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1.
In a previous article (8) a geometrical study of the five-membered ring showed that: a) for the case of the 20 symmetrical C2 and Cs conformations, the pseudorotation formulae for the torsion angles are a geometrical property of the ring; b) geometrical considerations alone are unable to define the puckering amplitude, the bond angle values, and the pathway between two symmetrical conformations. Here we examine how the energy equations enable us to define the deformation amplitude m, establish the bond angles expressions and check the energy invariability along the pseudorotation circuit. The problem is next developed fully in the case where the bond and torsional energy only are considered: the literal expression1 of m is then given as a function of the bond angle which cancels out the bond angle energy. A numerical application is carried out on cyclopentane and the values of the parameters Kt, K1 and used in the Conformational energy calculations are considered.Notations used 1 i bond lengths 1 in the case of the regular ring - i torsional angles - i bond angles - 3/5 = 108 - 4/5 = 144 - , i i – = complement to the 108 bond angle i - T - E Conformational energy of the 5-membered ring - E Conformational energy difference between planar and deformed ring - A n Coefficients of the energy development in terms of - E i l Bond energy relative to atom i (associated with angle i) - K i l Bond constant relative to atom i (associated with angle i) - E i l Torsional energy relative to the i th bond (associated with angle i) - k i l Torsional constant relative to the i th bond (associated with angle i) - i Angle i value corresponding to zero bond energy E i l (when the 5 atoms of the ring are identical, i ) - r ij Distance between atoms i and j - q i Charge carried by atom i - e Constant of proportionality including the effective dielectric constant - A ij, Bij, dij Coefficients dependent on the nature of the atoms i and j and accounted for in the Van der Waals energy and hydrogen bond expressions - S (r ij) Electrostatic contribution to the hydrogen bond energy - P Pseudorotation phase angle - m Maximum torsional angle value characterising the deformation amplitudeM  相似文献   

2.
Summary The surface tension and foaminess of (a) unlimited, (b) substrate limited, and (c) oxygen transfer limited growth media of Hansenula polymorpha were measured using methanol, ethanol or glucose as a substrate.The time dependence of can be described by the Avrami-Überreiter relationship: log (2.3 log V)=n log t+log b, where V = (Oeq/(teq, and O, t and eq are at tM=0, tM=t and tM (equilibrium value).The constants n and b are functions of the fermentation time tF as long as the growth is unlimited but they are constant in the state of limited growth. With glucose substrate, the foaminess can be presented as a definite function of the time, tDG, which is necessary to attain eq. With alcohol as a substrate no definite (tDG) function was found.Symbols b constant in Eq. (1) - n constant in Eq. (1) - S substrate concentration - T temperature - tM time h (measured from the beginning of the determination of the surface tension ) - tF cultivation time h (measured from the time of inoculation) - tDG time (min) necessary to attain the equilibrium surface tension ) - X dry biomass concentration (gl–1) - V (Oeq)/(teq) - VS equilibrium volume of the foam (cm3) - VG volumetric gas flow rate during the estimation of (cm3 s–1) - vvm volumetric gas flow rate with regard to the volume of the medium (min–1) - wSG superficial gas velocity (cm s–1) - m maximum specific growth rate (h–1) - VS/VG foaminess (s) - surface tension, mMm–1 (milli Newton m–1) - O at tM=0 - eq equilibrium surface tension ( at tM) - t at tM=t - HP probes from Hansenula polymorpha cultivation - NLG non limited growth - OTLG oxygen transfer limited growth - SLG substrate limited growth  相似文献   

3.
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 ui with 0 ui 1 has been introduced reflecting the different survival and yielding ability of the components. For the stochastic analysis the mean of each ui 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)  相似文献   

