Multivariate Homogeneity Testing Using an Extended Concept of Nearest Neighbors

Given independent multivariate random samples {X_ij: j = 1, …, n_i} from F_i, for i = 1,2, a test is desired for H₀: F₁ = F₂ against general alternatives. Consider the k · (n₁ + n₂) possible ways of choosing one observation from the combined samples and then one of its k nearest neighbors, and let S_k be the proportion of these choices in which the point and neighbor are in the same sample. Schilling (1986) proposed S_k as a test statistic, but did not indicate how to determine k. We suggest as test statistic W = N Σ kS_k, which we show is equivalent to a sum of N Wilcoxon rank sums, and also to a sum of two two-sample U-statistics of degrees (1, 2) and (2, 1). Simulation with multivariate normal data suggests that our test is generally more powerful than Schilling's test using k = 1, 2, or 3. We illustrate its use with Fisher's iris data.     

Studies on mass transfer characteristics of a modified airlift fermenter

An approach to modify external loop airlift bioreactor is presented that examines its performance with respect to mass transfer. There are various designs of airlift fermenter [1]. In the proposed system [2] the riser has been replaced by a tube of irregular geometry, in the form of converging-diverging sections (CDT-ALF), so that better mass transfer may be obtained due to better liquid mixing caused by the bubble flow, pulsation effect and early transition to turbulence. Mass transfer characteristics of the modified airlift fermenter CDT-ALF were studied and compared with those of a conventional one, UT-ALF. Overall volumetric mass transfer coefficient,K _L a, was determined by sulfite oxidation method.K _L a was determined with respect toU _G for differenth _i. HigherK _L a was always observed in CDT-ALF compared to that in UT-ALF under any operating condition ofh _i andU _G. If theK _L a values are compared in both the systems under their optimum conditions ofh _i andU _G, CDT-ALF showed 122.5% higher values ofK _L a compared to UT-ALF. However, when both the systems were operated at the lowest experimental conditions ofU _G, thek _L a in CDT-ALF was found to be 170% higher. In UT-ALF while with the decrease ofU _G,k _L a decreased, in CDT-ALF the reverse was observed i.e. at lowU _G,K _L a was higher. However with the increase ofh _i,K _L a decreased in both the systems. To predict volumetric mass transfer coefficientK _L a, empirical correlations were developed by dimensional analysis for both the reactors. The correlations were experimentally verified to determine their reliability to predict mass transfer coefficient and the deviation was found within reasonable limit.List of abbreviations ALF Airlift Fermenter - UT-ALF Uniform Tube Airlift Fermenter - CDT-ALF Converging-diverging Tube Airlift Fermenter     

Helix-coiled transition in heteropolymers. I. Ground-state energy

A new technique is presented for treating the ground state of an heteropolymer with a random sequence of components. An exact system of equations is found for determining the ground state energy E which is equal to the polymer free energy f in the lowest-order approximation in T/V (V/2 is the large “surface” energy arising at the boundaries between coiled and “helical” sections: V ? T, U_k; U₁ and –U₂ are the free energies of the components counted from the corresponding coiled state energies). These equations are essentially simplified at certain fixed values of the ratio U₁/U₂. For integer values of U₂/U₁ and U₁/U₂ a solution is obtained with an accuracy exp(–V/U_k). The ground-state energy as a function of U₁ and U₂ is shown to be highly irregular: its derivatives have jumps at an infinite number of points. These jumps provide a fine structure of the melting curves. A smoothed over the jumps function E′ is found by way of analytic continuation from the integer values of U₁/U₂ and U₂/U₁. The accuracy of the approximation f ≈ E is estimated and the correctional term of order T/V is determined.     

