Theoretical studies on the necessary number of components in mixtures

Summary Theoretical studies on the optimal numbers of components in mixtures (for example multiclonal varieties or mixtures of lines) have been performed according to phenotypic yield stability (measured by the parameter variance). For each component i, i = 1, 2,..., n, a parameter u_i with 0 u_i 1 has been introduced reflecting the different survival and yielding ability of the components. For the stochastic analysis the mean of each u_i is denoted by u ₁ and its variance by _i ² For the character total yield the phenotypic variance V can be explicitly expressed dependent on 1) the number n of components in the mixture, 2) the mean of the _i ² 3) the variance of the _i ² 4) the ratio and 5) the ratio _i ² /² where denotes the mean of the u _i and _u ² is the variance of the u _j. According to the dependence of the phenotypic stability on these factors some conclusions can be easily derived from this V-formula. Furthermore, two different approaches for a calculation of necessary or optimal numbers of components using the phenotypic variance V are discussed: A. Determination of optimal numbers in the sense that a continued increase of the number of components brings about no further significant effect according to stability. B. A reduction of b % of the number of components but nevertheless an unchanged stability can be realized by an increase of the mean of the u _i by 1% (with and _u ² assumed to be unchanged). Numerical results on n (from A) and 1 (from B) are given. Computing the coefficient of variation v for the character total yield and solving for the number n of components one obtains an explicit expression for n dependent on v and the factors 2.-5. mentioned above. In the special case of equal variances, _i ² = _o ² for each i, the number n depends on v, x = (₀/)² and y = (_u/)². Detailed numerical results for n = n (v, x, y) are given. For x 1 and y 1 one obtains n = 9, 20 and 79 for v = 0.30, 0.20 and 0.10, respectively while for x 1 and arbitrary y-values the results are n = 11, 24 and 95.This publication is an extended version of a lecture given at the 1984-EUCARPIA meeting (Section Biometrics in Plant Breeding) in Stuttgart-Hohenheim (Federal Republic of Germany)     

Application of H(N)CA,CO-E.COSY experiments for calibrating the φ angular dependences of vicinal couplings J(C′i−1,Hi α), J(C′i−1,Ci β) and J(C′i−1,C′i) in proteins

A triple-resonance NMR technique suitable for the determination ofcarbonyl-related couplings in polypeptide systems is introduced. Theapplication of three novel pulse sequences to uniformly¹³C/¹⁵N-enriched proteins yields E.COSY-likemultiplet patterns exhibiting either one of the³J(C_i–1,H_i ), ³J(C_i–1,C_i ) and³J(C_i–1,C_i)coupling constants in the indirectly detected ¹³Cdimension, depending on the passive spin selected. The experiments aredemonstrated with oxidized flavodoxin from Desulfovibrio vulgaris. On thebasis of the J-values measured and the backbone -angles derived from ahigh-resolution X-ray structure of the protein, the three associated Karplusequations were reparametrized. The root-mean-square differences between theexperimental coupling constants and those predicted by the optimized Karpluscurves are 0.41, 0.33 and 0.32 Hz for³J(C_i–1,H_i ),³J(C_i–1,C_i ) and³J(C_i–1,C_i),respectively. The results are compared with the Karplus parameters previouslypublished for the same couplings.     

Genotypic interactions in an aphid-host plant relationship: Uroleucon rudbeckiae and Rudbeckia laciniata

Summary Four clones of the aphid Uroleucon rudbeckiae were grown on four clones of the host plant Rudbeckia laciniata. Age-specific fecundities were used to determine the fitness, F _i , of each individual aphid. The analysis of variance for F _i revealed that (1) plant genotype has a significant effect on aphid fitness; (2) there is an interaction between aphid and host plant genotypes with respect to aphid fitness; and (3) aphid fitness is affected by phenotypic differences among individual host plants. Result (2) supports the hypothesis that genotypic interactions between aphid and host may maintain genetic diversity in aphid populations. The results of a preference test, while not significant at customary probability levels, suggested that aphids will choose to feed on plants which confer greater fitness.     

