On the validity of the steady state assumption of enzyme kinetics

By estimating relevant time scales, a simple new condition can be found that ensures the validity of the steady state assumption for a standard enzyme-substrate reaction. The generality of the approach is demonstrated by applying it to the determination of validity criteria for the steady state assumption applied to an enzyme-substrate-inhibitor system.     

Purification and characterization of bile salt sulfotransferase from human liver

Bile salt sulfotransferase, the enzyme responsible for the formation of bile salt sulfate esters, was purified extensively from normal human liver. The purification procedure included DEAE-Sephadex chromatography, taurocholate-agarose affinity chromatography, and preparative isoelectrofocusing. The final preparation had a specific activity of 18 nmol min-1 mg protein-1, representing a 760-fold purification from the cytosol fraction with a overall yield of 15%. The human enzyme has a Mr of 67,000 and a pI of 5.2. DEAE-Sephadex chromatography of the cytosol fraction revealed only a single species of activity. The limiting Km for the sulfuryl donor, 3'-phosphoadenosine-5'-phosphosulfate (PAPS), is 0.7 microM. The limiting Km for the sulfuryl acceptor, glycolithocholate (GLC), is 2 microM. Reciprocal plots were intersecting. Product inhibition studies established that adenosine 3',5'-diphosphate (PAP) was competitive with PAPS (Ki = 0.2 microM) and noncompetitive with respect to GLC. GLC sulfate was competitive with GLC (Ki = 2.2 microM) and noncompetitive with respect to PAPS. Also, 3-ketolithocholate, a dead-end inhibitor, was competitive with GLC (Ki = 0.6 microM) and noncompetitive with respect to PAPS. Iso-PAP (the 2' isomer of PAP) was competitive with PAPS (Ki = 0.3 microM) and noncompetitive with GLC. The cumulative results of the steady-state kinetics experiments point to a random mechanism for the binding of substrates and release of products. The purified enzyme displays no activity toward estrone, testosterone, or phenol. Among the reactive substrates tested, the Vmax/Km values are in the order GLC greater than 3-beta OH-5-cholenic acid greater than glycochenodeoxycholate greater than glycocholate. p-Chloromercuribenzoate inactivated the enzyme. Either PAPS or GLC protected against inactivation, suggesting the presence of a sulfhydryl group at the active site.     

Ecto-nucleotide triphosphatase activity of human lymphocytes: studies of normal and CLL lymphocytes

We have studied the apparent kinetic parameters of the ecto-nucleotide triphosphatase from CLL B lymphocytes and compared them to blood and tonsillar B and T cells. The Vmax of the ecto-ATPase activity in CLL B lymphocytes, was 65 +/- 10 fmol Pi/cell per 30 min compared to 37 +/- 2.1 in blood B lymphocytes, and 8.5 +/- 1.7 in blood T lymphocytes. The ATPase of membranes prepared from CLL, tonsillar B and T, and blood T lymphocytes had a relationship among the cell types similar to that seen in intact cells. However, no difference in the km for ATP, .17 mM, or the km for magnesium, .15 mM was found in the ecto-ATPase of CLL lymphocytes as compared to blood or tonsillar B cells. The ectoenzyme of CLL cells hydrolyzed GTP, ITP, CTP, and UTP as well as ATP. Further, ATP added to an enzyme assay containing an alternative nucleotide did not result in increased phosphate release. Nucleotide acceptance of blood B and T lymphocytes was very similar to that of CLL B cells. ATP inhibited phosphate release when present in excess of magnesium in both CLL and blood B lymphocytes. These data indicate that there is greater ectonucleotide triphosphatase activity in tonsillar and blood B lymphocytes, including CLL, as compared either to blood or tonsillar T lymphocytes. However, CLL cells showed no qualitative difference from blood or tonsillar B cells in ectonucleotidase activity. Thus, the higher activity in CLL cells is "B cell-like" and might reflect, also, their maturation stage or monoclonal origin.     

Evidence for two distinct intracellular pools of inorganic sulfate in Penicillium notatum.