4.
Nucleic acid duplexes featuring a single alpha-anomeric thymidine inserted into each DNA strand via 3-3 and 5-5 phosphodiester linkages exhibit local conformational dynamics that are not adequately depicted by conventional restrained molecular dynamics (rMD) methods. We have used molecular dynamics with time-averaged NMR restraints (MDtar) to explore its applicability to describing the conformational dynamics of two -containing duplexes – d(GCGAAT-3-3-T-5-5-CGC)2 and d(ATGG-3-3-T-5-5-GCTC)r(gagcaccau). In contrast to rMD, enforcing NOE-based distance restraints over a period of time in MDtar rather than instantaneously results in better agreement with the experimental NOE and J-data. This conclusion is based on the dramatic decreases in average distance and coupling constant violations (d av, J rms, and J av) and improvements in sixth-root R-factors (R x). In both duplexes, the deoxyribose ring puckering behavior predicted independently by pseudorotation analysis is portrayed remarkably well using this approach compared to rMD. This indicates that the local dynamic behavior is encoded within the NOE data, although this is not obvious from the local R x values. In both systems, the backbone torsion angles comprising the 3-3 linkage as well as the (high S-) sugars of the -nucleotide and preceding residue (–1) are relatively static, while the conformations of the 5-5 linkage and the sugar in the neighboring -nucleotide (+1) show enhanced flexibility. To reduce the large ensembles generated by MDtar to more manageable clusters we utilized the PDQPRO program. The resulting PDQPRO clusters (in both cases, 13 structures and associated probabilities extracted from a pool of 300 structures) adequately represent the structural and dynamic characteristics predicted by the experimental data.  相似文献   

5.
Growth rate estimates () of phytoplankton populations that were sampled from nitrogen-limited continuous cultures and then incubated for short durations in batch culture with added14C-HCO3 were significantly different than steady-state growth rates () for 3 of 5 marine phytoplankton species. Two diatoms,Thalassiosira weissflogii andChaetoceros simplex, displayed virtually identical growth rates (=) over a wide range of, whereas for a third diatom,Phaeodactylum tricornutum, was overestimated by an average of 40% compared to. In contrast, was underestimated by the14C technique for the two remaining species: up to 40% at a steady-state of 1.0 day–1 for the chlorophyteDunaliella tertiolecta and up to 100% at of 1.4 day–1 for the haptophytePavlova lutheri. For the latter two species the divergence between and appeared to increase with increasing steady-state. A simple model of labeled and total carbon flow between the aqueous phase and cellular biomass was constructed to demonstrate that respiration was negligible when=, but was significant when>. In the cases in which<, a rapid physiological alteration presumably took place once the steady state was disturbed and cells were placed in the incubation chambers, which perhaps was related to the nutritional state of the cultures at the time of sampling. Questions thus are raised regarding our ability to measure accurately primary productivity from shipboard experiments with confined samples of phytoplankton from nutrient-impoverished waters that probably are less hardy than the laboratory cultures used in these studies.  相似文献   

6.
In this paper we give an analytical reformulation of Holling's (1966) simulation model for invertebrate predatory behaviour. To this end we represent a population of predators as a frequency distribution over a space of (physiological) states. The functional response of a predator is calculated from the (stable) equilibrium distribution of its state as a function of prey density.Starting from the general model various other models are obtained by limit processes, some of them new and some of them old. The more interesting of which will be studied in further papers in this series.List of Notation a rate constant of digestion - b maximum of rate constant of prey encounter in the mantid - b maximum pursuit duration in the mantid (p(0)) - c satiation threshold for search - c satiation threshold for pursuit in the mantid: c=c(b-Ds/v)/b - D m maximum sighting distance - D p pursuit distance - D s strike distance - expectation operator - f, f 0 rate of change of satiation during search - f 1 rate of change of satiation during prey handling - F functional response: number of prey eaten per unit of time by one predator - g rate constant of effective prey encounter in the gobbler and sucker - g0 rate constant of prey encounter - g1 probability of no prey loss from pursuit - g2 probability of no prey escaping during pursuit - H Holling secretary correction factor in the sucker: fraction of the time spent searching - k R density of R - kT probability density of maximum prey handling time - K probability that maximum prey handling time is e, i.e. pursuit duration is zero - K R distribution function of R - N number of prey caught - p (marginal) density of S - p0 density of S in search - p1 simultaneous density of S and T - P probability - p 1 marginal density of S in handling prey - q probability of strike success - R ratio of realized to maximum sighting distance - s, S satiation - satiation axis - t time - handling time axis - u eating speed - U homogeneous(0,1) random variable - v pursuit speed - V exponential(1) random variable - w prey weight - W exponential(m) random variable - x prey density - ratio of maximum successful pursuit duration to meal duration (pm/e) - pm - relative duration of successful pursuit (p/pm) - ratio of shortest to largest sighting distance - xe - time already spent handling a prey item - rate of prey loss during prey handling - prey escape rate during pursuit - prey biomass density (xw) - , T maximum time still to be spent handling a prey item - e meal duration - m maximum handling time ( e+ p) - p duration of successful pursuit - pm maximum duration of successful pursuit (p(0)) - hazard rate - m maximum of hazard rate - scaled functional response (wF) - minimal i-state space  相似文献   

