Effects of water activity on Vmax and KM of lipase catalyzed transesterification in organic media

Summary The V_max and K_M of various forms of lipase from Pseudomonas cepacia (powder, adsorbed onto Celite or covalently linked to polyethylene glycol) were determined in organic solvents preequilibrated to water activities (a _w) from <0.1 to 0.84. The model reaction was the transesterification between n-octanol and vinyl butyrate. It was found that K_M for the nucleophile increased with increasing a _w for all three lipase forms. V_max increased with increasing a _w for polyethylene glycol-lipase, whereas there was an optimum at intermediate a _w values (0.11 – 0.38) for lipase powder and Celite-immobilized lipase.     

Preparation and <Emphasis Type="Italic">In Vitro</Emphasis>/<Emphasis Type="Italic">In Vivo</Emphasis> Evaluation of Microparticle Formulations Containing Meloxicam

In this study, we have formulated chitosan-coated sodium alginate microparticles containing meloxicam (MLX) and aimed to investigate the correlation between in vitro release and in vivo absorbed percentages of meloxicam. The microparticle formulations were prepared by orifice ionic gelation method with two different sodium alginate concentrations, as 1% and 2% (w/v), in order to provide different release rates. Additionally, an oral solution containing 15 mg of meloxicam was administered as the reference solution for evaluation of in vitro/in vivo correlation (ivivc). Following in vitro characterization, plasma levels of MLX and pharmacokinetic parameters [elimination half-life (t _1/2), maximum plasma concentration (C _max), time for C _max (t _max)] after oral administration to New Zealand rabbits were determined. Area under plasma concentration–time curve (AUC_0–∞) was calculated by using trapezoidal method. A linear regression was investigated between released% (in vitro) and absorbed% (in vivo) with a model-independent deconvolution approach. As a result, increase in sodium alginate content lengthened in vitro release time and in vivo t _max value. In addition, for ivivc, linear regression equations with r ² values of 0.8563 and 0.9402 were obtained for microparticles containing 1% and 2% (w/v) sodium alginate, respectively. Lower prediction error for 2% sodium alginate formulations (7.419 ± 4.068) compared to 1% sodium alginate formulations (9.458 ± 5.106) indicated a more precise ivivc for 2% sodium alginate formulation.     

Growth kinetics of top and bottom cultures of Saccharomyces spp. in a chemostat using sugarbeet molasses

Growth kinetics were evaluated for three yeast strains of the genus Saccharomyces. Two topfloating strains, SF 115 and SF 116 and one flocculant yeast SF 104 were analyzed in pure and mixed cultures in 1-liter continuous fermentation experiments in a chemostat. Growth was monitored for 72 h at 30°C in a medium containing sugarbeet molasses and 1.0 g/liter each of NH₄H₂PO₄ and urea. SF 115 and SF 116 were found to have lower μ_max values of 0.290 and 0.296 h^?1, respectively, than SF 104, which had a μ_max of 0.364 h^?1. The two top-floating yeasts (SF 115 and SF 116) demonstrated greater affinity for the substrate and utilized substrates at a greater rate. They have K₈ values of 4.03 × 10^?3 M and 3.798 × 10^?3 M, respectively, compared to 9.06 × 10^?3 M for SF 104. A mixed culture of SF 116 and SF and SF 104 was found to have a μ_max of 0.426 h^?1 with a K_s of 6.924 × 10^?3 M. SF 115 grown in mixed culture with SF 104 exhibited a μ_max of 0.473 h^?1 with a K_s of 7.975 × 10^?3 M. In both cases, the SF 104 was the dominant microbe in mixed culture systems.     