Binding of [3H]muscimol to calf cerebrocortical synaptic membranes and the effects of sulphur-containing convulsant and non-convulsant compounds

Endogenous and xenobiotic sulphur-containing convulsant and non-convulsant compounds containing structural moieties of, or bearing a structural resemblance to, GABA and homocysteine were tested in binding studies for their potency in displacing the GABA-mimetic [³H]muscimol from specific, high-affinity sites (K _d=3.6 nM;B _max=3.94 pmol/mg protein) on freeze-thawed, Triton-treated calf-brain synaptic membranes. The xenobiotic convulsants, 4-mercaptobutyric acid (MBA), 3-mercaptopropionic acid (3-MPA) and 2-mercaptopropionic acid (2-MPA) were found to be two-site competitive inhibitors exhibiting apparent inhibition affinity constants (K _i ^app ) of 5000 M, 3750 M, and 4800 M, respectively; while homocysteic acid (K _i ^app =4800 M) was shown to be a one-site partial competitive inhibitor. Intermediary metabolites of methionine: S-adenosyl-l-homocysteine,l-cysteine, the convulsantl-homocysteine, and its non-convulsant disulphide oxidation product, homocystine, were found to be one-site partial competitive inhibitors exhibitingK _i ^app values of 5750 M, 8350 M, 5000 M, and 510 M, respectively. The endogenous anticonvulsant neuroeffector, taurine, and the tripeptide, reduced glutathione (GSH) were shown to be, respectively, one-site (K _i=20 M) and two-site (K _i ^app =4300 M) competitive inhibitors of [³H]muscimol binding. These findings are discussed with regard to a previously proposed mechanism for the convulsant action of homocysteine.     

Role of mitochondria in ethanol tolerance of Saccharomyces cerevisiae

The presence of active mitochondria and oxidative metabolism is shown to be essential to maintain low inhibition levels by ethanol of the growth rate (), fermentation rate (v) or respiration rate () of Saccharomyces cerevisiae wild type strain S288C. Cells which have respiratory metabolism show K _i (ethanol inhibition constant) values for , v and , higher (K _i>1 M) than those of petite mutants or grande strains grown in anaerobiosis (K _i=0.7 M). In addition, the relationship between or v and ethanol concentration is linear in cells with respiratory metabolism and exponential in cells lacking respiration. When functional mitochondria are transferred to petite mutants, the resulting strain shows K _i values similar to those of the grande strain and the inhibition of and v by increasing ethanol concentrations becomes linear.     

Relative positions of homologous chromosomes or groups in male and female metaphase figures

Summary This study investigates statistically, with computer assistance, the square distances between chromosome centromeres in homologous pairs or groups after circularizing transformation. By the method described here, it is possible to eleminate all subjective measurments and just use the coordinates x _i and y _i of the centromeres. The values obtained for homologous chromosomes are shown to be specific but not always small. Low square distance values occur in greater number for the chromosomes that are most frequently involved in aneuploïdies. This is true for acrocentric chromosomes which, moreover, tend to lie close together significantly more often in female than in male mitoses; it is also true for group 17–18 especially in males, and of XX in female mitoses. Furthermore, we find significantly low square distances in chromosome pair 1.     

Structure granaire,réduction du NADP et photophosphorylation des chloroplastes isolés de feuilles d'orge

Summary Barley chloroplasts (Hordeum vulgare L.) have been isolated in aqueous medium by previously described techniques which preserve the outer plastid membrane in numerous chloroplasts. Thus intact chloroplasts are concentrated in Class I fraction and non intact in Class II fraction. A third type, broken Class I, is obtained by the action of a very dilute buffer solution.The observation of freeze-etched preparations has shown that the main distinctive character between the two classes is not so much the presence or the absence of the outer plastid membrane, as it was assumed, as the state of the thylakoids. In Class I chloroplasts grana are shrunken, in those of Class II, grana are swollen. In both cases the outer membrane may or may not be preserved.The breakage of chloroplasts resulting from treatment with osmotic shocks is due to the dilatation of the extra-lamellar matrix. The swelling of intra-thylakoidal volumes resulting from such a treatment is much less important.It is shown that Class I chloroplasts have a very low NADP reductase activity which is strongly increased after the chloroplasts are broken by osmotic shocks. Such a treatment is without any effect on Class II chloroplasts, which always exhibit a low NADP reductase activity.The situation is rather different in regard to photophosphorylation. It is also lower in Class II than in Class I, but after breakage by osmotic shocks the increase of this activity is weak, and much less significant than the increase observed in NADP reduction. The compression and cohesion of the thylakoids is not required for high photophosphorylation activity with artificial electron acceptors such as PMS. In this case cyclic photophosphorylation is higher in Class II than in Class I.