7.
Summary The splitting of 6-Br-2-naphthyl-, -naphthyl-, and 4-Cl-5-Br-3-indolyl-glycosides which proved useful for the assessment of cytological localization of intestinal enzymes in previous studies was investigated using isolated human and rat intestinal disaccharidases as a source of enzyme activities.Previous findings based on histochemical studies were confirmed and extended. 6-Br-2naphthyl-D-glucoside is cleaved by glucoamylase and sucrase-isomaltase. The participatio of trehalase in splitting of this substrate is very low and can be neglected. The mentioned -glucosidases are responsible for the brush border staining of enterocytes with this substrate when unfixed cold microtome sections are used. Even when a differential heat inactivation of sucrase-isomaltase and of glucoamylase occurs during paraffin embedding (so that the staining in paraffin sections is due mostly to glucoamylase) the use of natural substrates is desirable for a more precise assessment of sucrase-isomaltase activity (but without the possibility of a correct localization).4-Cl-5-Br-3-indolyl--D-fucoside is the substrate of choice for the demonstration of lactase. Even when this substrate is split also by hetero--galactosidase and by acid (lysosomal) -galactosidase these activities do not disturb the histochemical demonstration of lactase. If however some doubts arise, the inhibition with p-Cl-mercuribenzoate (2 · 10–4 M) is to be emloyed (lactase activity is not inhibited). Due to a low Km and a high Vmax of indolyl-fucoside and due to its extreme stability in solution (which enables to use the substrate solution repeatidly) this substrate is suitable in routine practice even though it is expensive. -naphthyl- and 4-Cl-5-Br-3-indolyl--D-glucosides are split by lactase and -glucosidase. Due to the fact that the mutual delineation of these activities is not easy and that Km an Vmax for lactase are not so favourable as in the case of fucoside these substrates are not recommended for the assessment of lactase.6-Br-2-naphthyl--D-glucoside is the substrate of choice for the histochemical studies concerned with hetero--galactosidase and 4-Cl-5-Br-3-indolyl--D-galactoside for acid -galactosidase.  相似文献   

8.
Isolated embryos ofKarwinskia humboldtiana were cultured in vitro. The growth of embryos and development to plantlets on woody plant medium supplemented with indole-3-acetic acid 6.10-2 mol l–1, gibberellic acid (GA3) 3.10-2 mol l–1, and 6-benzylaminopurine (BA) 2 mol l–1 was obtained. Multiplication of shoots and rooting of excised shoots has been achieved. Callus formation on modified Murashige-Skoog medium supplemented with 1-naphthaleneacetic acid 10 mol l–1, GA3 14 mol l–1, and kinetin 5 mol l–1 on hypocotyls, or on root cultures on medium supplemented with 2.4-dichlorophenoxyacetic acid 10 mol l–1 and BA 10 mol l–1 was induced.Abbreviations BA 6-benzylaminopurine - 2,4-d 2,4-dichlorophenoxyacetic acid - GA3 gibberellic acid - IAA indole-3-acetic acid - NAA 1-naphthaleneacetic acid - TEM transmission electron microscopy  相似文献   

9.
Summary An empirical correlation between the peptide 15N chemical shift, 15Ni, and the backbone torsion angles i, i–1 is reported. By using two-dimensional shielding surfaces (i1–1), it is possible in many cases to make reasonably accurate predictions of 15N chemical shifts for a given structure. On average, the rms error between experiment and prediction is about 3.5 ppm. Results for threonine, valine and isoleucine are worse (4.8 ppm), due presumably to 1-distribution/-gauche effects. The rms errors for the other amino acids are 3 ppm, for a typical maximal chemical shift range of 15–20 ppm. Thus, there is a significant correlation between 15N chemical shift and secondary structure.  相似文献   