Rat Liver Catechol-O-Methyltransferase Kinetics and Assay Methodology

Abstract

In mammals, catechol-O-methyltransferase (COMT) is distributed throughout various organs, the highest activities being found in the liver and kidney. However, comparisons of the kinetic parameters are difficult to perform, since the experimental procedures in the enzyme assay vary quite considerably. The present work was aimed at studying the optimal liver COMT assay conditions for determining the kinetics of the enzyme. The COMT assay was performed with liver homogenates from 60 days old male Wistar rats with adrenaline (AD) as the substrate. Time course experiments using 100 μM S-adenosyl-L-methionine (SAMe) and 300 μM AD showed linearity of O-methylation reaction upto 10min. Using 100μM SAMe, V_max (nmol mg protein' h^?1) and K_m (μM) values progressively decreased respectively from 22.1 and 104.8 at 5mindown to 5.8 and 24.62 at 60 min incubation periods. This decrease was not due to end-product inhibition. Using 2500 μM AD, K_m values (μM) for the methyl donor SAMe increased progressively from 174 at 5 min upto 1192.5 at 60 min; upto 30 min of incubation F_max values did not change. When a 5 min incubation period and 500 μM SAMe were used, V_max and K_m values for liver COMT were 63.4 nmol mg protein^?1h^?1 and 261.1 μM, respectively. It is concluded that an incubation period of 5 min and a SAMe concentration of 500 μM provide optimal conditions for the liver homogenate COMT assay.     

KINETICS OF SILICON-LIMITED GROWTH IN THE MARINE DIATOM THALASSIOSIRA PSEUDONANA HASLE AND HEIMDAL (=CYCLOTELLA NANA HUSTEDT)1,2

The half-saturation constant ( K ₈) for growth and the maximum growth rate (μ_max) were determined for 2 clones of Thalassiosira pseudonana (=Cyclotella nana) under conditions in which external silicon concentrations controlled growth. The estuarine clone (3H) had a higher half-saturation constant and maximum growth rate ( K ₈= 0.98 μM Si; μ_max= 3.6 divisions/day) than the clone from the Sargasso Sea ( K ₈= 0.19 μM Si; μ_max= 2.1 divisions/day). The K ₈ values for each clone are such that the silicate levels found at certain times in both the Sargasso Sea and the coastal regions are rate limiting to growth, hence can be of significance to plant production and to species succession. The yield data are consistent with the concept that growth rate and cellular silicon content vary together in silicon-limited cultures.     

Die Bedeutung des Erhaltungsstoffwechsels und der „maximalen”︁ Ausbeute

This paper examines the microbial denitrification of a medium containing acetate as C-source and of an industrial effluent containing volatile fatty acids as main components a ndphenolics as minor components. Values for m and Y_max are represented. It has been concluded that the maintenance coefficient comprises also those processes not involved in the maintenance metabolism of the cells. The least fraction of the rate of substrate utilization of this extended maintenance metabolism has been expressed by m · 100/q_max. From the values of Y_max a P/2e-ratio < 1 and the equation of cell synthesis have been evaluated.     

KINETICS OF SILICON-LIMITED GROWTH IN THE FRESHWATER DIATOM ASTERIONELLA FORMOSA1,2

Growth rates of two clones of the freshwater planktonic diatom Asterionella formosa Hass. were measured under conditions in which external silicon concentrations controlled growth. Clone AfOH2 from Lake Ohrid, Yugoslavia, had a higher maximum growth rate (μ_max= 1.11 doublings/day) and apparent half-saturation constant (K_si] + Si_o= 1.93 μM Si) than clone L262 from Lake Windermere, England. (μ_max= 0.61 doublings/day; K_si+ Si_o= 1.09 μM Si). K_lim, the silicon concentration at μ= 0.9 μ_max, is 13.8 μM Si for clone AfOH2 and 6.5 μM Si for clone L262. These values agree well with published field observations showing A. formosa populations decreasing below 0.5 mg/l SiO₂ (= 8.4 μM Si). Calculations of yield gave a range of 0.5–1.5 μM Si/10⁶ cells for clone AfOH2 and 0.6–1.9 μM Si/10⁶ cells for clone L262.     

A study of the substrate specificity of aminopeptidase N from Lactococcus lactis subsp. cremoris Wg2

A systematic study was made of the ability of aminopeptidase N from Lactococcus lactis subsp. cremoris Wg2 to hydrolyse different peptide substrates. The enzyme showed a marked preference for substrates containing arginine as the N-terminal residue but, to a lesser extent, was also capable of cleaving other residues such as lysine and leucine. There was a tendency for the activity to increase with the hydrophobicity index of the C-terminal residue of dipeptide substrates. It was also observed that the enzyme tended to have higher affinities but lower V _max values for tripeptides with hydrophobic C-terminal residues. The values determined for K _m and V _max increased with chain length for oligopeptides of the general formula Lys-Phe-(Gly) _n , the optimum, as determined from V _max/K _m, being when n = 4. Typical K _m values for the most effective substrates were in the range 0.2–0.6 mM.     

