diagnostic replots and/or curve-fitting procedures. The equation also provides a framework for obtaining limiting constants (V'max, K'ia, K'mA, K'mB) that characterize the enzyme at saturating M. The same approach is applicable to an enzyme that catalyzes a steady state ping pong reaction.  相似文献   

2.
This study was undertaken to examine the mechanism by which metabolic inhibition reduces amino acid active transport in ehrlich ascites tumor cells. At 37 degrees C the metabolic inhibitor combination 0.1 mM 2,4-dinitrophenol (DNP) + 10 mM 2- deoxy-D-glucose (DOG) reduced the cell ATP concentration to 0.10- 0.15 mM in less than 5 min. This inhibition was associated with a 20.6 percent +/- 6.4 percent (SD) decrease in the initial influx of α-aminoisobutyric acid (AIB), and a two- to fourfold increase in the unidirectional efflux. These effects could be dissociated from changes in cell Na(+) or K(+) concentrations. Cells incubated to the steady state in 1.0-1.5 mM AIB showed an increased steady-state flux in the presence of DNP + DOG. Steady- state fluxes were consistent with trans-inhibition of AIB influx and trans-stimulation of efflux in control cells, but trans- stimulation of both fluxes in inhibited cells. In spite of the reduction of the cell ATP concentration to less than 0.15 mM and greatly reduced transmembrane concentration gradients of Na(+) and K(+), cells incubated to the steady state in the presence of the inhibitors still established an AIB distribution ration 13.8 +/- 2.6. The results are interpreted to indicate that a component of the reduction of AIB transport produced by metabolic inhibition is attributable to other actions in addition to the reduction of cation concentration gradients. Reduction of cell ATP alone is not responsible for the effects of metabolic inhibition, and both the transmembrane voltage and direct coupling to substrate oxidation via plasma-membrane-bound enzymes must be considered as possible energy sources for amino acid active transport.  相似文献   

3.
The steady state velocity equation for a bireactant enzyme in the presence of a partial inhibitor or nonessential activator, M, contains squared substrate concentration and higher-ordered M concentration terms. The equation is too complex to be useful in kinetic analyses. Simplification by the method of Cha (J. Biol. Chem. 243, 820–825 (1968)) eliminates squared substrate concentration terms, but retains higher-ordered terms in [M]. It is shown that if strict equilibrium is assumed between free E, M, and EM and for all but one other M-binding reaction, a velocity equation is obtained for an ordered bireactant enzyme that is first degree in all ligands in the absence of products. The equation is an approximation (because it was derived assuming only one M-binding reaction in the steady state), but it contains five inhibition (or activation) constants associated with M, all of which can be obtained by diagnostic replots and/or curve-fitting procedures. The equation also provides a framework for obtaining limiting constants (V1max, K1ia, K1mA,K1mB) that characterize the enzyme at saturating M. The same approach is applicable to an enzyme that catalyzes a steady state ping pong reaction.  相似文献   

4.
5.
The kinetics of AMP-aminohydrolase, which under steady state conditions shows a typical sigmoid dependence of initial velocities versus substrate concentration, have been examined by rapid mixing methods. Using this technique it was observed that when substrate or substrate plus activator (K(+)) were mixed with enzyme, the rate of appearance of product markedly increased during the first few tenths of a second. The time course of this change in rate was taken to reflect the progress of activation by substrate or by K(+). On the other hand, addition of activator to enzyme prior to mixing with substrate gave process curves for the formation of product consistent with normal Michaelis-Menten behaviour.Under the conditions where the reaction was examined, the enzyme at time zero had less than 10% of the activity of the fully active enzyme. The time course for activation with K(+) followed a first order process with a rate constant of 10.6 sec(-1) at 20 degrees C. A simple mechanism consistent with the data and capable of explaining the sigmoid dependence of initial velocities versus substrate concentrations observed in steady state kinetics was proposed.  相似文献   