10.
Transducin (T), the G-protein in the visual system, is a heterotrimer arranged as two functional units, T and T. N, N-1, 2-phenylenedimaleimide (o-PDM) and N, N-1, 4-phenylenedimaleimide (p-PDM), two cysteine specific-homobifunctional agents, were used to covalently cross-link T and its units. A complete inhibition in T function was observed in the presence of these compounds. Incubation of T with o-PDM or p-PDM resulted in the formation of high-molecular-weight oligomers of 70-, 105-, 140-, and 200 kDa, as well as intramolecular cross-linked polypeptides that migrated as 35- and 37-kDa bands. Additionally, the treatment of T with both reagents produced a major species of 46-kDa. The combination of intact T and o-PDM- or p-PDM-treated T reconstituted T native activities. On the contrary, when o-PDM- or p-PDM-modified T was incubated with intact T, more than 90% inhibition on T function was observed. Hence, the cysteines modified and/or cross-linked on T represent functionally important residues of T.  相似文献   

11.
The physical origin and functional significance of the near infra-red light scattering changes observable upon flash illumination of diluted suspensions of magnetically oriented, permeabilised frog retinal rods has been reinvestigated with particular attention paid to the degree with which transducin remains attached to the membrane. In the absence of GTP, the so called binding signal is shown to include two components of distinctive origins, widely different kinetics, and whose relative amplitudes depend on the dilution of the suspension and resulting detachment of transducin from the disc membrane. The fast component is a consequence of the fast interaction between photoexcited rhodopsin (R*) and the transducin remaining on the membrane. Its kinetics monitors a structural modification of the discs caused by a change in electrostatic interaction between closely packed membranes upon the formation of R*-T complexes. The slow component monitors the slow rebinding to the membrane and possible subsequent interaction with excess R* of T-GDP which, in spite of its low solubility, had eluted into solution given the high dilution of the permeated rods. In the presence of GTP, the so called dissociation signal includes a fast, anisotropic release component that specifically monitors the release into the interdiscal space of T -GTP formed from the membrane-bound pool, and a slower isotropic loss component monitoring the leakage from the permeated rod of the excess T -GTP which did not interact with the cGMP phosphodiesterase. The amplitudes of both components depend exclusively on the membrane bound T-GDP pool. The kinetics of the loss component is limited by the size and degree of permeation of the rod fragments, rather than by the dissociation rate of T -GTP from the membrane.Abbreviations ROS rod outer segment - R rhodopsin - R* photoactivated rhodopsin - T, T-GDP, T -GDP, T -GTP, T transducin and its various forms - T mb, T sol: T bound to membrane or soluble - PDE cGMP-phosphodiesterase - GTP guanosine 5-triphosphate - GDP guanosine 5-diphosphate - GDP S guanosine 5-O-(2-thiodiphosphate) - cGMP guanosine-3-5 cyclic-monophosphate - DTT dithiothreitol - HEPES 4-(2-hydroxyethyl)-1-piperazine-ethane sulfonic acid - TRIS Tris (hydroxymethyl)aminomethane - SDS sodium dodecyl sulfate  相似文献   

12.
RFLP-based genetic maps of chromosomes 6A and 6B of Triticum turgidum have been constructed using data obtained by the study of Triticum turgidum var durum cv Langdon-T. t. var dicoccoides recombinant substitution lines (RSLs) supplemented with data obtained from F3 families derived from Langdon dicoccoides 6A and 6B disomic substitution lines. The average RFLP frequencies detected for the two chromosomes in a test of 45 DNA clones with six restriction enzymes were 56% and 53%, respectively, and a subset of 32 clones gave frequencies of 75% and 72%, respectively. Seventeen loci were mapped in 6A and 18 in 6B. With the possible exception of 5 loci in the centromeric region of 6A, all of the mapped 6A and 6B loci are located in the same arm as are homologous loci in hexaploid wheat, and the linear order of the loci is the same in the two chromosomes, except possibly close to the centromere. Major differences in genetic distances exist between homologous loci located in the proximal regions of the 6AL and 6BL linkage groups, however, the distances being much larger in the former than in the latter. The 6B maps that were constructed using data from both the RSL and the F2 populations and using data from the RSL population alone closely resemble one another, indicating that the 6B RSL population, composed of 85 lines, can be reliably used for genetic mapping. Additional studies must be conducted before the utility of the 6A RSL population, composed of 66 lines, can be adequately assessed.  相似文献   