Practical application of flavonoid-poor menu meals to the study of the bioavailability of bilberry anthocyanins in human subjects

Practical application of flavonoid-poor menus was evaluated on the bioavailability of anthocyanins as model flavonoids. Detectable amounts of flavonoids were not found in plasma and urine collected from 13 participants, who took the menus. After ingesting bilberry anthocyanins (919 μmol), average plasma AUC_0-6h, C_max, T_max values and urinary recovery were 386.0 nmol h/mL, 139.1 nM, 1.31 h and 0.21%, respectively.     

Biophysical Response to Pulsed Laser Microbeam‐Induced Cell Lysis and Molecular Delivery

Cell lysis and molecular delivery in confluent monolayers of PtK₂ cells are achieved by the delivery of 6 ns, λ = 532 nm laser pulses via a 40×, 0.8 NA microscope objective. With increasing distance from the point of laser focus we find regions of (a) immediate cell lysis; (b) necrotic cells that detach during the fluorescence assays; (c) permeabilized cells sufficient to facilitate the uptake of small (3 kDa) FITC‐conjugated Dextran molecules in viable cells; and (d) unaffected, viable cells. The spatial extent of cell lysis, cell detachment, and molecular delivery increased with laser pulse energy. Hydrodynamic analysis from time‐resolved imaging studies reveal that the maximum wall shear stress associated with the pulsed laser microbeam‐induced cavitation bubble expansion governs the location and spatial extent of each of these regions independent of laser pulse energy. Specifically, cells exposed to maximum wall shear stresses τ_{w, max} > 190 ± 20 kPa are immediately lysed while cells exposed to τ_{w, max} > 18 ± 2 kPa are necrotic and subsequently detach. Cells exposed to τ_{w, max} in the range 8–18 kPa are viable and successfully optoporated with 3 kDa Dextran molecules. Cells exposed to τ_{w, max} < 8 ± 1 kPa remain viable without molecular delivery. These findings provide the first direct correlation between pulsed laser microbeam‐induced shear stresses and subsequent cellular outcome. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

PHOTOSYNTHESIS AND RESPIRATION OF THE CONCHOCELIS STAGE OF ALASKAN PORPHYRA (BANGIALES,RHODOPHYTA) SPECIES IN RESPONSE TO ENVIRONMENTAL VARIABLES1

Photosynthesis and respiration of three Alaskan Porphyra species, P. abbottiae V. Krishnam., P. pseudolinearis Ueda species complex (identified as P. “pseudolinearis” below), and P. torta V. Krishnam., were investigated under a range of environmental parameters. Photosynthesis versus irradiance (P–I) curves revealed that maximal photosynthesis (P_max), irradiance at maximal photosynthesis (I_max), and compensation irradiance (I_c) varied with salinity, temperature, and species. The P_max of Porphyra abbottiae conchocelis varied between 83 and 240 μmol O₂ · g dwt^?1 · h^?1 (where dwt indicates dry weight) at 30–140 μmol photons · m^?2 · s^?1 (I_max) depending on temperature. Higher irradiances resulted in photoinhibition. Maximal photosynthesis of the conchocelis of P. abbottiae occurred at 11°C, 60 μmol photons · m^?2·s^?1, and 30 psu (practical salinity units). The conchocelis of P. “pseudolinearis” and P. torta had similar P_max values but higher I_max values than those of P. abbottiae. The P_max of P. “pseudolinearis” conchocelis was 200–240 μmol O₂ · g dwt^?1 · h^?1 and for P. torta was 90–240 μmol O₂ · g dwt^?1 · h^?1. Maximal photosynthesis for P. “pseudolinearis” occurred at 7°C and 250 μmol photons · m^?2 · s^?1 at 30 psu, but P_max did not change much with temperature. Maximal photosynthesis for P. torta occurred at 15°C, 200 μmol photons · m^?2 · s^?1, and 30 psu. Photosynthesis rates for all species declined at salinities <25 or >35 psu. Estimated compensation irradiances (I_c) were relatively low (3–5 μmol · photons · m^?2 · s^?1) for intertidal macrophytes. Porphyra conchocelis had lower respiration rates at 7°C than at 11°C or 15°C. All three species exhibited minimal respiration rates at salinities between 25 and 35 psu.     