6.
The lactate dehydrogenase from Streptococcus faecalis is activated either by fructose 1,6-bisphosphate or by divalent cations such as Mn2+ or Co2+. With both types of activator, a lag is observed before attainment of the steady state rate of pyruvate reduction if the activator is added to the enzyme at the same time as the substrates. This lag can be largely abolished by preincubation of enzyme with activator before mixing with substrates. For fructose 1,6-bisphosphate (Fru(1,6)P2) as the activator, the rate constant for the lag phase showed a linear dependence on activator concentration but was independent of enzyme concentration. This suggests that binding of fructose 1,6-bisphosphate induces a conformational change in the enzyme which leads to increased activity, without association of enzyme subunits or dimers. With Co2+ as activator, the rate constant for the lag phase showed a hyperbolic dependence on Co2+ concentration and was also dependent on enzyme concentration. This suggests that activation by Co2+, in contrast to that by Fru(1,6)P2, involves association of enzyme dimers, followed by ligand binding.  相似文献   

7.
NF-kappaB-IkappaB complex formation regulates the level and specificity of NF-kappaB activity. Quantitative analyses showed that RelA-NF-kappaB-induced IkappaBalpha binding is regulated through inhibitor retention and phosphorylation. RelA caused an increase in IkappaBalpha phosphorylation and in degradation, which was enhanced monotonically with inhibitor concentration. In vivo analysis demonstrated the RelA-induced IkappaBalpha/RelA interactions to be specific, saturable, and phosphorylation-dependent. In addition, it showed that phosphorylation regulates both the level and affinity of the complexes and demonstrated an increased average affinity to coincide with reduction in the level of complexes during cytokine-induced pathway activation. The data show that RelA regulation of NF-kappaB-IkappaBalpha complex formation is IkappaBalpha phosphorylation-dependent and that IkappaBalpha/NF-kappaB binding is dynamic and determined by concentration of the subunits. In addition, they suggest that regulation of both complex levels and affinities through phosphorylation, with effects on the system steady state, participate in selective activation of the NF-kappaB pathway.  相似文献   

8.
This report demonstrates the effect of primary alcohols on the kinetic properties of guinea pig liver cytosolic beta-glucosidase. Lineweaver-Burk analyses of the kinetic data revealed a biphasic response; at low concentrations the alcohols increased the Vmax 5--7-fold while at higher concentrations they caused a purely competitive type of inhibition. For example, with n-butyl alcohol, increasing the alcohol's concentration in the assay medium from 0 to 0.14 M (0-1% (v/v)) resulted in a progressive increase in Vmax to a value 7-fold above the basal level without affecting the Km. However, between 0.14 and 0.54 M (1 and 4% (v/v)) n-butyl alcohol, the Km for 4-methylumbelliferyl-beta-D-glucopyranoside increased significantly from 0.14 to 0.93 mM. In contrast to n-butyl alcohol or isobutyl alcohol, which are potent activators, structurally related compounds like sec-butyl alcohol, tert-butyl alcohol, butylurea, and butanesulfonic acid did not stimulate the activity of the cytosolic beta-glucosidase. In the concentration range where activation was observed, conventional secondary replots of 1/delta slope versus 1/[alcohol] yielded perfect straight lines, demonstrating that binding of a single molecule of alcohol to the beta-glucosidase was responsible for the initial phase of activation. Furthermore, the glycohydrolase displayed a propensity to bind the longer chain alcohols, as reflected by the KA (binding constant) values of 555, 146, 34.1, and 7.47 mM for ethanol, n-propyl alcohol, n-butyl alcohol, 1-pentanol, respectively. This phenomenon of nonessential activation by alcohols has led us to speculate on the presence of a physiologic activator for the beta-glucosidase in mammalian tissues which contain this enzyme.  相似文献   