A strain of Penicillium notatum unable to metabolize inorganic sulfate can accumulate sulfate internally to an apparent equilibrium concentration 10(5) greater than that remaining in the medium. The apparent Keq is near constant at all initial external sulfate concentrations below that which would eventually exceed the internal capacity of the cells. Under equilibrium conditions of zero net flux, external 35SO42- exchanges with internal, unlabeled SO42- at a rate consistent with the kinetic constants with the sulfate transport system. Efflux experiments demonstrated that sulfate occupies two distinct intracellular pools. Pool 1 is characterized by the rapid release of 35SO42- when the suspension of preloaded cells is adjusted to 10 mM azide at pH 8.4 (t 1/2, 0.38 min). 35SO42- in pool 1 also rapidly exchanges with unlabeled medium sulfate. Pool 2 is characterized by the slow release of 35SO42- induced by azide at pH 8.4 or unlabeled sulfate (t 1/2, 32 to 49 min). Early in the 35SO42- accumulation process, up to 78% of the total transported substrate is found in pool 1. At equilibrium, pool 1 accounts for only about 2% of the total accumulated 35SO42-. The kinetics of 35SO42- accumulation is consistent with the following sequential process: medium----pool 1----pool 2. Monensin (33 microns) accelerates the transfer of 35SO42- from pool 1 to pool 2. Valinomycin (0.2 microM) and tetraphenylboron- (1 mM) retard the transfer of 35SO42- from pool 1 to pool 2. At the concentrations used, neither of the ionophores nor tetraphenylboron- affect total 35SO42- uptake. Pool 2 may reside in a vacuole or other intracellular organelle. A model for the transfer of sulfate from pool 1 to pool 2 is presented.     

ATP sulfurylase from Penicillium chrysogenum: measurements of the true specific activity of an enzyme subject to potent product inhibition and a reassessment of the kinetic mechanism

Homogeneous ATP sulfurylase from Penicillium chrysogenum has been reported to have an extremely low activity toward its physiological inorganic substrate, sulfate. This low activity is an artifact resulting from potent product inhibition by 5'-adenylylsulfate (APS) (Ki less than 0.25 microM). Assays based on 35S incorporation from 35SO4(2-) into charcoal-adsorbable [35S]APS are nonlinear with time, even in the presence of a large excess of inorganic pyrophosphatase. However, in the presence of excess APS kinase (along with excess pyrophosphatase), the ATP sulfurylase reaction is linear with time and the enzyme has a specific activity (Vmax) of 6 to 7 units mg protein-1 corresponding to an active site turnover number of at least 400 min-1. Monovalent oxyanions such as NO3-, ClO3-, ClO4-, and FSO3- are competitive with sulfate (or molybdate) and essentially uncompetitive with respect to MgATP. However, thiosulfate (SSO3(2-)), a true sulfate analog and dead-end inhibitor of the enzyme (competitive with sulfate or molybdate), exhibited clear noncompetitive inhibition against MgATP. Furthermore, APS was competitive with both MgATP and molybdate in the molybdolysis assay. These results suggest (a) that the mechanism of the normal forward reaction may be random rather than ordered and (b) that the monovalent oxyanions have a much greater affinity for the E X MgATP complex than for free E. In this respect, FSO3-, ClO4-, etc., are not true sulfate analogs although they might mimic an enzyme-bound species formed when MgATP is at the active site. The nonlinear ATP sulfurylase reaction progress curves (with APS accumulating in the presence of excess pyrophosphatase or PPi accumulating in the presence of excess APS kinase) were analyzed by means of "average velocity" plots based on an integrated rate equation. This new approach is useful for enzymes subject to potent product inhibition over a reaction time course in which the substrate concentrations do not change significantly. The analysis showed that ATP sulfurylase has an intrinsic specific activity of 6 to 7 units mg protein-1. Thus, the apparent stimulation of sulfurylase activity by APS kinase results from the continual removal of inhibitory APS rather than from an association of the two sulfate-activating enzymes to form a "3'-phospho-5'-adenylylsulfate synthetase" complex in which the sulfurylase has an increased catalytic activity. The progress curve analyses suggest that APS is competitive with both MgATP and sulfate, while MgPPi is a mixed-type inhibitor with respect to both substrates. The cumulative data point to a random sequence for the forward reaction with APS release being partially rate limiting.     

A case study of linear versus non-linear modelling

Theories for the facilitation of neurotransmitter release are discussed in a case study of the properties of linear and non-linear models for a phenomenon whose time course can be represented by a sum of decaying exponentials. Particular attention is paid to the effects of a "key factor" on the slopes and amplitudes of the exponentials that can be derived from semilog plots of the data. It is shown that the presence of such effects can give strong evidence for the inappropriateness of linear models. A non-linear model is demonstrated to be capable of describing the changes with extracellular Ca concentration of straight line segments that fit data in semilog plots of facilitation as a function of time. The conclusion is reached that even if data seems to be representable by several independently alterable exponentials one must be cautious in drawing inferences concerning the number, linearity, or independence of the underlying processes.     

