Interaction among anion,cation and glucose transport proteins in the human red cell

Summary The time course of binding of the fluorescent stilbene anion exchange inhibitor, DBDS (4,4-dibenzamido-2,2-stilbene disulfonate), to band 3 can be measured by the stopped-flow method. We have previously used the reaction time constant, _DBDS, to obtain the kinetic constants for binding and, thus, to report on the conformational state of the band 3 binding site. To validate the method, we have now shown that the ID₅₀ (0.3±0.1 m) for H₂-DIDS (4,4-diisothiocyano-2,2-dihydrostilbene disulfonate) inhibition of _DBDS is virtually the same as the ID₅₀ (0.47±0.04 m) for H₂-DIDS inhibition of red cell Cl^– flux, thus relating _DBDS directly to band 3 anion exchange. The specific glucose transport inhibitor, cytochalasin B, causes significant changes in _DBDS, which can be reversed with intracellular, but not extracellular,d-glucose. ID₅₀ for cytochalasin B modulation of _DBDS is 0.1±0.2 m in good agreement withK _D =0.06±0.005 m for cytochalasin B binding to the glucose transport protein. These experiments suggest that the glucose transport protein is either adjacent to band 3, or linked to it through a mechanism, which can transmit conformational information. Ouabain (0.1 m), the specific inhibitor of red cell Na⁺,K⁺-ATPase, increases red cell Cl^– exchange flux in red cells by a factor of about two. This interaction indicates that the Na⁺,K⁺-ATPase, like the glucose transport protein, is either in contact with, or closely linked to, band 3. These results would be consistent with a transport proteincomplex, centered on band 3, and responsible for the entire transport process, not only the provision of metabolic energy, but also the actual carriage of the cations and anions themselves.     

Maxi K+ channels from the apical membranes of rabbit oviduct epithelial cells

Large conductance (approximately 210 pS), K⁺-selective channels were identified in excised, insideout patches obtained from the apical membranes of both ciliated and nonciliated epithelial cells grown as monolayers from the primary culture of rabbit oviduct. The open probability of channels showing stable gating was increased at positive membrane potentials and was sensitive to the concentration of free calcium ions at the cytosolic surface of the patch ([Ca²⁺] _i ). In these respects, the channel resembled maxi K⁺ channels found in a number of other cell types. The distributions of dwell-times in the open state were most consistently described by two exponential components. Four exponential components were fitted to the distributions of dwelltimes in the closed state. Depolarizations and [Ca²⁺] _i increases had similar effects on the distribution of open dwell-times, causing increases in the two open time constants ( _o1 and _o2) and the fraction of events accounted for by the longer component of the distribution. In contrast, calcium ions and voltage had distinct effects on the distribution of closed dwelltimes. While the three shorter closed time constants ( _c1, _c2 and _c3) were reduced by depolarizing membrane potentials, increases in [Ca²⁺] _i caused decreases in the longer time constants ( _c3 and _c4). It is concluded that oviduct large conductance Ca²⁺-activated K⁺ channels can enter at least two major open states and four closed states.A.F.J. was supported by a research fellowship from the Japan Society for the Promotion of Science and received a grant for laboratory expenses from the Ministry of Education, Science and Culture, Japan. The authors wish to thank Dr. Shigetoshi Oiki for valuable discussion of the analysis of gating kinetics and Dr. Jeman Kim (Kyoto Pharmaceutical University) for making the transmission electron micrographs.     

Sodium channel opening as a precursor to inactivation

The time constant of the process producing the delay in Na inactivation development as determined by the two pulse method (_delay) was extracted and compared to that of the slowest Na activation process ₃ for the I _Na during the conditioning pulse of that same determination. _delay and two pulse inactivation _c values were computer generated using a nonlinear least squares algorithm. _h and single pulse inactivation _h values were independently generated for each determination also with the aid of the computer using the same non-linear least squares algorithm. In one determination at 2 mV, _c was 4.68 and _delay 0.494 ms while _h was 4.70 and ₃ 0.491 ms for a _c/_h of 0.996 and a _delay/₃ of 1.006. Mean _delay/₃ from five determinations in four axons, both Cs and K perfused, and spanning a potential range of-27 to 2mV was 1.068. The precursor process to inactivation is channel opening. Some fraction of channels presumably inactivate via another route where prior channel opening is not required.     