13.
In this paper we use a dynamical systems approach to prove the existence of a unique critical value c * of the speed c for which the degenerate density-dependent diffusion equation u ct = [D(u)u x ] x + g(u) has: 1. no travelling wave solutions for 0 < c < c *, 2. a travelling wave solution u(x, t) = (x - c * t) of sharp type satisfying (– ) = 1, () = 0 *; '(*–) = – c */D'(0), '(*+) = 0 and 3. a continuum of travelling wave solutions of monotone decreasing front type for each c > c *. These fronts satisfy the boundary conditions (– ) = 1, '(– ) = (+ ) = '(+ ) = 0. We illustrate our analytical results with some numerical solutions.  相似文献   

14.
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.  相似文献   

15.
Uptake kinetics of nitrogen derived from sewage–seawater mixtures (2.5–20% v/v effluent) were determined in the laboratory for Ulva rigida (Chlorophyceae) native from Bahía Nueva (Golfo Nuevo, Patagonia, Argentine). In terms of nitrogen concentration, experimental enrichment levels varied between 53.7 and 362.3M of ammonium and between 0.77 and 6.21M of nitrate+nitrite. Uptake rates were fitted to the Michaelis–Menten equation, with the following kinetic parameters: ammonium: Vmax = 591.2molg–1h–1, K s=262.3M, nitrate+nitrite: V max=12.9molg–1h–1, K s=3.5M). Both nutrients were taken up simultaneously, but ammonium incorporation was faster in all cases. The results show a high capability of Ulva rigida to remove sewage-derived nitrogen from culture media. In the field, most of the nitrogen provided by the effluent would be tied up in algal biomass, supporting low nitrogen levels found at a short distance away from the source.  相似文献   

16.
A rapid procedure is described for the separation of CMP-sialic acid:lactosylceramide sialyltransferase reaction components using Sep Pak C18 cartridges. The quantitative separation of the more polar nucleotide sugar, CMP-sialic acid, and its free acid from the less polar GM3-ganglioside is simple and rapid relative to previously described methods. Recovery of GM3 is optimized by the addition of phosphatidylcholine to the reaction mixture prior to the chromatographic step. Using rat liver Golgi membranes as a source of CMP-sialic acid: lactosylceramide sialyltransferase activity (GM3 synthase; ST-1), the transfer of [14C] sialic acid from CMP-[14C] sialic acid to lactosylceramide can be quantified by this assay. The procedure is reliable and may be applicable to the isolation of ganglioside products in otherin vitro glycosyltransferase assays.Abbreviations GM3 GM3-ganglioside - II3NeuAc-LacCer NeuAc2-3Gal1-4Glc1-1Cer - GD1a GD1a-ganglioside, IV3NeuAc, II3NeuAc-GgOse4Cer, NeuAc2-3Gal1-3GalNac1-4(NeuAc2-3)Gal1-4Glc1-1Cer - GD3 GD3-ganglioside, II3(NeuAc)2LacCer, NeuAc2-8NeuAc2-3Gal1-4Glc1-1Cer - GgOse4Cer asialo-GM1 Gal1-3GalNAc1-4Gal1-4Glc1-1Cer - FucGMI fucosyl-GMI-ganglioside, Fuc1-2Gal1-3GalNAc1-4Gal1-4 Glc1-1Cer - ST-1 GM3 synthase, CMP-sialic acid:lactosylceramide sialyltransferase - LacCer lactosylceramide, Gal1-4Glc1-1Cer - CMP-NeuAc cytidine 5-monophospho-N-acetylneuraminic acid - PC phosphatidylcholine - PMSF phenylmethylsulfonyl fluoride  相似文献   

17.
A -carotene oxygenase is described which occurs in the Cyanobacterium Microcystis. It cleaves -carotene and zeaxanthin specifically at the positions 7,8 and 7,8, while echinenone and myxoxanthophyll are not affected. The oxidative cleavage of -carotene leads to the formation of -cyclocitral and crocetindial and that of zeaxanthin to hydroxy--cyclocitral and crocetindial in nearly stoichiometric amounts. Oxidant is dioxygen as has been demonstrated by high incroporation (86%) of 18O2 into -cyclocitral. -Carotene oxygenase is membrane bound, sensitive to sulfhydryl reagents, antioxidants and chelating agents. Iron seems to be an essential part of the enzyme activity. Cofactors necessary for the reaction could not be detected.Abbreviations TLC thin layer-chromatography - PIPES piperazine-N,N-bis-(2-ethanesulfonate) Na - TES 2{[tris-(hydroxymethyl)-methyl]-amino} ethanesulfonic acid Dedicated to Professor G. Drews on occasion of his 60th birthday  相似文献   