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Abbreviations ADP, ATP adénosine di et triphosphate - EDTA éthylène diamine trétaacétate - NAD, NADP, NADPH₂ nicotinamide adénine dinucléotide, d° phosphate (formes oxydée et réduite) - PMS phénazine méthosulfate - Pi phosphate inorganique     

Protocol-dependence of equivalent circuit parameters of toad urinary bladder

Summary Determinations of current-voltage relationships are widely employed in the characterization of epithelial sodium transport. In order to determine the protocol dependence of transport parameters in the toad urinary bladder, studies were carried out in the presence and absence of amiloride, an inhibitor of active sodium transport. With symmetric positive and negative perturbations of the transepithelial electrical potential difference (0±100 mV) for 30 sec, the amiloride-sensitive current-voltage (i ^a -) relationship was near linear over the range –75+100 mV, indicating constancy of the conductance ^a and the apparent electromotive force E _Na, lumped parameters of the standard electrical equivalent circuit model of the active transport system. With a reverse protocol (±1000 mV) or 15 min perturbations thei ^a - relationships were highly nonlinear. Nonlinearity reflected voltage dependence of parameters: perturbations that increased active transport decreased E _Na and increased ^a, as evaluated from 10 sec perturbations of ; slowing of active transport produced the converse changes. These effects are usefully analyzed in both quasi-steady states and true steady states by means of a detailed equivalent circuit incorporating the significant ionic currents across each plasma membrane. Precise understanding of the significance of ^a and E _Na will require characterization of the partial ionic conductances on perturbation of .     

Notes on the Mechanism of ATP Synthesis

The most commonly quoted mechanism of the coupling between the electrochemical proton gradient and the formation of ATP from ADP and P_i assumes that all states of the F₁ portion of the ATP synthase have subunits in tight, loose, and open conformations. Models based on this assumption are inconsistent with some of the available experimental evidence. A mechanism that includes an additional subunit conformation, closed, observed in the rat liver structure overcomes these difficulties.     

Recent developments on structural and functional aspects of the F1 sector of H+-linked ATPases

Summary This review concerns the catalytic sector of F₁ factor of the H⁺-dependent ATPases in mitochondria (MF₁), bacteria (BF₁) and chloroplasts (CF₁). The three types of Ft have many similarities with respect to the structural parameters, subunit composition and catalytic mechanism. An ₃₃₂₂₂ stoichiometry is now accepted for MF₁ and BF₁; the ₂₂₂₂₂ stoichiometry for CFI remains as matter of debate. The major subunits , and are equivalent in MF₁, BF₁ and CF₁; this is not the case for the minor subunits and . The subunit of MFI corresponds to the subunit of BF₁ and CF₁, whereas the mitochondria) subunit equivalent to the subunit of BF₁ and CF₁ is probably the oligomycin sensitivity conferring protein (OSCP). The a assembly is endowed with ATPase activity, being considered as the catalytic subunit and y as a proton gate. On the other hand, the 6 and E subunits of BFI and CFI most probably act as links between the F₁ and F₀ sectors of the ATPase complex. The natural mitochondria) ATPase inhibitor, which is a separate protein loosely attached to MF₁, could have its counterpart in the E subunit of BF₁ and CF₁. The generally accepted view that the catalytic subunit in the different F₁ species is comes from a number of approaches, including chemical modification, specific photolabeling and, in the case of BF₁, use of mutants. The a subunit also plays a central role in catalysis, since structural alteration of a by chemical modification or mutation results in loss of activity of the whole molecule of F₁. The notion that the proton motive force generated by respiration is required for conformational changes of the F₁ sector of the H⁺-ATPase complex has gained acceptance. During the course of ATP synthesis, conversion of bound ADP and P_i into bound ATP probably requires little energy input; only the release of the F₁-bound ATP would consume energy. ADP and P_i most likely bind at one catalytic site of F₁, while ATP is released at another site. This mechanism, which underlines the alternating cooperativity of subunits in F₁, is supported by kinetic data and also by the demonstration of partial site reactivity in inactivation experiments performed with selective chemical modifiers. One obvious advantage of the alternating site mechanism is that the released ATP cannot bind to its original site. The chemistry of the condensation reaction of ADP and P_i to form ATP has not yet been elucidated. Although implicitly admitted, definite evidence that the condensation reaction does not involve a phosphorylated intermediate has been acquired recently by analysis of the stereochemical course of the phosphoric residue transfer in ATP synthesis or hydrolysis. Whereas the catalytic events of ATP synthesis are well understood, the regulatory mechanism, and particularly the role of the so-called inhibitory peptides, remain enigmatic.     