Responsiveness of cardiac Na+ channels to antiarrhythmic drugs: The role of inactivation

Summary Elementary Na⁺ currents were recorded at 9°C in inside-out patches from cultured neonatal rat heart myocytes. In characterizing the sensitivity of cooled, slowly inactivating cardiac Na⁺ channels to several antiarrhythmic drugs including propafenone, lidocaine and quinidine, the study aimed to define the role of Na⁺ inactivation for open channel blockade.In concentrations (1–10 mol/liter) effective to depressNP _o significantly, propafenone completely failed to influence the open state of slowly inactivating Na⁺ channels. With 1 mol/liter, _open changed insignificantly to 96±7% of the control. Even a small number of ultralong openings of 6 msec or longer exceeding _open of the whole ensemble several-fold and attaining _open (at –45 mV) in cooled, (-)-DPI-modified, noninactivating Na⁺ channels proved to be drug resistant and could not be flicker-blocked by 10 mol/liter propafenone. The same drug concentration induced in(-)-DPI-modified Na⁺ channels a discrete block with association and dissociation rate constants of 16.1 ± 5.3 × 10⁶ mol^–1 sec^–1 and 675 ± 25 sec^–1, respectively. Quinidine, known to have a considerable affinity for activated Na⁺ channels, in lower concentrations (5 mol/liter) left _open unchanged or reduced, in higher concentrations (10 mol/liter) _open only slightly to 81% of the predrug value whereasNP _o declined to 30%, but repetitive blocking events during the conducting state could never be observed. Basically the same drug resistance of the open state was seen in cardiac Na⁺ channels whose open-state kinetics had been modulated by the cytoplasmic presence of F^– ions. But in this case, propafenone reduced reopening and selectively abolished a long-lasting open state. This drug action is unlikely related to the inhibitory effect onNP _o since hyperpolarization and the accompanying block attenuation did not restore the channel kinetics. It is concluded that cardiac Na⁺ channels cannot be flicker-blocked by antiarrhythmic drugs unless Na⁺ inactivation is removed.     

Chemically modified cardiac Na+ channels and their sensitivity to antiarrhythmics: Is there a hidden drug receptor?

Elementary Na⁺ currents were recorded at 19°C in inside-out patches from cultured neonatal rat cardiocytes. In analyzing the sensitivity of chemically modified Na⁺ channels to several class 1 antiarrhythmic drugs, the hypothesis was tested that removal of Na⁺ inactivation may be accompanied by a distinct responsiveness to these drugs, open channel blockade.Iodate-modified and trypsin-modified cardiac Na⁺ channels are noninactivating but strikingly differ from each other by their open state kinetics, a O₁–O₂ reaction (_open(1) 1.4±0.3 msec; _open(2) 5.4±1.1 msec; at –40 mV) in the former and a single open state (_{open 3.0±0.5} msec; at –40 mV) in the latter. Lidocaine (150 mol/liter) like propafenone (10 mol/liter), diprafenone (10 mol/liter) and quinidine (20 mol/liter) in cytoplasmic concentrations effective to depress NP _o significantly can interact with both types of noninactivating Na⁺ channels to reduce the dwell time in the conducting configuration. lodate-modified Na⁺ channels became drug sensitive during the O₂ state. At –40 mV, for example, lidocaine reduced _open(2) to 62±5% of the control without detectable changes in _open(1). No evidence could be obtained that these inhibitory molecules would flicker-block the open Na⁺ pore. Drug-induced shortening of the open state, thus, is indicative for a distinct mode of drug action, namely interference with the gating process. Lidocaine proved less effective to reduce _open(2) when compared with the action of diprafenone. Both drugs apparently interacted with individual association rate constants, a_lidocaine was 0.64×10⁶ mol^–1 sec^–1 and a_diprafenone 13.6×10⁶ mol^–1 sec^–1. Trypsin-modified Na⁺ channels also appear capable of discriminating among these antiarrhythmics, the ratio a_diprafenone/a_lidocaine even exceeded the value in iodate-modified Na⁺ channels. Obviously, this antiarrhythmic drug interaction with chemically modified Na⁺ channels is receptor mediated: drug occupation of such a hypothetical hidden receptor that is not available in normal Na⁺ channels may facilitate the exit from the open state.This work was supported by a grant of the Deutsche Forschungsgemeinschaft (Ko 778/2-4), Bonn.     

Internal motions of apo-neocarzinostatin as studied by 13C NMR methine relaxation at natural abundance

Summary Dynamics of the backbone and some side chains of apo-neocarzinostatin, a 10.7 kDa carrier protein, have been studied from ¹³C relaxation rates R1, R2 and steady-state ¹³C-{¹H} NOEs, measured at natural abundance. Relaxation data were obtained for 79 nonoverlapping C resonances and for 11 threonine C single resonances. Except for three C relaxation rates, all data were analysed from a simple two-parameter spectral density function using the model-free approach of Lipari and Szabo. The corresponding C–H fragments exhibit fast (_e < 40 ps) restricted libration motions (S²=0.73 to 0.95). Global examination of the microdynamical parameters S² and _e along the amino acid sequence gives no immediate correlation with structural elements. However, different trends for the three loops involved in the binding site are revealed. The -ribbon comprising residues 37 to 47 is spatially restricted, with relatively large _e values in its hairpin region. The other -ribbon (residues 72 to 87) and the large disordered loop ranging between residues 97–107 experience small-amplitude motions on a much faster (picosecond) time scale. The two N-terminal residues, Ala¹ and Ala², and the C-terminal residue Asn¹¹³, exhibit an additional slow motion on a subnanosecond time scale (400–500 ps). Similarly, the relaxation data for eight threonine side-chain C must be interpreted in terms of a three-parameter spectral density function. They exhibit slower motions, on the nanosecond time scale (500–3000 ps). Three threonine (Thr⁶⁵, Thr⁶⁸, Thr⁸¹) side chains do not display a slow component, but an exchange contribution to the observed transverse relaxation rate R2 could not be excluded at these sites. The microdynamical parameters (S², _e and R2_ex) or (S _infslow ^sup2 , S _inffast ^sup2 and _slow) were obtained from a straightforward solution of the equations describing the relaxation data. They were calculated assuming an overall isotropic rotational correlation time _e for the protein of 5.7 ns, determined using standard procedures from R2/R1 ratios. However, it is shown that the product (1–S²)× _e is nearly independent of _e for residues not exhibiting slow motions on the nanosecond time scale. In addition, this parameter very closely follows the heteronuclear NOEs, which therefore could be good indices for local fast motions on the picosecond time scale.     