18.
Summary A single dominant factor, Hss, that conditions a rapid lethal necrotic response to soybean mosaic virus (SMV) has been identified in Phaseolus vulgaris L. cv. Black Turtle Soup, line BT-1. Inoculated plants carrying this factor developed pinpoint necrotic lesions on inoculated tissue followed by systemic vascular necrosis and plant death within about 7 days, regardless of ambient temperature. BT-1 also carries dominant resistance to potyviruses attributed to the tightly linked or identical factors, I, Bcm, Cam, and Hsw, so linkage with Hss was evaluated. No recombinants were identified among 381 F3 families segregating for potyvirus susceptibility, thus if Hss is a distinct factor, it is tightly linked to I, Bcm, Cam, and Hsw. BT-1 was also crossed reciprocally with the line Great Northern 1140 (GN 1140) in which the dominant gene, Smv, for systemic resistance to SMV was first identified. Smv and Hss segregated independently and are co-dominant. The (GN 1140 x BT-1) F1 populations showed a seasonal shift of the codominant phenotype. Evaluation of the (GN 1140 x BT-1) F2 population under conditions where Smv is partially dominant allowed additional phenotypic classes to be distinguished. Pathotype specificity has not been demonstrated for either Smv or Hss. Genotypes that are homozygous for both dominant alleles are systemically resistant to the virus and in addition show undetectable local viral replication or and no seed transmission. This work demonstrates that a gene which conditions a systemic lethal response to a pathogen may be combined with additional gene(s) to create an improved resistant phenotype.  相似文献   

19.
Summary A simple viscoelastic film model is presented, which predicts a breakdown electric potential having a dependence on the electric pulse length which approximates the available experimental data for the electric breakdown of lipid bilayers and cell membranes (summarized in the reviews of U. Zimmermann and J. Vienken, 1982,J. Membrane Biol. 67:165 and U. Zimmermann, 1982,Biochim. Biophys. Acta 694:227). The basic result is a formula for the time of membrane breakdown (up to the formation of pores): =(/C)/( m 2 0 2 U 4/24Gh 3+T 2/Gh–1), where is a proportionality coefficient approximately equal to ln(h/20),h being the membrane thickness and 0 the amplitude of the initial membrane surface shape fluctuation ( is usually of the order of unity), represents the membrane shear viscosity,G the membranes shear elasticity modules, m the membrane relative permittivity, 0=8.85×10–12 Fm,U the electric potential across the membrane, the membrane surface tension andT the membrane tension. This formula predicts a critical potentialU c ;U c =(24Gh 3/ m 2 0 2 )1/4 (for = andT=0). It is proposed that the time course of the electric field-induced membrane breakdown can be divided into three stages: (i) growth of the membrane surface fluctuations, (ii) molecular rearrangements leading to membrane discontinuities, and (iii) expansion of the pores, resulting in the mechanical breakdown of the membrane.  相似文献   

20.
The dynamics of coupled biological oscillators can be modeled by averaging the effects of coupling over each oscillatory cycle so that the coupling depends on the phase difference between the two oscillators and not on their specific states. Average phase difference theory claims that mode locking phenomena can be predicted by the average effects of the coupling influences. As a starting point for both empirical and theoretical investigations, Rand et al. (1988) have proposed d/dt= — K sin ), with phase-locked solutions =arcsin( /K), where is the difference between the uncoupled frequencies and K is the coupling strength. Phase-locking was evaluated in three experiments using an interlimb coordination paradigm in which a person oscillates hand-held pendulums. was controlled through length differences in the left and right pendulums. The coupled frequency c was varied by a metronome, and scaled to the eigenfrequency v of the coupled system K was assumed to vary inversely with c. The results indicate that: (1) and K contribute multiplicatively to (2) =0 or = regardless of K when =0; (3) 0 or regardless of when K is large (relative to ); (4) results (1) to (3) hold identically for both in phase and antiphase coordination. The results also indicate that the relevant frequency is c/v rather than c. Discussion high-lighted the significance of confirming =arcsin(/K) for more general treatments of phase-locking, such as circle map dynamics, and for the 11 phase-entrainment which characterizes biological movement systems.  相似文献   

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