Mathematical analysis of delay differential equation models of HIV-1 infection

Models of HIV-1 infection that include intracellular delays are more accurate representations of the biology and change the estimated values of kinetic parameters when compared to models without delays. We develop and analyze a set of models that include intracellular delays, combination antiretroviral therapy, and the dynamics of both infected and uninfected T cells. We show that when the drug efficacy is less than perfect the estimated value of the loss rate of productively infected T cells, delta, is increased when data is fit with delay models compared to the values estimated with a non-delay model. We provide a mathematical justification for this increased value of delta. We also provide some general results on the stability of non-linear delay differential equation infection models.     

Large differences in erythrocyte stability between species reflect different antioxidative defense mechanisms

We have developed a screening assay for erythrocyte stability, which is rapid, easy, inexpensive, robust, and suitable for handling a large number of samples in parallel. Erythrocytes are incubated overnight in 96-well microtiter plates in absence or presence of various oxidants, intact cells are pelleted by centrifugation, and lysis is determined by release of intracellular constituents into the supernatant as either activity of lactate dehydrogenase (LDH) or absorbance of hemoglobin at 406 nm. There is good correlation between the methods. A number of advantages by the present method are that only small amounts of blood is needed, washing is optional, erythrocytes may be stored for at least one day before assay, and large numbers of samples can be handled in parallel. Using this set-up, we have compared erythrocyte stability from several different animal species. We find that erythrocyte susceptibility towards lysis induced by H₂O₂ and 2,2'-azobis (2-amidinopropane) dihydrochloride (AAPH) is highly species dependent. The different susceptibility between species is due to cellular components, since swapping of plasma between species has little or no effect. As a novel observation, we find that erythrocytes from chicken are the most sensitive of the species tested towards lysis by H₂O₂ and are almost four orders of magnitude more sensitive than erythrocytes from man. This is due to a much lower content of catalase in erythrocytes from chicken. A more narrow range is observed for susceptibility towards AAPH and the ranking between the species is different. Thus, chicken erythrocytes are more resistant towards AAPH than some mammals by up to two orders of magnitude. This differential stability towards different oxidative stressors is likely due to evolution/selection of different defense mechanisms.     

Particulate methane monooxygenase from Methylosinus trichosporium is a copper-containing enzyme

Particulate methane monooxygenase (pMMO) has been exfoliated and isolated from membranes of the Methylosinus trichosporium IMV 3011. It appears that the stability of pMMO in the exfoliation process is increased with increasing copper concentration in the growth medium, but extensive intracytoplasmic membrane formed under higher copper concentration may inhibit the exfoliation of active pMMO from membrane. The highest total activity of purified pMMO is obtained with an initial concentration of 6 microM Cu in the growth medium. The purified MMO contains only copper and does not utilize NADH as electron donor. Treatment of purified pMMO with EDTA resulted in little change in copper level, suggesting that the copper in the pMMO is tightly bound with pMMO.     

Effects of polyhydroxy compounds on the structure and activity of alpha-chymotrypsin

The effects of glycerol, polyethylene glycol, fructose, glucose, sorbitol, and saccharose on the conformation and catalytic activity of alpha-chymotrypsin were studied in 0.1 M sodium phosphate buffer and buffered aqueous 60% ethanol (pH 8.0). The enzyme activity was practically completely lost within 10 min in 60% ethanol, but in the presence of stabilizers the activity was retained. With the exception of polyethylene glycol, the stabilizing effect decreased with increase of the incubation time. The preservation of the catalytic activity was accompanied by changes in the secondary and tertiary structures of alpha-chymotrypsin.     

Stability analysis of the partial selfing selection model

We undertake a detailed study of the one-locus two-allele partial selfing selection model. We show that a polymorphic equilibrium can exist only in the cases of overdominance and underdominance and only for a certain range of selfing rates. Furthermore, when it exists, we show that the polymorphic equilibrium is unique. The local stability of the polymorphic equilibrium is investigated and exact analytical conditions are presented. We also carry out an analysis of local stability of the fixation states and then conclude that only overdominance can maintain polymorphism in the population. When the linear local analysis is inconclusive, a quadratic analysis is performed. For some sets of selective values, we demonstrate global convergence. Finally, we compare and discuss results under the partial selfing model and the random mating model.     

Improved production and function of llama heavy chain antibody fragments by molecular evolution

The aim of this study was to improve production level of llama heavy chain antibody fragments (V_HH) in Saccharomyces cerevisiae while retaining functional characteristics. For this purpose, the DNA shuffling technique was used on llama V_HH fragments specific for the azo-dye reactive red-6. In the DNA shuffling process, three parental llama V_HH with high amino acid sequence identity with significant differences in production and functional characteristics were used. From these parental sequences, a S. cerevisiae library was created and 16 antigen specific shuffled V_HH fragments were selected. We found that these shuffled V_HH fragments were, (i) unique in sequence; (ii) composed of two or three parental sequences; (iii) in three V_HHs point mutations occurred; and (iv) antigen specificity was not changed. The four highest producers in the yeast S. cerevisiae were selected and production, affinity, and antigen binding at 90°C were compared with parental V_HHs. One shuffled V_HH was enhanced both in production (3.4-fold) and affinity (four-fold). A second shuffled V_HH displayed increased production (1.9-fold), and improved stability (2.4-fold) in antigen binding at 90°C. Structural analysis suggested that improved antigen binding is associated with the A24→V24 substitution, which reduces the size of the hydrophobic pit at the llama V_HH surface. We demonstrate that it is possible to improve desired characteristics of the same V_HH fragment simultaneously using DNA shuffling. Finally, this is one of the first examples of DNA shuffling improving temperature stability of an antibody fragment.     