Mechanism and role of furosemide-sensitive K+ transport in L cells: A genetic approach

Summary As part of a genetic study of the mechanisms for cation transport in cultured mammalian cells, two mouse fibroblastic cell lines have been compared with respect to unidirectional⁴²K⁺ influx. The cell lines areLM(TK ^–) andLTK-5, a mutant selected fromLM(TK ^–) by the ability to grow in medium containing 0.2mm K⁺. In both cell lines, the overall influx can be resolved into three components: (i) a ouabain- and vanadate-sensitive component ( ⁱ M_K ^f), presumably the Na/K pump, which is a saturable function of extracellular K⁺ with aK _1/2 of 1.3mm; (ii) a furosemide-sensitive component ( ⁱ M_k ^fx), also a saturable function of extracellular K⁺, with aK _1/2 of 6mm; and (iii) a diffusional component ( ⁱ M_k ^d); which is a linear function of extracellular K⁺.By several independent criteria, ⁱ M_k ^o and ⁱ M_k ^f appear to be distinct transport processes. First, as indicated above, they can be separated with the use of inhibitors. In addition, they can be separated genetically, since theLTK-5 mutant shows a threefold elevation in ⁱ M_k ^f with no change in ⁱ M_k ^o. And finally, extracellular Na⁺ has no effect on ⁱ M_k ^o, but stimulates ⁱ M_k ^f, a result consistent with the notion that ⁱ M_k ^f influx occurs by Na–K cotransport.Further experiments were directed towards understanding the nature of theLTK-5 mutation and the physiological role of ⁱ M_k ^f. LTK-5 differs from the parental cell line, not only in having an increased ⁱ M_k ^f, but also in having a large cell volume, a slow maximal growth rate, and an ability to grow at 0.2mm K⁺. The most straightforward interpretation — that the increased ⁱ M_k ^f is itself responsible—is unlikely since the addition of furosemide to the growth medium had no effect upon the growth rate or cell volume of the mutant at either normal or low extracellular K⁺ concentrations. It did, however, render the parent capable of growth at 0.2mm K⁺. Possible interpretations are discussed.     

Multiple intermediates in the reaction of bovine beta-trypsin with bovine pancreatic trypsin inhibitor (Kunitz)

The kinetics of the formation of the complex between bovine β-trypsin and the bovine basic pancreatic trypsin inhibitor (BPTI) was investigated using three different signals: the displacement of proflavine, the optical density changes in the UV region, and the loss of the enzymatic activity. For the three different signals, with inhibitor in excess over bovine β-trypsin ([BPTI] ≥ 5 × [bovine β-trypsin]), the time course of the reaction corresponds to a pseudo-first-order process. The concentration dependence of the rate is second order at low BPTI concentrations and tends to first order at high inhibitor concentrations. This behavior may be explained by relatively rapid preequilibria followed by limiting first-order processes according to The values of K_i, k_+i, and k_(on)i ( = k_+i/K_i) have been determined for the different reactions at three pH values: 6.80, 4.80, and 3.50. The kinetic parameters differ widely for the processes reflected by the various signals; the difference increases upon lowering pH. The results indicate that the formation of the bovine β-trypsin–BPTI complex is not an all-or-nothing process, but involves several intermediates corresponding to discrete reaction steps, which are differently affected by ionization processes.     

Determination of the optimum operating time for batch isothermal performance of enzyme-catalyzed multisubstrate reactions

