Global convergence properties in multilocus viability selection models: the additive model and the Hardy-Weinberg law

A natural coordinate system is introduced for the analysis of the global stability of the Hardy-Weinberg (HW) polymorphism under the general multilocus additive viability model. A global convergence criterion is developed and used to prove that the HW polymorphism is globally stable when each of the loci is diallelic, provided the loci are overdominant and the multilocus recombination is positive. As a corollary the multilocus Hardy-Weinberg law for neutral selection is derived.Research supported in part by NIH grants GM 39907-01, GM 10452-26 and NSF Grant DMS 86-06244Research supported in part by a US-Israel Binational Science Foundation grant 85-00021 and NIH grant GM 28016     

Analysis of a disease transmission model in a population with varying size

An S I R S epidemiological model with vital dynamics in a population of varying size is discussed. A complete global analysis is given which uses a new result to establish the nonexistence of periodic solutions. Results are discussed in terms of three explicit threshold parameters which respectively govern the increase of the total population, the existence and stability of an endemic proportion equilibrium and the growth of the infective population. These lead to two distinct concepts of disease eradication which involve the total number of infectives and their proportion in the population.Partially supported by NSF Grant No. DMS-8703631. This work was done while this author was visiting the University of VictoriaResearch supported in part by NSERC A-8965     

Protein stability and electrostatic interactions between solvent exposed charged side chains

To investigate the contribution to protein stability of electrostatic interactions between charged surface residues, we have studied the effect of substituting three negatively charged solvent exposed residues with their side-chain amide analogs in bovine calbindin D9k--a small (Mr 8,500) globular protein of the calmodulin superfamily. The free energy of urea-induced unfolding for the wild-type and seven mutant proteins has been measured. The mutant proteins have increased stability towards unfolding relative to the wild-type. The experimental results correlate reasonably well with theoretically calculated relative free energies of unfolding and show that electrostatic interactions between charges on the surface of a protein can have significant effects on protein stability.     

Karyological stability and microevolution of a cell suspension culture ofBrachycome dichromosomatica (Asteraceae)

A long-term suspension culture ofBrachycome dichromosomatica (2n = 4) was induced from a cotyledon-derived callus. Subcultures were obtained every week up to three years. The bulk of the cultures displayed a stable diploid karyotype, while one cell line evolved with 2n = 5 chromosomes in the 86th reinoculation. No further chromosomal change occurred also in that cell line. It is assumed that the fifth chromosome is the expression of a trisomy 2.The chromatin ultrastructure was of the species-specific chromomeric type in the wild-type line, while the trisomic line displayed more condensed chromatin, what probably indicates a rather inactive state of the extra-chromosome.Brachycome dichromosomatica is suggested to represent an ideal species to follow-up karyotype stability and/or variation in cell culture.As a former student W. N. dedicates this paper in gratitude and admiration to Prof. DrElisabeth Tschermak-Woess on the occasion of her 70th birthday. Prof.Woess with her scientific work has stimulated in an unique manner the study of nuclear structures in plants, of endopolyploidy and polytene chromosomes, and has thus established the basis for the rapidly increasing research in these fields.     

Silver ions inhibit the ethylene-stimulated production of ripening-related mRNAs in tomato

Abstract. Silver ions effectively inhibited both the initiation and the continuation of tomato ( Lyeopersicon esculentum Mill) ripening. Studies of protein synthesis in vivo showed that application of 2 mol m⁻³ silver thiosulphate to mature green fruit prevented the appearance of several novel proteins associated with ripening, including the softening enzyme polygalacturonase. However, total protein synthesis, as judged by the incorporation of [³⁵S] methionine into proteins, continued unabated after silver treatment. Ripening was also arrested when silver was supplied after ripening had begun. The accumulation of several ripening-related mRNAs, including that for polygalacturonase, was studied by translation in vitro and using cDNA clones as hybridization probes. Silver was shown to prevent the appearance of polygalaturonase mRNA when supplied to mature green fruit and to cause a rapid reduction in the concentration of mRNA for polygalacturonase and other ripening-related proteins when supplied after ripening had begun. It is proposed that silver exerts its effects due to interaction with the ethylene perception mechanism. The results suggest that perception of ethylene is vital not only for the initiation of ripening but also for the continued expression of genes required for ripening.     

A highly sensitive northern blot assay detects multiple proenkephalin a-like mRNAs in human caudate nucleus and pheochromocytoma

Total RNA from post mortem human caudate nucleus, cerebellum, cerebral cortex and pheochromocytoma tissues has been prepared. Northern blot analysis, using a single-stranded human proenkephalin A antisense probe (cRNA), revealed the existence of two different proenkephalin A-like sequences in the human caudate nucleus and pheochromocytoma RNA extracts of approximately 1400 and 1000 nucleotides in length respectively, whereas no specific RNA bands could be detected in the cortex and only the 1400 nucleotide band was present in the cerebellum. Under highly stringent hybridization conditions, the proenkephalin A-like RNA bands still appear, indicating that the detected RNA species have either identical or a closely related sequence to that of the wellcharacterized human proenkephalin A mRNA sequence.     

Electrical stability of erythrocytes in the presence of divalent cations

Erythrocytes suspended in a medium of low ionic strength lyse under the effect of an exponential electrical pulse. The percentage of haemolysed cells decreases several-fold in the presence of divalent cations. The protective action of the ions studied increases in the following order: Ca⁺⁺, Mg⁺⁺, Zn⁺⁺. It is assumed that divalent ions bind to the negative charges of the lipid and protein molecules and reduce their electrostatic repulsion, which results in stabilization of the membranes.     

Gene expression during CAM induction under salt stress in Mesembryanthemum: cDNA library and increased levels of mRNA for phosphoenolpyruvate carboxylase and pyruvate orthosphosphate dikinase

Mesembryanthemum crystallinum responds to high salinity in the soil by shifting the mode of carbon assimilation from the C3 mode to Crassulacean acid metabolism (CAM). Several enzymes of carbon metabolism have increased apparent activities in the CAM mode, including phosphoenolpyruvate carboxylase (PEPcase) and pyruvate orthophosphate dikinase (PPDK). We have identified cDNA clones for PEPcase and PPDK by immunological screening of a cDNA library constructed in the protein expression vector lambda gt11. The clones were characterized by immunoblotting and RNA blotting techniques. RNA blotting showed that during CAM induction the steady-state level of mRNAs for both PEP case and PPDK increased.Abbreviations IPTG isopropyl thiogalactoside - PEP phosphoenolpyruvate - PEPcase phosphoenolpyruvate carboxylase - PPDK pyruvate orthophosphate dikinase - Xgal-5 bromo-4-chloro-3-indolyl-beta-D-galactopyranoside     

The effects of guanine and cytosine variation on dinucleotide frequency and amino acid composition in the human genome

Summary One hundred twelve human DNA sequences were analyzed with respect to dinucleotide frequency and amino acid composition. The variation in guanine and cytosine (G+C) content revealed: (1) at 2–3 and 3-1 doublet positions CG discrimination is attenuated at high G+C, but TA disfavor is enhanced, and (2) several amino acids are subject to G+C change. These findings have been reported in part for collections of sequences from various species. The present study confirms that in a single organism-the human-the G+C effects do exist. Aspects of the argument that connects G+C with protein thermal stability are also discussed.