9.
We report the effects of allosteric effectors, ATP, CTP and UTP on the kinetics of the quaternary structure change of Escherichia coli ATCase during the enzyme reaction with physiological substrates. Time-resolved, small-angle, X-ray scattering of solutions allows direct observation of structural transitions over the entire time-course of the enzyme reaction initiated by fast mixing of the enzyme and substrates. In the absence of effectors, all scattering patterns recorded during the reaction are consistent with a two-state, concerted transition model, involving no detectable intermediate conformation that differs from the less active, unliganded T-state and the more active, substrate-bound R-state. The latter predominates during the steady-state phase of enzyme catalysis, while the initial T-state is recovered after substrate consumption. The concerted character of the structural transition is preserved in the presence of all effectors. CTP slightly shifts the dynamical equilibrium during a shortened steady state toward T while the additional presence of UTP makes the steady state vanishingly short. The return transition to the T conformation is slowed significantly in the presence of inhibitors, the effect being most severe in the presence of UTP. While ATP increases the apparent T to R rate, it also increases the duration of the steady-state phase, an apparently paradoxical observation. This observation can be accounted for by the greater increase in the association rate constant of aspartate, promoted by ATP, while the nucleotide produces a lesser degree of increase in the dissociation rate constant. Under our experimental conditions, using high concentrations of both enzyme and substrate, it appears that this very mechanism of activation turns the activator into an efficient inhibitor. The scattering patterns recorded in the presence of ATP support the view that ATP alters the quaternary structure of the substrate-bound enzyme, an effect reminiscent of the reported modification of PALA-bound R-state by Mg-ATP.  相似文献   

10.
Chemotactic stimulation of Dictyostelium discoideum cells induces a fast transient increase of cGMP levels which reach a peak at 10 s. Prestimulation levels are recovered in approximately 30 s, which is achieved mainly by the action of a guanosine 3',5'-monophosphate cGMP-specific phosphodiesterase. This enzyme is activated about fourfold by low cGMP concentrations. The phosphodiesterase has two distinct cGMP-binding sites: a catalytic site and an activator site. cAMP does not bind to either site; inosine 3',5'-monophosphate (cIMP) binds only to the catalytic site, whereas 8-bromoguanosine 3',5'-monophosphate (c-b8-GMP) preferentially binds to the activator site. For detailed kinetical measurements we have used [3H]cIMP as the substrate and c-b8-GMP as the activator. c-b8-GMP activated the hydrolysis of [3H]cIMP by reducing the Km, whereas the Vmax was not altered. The hydrolysis of [3H]cIMP was measured at 5-s intervals by using a new method for the separation of 5'-nucleotides from cyclic nucleotides. The hydrolysis of [3H]cIMP by nonactivated enzyme or by preactivated enzyme was linear with time, which indicates that a steady state is reached at the catalytic site within 5 s after addition of the substrate. In contrast, the hydrolysis of [3H]cIMP immediately after activation by 0.1 microM c-b8-GMP was not linear with time, but increased in a quasi-exponential manner with a time constant of 21 s. This suggests that a steady state at the activator site is only reached in 30-45 s after addition of the activator. The on-rate of activation (k1) was 3 X 10(5) M-1s-1 for c-b8-GMP and 1.4 X 10(5) M-1s-1 for cGMP. The off-rate of activation (k-1) was 0.03 s-1 for both c-b8-GMP and cGMP. The significance of these kinetic constants for the chemoattractant-mediated cGMP response in vivo is discussed.  相似文献   

11.
The role of Rubisco activase in steady-state and non-steady-state photosynthesis was analyzed in wild-type (Oryza sativa) and transgenic rice that expressed different amounts of Rubisco activase. Below 25°C, the Rubisco activation state and steady-state photosynthesis were only affected when Rubisco activase was reduced by more than 70%. However, at 40°C, smaller reductions in Rubisco activase content were linked to a reduced Rubisco activation state and steady-state photosynthesis. As a result, overexpression of maize Rubisco activase in rice did not lead to an increase of the Rubisco activation state, nor to an increase in photosynthetic rate below 25°C, but had a small stimulatory effect at 40°C. On the other hand, the rate at which photosynthesis approached the steady state following an increase in light intensity was rapid in Rubisco activase-overexpressing plants, intermediate in the wild-type, and slowest in antisense plants at any leaf temperature. In Rubisco activase-overexpressing plants, Rubisco activation state at low light was maintained at higher levels than in the wild-type. Thus, rapid regulation by Rubisco activase following an increase in light intensity and/or maintenance of a high Rubisco activation state at low light would result in a rapid increase in Rubisco activation state and photosynthetic rate following an increase in light intensity. It is concluded that Rubisco activase plays an important role in the regulation of non-steady-state photosynthesis at any leaf temperature and, to a lesser extent, of steady-state photosynthesis at high temperature.  相似文献   