This communication consists of a mathematical analysis encompassing the maximization of the average rate of monomer production in a batch reactor performing an enzymatic reaction in a system consisting of a multiplicity of polymeric substrates which compete with one another for the active site of a soluble enzyme, under the assumption that the form of the rate expression is consistent with the Michaelis-Menten mechanism. The general form for the functional dependence of the various substrate concentrations on time is obtained in dimensionless form using matrix terminology; the optimum batch time is found for a simpler situation and the effect of various process and system variables thereon is discussed. The reasoning developed here emphasizes, in a quantitative fashion, the fact that the commonly used lumped substrate approaches lead to nonconservative decisions in industrial practice, and hence should be avoided when searching for trustworthy estimates of optimum operation.List of Symbols O 1/s row vector of zeros - a 1/s row vector of rate constants k _i(i = 2,...,N) - A 1/s matrix of rate constants k _i and k_–i (i=2,...,N) - b 1/s row vector of rate constant k ₂ and zeros - C mol/m³ molar concentration of S - C mol/m³ vector of molar concentrations of C _i (i=0, 1, 2, ..., N) - C ₀ mol/m³ column vector of initial molar concentrations of C _i(i=0, 1, 2,.., N) - C _–01 mol/m³ column vector of initial molar concentrations of C _i(i=2,..., N) - C _{E, tot} mol/m³ total molar concentration of enzyme molecules - C _i mol/m³ molar concentration of S _i (i=0,1,2,...,N) - C _{i, o} mol/m³ initial molar concentration of S _i(i=0, 1, 2, ..., N) - E enzyme molecule - I identity matrix - K 1/s matrix of lumped rate constants - k _i 1/s pseudo-first order lumped rate constant associated with the formation of S _i -1 (i=1, 2, ...,N) - k _{cat, i} 1/s first order rate constant associated with the formation of S _i-1 (i=1, 2, ..., N) - K _m mol/m³ Michaelis-Menten constant - L number of distinct eigenvalues - M _i multiplicity of the i-th eigenvalue - N maximum number of monomer residues in a single polymeric molecule - r ₁ mol/m³ s rate of formation of S ₀ - r _i mol/m³ s rate of release of S _i -1 - r _opt maximum average dimensionless rate of production of monomer S₀ - S lumped, pseudo substrate - S₁ inert moiety - S _i substrate containing i monomer residues, each labile to detachment as - S₀ by enzymatic action (i=1,2,...,N) - t s time elapsed since startup of batch reaction - t _lag s time interval required for cleaning, loading, and unloading the batch reactor - t _opt s time interval leading to the maximum average rate of monomer production - v _ij s^1-j eigenvectors associated with eigenvalue imi (i=1, 2, ..., L; j =1, 2, ..., M_i) Greek Symbols _ij mol/m³ arbitrary constant associated with eigenvalue _i (i=1, 2, ..., L; j=1, 2, ..., M _i ) - 1/s generic eigenvalue - _i 1/s i-th eigenvalue     

The gas washout determination under a symmetry assumption

In an open circuit gas washout determination the output of test substance is shown to be of the form ∑ _i=0 ^∞ A _i λ _i ^k on thekth expiration whereA _i >0,i=1,2,... and 1 > λ₁ ≥ λ₂...≥ 0 provided the transition from inspiration to expiration has certain symmetry properties with the transition from expiration to inspiration. In general, no direct physical interpretation such as volume for theA _t ’s or fraction of retained gas on expiration for the λ _i is justified.     

Species Differences in the Selective Inhibition of Monoamine Oxidase (1-methyl-2-phenylethyl)hydrazine and its Potentiation by Cyanide

The potentiating effects of cyanide on the inhibition of rat liver mitochondrial monoamine oxidase-A & B and of ox liver mitochondrial MAO-B by pheniprazine [(1-methyl-2-phenylethyl)hydrazine] has been studied. Pheniprazine was shown to behave as a mechanism-based MAO inhibitor. For rat liver MAO-B, the initial non-covalent step was characterized by dissociation constant (K _i) of 2450 nM and the first-order rate constant (k ₊₂) for the covalent adduct formation was 0.16 min⁻¹. As a reversible inhibitor it was selective towards rat liver MAO-A (K _i = 420 nM) but the rate of irreversible inhibition of that enzyme was considerably slower (k ₊₂ = 0.06 min⁻¹). MAO-B from ox liver more closely resembled MAO-A from the rat in sensitivity to reversible inhibition by pheniprazine (K _i = 450 nm) but it was closer to rat liver MAO-B in rate of irreversible inhibition (k ₊₂ = 0.29 min⁻¹). The K _i values were significantly decreased in the presence of KCN but there was little effect on the k ₊₂ values. However, sensitivities of the different enzymes to KCN varied widely and considerably higher concentrations of KCN were required for this effect to be apparent with the rat liver mitochondrial MAO-A than with MAO-B from rat and ox liver. The kinetic behaviour of cyanide activation was consistent with partial (non-essential) competitive activation in all cases. Special issue dedicated to Dr. Moussa Youdim.     

