The dynamical attainability of ESS in evolutionary games

In this paper, the attainability of ESS of the evolutionary game among n players under the frequency-independent selection is studied by means of a mathematical model describing the dynamical development and a concept of stability (strongly determined stability). It is assumed that natural selection and small mutations cause the phenotype to change gradually in the direction of fitness increasing. It is shown that (1) the ESS solution is not always evolutionarily attainable in the evolutionary dynamics, (2) in the game where the interaction between two species is completely competitive, the Nash solution is always attainable, and (3) one of two species may attain the state of minimum fitness as a result of evolution. The attainability of ESS is also examined in two game models on the sex ratio of wasps and aphids in light of our criterion of the attainability of ESS.     

Spontaneous amplification of yeast CEN ARS plasmids

Summary Transformation of Saccharomyces cerevisiae with several yeast CEN4 ARS1 plasmids containing the his3-4 allele (as well as the URA3 and TRP1 markers) yielded His⁺ transformants at 0.1%–50% the frequency of Ura⁺ Trp⁺ transformants. Additional His⁺ derivatives arose on continuous growth of transformants originally scored as His^- Ura⁺ Trp⁺. In all cases, the His⁺ phenotype was not due to plasmid or host mutations but invariably correlated with an up to 12-fold increase in plasmid copy number. On removal of selective pressure, the His⁺ phenotype was lost more readily than the Ura⁺ Trp⁺ markers, with a corresponding decrease in plasmid copy number. Also, the amplification did not decrease the mitotic loss rate of the Ura⁺ Trp⁺ markers. These results indicate that CEN ARS plasmids can be spontaneously amplified to higher levels than previously observed. However, when amplified, apparently not all copies exhibit the characteristic stability of CEN ARS plasmids.     

Locations and stability of Agrobacterium-mediated T-DNA insertions in the Lycopersicon genome

Summary The genomic distribution and genetic behavior of DNA sequences introduced into the tomato genome by Agrobacterium tumefaciens were investigated in the backcross progeny of 10 transformed Lycopersicon esculentum x L. pennellii hybrids. All transformants were found to represent single locus insertions based on the co-segregation of restriction fragments corresponding to the T-DNA left and right border sequences in the backcross progeny. Isozyme and restriction fragment length polymorphism (RFLP) markers were used to test linkage relationships of the insertion in each backcross family. The T-DNA inserts in 9 of the 10 transformants were mapped in relation to one or more of these markers, and each mapped to a different chromosomal location. Because only one insertion did not show linkage with the markers employed, it must be located somewhere other than the genomic regions covered by the markers assayed. We conclude that Agrobacterium-mediated insertion in the Lycopersicon genome appears to be random at the chromosomal level. No discrepancies were found between the T-DNA genotype and the nopaline phenotype in the 322 backcross progeny of the nopaline positive transformants. Backcross progeny of two nopaline negative transformants showed incomplete correspondence between the T-DNA genotype and the kanamycin resistance phenotype. No alteration of T-DNA was observed in progeny showing a discrepancy between T-DNA and kanamycin resistance. However, two kanamycin resistant progeny plants of one of these two transformants possessed altered T-DNA restriction patterns, indicating genetic instability of the T-DNA in this transformant.Journal article no. 1223 of the New Mexico Agricultural Experiment Station     

Molecular aspects of the bilayer stabilization induced by poly(l-lysines) of varying size in cardiolipin liposomes

The interaction between poly(l-lysines) of varying size with cardiolipin was investigated via binding assays, X-ray diffraction, freeze-fracture electron microscopy, and ³¹P- and ¹³C-NMR. Binding of polylysines to the lipid only occurred when three or more lysine residues were present per molecule. The strength of the binding was highly dependent on the polymerization degree, suggesting a cooperative interaction of the lysines within the polymer. Upon binding, a structural reorganization of the lipids takes place, resulting in a closely packed multilamellar system in which the polylysines are sandwiched in between subsequent bilayers. Acyl chain motion is reduced in these liquid-crystalline peptide-lipid complexes. From competition experiments with Ca²⁺ it could be concluded that when the affinity of the polylysine for cardiolipin was much larger than that of Ca²⁺, a lamellar polylysine-lipid complex was formed, irrespective of whether an excess of Ca²⁺ was added prior to or after the polypeptide. When the affinity of the polylysine for cardiolipin was less or of the same order as that of Ca²⁺, the lipid was organized in the hexagonal H_II phase in the presence of Ca²⁺. These results are discussed in the light of the peptide specificity of bilayer (de)stabilization in cardiolipin model membranes.     

Large scale selection of aluminum-resistant mutants from plant cell culture: expression and inheritance in seedlings

Summary A large number of aluminum-resistant variants, selected from non-mutagenized homozygous diploid cell cultures of Nicotiana plumbaginifolia Viv., are characterized. Of 115 variants cloned and reselected from single cells, 67 retained Al resistance in callus cultures after 6–9 months of growth in the absence of Al. There was no association between Al resistance and callus growth in the absence of Al, suggesting that the Al-resistant phenotype is not detrimental in the absence of Al challenge and that Al resistance is not the result of increased vigor. Plants regenerated from initially resistant callus lines that subsequently lost their resistance failed, with one exception, to transmit resistance to their seedling progeny. Fertile plants were regenerated from 40 of the 67 variants that retained stable Al resistance in callus culture. All 40 transmitted Al resistance to their seedling progeny (selfed and backcrossed) in segregation ratios expected for a single dominant mutation. The selfed progeny of many variants also segregated for recessive lethal mutations which were attributed to independent mutations that occurred during cell culture.     