Physical mechanisms by which low-frequency magnetic fields can affect the distribution of counterions on cylindrical biological cell surfaces

Effects of dc and low-frequency ac magnetic fields on the motion and distribution of counterions on surfaces of cylindrical biological cells are examined. Magnetic fields along the cell axis as well as perpendicular to it are considered. When a dc magnetic field of any physically realizable magnitude is parallel to the cell axis it has no effect on ion motion, since the resulting Lorentz force is much smaller than the counterion-to-ion attractive force. However a dc magnetic field perpendicular to the cell surface will distort any preexisting ion motion and the resulting current (i) perpendicular to the original motion will be much larger than any current induced by a low-frequency ac magnetic field of the same magnitude as the dc field and parallel to it. Nevertheless i will still be much smaller than the current i_o constituting the original ion motion since (i/i_o)=/, where is the ion cyclotron frequency and the effective counterion collision frequency. With no preexisting coherent ion motion (i_o=0) the circulating current induced by a sinusoidally time-varying magnetic field parallel to the cell axis will be well below thermal fluctuation noise as long as only a single cell is considered; however when even an infinitesimal exchange of ions between adjacent cells is assumed the magnetic field will cause a redistribution of counterions on the cell surface. The resulting steady-state distribution becomes independent of the frequency of the applied magnetic field () when , where is 1/2 of the relaxation frequency for counterion diffusion. On the basis of these results it is suggested that whenever modification of cell behavior in response to application of a low-frequency magnetic field is established, measurements of dielectric permittivity versus frequency of the cell preparation be performed. Redistribution of counterions on the cell surface would be a likely cause if the noted effect becomes independent of the frequency of the applied magnetic field above the counterion dielectric relaxation frequency. It is also suggested that in magnetic field exposure of cell preparations the size of the sample (e.g. diameter of Petri dish) and direction of the magnetic field relative to average cell orientation can critically affect experimental results.     

Studies on the deconvolution of flash-induced absorption changes into the difference spectra of individual redox steps within the water-oxidizing enzyme system

The possibility to determine the difference spectra _i+1j of each univalent redox step S_iS_i+1(i=0,...3) of the water-oxidizing enzyme system was analyzed by theoretical calculations and by measurements of 320 nm absorption changes induced by a train of saturating laser flashes (FWHM:7 ns) in PS II membrane fragments. It was found: a) Lipophilic quinones complicate the experimental determination of optical changes due the S_i-state transitions because they lead to an additional binary oscillation probably caused by a reductant-induced oxidation of the Fe²⁺ at the PS II acceptor side. b) In principle, a proper separation can be achieved at sufficiently high K₃[Fe(CN)₆] concentrations. c) An unequivocal deconvolution into the difference spectra _i+1j of flash train-induced optical changes which are exclusively due to S_i-state transitions is impossible unless the Kok parameters , and [S_i]₀ can be determined by an independent method.Measurements of the oxygen yield induced by a flash train reveals, that in thylakoids and PS II membrane fragments S_i is the stable state of dark adapted samples even at alkaline pH (up to pH=9). However, in PS II membrane fragments at pH>7.7 the misses probability markedly increases, in contrast to the properties of intact thylakoids. Based on these data the possibility is discussed that an equilibrium exists of two types of S₂-states with different properties.Abbreviations DCIP 2,6-dichlorophenolindophenol - DPC 1,5-diphenylcarbazide - Q_A.Q_B primary and secondary plastoquinone of PS II - Ph-p-BQ phenyl-p-benzoquinone - PS II photosystem II - S₁ redox state of the catalytic site of water oxidation - Z redox component connecting P680 with the catalytic site of water oxidation Presented at the Japan/US Binational Seminar on Solar Energy Conversion: Photochemical Reaction Centers and Oxygen Evolving Complexes of Plant Photosynthesis, Okazaki, Japan, March 17–21, 1987.     