Optimal temperature and concentration profiles in a cascade of CSTR's performing Michaelis-Menten reactions with first order enzyme deactivation

A necessary condition is found for the intermediate temperatures and substrate concentrations in a series of CSTR's performing an enzyme-catalyzed reaction which leads to the minimum overall volume of the cascade for given initial and final temperatures and substrate concentrations. The reaction is assumed to occur in a single phase under steady state conditions. The common case of Michaelis-Menten kinetics coupled with first order deactivation of the enzyme is considered. This analysis shows that intermediate stream temperatures play as important a role as intermediate substrate concentrations when optimizing in the presence of nonisothermal conditions. The general procedure is applied to a practical example involving a series of two reactors with reasonable values for the relevant five operating parameters. These parameters are defined as dimensionless ratios involving activation energies (or enthalpy changes of reaction), preexponential factors, and initial temperature and substrate concentration. For negligible rate of deactivation, the qptimality condition corresponds to having the ratio of any two consecutive concentrations as a single-parameter increasing function of the previous ratio of consecutive concentrations.List of Symbols C _E,0 mol.m^–3 Initial concentration of active enzyme - C _E,i mol.m^–3 Concentration of active enzyme at the outlet of the i-th reactor - C _S,0 mol.m^–3 Initial concentration of substrate - C _S,i mol.m^–3 Concentration of substrate at the outlet of the i-th reactor - Da _i Damköhler number associated with the i-th reactor ((V _i.k_v,0.C_E,0)/(Q.C_S,0)) - Da _min Minimum value of the overall Damköhler number - Da _tot Overall Damköhler number - E _d J.mol^–1 Activation energy of the step of deactivation of the enzyme - E _m J.mol^–1 Standard enthalpy change of the step of binding of substrate to the enzyme - E _v J.mol^–1 Activation energy of the step of enzymatic transformation of substrate - i Integer variable - j Dummy integer variable - k Dummy integer variable - k _d,i s^–1 Kinetic constant associated with the deactivation of enzyme in the i-th reactor (k _d,o·exp{–E _d/(R.T _i}) - k _d,0 s^–1 Preexponential factor of the kinetic constant associated with the deactivation of the enzyme - K _m,i mol.m^–3 Equilibrium constant associated with the binding of substrate to the enzyme in the i-th reactor, (k _m,o·exp{–E _m}(R.T _i}) - K _m,0 mol.m^–3 Preexponential factor of the Michaelis-Menten constant associated with the binding of substrate to the enzyme - k _v,i s^–1 Kinetic constant associated with the transformation of the substrate by the enzyme in the i-th reactor (k _v,o·exp{–E _v/(R.T _i})) - k _v,0 s^–1 Preexponential factor of the kinetic constant associated with the transformation of the substrate by the enzyme - N Number of reactors in the series - Q m³.s^–1 Volumetric flow rate of reacting liquid through the reactor network - R J.K^–1.mol^–1 Ideal gas constant - T _i K Absolute temperature at the outlet of the i-th reactor - T ₀ K Initial absolute temperature - V _i m³ Volume of the i-th reactor - v _max mol.m^–3.s^–1 Maximum rate of reaction under saturation conditions of substrate - x _i Normalized concentration of substrate (C_S,i/C_{S, 0}) - x _i,opt Optimum value of the normalized concentration of substrate - y _i Dimensionless temperature (exp{–T ₀/T _i}) - y _i,opt Optimum value of the dimensionless temperature Greek Symbols Dimensionless preexponential factor associated with the Michaelis-Menten constant (K _m,0/C_s,0) - Dimensionless activation energy of the step of enzymatic transformation of substrate (E _v/R.T₀)) - Dimensionless standard enthalpy change of the step of binding of substrate to the enzyme (E _m/(R.T₀)) - Dimensionless activation energy of the step of deactivation of the enzyme (E _d/(R.T₀)) - Dimensionless deactivation preexponential factor ((k _d,0.C_S,0)/(k_v,0.C_E,0)     

Purification, characterization and inhibition of sterol C24-methyltransferase from Candida albicans