冻干低pH静注丙球质量稳定性观察

对１４批静注丙球保留样品进行３年效期内稳定性观察结果表明：出厂后３年内制品的物理检查和热稳定性试验均合格,ｐＨ值没有变化,ＩｇＧ分子仍以单体形式存在,抗补体活性（ＡＣＡ）和ＰＫＡ含量未见升高,白喉抗毒素效价未见下降。表明我所大规模生产的静注丙球质量是稳定可靠的     

Validated spectrofluorimetric and spectrophotometric methods for the determination of brimonidine tartrate in ophthalmic solutions via derivatization with NBD‐Cl. Application to stability study

Two simple, selective and accurate methods were developed and validated for the determination of brimonidine tartrate (BT) in pure state and pharmaceutical formulations. Both methods are based on the coupling of the drug with 4‐chloro‐7‐nitro‐2,1,3‐benzoxadiazole in borate buffer (pH 8.5) at 70 °C and measurement of the reaction product spectrophotometrically at 407 nm (method I) or spectrofluorimetrically at 528 nm upon excitation at 460 nm (method II). The calibration graphs were rectilinear over the concentration ranges of 1.0–16.0 and 0.1–4.0 µg/mL with lower detection limits of 0.21 and 0.03, and lower quantification limits of 0.65 and 0.09 µg/mL for methods I and II, respectively. Both methods were successfully applied to the analysis of commercial ophthalmic solution with mean recovery of 99.50 ± 1.00 and 100.13 ± 0.71%, respectively. Statistical analysis of the results obtained by the proposed methods revealed good agreement with those obtained using a comparison method. The proposed spectrofluorimetric method was extended to a stability study of BT under different ICH‐outlined conditions such as alkaline, acidic, oxidative and photolytic degradation. Furthermore, the kinetics of oxidative degradation of the drug was investigated and the apparent first‐order reaction rate constants, half‐life times and Arrhenius equation were estimated. The proposed methods are practical and valuable for routine applications in quality control laboratories for the analysis of BT. Copyright © 2014 John Wiley & Sons, Ltd.     

Structural,functional and chemical changes in Pseudozyma antarctica lipase B on exposure to hydrogen peroxide

The effect on primary, secondary, tertiary and quaternary structure of Pseudozyma (formerly Candida) antarctica lipase B (PalB) on exposure to hydrogen peroxide was investigated using nano-electrospray ionization-mass spectrometry (nano-ESI-MS), liquid chromatography tandem mass spectrometry (LC/MS/MS), circular dichroism (CD), and dynamic light scattering (DLS). Treatment with hydrogen peroxide generated heavier protein variants, with a mass gain that increased with increasing incubation time. Furthermore, elevated concentration of H₂O₂ was shown to result in partial fragmentation of the protein. Proteolytic digestion of the enzyme gave primary sequence coverage of more than 90%, revealing oxidation of methionine, tryptophan and cystine residues. The active site histidine was not observed in oxidized form in any of the experiments. However, oxidation of cystine to cysteic acid indicated disruption of disulphide bridges, and CD evaluations confirmed that severe changes to the secondary structure towards random coil had occurred. The structural changes could be an effect of the observed amino acid side chain oxidations, and was correlated with deactivation of the lipase. From DLS experiments, it was seen that the lipase exposed to both high temperature and H₂O₂ formed large and intermediate sized aggregates, not observed for the heat-treated enzyme. The findings reported here could lay the basis for developing enzyme variants with higher oxidative stability.     

A liquid chromatography-tandem mass spectrometric method for quantification of curcuminoids in cell medium and mouse plasma

Curcumin and tetrahydrocurcumin (THC) have been found as potent DNMT1 inhibitors, but they suffer from low oral bioavailability and rapid metabolism in vivo. To circumvent these problems, two curcumin analogs: 1,7-bis(3,4-dimethoxyphenyl)-4,4-dimethyl-1,6-heptadiene-3,5-dione (TMC) and 1,7-bis(3,4-dimethoxyphenyl)-4-cyclohexyl-1,6-heptadiene-3,5-dione (DMCHC) have been synthesized to enhance their stability by blocking the two metabolic sites, the phenolic and C4 methylene moieties. Both compounds have shown inhibitory activity on M. SssI similar to that of curcumin and THC (Poster, M1114, AAPS, 2009). Preclinical pharmacokinetics has yet to be performed. In this paper, a simple liquid chromatography-tandem mass spectrometric method was developed for the determination of these four curcuminoids in cell medium and mouse plasma. The method showed linearity from 1 to 1000 ng/mL with the lower limit of quantification of 1 ng/mL in cell medium, and 5 ng/mL in mouse plasma for all test curcuminoids. The within-day coefficients of variation were found to be below 15% and the accuracy was in the range of 85-115%. This method was subsequently used to evaluate their stability in these matrices and a pilot pharmacokinetics of curcumin, DMCHC and TMC in mice after an intraperitoneal (i.p.) cassette dosing of 10mg/kg each. Curcuminoids degraded in two phases with terminal half lives of 186, 813, 724, and 2000 min for curcumin, THC, TMC, and DMCHC, respectively, in cell culture medium. In plasma, their respective half lives were 111, 232, 1202 and 3000 min. These data demonstrated that their stability is in the order curcumin相似文献