Dependence of Lipase Activity on Water Content and Enzyme Concentration in Reverse Micelles

The activity of Candida rugosa lipase (EC 3.1.1.3) in reverse micelles has been measured at various concentrations of water and enzyme with the aim of answering the question, why is the enzyme activity affected by the molar ratio of water to surfactant (w₀ = [H₂O]/[Surfactant])? In the low range of water content (below w₀ ≈ 6), the activity increases with increasing water content, indicating the requirement of a minimum amount of water for the full expression of enzymatic activity. The minimal w₀-value for obtaining maximal activity depends on the enzyme concentration: The higher the enzyme concentration, the higher w_{0, max}. In addition, it was found that, at least for the case of Candida rugosa lipase, the measured dependence of enzyme activity on w₀ does not represent a true chemical equilibrium. Changing the w₀-value during the reaction does not change the activity as expected on the basis of the w₀-activity profile obtained for single w₀ point measurements. All these observations, however, cannot be directly generalized to all enzymes in reverse micelles, due to the peculiarity of lipase. In particular, the enzyme seems to inactivate irreversibly during the solubilization process.     

A coupled model of stomatal conductance and photosynthesis for winter wheat

The model couples stomatal conductance (g _s) and net photosynthetic rate (P _N) describing not only part of the curve up to and including saturation irradiance (I _max), but also the range above the saturation irradiance. Maximum stomatal conductance (g _smax) and I _max can be calculated by the coupled model. For winter wheat (Triticum aestivum) the fitted results showed that maximum P _N (P _max) at 600 μmol mol⁻¹ was more than at 350 μmol mol⁻¹ under the same leaf temperature, which can not be explained by the stomatal closure at high CO₂ concentration because g _smax at 600 μmol mol⁻¹ was less than at 350 μmol mol⁻¹. The irradiance-response curves for winter wheat had similar tendency, e.g. at 25 °C and 350 μmol mol⁻¹ both P _N and g _s almost synchronously reached the maximum values at about 1 600 μmol m⁻² s⁻¹. At 25 °C and 600 μmol mol⁻¹ the I _max corresponding to P _max and g _smax was 2 080 and 1 575 μmol m⁻² s⁻¹, respectively.     

Effect of temperature and water activity on spore germination and mycelial growth of three fungal biocontrol agents against water hyacinth (Eichhornia crassipes)

Aims: To determine the effect of water activity (a_w = 0·880–0·960) and temperature (15–35°C) on the percentage of viable conidia and mycelial growth of three biocontrol agents effective against water hyacinth in Mali: Alternaria sp. isolate Mlb684, Fusarium sacchari isolate Mln799 and Cadophora malorum isolate Mln715. Methods and Results: The fungi were grown in vitro on plates containing potato dextrose agar medium at different a_w values (glycerol being added to adjust the a_w). The percentage of viable conidia and radial growth rate decreased with decreasing water activity. Statistical analysis showed a significant effect of a_w, temperature and the a_w × temperature interaction on mycelial growth (P < 0·0001). Water activity emerged as the factor exerting the greatest influence. Differences were observed between the fungi tested, the C. malorum appearing more tolerant to low a_w and the F. sacchari more tolerant to high temperature (35°C). Growth models predicting the combined effect of a_w and temperature were developed and response surfaces generated, showing fairly good agreement with the experimental values. Conclusions: Our results confirm the previous finding that a_w has a greater influence than temperature on fungal growth. Under most conditions, variation of environmental factors has a detrimental influence on the percentage of viable conidia and mycelial growth rate of fungal isolates. Significance and Impact of the Study: The developed models may contribute to predicting the best environmental conditions for use of these fungi as effective biocontrol agents against water hyacinth.     