Solubilized sterol C24-methyltransferase (24-SMT) was purified to homogeneity from a cell extract of the yeast Candida albicans (Ca) by anion exchange chromatography, gel permeation chromatography and fast performance liquid chromatography using a Mono Q column. The purified enzyme has an apparent molecular mass of 178 kDa on gel permeation chromatography and 43 kDa on SDS/PAGE, indicating that it is composed of four identical subunits. The substrate requirement of the native enzyme has an optimal specificity for zymosterol with associated kinetic constants of K_m 50 μM and k_cat of 0.01 s⁻¹. The product of the enzyme incubated with zymosterol was fecosterol. Inhibition of the catalyst was observed with substrate analogs designed as transition state analogs (25-azalanosterol, K_i = 54 nM and 24 (R,S),25-epiminolanosterol, K_i = 11 nM) or as mechanism-based inactivators (26,27-dehydrozymosterol, K_i 9 μM) and k_inact = 0.03 min⁻¹) of the C24-methylation reaction. Product analogs ergosterol and fecosterol, but neither cholesterol nor sitosterol, inhibited activity affording K_i values of 20 and 72 μM, respectively. Ammonium and thia analogs of the intermediates of the sterol C24-methyl reaction sequence were effective growth inhibitors exhibiting IC₅₀ values that ranged from 3 to 20 μM.     

On the use of non-linear regression with the logistic equation for changes with time of percentage root length colonized by arbuscular mycorrhizal fungi

For the regression of sigmoid-shaped responses with time t of colonization C of roots by arbuscular mycorrhizal fungi, C=C _p/1+[e ^−k(t−ti) ] is the most useful form of the logistic equation. At the time of inflection t _i the slope is maximal and directly proportional to the product of the colonization plateau C _p and the abruptness k of the curve. Coefficient k has a high value when the curve rises abruptly following and preceding long shallow phases. The logistic equation has a curve that is symmetrical about t _i such that C=C _p/2 at inflection. Although the logistic equation can generate a good fit to many data sets for changes in colonization with time, there are cases that are not sigmoid and the logistic equation does not apply. For sigmoid curves, the lag in the development of colonization is directly related to both t _i and k but not to the plateau and not to the value of the maximum slope. Higher values of k or t _i reflect longer lag. When considered alone, t _i and k do not fully summarize the lag in colonization, and so a numerical method to combine them is presented here which allows lag to be compared between curves. In this method, the lag is evaluated by calculating the time during early colonization when the slope equals half of the value of the maximum slope. In summary, use of the logistic equation for regression of sigmoid curves of colonization with time allows numerical comparison between curves of the lag, the period of steep ascent, and the plateau. The logistic equation does not model directly the fundamental processes at work in the development of the mycorrhizae. Instead, it can be used as described here to gain insight into the colonization process by comparing the dynamics of that colonization for different species under various conditions. Accepted: 20 October 2000     

Glow discharge with electrostatic confinement of electrons in a chamber bombarded by fast electrons

A metal substrate is immersed in plasma of glow discharge with electrostatic confinement of electrons inside the vacuum chamber volume V ≈ 0.12 m³ filled with argon or nitrogen at pressures 0.005–5 Pa, and dependence of discharge characteristics on negative substrate potential is studied. Emitted by the substrate secondary electrons bombard the chamber walls and it results in electron emission growth of the chamber walls and rise of gas ionization intensity inside the chamber. Increase of voltage U between the chamber and the substrate up to 10 kV at a constant discharge current I _d in the anode circuit results in a manifold rise of current I in the substrate circuit and decrease of discharge voltage U _d between the anode and the chamber from hundreds to tens of volts. At pressure p < 0.05 Pa nonuniformity of plasma density does not exceed ∼10%. Using the Child-Langmuir law, as well as measurement results of sheath width d between homogeneous plasma and a lengthy flat substrate dependent on voltage U ion current density j _i on the substrate surface and ion-electron emission coefficient γ _i are calculated. After the current in circuit of a substrate made of the same material is measured, the γ _i values may be used to evaluate the average dose of ion implantation. The rate of dose rise at a constant high voltage U is by an order of magnitude higher than in known systems equipped with generators of square-wave high-voltage pulses. Application to the substrate of 10-ms-wide sinusoidal high-voltage pulses, which follow each other with 100-Hz frequency, results in synchronous oscillations of voltage U and ion current I _i in the substrate circuit. In this case variation of the sheath width d due to oscillations of U and Ii is insignificant and d does not exceed several centimeters thus enabling substrate treatment in a comparatively small vacuum chamber.     

