Score Tests for Exploring Complex Models: Application to HIV Dynamics Models

In biostatistics, more and more complex models are being developed. This is particularly the case in system biology. Fitting complex models can be very time‐consuming, since many models often have to be explored. Among the possibilities are the introduction of explanatory variables and the determination of random effects. The particularity of this use of the score test is that the null hypothesis is not itself very simple; typically, some random effects may be present under the null hypothesis. Moreover, the information matrix cannot be computed, but only an approximation based on the score. This article examines this situation with the specific example of HIV dynamics models. We examine the score test statistics for testing the effect of explanatory variables and the variance of random effect in this complex situation. We study type I errors and the statistical powers of this score test statistics and we apply the score test approach to a real data set of HIV‐infected patients.     

Chemical investigation of drug-like compounds from the Australian tree,Neolitsea dealbata

Two of the four parameters in the ‘rule of five’, molecular weight and log P, which can be detected and predicted by mass spectrometry and compound retention on reversed-phase HPLC, were used as guidelines in natural product isolation. A new aporphine alkaloid, (6aR)-normecambroline (1), was isolated from the bark of Neolitsea dealbata (R. Br.) Merr. Its structure was determined on the basis of NMR, MS and CD analysis. It is the first time the absolute configuration of the roemerine-N-oxide was assigned for both roemerine-N_α-oxide (3) and roemerine-N_β-oxide (4). Physico-chemical property evaluation demonstrated all alkaloids had no Lipinski violation. Compound 1 inhibited selectively against cervical cancer cells (HeLa) with an IC₅₀ of 4.0 μM.     

The folding of alpha-1-proteinase inhibitor: kinetic vs equilibrium control

Previous folding studies of alpha-1-proteinase inhibitor (alpha1-PI), which regulates the activity of the serine protease human neutrophil elastase, show an intermediate state at approximately 1.5 M guanidine-HCl (Gu). For the normal form of alpha1-PI, we demonstrate the reversible formation of the same stable distribution of monomeric and polymeric intermediates after approximately 1 h in 1.5 M Gu at approximately 23 degrees C from fully folded or fully unfolded alpha1-PI at similar final total concentrations and show that the stable distribution of monomeric and polymeric intermediates conforms with the law of mass action. We attribute these observations to an apparent equilibrium among intermediates. Our CD data are compatible with the intermediates having slightly relaxed structures relative to that of fully folded alpha1-PI and, thus, with the polymeric intermediates having a loop-sheet structure. Furthermore, we observe that the rates of folding (fast and slow terms) from the intermediate state are the same as those from the fully unfolded state, thereby supporting the contention that this intermediate state is on the folding pathway. We attribute the tendency of the Z mutant protein to polymerize/aggregate to an increased rate of the monomeric intermediate to form the apparent equilibrium distribution of intermediate species relative to its rate of folding to give intact alpha1-PI.     

Apolipoprotein A-II/A-I ratio is a key determinant in vivo of HDL concentration and formation of pre-beta HDL containing apolipoprotein A-II

Overexpression of human apolipoprotein A-II (apo A-II) in mice induced postprandial hypertriglyceridemia and marked reduction in plasma HDL concentration and particle size [Boisfer et al. (1999) J. Biol. Chem. 274, 11564-11572]. We presently compared lipoprotein metabolism in three transgenic lines displaying plasma concentrations of human apo A-II ranging from normal to 4 times higher, under ad libitum feeding and after an overnight fast. Fasting dramatically decreased VLDL and lowered circulating human apo A-II in transgenic mice; conversely, plasma HDL levels increased in all genotypes. The apo A-I content of HDL was inversely related to the expression of human apo A-II, probably reflecting displacement of apo A-I by an excess of apo A-II. Thus, the molar ratios of apo A-II/A-I in HDL were significantly higher in fed as compared with fasted animals of the same transgenic line, while endogenous LCAT activity concomitantly decreased. The number and size of HDL particles decreased in direct proportion to the level of human apo A-II expression. Apo A-II was abundantly present in all HDL particles, in contrast to apo A-I mainly present in large ones. Two novel findings were the presence of pre-beta migrating HDL transporting only human apo A-II in the higher-expressing mice and the increase of plasma HDL concentrations by fasting in control and transgenic mice. These findings highlight the reciprocal modifications of VLDL and HDL induced by the feeding-fasting transition and the key role of the molar ratio of apo A-II/A-I as a determinant of HDL particle metabolism and pre-beta HDL formation.     