Preparation and Evaluation of Orally Disintegrating Tablets Containing Taste-Masked Microcapsules of Berberine Hydrochloride

The purpose of this study was to prepare and evaluate a taste-masked berberine hydrochloride orally disintegrating tablet for enhanced patient compliance. Taste masking was performed by coating berberine hydrochloride with Eudragit E100 using a fluidized bed. It was found that microcapsules with a drug–polymer ratio of 1:0.8 masked the bitter taste obviously. The microcapsules were formulated to orally disintegrating tablets and the optimized tablets containing 6% (w/w) crospovidone XL and 15% (w/w) microcrystalline cellulose showed the fastest disintegration, within 25.5 s, and had a pleasant taste. The dissolution profiles revealed that the taste-masked orally disintegrating tablets released the drug faster than commercial tablets in the first 10 min. However, their dissolution profiles were very similar after 10 min. The prepared taste-masked tablets remained stable after 6 months of storage. The pharmacokinetics of the taste-masked and commercial tablets was evaluated in rabbits. The C_max, T_max, and AUC₀₋₂₄ values were not significantly different from each other, suggesting that the taste-masked orally disintegrating tablets are bioequivalent to commercial tablets in rabbits. These tablets will enhance patient compliance by masking taste and improve patients’ quality of life.KEY WORDS: berberine hydrochloride, microcapsule, orally disintegrating tablet, taste masking     

A COMPARATIVE STUDY ON THE SYNTHESIS OF THE NATRIURETIC HORMONE DOPAMINE IN OK AND LLC-PK1CELLS

TheV_maxvalues (in nmol/mg protein/15 min) for AAAD in OK cells (0.94±0.08) were found to be significantly (P<0.01) lower than those observed in LLC-PK₁cells (4.37±0.08). However, in both cell lines decarboxylation reaction was a saturable process with similarK_mvalues (OK cells=1.1 mm (0.3, 1.8); LLC-PK₁cells=1.8 mm (1.6, 2.1)). Contrariwise to OK cells, decarboxylation ofl -DOPA to dopamine in LLC-PK₁cells followed a linear (7.6±0.1 pmol/mg protein/min) non-saturable kinetics till 120 min of incubation. The formation of dopamine from increasing concentrations ofl -DOPA (10 to 500 μm ) followed a non-linear kinetics in both cell lines; the process ofl -DOPA decarboxylation was saturated at low concentrations ofl -DOPA with an apparentK_mvalue of 11 μm (0.2, 22.6) in OK cells and 27.4 μm (11.1, 43.7) in LLC-PK₁cells. The formation of dopamine in LLC-PK₁cells (V_max=2097±113 pmol/mg protein/6 min) was 13.7-fold that occurred in OK cells (V_max=153±10 pmol/mg protein/6 min). In conclusion, LLC-PK₁cells appear to be endowed with a greater ability to form dopamine from exogenousl -DOPA when compared to OK cells.     

REGIONAL AND SUBCELLULAR DISTRIBUTION AND KINETIC PROPERTIES OF RAT BRAIN CHOLINE ACETYLTRANSFERASE–SOME FUNCTIONAL CONSIDERATIONS

The kinetic properties of soluble and membrane-bound choline acetyltransferase (ChAc) were determined as a function of homogenization media and solubilization procedure in various regions of rat brain. Treatment of homogenate and/or subcellular fractions with KCl, Triton X-100, or ether dramatically altered the apparent V_max and the degree of solubilization of the enzyme, but no fraction exhibited K_m values substantially different from 12 μM for acetyl-CoA and 200 μM for choline. On the other hand, increasing the ionic strength of the assay medium for a given fraction from 0-02 M to 0-5 M increased both V_max and K_m values for both substrates. The absolute levels and subcellular distribution of ChAc were determined in 11 brain regions to localize cholinergic cell bodies and nerve endings. Levels of ChAc varied from 139 m-units/g tissue in caudate-putamen to 5-7 m-units/g tissue in cerebellum. The fraction of ChAc activity associated with synaptosomes varied from near 75 per cent in caudate-putamen, hippocampus and cortical regions to near 20 per cent in septum, locus coeruleus area and substantia nigra area. The apparent parallel distribution of cholinergic and catecholaminergic nerve endings is discussed in terms of a hypothetical model for the pathophysiology and treatment of Parkinson's syndrome.     