Limiting similarity and the form of the competition coefficient

The question of whether there is a limit to the similarity of competing species has previously been investigated by a number of authors. These studies have all used the Lotka-Volterra model of competition, and have assumed that the competition coefficient α_ij may be calculated using the expression, α_ij = ∝ U_i(R) U_j(R) dR/∝ (U_i(R))² dR. In this paper, the generality of this formula is questioned and two alternative expressions for α_ij are proposed. When these expressions are used in an analysis of limiting similarity, qualitatively different conclusions emerge regarding the existence and nature of this limit, using either deterministic or stochastic models. The relevance of these findings to theories of character convergence and similarity barriers is discussed. The available field evidence does not strongly support the validity of the formula for α_ij used in previous studies. Since a given method of calculating α_ij must be derived from a higher level model, it is suggested that the Lotka-Volterra model is not sufficient in an investigation of limiting similarity.     

Kinetic study of the quenching reaction of singlet oxygen by α-, β-, γ-, δ-tocotrienols,and palm oil and soybean extracts in solution

Measurements of the singlet oxygen (¹O₂) quenching rates (k_Q (S)) and the relative singlet oxygen absorption capacity (SOAC) values were performed for 11 antioxidants (AOs) (eight vitamin E homologues (α-, β-, γ-, and δ-tocopherols and -tocotrienols (-Tocs and -Toc-3s)), two vitamin E metabolites (α- and γ-carboxyethyl-6-hydroxychroman), and trolox) in ethanol/chloroform/D₂O (50:50:1, v/v/v) and ethanol solutions at 35?°C. Similar measurements were performed for five palm oil extracts 1–5 and one soybean extract 6, which included different concentrations of Tocs, Toc-3s, and carotenoids. Furthermore, the concentrations (wt%) of Tocs, Toc-3s, and carotenoids included in extracts 1–6 were determined. From the results, it has been clarified that the ¹O₂-quenching rates (k_Q (S)) (that is, the relative SOAC value) obtained for extracts 1–6 may be explained as the sum of the product {Σ k_Q^AO-i (S) [AO-i]/100} of the rate constant (k_Q^AO-i (S)) and the concentration ([AO-i]/100) of AO-i (Tocs, Toc-3s, and carotenoid) included.     

Two Distinct P2 Purinergic Receptors, P2Y and P2U, Are Coupled to Phospholipase C in Mouse Pineal Gland Tumor Cells

Abstract: We found that extracellular ATP can increase the intracellular Ca²⁺ concentration ([Ca²⁺]_i) in mouse pineal gland tumor (PGT-β) cells. Studies of the [Ca²⁺]_i rise using nucleotides and ATP analogues established the following potency order: ATP, adenosine 5′-O-(3-thiotriphosphate) ≥ UTP > 2-chloro-ATP > 3′-O-(4-benzoyl)benzoyl ATP, GTP ≥ 2-methylthio ATP, adenosine 5′-O-(2-thiodiphosphate) (ADPβS) > CTP. AMP, adenosine, α,β-methyleneadenosine 5′-triphosphate, β,γ-methyleneadenosine 5′-triphosphate, and UMP had little or no effect on the [Ca²⁺]_i rise. Raising the extracellular Mg²⁺ concentration to 10 mM decreases the ATP-and UTP-induced [Ca²⁺]_i rise, because the responses depend on the ATP^4? and UTP^4? concentrations, respectively. The P_2U purinoceptor-selective agonist UTP and the P_2Y purinoceptor-selective agonist ADPβS induce inositol 1,4,5-trisphosphate generation in a concentration-dependent manner with maximal effective concentrations of ～100 µM. In sequential stimulation, UTP and ADPβS do not interfere with each other in raising the [Ca²⁺]_i. Costimulation with UTP and ADPβS results in additive inositol 1,4,5-trisphosphate generation to a similar extent as is achieved with ATP alone. Pretreatment with pertussis toxin inhibits the action of UTP and ATP by maximally 45–55%, whereas it has no effect on the ADPβS response. Treatment with 1 µM phorbol 12-myristate 13-acetate inhibits the ADPβS-induced [Ca²⁺]_i rise more effectively than the ATP- and UTP-induced responses. These results suggest that P_2U and P_2Y purinoceptors coexist on PGT-β cells and that both receptors are linked to phospholipase C.     