Purification and regulation of glutamine synthetase in a collagenolytic Vibrio alginolyticus strain

Glutamine synthetase (EC 6.3.1.2) has been purified from a collagenolytic Vibrio alginolyticus strain. The apparent molecular weight of the glutamine synthetase subunit was approximately 62,000. This indicates a particle weight for the undissociated enzyme of 744,000, assuming the enzyme is the typical dodecamer. The glutamine synthetase enzyme had a sedimentation coefficient of 25.9 S and seems to be regulated by a denylylation and deadenylylation. The pH profiles assayed by the -glutamyltransferase method were similar for NH₄-shocked and unshocked cell extracts and isoactivity point was not obtained from these eurves. The optimum pH for purified and crude cell extracts was 7.9. Cell-free glutamine synthetase was inhibited by some amino acids and AMP. The transferase activity of glutamine synthetase from mid-exponential phase cells varied greatly depending on the sources of nitrogen or carbon in the growth medium. Glutamine synthetase level was regulated by nitrogen catabolite repression by (NH₄)₂SO₄ and glutamine, but cells grown, in the presence of proline, leucine, isoleucine, tryptophan, histidine, glutamic acid, glycine and arginine had enhanced levels of transferase activity. Glutamine synthetase was not subject to glucose, sucrose, fructose, glycerol or maltose catabolite repression and these sugars had the opposite effect and markedly enhanced glutamine synthetase activity.Abbreviations GS glutamine synthetase - SMM succinate minimal medium - ASMM ammonium/succinate minimal medium - GT -glutamyl transferase - SVP snake venom phosphodiesterase     

The inhibition of acetate oxidation by ethanol in Acetobacter aceti

Ethanol grown Acetobacter aceti differed from acetate grown. In ethanol grown cells, acetate uptake, caused by the oxidation of acetate, was completely inhibited by ethanol, in acetate grown cells only to 20%. This was correlated with a 65-fold higher specific activity of the membrane bound NAD(P)-independent alcohol dehydrogenase in ethanol grown than in acetate grown cells. In comparison with ethanol grown cells, acetate grown cells showed a 3-fold higher acetate respiration rate and 3-fold higher specific activities of some tricarboxylic acid cycle enzymes tested. Both adaptations were due to induction by the homologous and not to repression by the heterologous growth substrate. A. aceti showed a membrane bound NAD(P)-independent malate dehydrogenase and no activity of a soluble NAD(P)-dependent one, as was known before from A. xylinum. A hypothesis was proposed explaining the observed inhibition of malate dehydrogenase and of functioning of the tricarboxylic acid cycle in the presence of ethanol or butanol or glucose by a competition of two electron currents for a common link in the convergent electron transport chains. The electrons coming from the quinoproteins, alcohol dehydrogenase and glucose dehydrogenase on the one side and those coming from the flavoproteins, malate dehydrogenase and succinate dehydrogenase via ubiquinonecytochrome c reductase on the other side are meeting at cytochrome c. Here the quinoproteins may be favoured by higher affinity and so inhibit the flavoproteins. Inhibition could be alleviated in the cell free system by increasing the oxygen supply.Dedicated to Professor Carl Martius on the occasion of his 80th birthday, March 1st 1986     

Immobilization of pig muscle 3-phosphoglycerate kinase

3-Phosphoglycerate kinase (ATP:3-phospho-d-glycerate 1-phosphotransferase, EC 2.7.2.3) has been covalently immobilized on a polyacrylamide-type support containing carboxylic groups activated by water-soluble carbodiimide. The activity was 88 units g^?1 xerogel. The activity versus pH profile showed a sharper maximum at pH 6.5 in the case of the immobilized enzyme. The immobilized enzyme had a broad apparent optimum temperature range between 40 and 50°C. The apparent K_m values of the immobilized 3-phosphoglycerate kinase were lower for both 3-phosphoglycerate and ATP than those of the soluble enzyme. In the case of the immobilized enzyme stabilities were enhanced.     

Improvement of inulinase stability of calcium alginate immobilized Kluyveromyces marxianus cells by treatment with hardening agents

To improve the inulinase (2,1-β-d-fructan fructanohydrolase, EC 3.2.1.7) stability of calcium alginate-immobilized Kluyveromyces marxianus cells, treatment with hardening agents has been investigated. Treatment of immobilized cells with some polycationic polymers resulted in little decrease in volumetric reactor productivity, but was most effective in increasing the inulinase stability of the immobilized cells. Inulinase stability of glutaraldehyde-hardened immobilized cells increased two-fold, and for hexamethylenediamine + glutaraldehyde and polyethyleneimine + glutaraldehyde-hardened cells increased six-fold compared with that of the unhardened cells.     

A model of a myelinated nerve axon: threshold behaviour and propagation

A model of a myelinated nerve axon is developed on the basis of FitzHugh-Nagumo dynamics under the assumption that the nodes of Ranvier are of small but finite width. It is shown that a periodic excited state may not exist if the width of the nodes is too small and the leakage across the myelin sheath is too great. The propagation of a super threshold pulse is prevented in the absence of nodes. Global stability of the resting equilibrium state is investigated as well as the propagation of wave front, type solutions.