The role of an active transport mechanism in glycerol accumulation during osmoregulation by Zygosaccharomyces rouxii

Summary At water activities (a _w) of 0.998 (no osmoticum) and 0.960 a _w(NaCl), the affinity (K _m) of glycerol transport by Zygosaccharomyces rouxii was 25.6 and 6.4 mmol/l respectively. The maximum uptake rate (V _max) was ca. 2.3 mol/g/min at both a _w's. However, at an a _wof 0.960 using polyethylene glycol (PEG) 400 the K _mand V _max for glycerol transport increased to 61.1 mmol/l and 32.2 mol/g per minute respectively. This suggests that different glycerol transport mechanisms operate during stress by the two osmotica. The addition of uncouplers (2,4-dinitrophenol or carbonylcyanide-m-chlorophenylhydrazine) resulted in the outflow of accumulated [^14C]glycerol from Z. rouxii after on osmotic upshock indicating that an active transport mechanism was operative. The transport mechanism was specific for glycerol since other polyols (mannitol, meso-erythritol and arabitol) had no effect on the uptake rate. During upshock from 0.998 to 0.960 a _w(NaCl), a transient increases in the rate of [¹⁴C]glycerol uptake was observed. However, if PEG 400 was used as osmoticum, the rate of glycerol uptake failed to increase.Offprint requests to: P. J. van Zyl     

Electric‐induced mortality of newly transformed juvenile fishes in waters of different conductivity

In three experiments, each with three species of newly transformed juvenile fishes, the immediate mortality was determined after electrical exposure to 60 Hz pulsed DC in waters of different conductivity (C_w). With a constant applied power density (D_a; 1·0–4·9 mW cm^?3 depending on species) over a range of C_w(10–1020 μS cm^?1), the results predicted that the highest fish mortality would occur at C_w of 65 μS cm^?1 for bluegill Lepomis macrochirus, 74 μS cm^?1 for largemouth bass Micropterus salmoides and at 140–175 μS cm^?1 for channel catfish Ictalurus punctatus. In experiment 2, the voltage gradient (E) was maintained constant (2·5–8·0 peak V cm^?1 depending on species) over the same range of C_w, and fish mortality increased with current density (J) or D_a, which are directly related to C_w. In experiment 3, fish mortality did not differ when peak E(3 or 8 V cm^?1 depending on species) and mean J(0·09 or 0·24 mA cm^?2 depending on species) were held constant by changing pulse width in waters with different C_w(99, 165 or 495 μS cm^?1). Fish mortality in this experiment was not significantly related to peak or mean transferred power density, and the ‘power transfer theory for electrofishing’ was not useful for predicting electrofishing mortality. Overall, the results of the present study indicated that mortality caused by exposure to electricity can be predicted more accurately with the variables peak E and mean J than with models requiring determination of effective conductivity of the fish.     

Interaction of salicylate and ibuprofen with the carboxylic acid: CoA ligases from bovine liver mitochondria

Neither salicylate nor ibuprofen was a substrate or inhibitor of the long-chain fatty acid: CoA ligase. In contrast, all three xenobiotic-metabolizing medium-chain fatty acid:CoA ligases (XL-I, XL-II, and XL-III) had activity toward salicylate. The K_m value for salicylate was similar for all three forms (2 to 3 μM), but XL-II and XL-III had higher activity at V_max. For ibuprofen, only XL-III catalyzed its activation, and it had a K_m for ibuprofen of 36 μM. Studies of salicylate inhibition of XL-I, XL-II, and XL-III revealed that it inhibited the benzoate activity of all three forms with K₁ values of ca. 2 μM, which is in agreement with the K_m values obtained with salicylate as substrate. Kinetic analysis revealed that salicylate conjugation by all three forms is characterized by substrate inhibition when salicylate exceeds ca. 20 μM. Substrate inhibition was more extensive with XL-I and XL-III. Previous work on the ligases employed assay concentrations of salicylate in the range of 0.1 to 1.0 mM, which are clearly inhibitory, particularly toward XL-I and XL-III. Thus, activity was not properly measured in previous studies, which accounts for the fact that salicylate conjugation was only found with one form, which is most likely XL-II since it has the highest V_max activity and shows the least amount of substrate inhibition. Studies with ibuprofen indicated that it inhibited XL-I, XL-II, and XL-III, with K₁ values being in the range of 75–125 μM. The short-chain ligase was inhibited by both salicylate and ibuprofen with K₁ values of 93 and 84 μM, respectively. It was concluded that pharmacological doses of salicylate, but not ibuprofen, will affect the metabolism of medium-chain fatty acids and carboxylic acid xenobiotics and that the previously described mitochondrial ibuprofen:CoA ligase activity is attributable to XL-III. © 1996 John Wiley & Sons, Inc.