A multicomponent analysis of amino acid transport systems in human lymphocytes. 1. Kinetic parameters of the A and L systems and pathways of uptake of naturally occurring amino acids in blood lymphocytes

We have determined the kinetic parameters of natural and system-specific synthetic amino acid transport by human blood lymphocytes, using a multi-component computer analysis that separates carrier-mediated uptake from diffusion. These studies were initiated in order to provide the basis for studies of human blood T and B lymphocytes and malignant lymphocytes. Methylaminoisobutyric acid (methyl-AIB) and 2-amino-2-carboxy-bicyclo (2,2,1) heptane (BCH) uptakes into lymphocytes were measured as prototypes of A- and L-system amino acid transport. The Michaelis constant for methyl-AIB uptake was 540 microM; the maximal velocity of uptake was 28 mumol/L cell water/min, and the diffusion coefficient was .004 min-1. In contrast, the Michaelis constant for BCH uptake was 63 microM; the maximal velocity was 969 mumol/L cell water/min, and the diffusion coefficient was .141 min-1. The transport of the naturally occurring amino acids, alanine, proline, and leucine was defined by studies of: (1) competitive inhibition with the system-specific synthetic amino acids, methyl-AIB and BCH, (2) the effect of the transcellular sodium gradient on transport, and (3) evaluation of the time-dependent increase of transport in amino acid-deficient medium (adaptation). Alanine was transported principally (approximately 70%) by the ASC-system, and leucine was transported principally (70%) by the L-system in lymphocytes. The analysis of proline transport was more complex because of a large component of uptake by diffusion even at low amino acid concentrations. Taken together, the kinetics of sodium-sensitive uptake and the results of competitive inhibition studies indicated that proline was transported by the A-system (30%), the ASC system (30%), and also by the L-system (15%).     

Modeling immunotherapy for allergy

Type I hypersensitivity, which functions to protect the organism from parasites, is caused by binding of antigen to IgE antibodies pre-attached to the cell surface of tissue mast cells and their circulating counterparts, the basophils. In “allergy,” type I hypersensitivity is inappropriately induced by protein-based foreign substances (such as pollen) or protein components of insect stings, which in the normal course of events would be cleared from the organism without causing any damage. Paradoxically, a successful clinical treatment of allergy involves repeated immunization of allergic persons with low doses of the allergen—immunotherapy. Investigation of the available experimental evidence leads to the conclusion that the phenomena of immunotherapy are best addressed in terms of the interplay among the mechanism(s) of immune memory—Th1/Th2 cross-regulation—and the physical compart-mentalization of the immune system. These conclusions are illustrated with a numerical simulation.     

Characterization of the cellulose-binding domain of the Clostridium cellulovorans cellulose-binding protein A.

Cellulose-binding protein A (CbpA), a component of the cellulase complex of Clostridium cellulovorans, contains a unique sequence which has been demonstrated to be a cellulose-binding domain (CBD). The DNA coding for this putative CBD was subcloned into pET-8c, an Escherichia coli expression vector. The protein produced under the direction of the recombinant plasmid, pET-CBD, had a high affinity for crystalline cellulose. Affinity-purified CBD protein was used in equilibrium binding experiments to characterize the interaction of the protein with various polysaccharides. It was found that the binding capacity of highly crystalline cellulose samples (e.g., cotton) was greater than that of samples of low crystallinity (e.g., fibrous cellulose). At saturating CBD concentration, about 6.4 mumol of protein was bound by 1 g of cotton. Under the same conditions, fibrous cellulose bound only 0.2 mumol of CBD per g. The measured dissociation constant was in the 1 microM range for all cellulose samples. The results suggest that the CBD binds specifically to crystalline cellulose. Chitin, which has a crystal structure similar to that of cellulose, also was bound by the CBD. The presence of high levels of cellobiose or carboxymethyl cellulose in the assay mixture had no effect on the binding of CBD protein to crystalline cellulose. This result suggests that the CBD recognition site is larger than a simple cellobiose unit or more complex than a repeating cellobiose moiety. This CBD is of particular interest because it is the first CBD from a completely sequenced nonenzymatic protein shown to be an independently functional domain.