Inhibition of extracellular lipase from Streptomyces rimosus with 3,4-dichloroisocoumarin

Kinetic characterization of lipase inhibition was performed by activity measurement and mass spectrometry (MS), for the first time with serine-protease inhibitor 3,4-dichloroisocoumarin (DCI). Inhibition of Streptomyces rimosus extracellular lipase (SrLip), a member of the SGNH superfamily, by means of DCI follows the mechanism of two-step irreversible inhibition. The dissociation constant of the noncovalent E?I complex and first-order rate constant for inactivation were determined by incubation (K_i* = 26.6?±?2.8 µM, k₂ = 12.2?±?0.6 min–1) or progress curve (K_i* = 6.5?±?1.5 µM, k₂ = 0.11?±?0.01 min–1) method. Half-times of reactivation for lipase inhibited with 10-fold molar excess of DCI were determined by activity measurement (t_1/2 = 11.3?±?0.2?h), matrix-assisted laser desorption/ionization (MALDI, t_1/2 = 13.5?±?0.4?h), and electro-spray ionization (ESI, t_1/2 = 12.2?±?0.5?h) MS. The active SrLip concentration was determined by incubating the enzyme with near equimolar concentrations of DCI, followed by activity and MS measurement.     

Rate constants of acetylcholine receptor internalization and degradation in mouse muscles

The rate constants for internalization and subsequent extrusion of acetylcholine receptors (AChRs) during degradation in adult innervated and denervated mouse diaphragm muscles were determined using proteinase K (PK) digestion. This procedure separated ¹²⁵I-α-bungarotoxin (Bgt)-labeled AChRs into PK-sensitive and PK-resistant compartments. The time course of the residual radioactivity in these two compartments suggested that they represented surface membrane and internalized compartments, respectively. The data were compatible with a mathematical model based on the assumption that during degradation of AChRs a surface compartment, A, fed an internal compartment, B, with an internalization rate constant (k_i), and that B is drained from the cell with an extrusion rate constant (k_o). Using the mathematical model, we were able to determine that k_i and k_o were, respectively, 0.068 (t_1/2 ∼ 10.2 days) and 0.69–0.55 (t_1/2 ∼ 1.0– 1.25 days) for innervated muscle and were, respectively, 0.69 (t_1/2 ∼ 1.0 day) and 6.93 (t_1/2 ∼ 0.1day) for denervated muscle. Thus, the rate for internalization was about 8–10 times slower than that for extrusion from the cell for both the slowly degrading innervated (Rs) AChRs and for the rapidly degrading denervated (Rr) AChRs. This inequality betweeen k_i and k_o therefore allows the combined quantity of A(t) + B(t) , usually measured in AChR degradation studies, to approximate a single exponential. J. Cell. Physiol. 181:107–112, 1999. © 1999 Wiley-Liss, Inc.     

A Note on the Mann-Whitney Statistic for Lehmann Alternatives

For the case of the LEHMANN alternatives the paper presents some new facts on the MANN -WHITNEY statistic and, in particular, its variance V(p, m, n), where p = P(x_i<y_i). Explicit formulas for U and V are used to prove, among other things, the following propositions: For any m, n, V is a one-hump function of p, and the hump always lies in the interval (1/2(3 - √5), 1/2(√5 - 1)). If no restrictions are imposed on p the boundaries of this interval are sharp. Given s = m + n, V(1/2, s/2,s/2) is maximal among all values V(p, m, n). The formulas allow, moreover, the improvement of the known bounds for the variance of p? = U/mn.     