Genetic evaluation with autosomal and X-chromosomal inheritance

Summary At present, genetic evaluation in livestock using best linear unbiased prediction (BLUP) assumes autosomal inheritance. There is evidence, however, of X-chromosomal inheritance for some traits of economic importance. BLUP can accommodate models that include X-chromosomal in addition to autosomal inheritance. To obtain BLUP with autosomal and X-chromosomal additive inheritance for a population in which allelic frequency is equal in the sexes, and that is in gametic equilibrium, we write y _i = x_i + a_i + s_i + e_i, where y _i is the phenotypic value for individual i, x_i, is a vector of constants relating y _i to fixed effects, is a vector of fixed effects, a _i is the additive genetic effect for autosomal loci, S _i is the additive genetic effect for X-chromosomal loci, and e _i is random error. The covariance matrix of a _i's is A _A ² , where A is the matrix of twice the co-ancestries between relatives for autosomal loci, and _A ² is the variance of additive genetic effects for autosomal loci. The covariance matrix of s _i's is S _F ² , where S is a matrix of functions of co-ancestries between relatives for X-chromosomal loci and _F ² is the variance of additive genetic effects for X-chromosomal loci for noninbred females. Given the covariance matrices of random effects a _i, s_i, and e _i, BLUPs of autosomal and of X-chromosomal additive effects can be obtained using mixed model equations. Recursive rules to construct S and an efficient algorithm to compute its inverse are given.Dedicated to the memory of Dr. C. R. Henderson, whose encouraging comments stimulated the research in this paper. Supported in part by the Illinois Agricultural Experiment Station, Hatch Project 35-0367, Estimation of Genetic Parameters.     

Photosynthetic formation of inorganic pyrophosphate in phototrophic bacteria

In this paper we report studies on photosynthetic formation of inorganic pyrophosphate (PP_i) in three phototrophic bacteria. Formation of PP_i was found in chromatophores from Rhodopseudomonas viridis but not in chromatophores from Rhodopseudomonas blastica and Rhodobacter capsulatus. The maximal rate of PP_i synthesis in Rps. viridis was 0.15 mol PP_i formed/(min*mol Bacteriochlorophyll) at 23°C. The synthesis of PP_i was inhibited by electron transport inhibitors, uncouplers and fluoride, but was insensitive to oligomycin and venturicidin. The steady state rate of PP_i synthesis under continuous illumination was about 15% of the steady-state rate of ATP synthesis. The synthesis of PP_i after short light flashes was also studied. The yield of PP_i after a single 1 ms flash was equivalent to approximately 1 mol PP_i/500 mol Bacteriochlorophyll. In Rps. viridis chromatophores, PP_i was also found to induce a membrane potential, which was sensitive to carbonyl cyanide p-trifluoromethoxyphenylhydrazone and NaF.Abbreviations BChl Bacteriochlorophyll - F₀F₁-ATPase Membrane bound proton translocating ATP synthase - FCCP Carbonyl cyanide p-trifluoromethoxyphenylhydrazone - H⁺-PPase Membrane bound proton translocating PP_i synthase - TPP⁺ Tetraphenyl phosphonium ion - TPB^- Tetraphenyl boron ion - Transmembrane electrical potential difference     

Effect of 1-Methyladenine on Localization of Gαi Protein in Starfish Oocytes

Localization and quantitative dynamics of _i subunit of G protein was studied by electron immunocytochemistry and immunoenzyme assay after hormonal induction of oocyte maturation in starfish Asterias amurensis. G_i protein was chiefly localized in the plasma membrane of immature oocytes; 1-methyladenine induced redistribution of the _i protein from the plasma membrane to intracellular structure up to the breakdown of the germinal vesicle.     