12.
P D Roepe 《Biochemistry》1992,31(50):12555-12564
Continuous monitoring of fluorescence (CMF) has been used to examine doxorubicin efflux from intact human myeloma cells. The time resolution of these measurements has enabled detailed comparison of the initial rates of efflux for the drug-sensitive myeloma line RPMI 8226 and a series of sequentially derived multidrug-resistant (MDR) lines expressing different amounts of human MDR protein (P-glycoprotein). Cells that are 3-, 10-, 60-, or 120-fold resistant to doxorubicin export approximately 10, 20, 30, or 33% more doxorubicin than the parental sensitive cells, respectively, when all are preloaded to the same level of total intracellular drug. Remarkably, however, when cells are loaded to the same level of exchangeable drug the initial rates of efflux are found to be virtually identical. This agreement between rates is apparently not dependent on the drug concentration. Approximately 50% of the increase in the steady-state level of doxorubicin efflux for the resistant cells is abolished upon glucose starvation. However, surprisingly, the apparent initial rates of efflux from the treated and untreated cells are found to be virtually the same. Pretreatment of the resistant cells with verapamil reduces the steady-state level of efflux but increases the apparent initial rate at some concentrations. Conversely, vincristine does not alter steady state but slows the initial rate of efflux from both sensitive and resistant cells by approximately the same extent. Finally, quite interestingly, a nearly linear relationship between pHi and relative steady state of efflux is found for the series of cell lines. These data are interpreted in terms of existing models for MDR.  相似文献   

13.
In L6 myotubes, redistribution of a hemagglutinin (HA) epitope-tagged GLUT4 (HA-GLUT4) to the cell surface occurs rapidly in response to insulin stimulation and AMP-activated protein kinase (AMPK) activation. We have examined whether these separate signaling pathways have a convergent mechanism that leads to GLUT4 mobilization and to changes in GLUT4 recycling. HA antibody uptake on GLUT4 in the basal steady state reached a final equilibrium level that was only 81% of the insulin-stimulated level. AMPK activators (5-aminoimidazole-4-carboxyamide ribonucleoside (AICAR) and A-769662) led to a similar level of antibody uptake to that found in insulin-stimulated cells. However, the combined responses to insulin stimulation and AMPK activation led to an antibody uptake level of ∼20% above the insulin level. Increases in antibody uptake due to insulin, but not AICAR or A-769662, treatment were reduced by both wortmannin and Akt inhibitor. The GLUT4 internalization rate constant in the basal steady state was very rapid (0.43 min−1) and was decreased during the steady-state responses to insulin (0.18 min−1), AICAR (0.16 min−1), and A-769662 (0.24 min−1). This study has revealed a nonconvergent mobilization of GLUT4 in response to activation of Akt and AMPK signaling. Furthermore, GLUT4 trafficking in L6 muscle cells is very reliant on regulated endocytosis for control of cell surface GLUT4 levels.  相似文献   

14.
The kinetics of α-methyl-d-glucoside accumulation by rat kidney cortex slices under conditions of varying extracellular sodium concentration were investigated. Extracellular sodium reduction below 144 mequivi/l resulted in a diminished initial uptake and reduced influx calculated by steady-state analysis of a two-compartment system. At 72 mequiv/l extracellular sodium efflux was decreased to the same extent as influx resulting in the same steady state concentration that was observed at 144 mequiv/l sodium. At 36 mequiv/l the steady state concentration was below that observed at 144 mequiv/l sodium because of a disproportionate decrease of influx. In the complete absence of extracellular sodium, no concentration gradient was achieved and efflux had become increased. Low extracellular sodium was associated with an increase in the apparent Km of transport without affecting the V. The apparent Ki for sodium appeared to be in th e 40 to 59 mequiv/l range. The presence of 20 mM α-methyl-d-glucose prompted the accelerated efflux of the sugar from the tubule cells in a normal fashion despite a low extracellular sodium concentration.  相似文献   