Kinetic analysis of the inhibition of sulfate transport in human red blood cells by isothiocyanates

Summary A kinetic analysis of anion self-exchange in human red blood cells, in the presence of an irreversible inhibitor, is presented and applied to the study of the inactivation of sulfate transport by three isothiocyanates: 3-isothiocyano-1,5-naphthalenedisulfonic acid, disodium salt (INDS), 1-isothiocyano-4-naphthalene sulfonic acid, sodium salt, monohydrate (INS), and 1-isothiocyano-4-benzenesulfonic acid, sodium salt, monohydrate (IBS). The time dependence of the inhibition of sulfate transport by the isothiocyanates used could be described by a single exponential and could be shown to contain a reversible and an irreversible component. In each case a portion of sulfate efflux was found to be resistant to inactivation. The residual portion of the sulfate efflux varied with inhibition: 4% for INS, 16% for INDS, and 34% for IBS. INS showed the largest reversible inhibitory effect (12% of the flux remaining at 0.2mm inhibitor concentration), while INDS showed the weakest effect (92% of the flux remaining at 0.3mm inhibitor concentration). IBS had the highest rate of inactivation while INDS had the lowest. The kinetic analysis further suggests that all three isothiocyanates bind reversibly to an inhibitory site on the membrane before they bind covalently, and therefore irreversibly, to the same site on the membrane. The equilibrium constant for the dissociation of the reversibly-bound complex,K _i, and the rate of irreversible inactivation after all membrane sites are reversibly bound,k _max, have been computed for all three inhibitors: INDS (K _i=420m,k _max=5.04 hr^–1), INS (K _i=148 m,k _max=6.48 hr^–1), and IBS (K _i=208 m,k _max=8.11 hr^–1).     

Influence of membrane structure on ion transport through lipid bilayer membranes

Summary Charge-pulse relaxation studies with the positively charged PV-K⁺ complex (cyclo-(d-Val-l-Pro-l-Val-d-Pro)₃) and the negatively charged lipophilic ion dipicrylamine (DPA^–) have been performed in order to study the influence of structural properties on ion transport through lipid bilayer membranes. First, the thickness of monoolein membranes was varied over a wide range using differentn-alkanes and slovent-free membranes. The thickness (d) of the hydrocarbon core of these membranes varied between 4.9 and 2.5 nm. For both transport systems the partition coefficient was found to be rather insensitive to variations ind. The same was valid for the translocation rate constantk _MS of PV-K⁺, whereas a strong increase of the translocation rate constantk _i of DPA-with decreasingd was observed. In a further set of experimental conditions the structure of the lipids, such as number and position of the double bonds in the hydrocarbon chain and its chain length as well as the nature of the polar head group, was varied. The translocation constantk _MS of PV-K⁺ transport was found to be much more sensitive to these variations thank _i of DPA-.Much larger variations ink _i andk _MS were observed in membranes made from lipids with ether instead of ester linkages between glycerol backbone and hydrocarbon chain. The results are in qualitative agreement with the surface potentials of monolayers made from corresponding lipids. Increasing amounts of cholesterol in membranes of dioleoylphosphatidylcholine caused a strong decrease ofk _MS (PV-K⁺), whereask _i was found to be rather insensitive to this variation.In monoolein membranes cholesterol causes a decrease ofk _MS up to sixfold and a increase ofk _i up to eightfold. The partition coefficient of DPA^– was insensitive to cholesterol, whereas of PV-K⁺ was found to decrease about eightfold in these membranes. The influence of cholesterol onk _MS is discussed on the basis of viscosity changes in the membrane and the change ink _i of DPA^– and of PV-K⁺ on the basis of a possible change of the dipole potential of the membranes. The other sterols, epicholesterol and ergosterol cause no change in the kinetics of the two probes.The different influence of membrane properties like thickness, viscosity, and dipole potential on the two transport systems is discussed under the assumption that the adsorption planes of the two probes have different positions in a membrane. Possibly because of a larger hydrophobic interaction, the adsorption plane of PV-K⁺ is located more towards the hydrocarbon side and that of DPA^– more towards the aqueous side of the dipole layer.