Angular dependence of 1J(Ni,Calphai) and 2J(Ni,Calpha(i-1)) coupling constants measured in J-modulated HSQCs

A new method to measure ¹J(N_i,C _i) and ²J(N_i,C _{(i – 1)}) coupling constants in proteins based on a J-modulated sensitivity enhanced HSQC was introduced. Coupling constants were measured in the denatured and in the native state of ubiquitin and found to depend on the conformation of the protein backbone. Using a combined data set of experimental coupling constants from ubiquitin and staphylococcal nuclease (Delaglio et al., 1991), the angular dependence of the coupling constants on the backbone angles and was investigated. It was found that the size of ²J(N_i,C _{(i – 1)}) correlates strongly with the backbone conformation, while only a weak conformational dependence on the size of ¹J(N_i,C _i) coupling constants was observed. Coupling constants in the denatured state of ubiquitin were uniform along the sequence of the protein and not dependent on a given residue type. Furthermore it was shown that the observed coupling constants were in good agreement with predicted coupling constants using a simple model for the random coil.     

G proteins,adenylyl cyclase and related phosphoproteins in the developing rat heart

The postnatal alterations of the composition of a subunit isoforms (G_ic, G _i3 G_o, and _Gq of G proteins, the adenylyl cyclase activity as well as of cAMP-regulated phosphoproteins e.g. troponin and phospholamban were investigated in the ventricular tissue of 1, 7, 30 days old rats. Quantitative immunodetection revealed a 5.7-fold decrease in G_i3 at 30th postnatal day compared with the postnatal day 1 and up to 15-fold at 4 months. The amounts of G_q and G as well as the G subunits were found to be higher in the earlier life period compared to the adult. In contrast, the content of G_s was uneffected by the developmental state. Basal adenylyl cyclase activity (pmoles cAMP/min × mg protein) increased from 30.9 ± 5.0, 36.8 ± 5.0 to 63.9 ± 5.9 at 1st, 7th and 30th postnatal day, respectively. Isoprenaline (100 M) enhanced the activity of adenylyl cyclase from day 1, 7–30 from 46.2 ± 7.0, 79.1 ± 9.2 to 120.5 ± 7.2, respectively. The effects of forskolin and NaF on adenylyl cyclase activity was found to be not influenced within the first postnatal month. Furthermore, a developmentally controlled expression of cardiac troponin I was observed (6-fold from the first to the 28th postnatal day) whereas the level of phospholamban was found to be age-independent.In conclusion, there is an increase in the efficiency of the -adrenergic signal transfer mainly caused by a reduction of the inhibitiory G proteins and a dominance of the G_s-linked pathway in the postnatal rat heart. Furthermore the developmentally controlled expression of troponin I might be of functional importance in the cAMP-supported relaxation. Additionally, altered G_q, G_o and G pattern of the developing rat ventricle may play a role in the observed change of -adrenerg-mediated heart contractility as well as in cardiac differentiation and growth processes.     

Influence of isolation media on synaptosomal properties: Intracellular pH,pCa, and Ca2+ uptake