15.
The effects of substituents on the steady state and pre-steady state kinetics in alpha-chymotrypsin [EC 3.4.21.1]-catalyzed hydrolysis were studied using substituted phenyl acetates. In the steady state hydrolysis, substrate activation, which had been observed and studied previously for p-nitrophenyl acetate, was also observed for p-bromo, p-chloro-, and m-methylphenyl acetates. Little activation was observed for p-acetyl-, m-nitro-, p-methyl-, and p-methoxyphenyl acetates. Addition of p-dichlorobenzene increased kcat for all substrates examined and greatly diminished the substrate activation for the activatable substrate(s) to activator binding site(s). The value of kcat decreased in accordance with increase of the sigma-value of substituents. On the other hand, kcat/Km (app) showed an opposite sigma- dependence, as was previously observed. In pre-steady state measurements, little burst was observed for more electron-donating substituents than m-nitro. The sigma dependence of kcat is apparently not consistent with the prediction derived from that of kcat/Km (app) on the basis of the usual two-step mechanism with a common acetyl-enzyme intermediate.  相似文献   

16.
Activated thrombin-activable fibrinolysis inhibitor (TAFIa) is intrinsically unstable, a property that complicates the study of its role in regulating fibrinolysis. To investigate the effect of basic carboxypeptidases on fibrinolysis under conditions of constant carboxypeptidase activity, we employed pancreatic carboxypeptidase B (CPB), a homologous, stable basic carboxypeptidase, as a surrogate for TAFIa. Clots formed from TAFI-depleted plasma or from purified components were supplemented with tissue-type plasminogen activator and either CPB or TAFIa. The clot lysis data indicate that the down-regulation of fibrinolysis mediated by basic carboxypeptidases involves a threshold mechanism. At carboxypeptidase concentrations above the threshold, plasminogen activation is maintained in a fully down-regulated state; experiments in plasma showed that fibrinolysis is essentially halted by saturating concentrations of TAFIa and that fibrinolysis can be prolonged more than 45-fold by a stable carboxypeptidase. The threshold carboxypeptidase concentration was dependent on tissue-type plasminogen activator and antiplasmin concentrations, indicating that the threshold is determined by the steady-state plasmin concentration. Although obvious with CPB, the threshold was masked by the intrinsic instability of TAFIa and became apparent only when the effect of TAFIa was investigated over the picomolar concentration range. Because of the threshold effect and the instability of TAFIa, exponential increases in TAFIa concentration generate linear increases in lysis time. A model relating lysis time to TAFIa concentration, TAFIa half-life, and the threshold concentration of TAFIa is provided. The threshold effect has potentially important implications regarding the role of TAFIa and the regulation of clot lysis in vivo.  相似文献   

17.
Pyridine nucleotide levels were measured in intact spinach chloroplasts. The NADPH/NADP ratio was close to unity in darkened chloroplasts. On illumination, chloroplast NADP levels decreased rapidly. The decrease was more prominent at low than at high light intensities. In the presence of bicarbonate, NADP subsequently increased to reach a steady-state level. The kinetics of the increase were related in general, but not in detail, to the lag phase of photosynthesis. In the steady state, chloroplast NADP was sometimes, particularly during photosynthesis at high light intensities, less reduced in the light than in the dark. In the dark-light transition, phosphoglycerate reduction is driven by increases in the ratios NADPH/NADP and ATP/ADP. When photosynthesis accelerates after the initial lag phase, the NADPH/NADP ratio decreases and a high ratio of phosphoglycerate to triose phosphate becomes an important factor in driving carbon reduction. Under photosynthetic flux conditions, the redox state of the chloroplast NADP system appeared to be governed largely by the chloroplast ratio of phosphoglycerate to dihydroxyacetone phosphate and by the phosphorylation potential [ATP]/[ADP] [Pi]. The inhibitor of cyclic electron transport, antimycin A, increased reduction of the chloroplast NADP system. Even when reduction was almost complete in the presence of 5 μM antimycin A, photosynthesis was still significant at low light intensities. Electrons appeared to be effectively distributed between the cyclic electron-transport pathway and the noncyclic route to NADP at NADPH/NADP ratios as low as about 1. When bicarbonate was absent, the NADP system remained largely reduced in the light. The energy-transfer inhibitor, Dio-9, and uncouplers and agents which interfered with pH regulation of the Calvin cycle increased reduction of the NADP system while decreasing photosynthesis.  相似文献   