Precultivation technique for studies of microorganisms exhibiting overflow metabolism

A precultivation technique for microorganisms exhibiting overflow metabolism is presented. It is based on a low initial medium volume in the fermenter. The medium feed contains all the nutrients, but is diluted with respect to sugar, the concentration of which determines the biomass concentration at the end of the preculture. By this method, effects of varying activity of the inocula from shake flask cultures are minimised and the metabolic state, i.e. oxido-reductive, oxidative growth on sugar plus overflow metabolite or oxidative growth on sugar alone, can be controlled at the start of the main fermentation.     

Updating the H-antigen classification of Bacillus thuringiensis

The classification of Bacillus thuringiensis strains has been revised and updated based on flagellar antigens which have been in use for many years. Sixty-nine serotypes and 13 sub-antigenic groups have now been identified, giving 82 serovars among the 3500 B. thuringiensis isolates of the IEBC Collection. The number of serovars has gradually increased with the total number of strains. The biochemical characters used have also been investigated and their value assessed for identification of B. thuringiensis at the subspecies level. A crystal analysis was carried out in terms of morphology, delta-endotoxin profiles and larvicidal activity for the newly identified serovars. It was found that atypical crystals, some with novel components, are becoming more common. No insect susceptible to these serovars has been discovered among known target species. The number of cross-reacting H-antigens among B. cereus strains is increasing and may be of biological significance.     

Differential inhibition of human immunodeficiency virus type 1 fusion, gp120 binding, and CC-chemokine activity by monoclonal antibodies to CCR5

The CC-chemokine receptor CCR5 mediates fusion and entry of the most commonly transmitted human immunodeficiency virus type 1 (HIV-1) strains. We have isolated six new anti-CCR5 murine monoclonal antibodies (MAbs), designated PA8, PA9, PA10, PA11, PA12, and PA14. A panel of CCR5 alanine point mutants was used to map the epitopes of these MAbs and the previously described MAb 2D7 to specific amino acid residues in the N terminus and/or second extracellular loop regions of CCR5. This structural information was correlated with the MAbs' abilities to inhibit (i) HIV-1 entry, (ii) HIV-1 envelope glycoprotein-mediated membrane fusion, (iii) gp120 binding to CCR5, and (iv) CC-chemokine activity. Surprisingly, there was no correlation between the ability of a MAb to inhibit HIV-1 fusion-entry and its ability to inhibit either the binding of a gp120-soluble CD4 complex to CCR5 or CC-chemokine activity. MAbs PA9 to PA12, whose epitopes include residues in the CCR5 N terminus, strongly inhibited gp120 binding but only moderately inhibited HIV-1 fusion and entry and had no effect on RANTES-induced calcium mobilization. MAbs PA14 and 2D7, the most potent inhibitors of HIV-1 entry and fusion, were less effective at inhibiting gp120 binding and were variably potent at inhibiting RANTES-induced signaling. With respect to inhibiting HIV-1 entry and fusion, PA12 but not PA14 was potently synergistic when used in combination with 2D7, RANTES, and CD4-immunoglobulin G2, which inhibits HIV-1 attachment. The data support a model wherein HIV-1 entry occurs in three stages: receptor (CD4) binding, coreceptor (CCR5) binding, and coreceptor-mediated membrane fusion. The antibodies described will be useful for further dissecting these events.     

Sequence-dependent conformational changes in DNA induced by polynuclear platinum complexes

In this work, the B-->Z transition of poly(dG-dC).poly(dG-dC) and the B-->A transition of poly(dG).poly(dC) and of calf thymus (CT) DNA fragments modified by antitumor bifunctional polynuclear platinum complexes were investigated by circular dichroism (CD). The transition from the B- to Z-form of DNA was inducible with all three compounds studied, as indicated by an inversion of the B-form spectra. The B-->A transition in poly(dG).poly(dC) was induced easily by platinum complex binding alone, while the B-->A transition in CT DNA was induced by ethanol but inhibited by coordination of all polynuclear platinum compounds used here. It was shown that the compound [?cis-PtCl(NH3)2?2 mu-?H2N(CH2)6NH2?] (NO3)2 (1,1/c,c) was most effective at inhibiting the B-->A transition in CT DNA, and [?trans-PtCl(NH3)2?2 mu-?trans-Pt(NH3)2(H2N(CH2)6NH2)2?] (NO3)4 (1,0,1/t,t,t) was least effective, while the effectiveness of [?trans-PtCl(NH3)2?2 mu-?H2N(CH2)6NH2?] (NO3)2 (1,1/t,t) fell between the two. This corresponded to the relative amounts of interstrand crosslinks in double-stranded DNA caused by each compound.