Preparations of synaptosomes isolated in sucrose or in Na⁺-rich media were compared with respect to internal pH (pH₁), internal Ca²⁺ concentration ([Ca²⁺]_i), membrane potential and⁴⁵Ca²⁺ uptake due to K⁺ depolarization and Na⁺/Ca²⁺ exchange. We found that synaptosomes isolated in sucrose media have a pH_i of 6.77±0.04 and a [Ca²⁺]_i of about 260 nM, whereas synaptosomes isolated in Na⁺-rich ionic media have a pH_i of 6.96±0.07 and a [Ca²⁺]_i of 463 nM, but both types of preparations have similar membrane potentials of about –50 mV when placed in choline media. The sucrose preparation takes up Ca²⁺ only by voltage sensitive calcium channels (VSCC'S) when K⁺-depolarized, while the Na⁺-rich synaptosomes take up⁴⁵Ca²⁺ both by VSCC'S and by Na⁺/Ca²⁺ exchange. The amiloride derivative 2, 4 dimethylbenzamil (DMB), at 30 M, inhibits both mechanisms of Ca²⁺ influx, but 5-(N-4-chlorobenzyl)-2, 4 dimethylbenzamil (CBZ-DMB), at 30 M, inhibits the Ca²⁺ uptake by VSCC'S, but not by Na⁺/Ca²⁺ exchange. Thus, DMB and CBZ-DMB permit distinguishing between Ca²⁺ flux through channels and through Na⁺/Ca²⁺ exchange. We point out that the different properties of the two types of synaptosomes studied account for some of the discrepancies in results reported in the literature for studies of Ca²⁺ fluxes and neurotransmitter release by different types of preparations of synaptosomes.Abbreviations used BCECF 2,7-Biscarboxyethyl-5(6)-carboxyfluorescein - BCECF/AM acetoxymethyl ester of BCECF - [Ca²⁺]_i Internal free calcium ion concentration - CBZ-DMB 5-(N-4-chlorobenzyl)-2,4-dimethylbenzamil - DMB 2, 4-dimethylbenzamil - DMSO dimethyl sulfoxide - Indo-1/AM acetoxymethyl ester of Indo-1 - MES 2-|N-Morpholino|ethanesulfonic acid - NMG N-methyl-D-glucamine - pH_i internal pH - TPP⁺ tetraphenylphosphonium - _p plasma membrane potential     

Altruism,tit for tat and ‘outlaw’ genes

Summary In a prior study we combined game theory and inclusive fitness models to examine whether the guarded altruism that can evolve among non-relatives (tit for tat, TFT) might also evolve among close relatives, supplanting unconditional altruism. In most cases, TFT replaced unconditional altruism in family-structured models. Even when TFT is selected at a single locus, however, by withholding altruism from non-reciprocating relatives it may qualify as an outlaw from the standpoint of modifier genes at other loci. Here we examine this possibility with a series of haploid, two-locus models in which a modifier gene transforms TFT into unconditional altruism. The modifier allele spreads to fixation whenever Hamilton's Rule is satisfied, resulting in an unconditional altruist replacing the TFT strategy. As such, TFT may be regarded as an outlaw vulnerable to suppression by alleles at other loci.     

Cell-wall tension of the inner tissues of the maize coleoptile and its potential contribution to auxin-mediated organ growth

Plant organs such as maize (Zea mays L.) coleoptiles are characterized by longitudinal tissue tension, i.e. bulk turgor pressure produces unequal amounts of cell-wall tension in the epidermis (essentially the outer epidermal wall) and in the inner tissues. The fractional amount of turgor borne by the epidermal wall of turgid maize coleoptile segments was indirectly estimated by determining the water potential ^* of an external medium which is needed to replace quantitatively the compressive force of the epidermal wall on the inner tissues. The fractional amount of turgor borne by the walls of the inner tissues was estimated from the difference between -^* and the osmotic pressure of the cell sap (_i) which was assumed to represent the turgor of the fully turgid tissue. In segments incubated in water for 1 h, -^* was 6.1–6.5 bar at a _i of 6.7 bar. Both -^* and _i decreased during auxin-induced growth because of water uptake, but did not deviate significantly from each other. It is concluded that the turgor fraction utilized for the elastic extension of the inner tissue walls is less than 1 bar, i.e. less than 15% of bulk turgor, and that more than 85% of bulk turgor is utilized for counteracting the high compressive force of the outer epidermal wall which, in this way, is enabled to mechanically control elongation growth of the organ. This situation is maintained during auxin-induced growth.Abbreviations and Symbols _i osmotic pressure of the tissue - ₀ external water potential - ^* water potential at which segment length does not change - IAA indole-3-acetic acid - ITW longitudinal inner tissue walls - OEW outer epidermal wall - P turgor Supported by Deutsche Forschungsgemeinschaft (SFB 206).