18.
K contractures and two-microelectrode voltage-clamp techniques were used to measure inactivation of excitation-contraction coupling in small bundles of fibers from rat extensor digitorum longus (e.d.l.) and soleus muscles at 21 degrees C. The rate of spontaneous relaxation was faster in e.d.l. fibers: the time for 120 mM K contractures to decay to 50% of maximum tension was 9.8 +/- 0.5 s (mean +/- SEM) in e.d.l. and 16.8 +/- 1.7 s in soleus. The rate of decay depended on membrane potential: in e.d.l., the 50% decay time was 14.3 +/- 0.7 s for contractures in 80 mM K (Vm = 25 mV) and 4.9 +/- 0.4 s in 160 mM K (Vm = -3 mV). In contrast to activation, which occurred with less depolarization in soleus fibers, steady state inactivation required more depolarization: after 3 min at -40 mV in 40 mM K, the 200 mM K contracture amplitude in e.d.l. fell to 28 +/- 10% (n = 5) of control, but remained at 85 +/- 2% (n = 6) of control in soleus. These different inactivation properties in e.d.l. and soleus fibers were not influenced by the fact that the 200 mM K solution used to test for steady state inactivation produced contractures that were maximal in soleus fibers but submaximal in e.d.l.: a relatively similar depression was recorded in maximal (200 mM K) and submaximal (60 and 80 mM K) contracture tension. A steady state "pedestal" of tension was observed with maintained depolarization after K contracture relaxation and was larger in soleus than in e.d.l. fibers. The pedestal tension was attributed to the overlap between the activation and inactivation curves for tension vs. membrane potential, which was greater in soleus than in e.d.l. fibers. The K contracture results were confirmed with the two-microelectrode voltage clamp: the contraction threshold increased to more positive potentials at holding potentials of -50 mV in e.d.l. or -40 mV in soleus. At holding potentials of -30 mV in e.d.l. or 0 mV in soleus, contraction could not be evoked by 15-ms pulses to +20 mV. Both K contracture and voltage-clamp experiments revealed that activation in soleus fibers occurred with a smaller transient depolarization and was maintained with greater steady state depolarization than in e.d.l. fibers. The K contracture and voltage-clamp results are described by a model in which contraction depends on the formation of a threshold concentration of activator from a voltage-sensitive molecule that can exist in the precursor, activator, or inactive states.  相似文献   

19.
Kinetic measurement of the reaction of dynein ATPase (ATP phosphohydrolase, EC 3.6.1.3) extracted from the gills of Mytilus edulis shows that in the presence of Mg2+ there is a very rapid initial liberation of Pi from the dynein-ATP system, followed by a slower liberation in the steady state. In view of following results, we have confirmed that this phenomenon is not due to the accumulation of end products, a fall in substrate concentration, nor to the presence of labile impurities in ATP but is due to the catalytic activity of dynein ATPase. 1. The replacement of native dynein by heat denatured dynein or other kinds of Mg2+-ATPase could not produce such a burst phenomenon under the same condition. 2. Both the rate of initial burst and that of steady state were proportional to enzyme content over a wide range under our standard condition. 3. Initial burst was also observed under the constant ATP level by using a ATP generate system. 4. Preincubation of dynein with Pi prior to initiation of the reaction did not eliminate the initial burst. Some properties of the initial rapid liberation of dynein ATPase were also examined. These are shown below. 5. The free ADP liberation did not show any initial burst though the Pi liberation did in the initial phase and the rate of free ADP liberation was almost equal to that of Pi liberation of the steady state. 6. Mg2+ was more effective than Ca2+ for the appearance of the initial burst while the liberation of Pi in the steady state was activated more by Ca2+ than by Mg2+. The addition of K+ in the presence of Mg2+ resulted in a marked increase of Pi liberation in the steady state but not in the initial state. 7. The activation energy of the initial burst was 9.7 kcal, which is slightly smaller than that of myosin ATPase.  相似文献   

20.
To investigate the relationship between growth rate and concentration of the nutrient that limits growth, 'Klebsiella aerogenes' NCTC 418 (K. pneumoniae) was grown in a glucose-limited chemostat. The actual time required to establish a steady-state glucose concentration exceeded that expected theoretically. Apparently, there is a long-term adaptation of the cells to nutrient limitation. As yet, it is not clear whether this has a phenotypic or genetic origin. In the final steady state, the dependence of the growth rate on glucose concentration could be mathematically described equally well by a hyperbolic and by a logarithmic function.  相似文献   

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