Interactions between anion exchange and other membrane proteins in rabbit kidney medullary collecting duct cells

Summary In separated outer medullary collecting duct (MCD) cells, the time course of binding of the fluorescent stilbene anion exchange inhibitor, DBDS (4,4-dibenzamido-2,2-stilbene disulfonate), to the MCD cell analog of band 3, the red blood cell (rbc) anion exchange protein, can be measured by the stopped-flow method and the reaction time constant, _DBDS, can be used to report on the conformational state of the band 3 analog. In order to validate the method we have now shown that the ID_50,DBDS,MCD (0.5±0.1 m) for the H₂-DIDS (4,4-diisothiocyano-2,2-dihydrostilbene disulfonate) inhibition of _DBDS is in agreement with the ID_50,Cl ^–,_MCD (0.94±0.07 m) for H₂-DIDS inhibition of MCD cell Cl^– flux, thus relating _DBDS directly to anion exchange. The specific cardiac glycoside cation transport inhibitor, ouabain, not only modulates DBDS binding kinetics, but also increases the time constant for Cl^– exchange by a factor of two, from _Cl=0.30±0.02 sec to 0.56±0.06 sec (30mm NaHCO₃). The ID_50,DBDS,MCD for the ouabain effect on DBDS binding kinetics is 0.003±0.001 m, so that binding is about an order of magnitude tighter than that for inhibition of rbc K⁺ flux (K _I,K ⁺,_rbc=0.017 m). These experiments indicate that the Na⁺,K^–-ATPase, required to maintain cation gradients across the MCD cell membrane, is close enough to the band 3 analog that conformational information can be exchanged. Cytochalasin E (CE), which binds to the spectrin/actin complex in rbc and other cells, modulates DBDS binding kinetics with a physiological ID_50,DBDS,MCD (0.076±0.005 m); 2 m CE also more than doubles the Cl^– exchange time constant from 0.20±0.04 sec to 0.50±0.08 sec (30mm NaHCO₃). These experiments indicate that conformational information can also be exchanged between the MCD cell band 3 analog and the MCD cell cytoskeleton.     

Single cardiac outwardly rectifying K+ channels modulated by protein kinase A and a G-protein

Elementary K⁺ currents were recorded at 19 °C in cell-attached and in inside-out patches excised from neonatal rat heart myocytes. An outwardly rectifying K⁺ channel which prevented Na⁺ ions from permeating could be detected in about 10% of the patches attaining (at 5 mmol/l external K⁺ and between – 20 mV and + 20 mV) a unitary conductance of 66 +- 3.9 pS. K _{(outw.-rect.)} ⁺ channels have one open and at least two closed states. Open probability and _open rose steeply on shifting the membrane potential in the positive direction, thereby tending to saturate. Open probability (at –7 mV) was as low as 3 ± 1% but increased several-fold on exposing the cytoplasmic surface to Mg-ATP (100 mol/l) without a concomitant change of _open. No channel activation occurred in response to ATP in the absence of cytoplasmic Mg^–+. The cytoplasmic administration of the catalytic subunit of protein kinase A (120–150 /ml) or GTP--S (100 mol/l) caused a similar channel activation. GDP--S (100 mol/l) was also tested and found to be ineffective in this respect. This suggests that cardiac K _{(outw.-rect.)} ⁺ channels are metabolically modulated by both cAMP-dependent phosphorylation and a G-protein. Offprint requests to: M. Kohlhardt     

Evidence for two K+ currents activated upon hyperpolarization ofParamecium tetraurelia

Summary Hyperpolarization of voltage-clampedParamecium tetraurelia in K⁺ solutions elicits a complex of Ca²⁺ and K⁺ currents. The tail current that accompanies a return to holding potential (–40 mV) contains two K⁺ components. The tail current elicited by a step to –110 mV of 50-msec duration contains fast-decaying (3.5 msec) and slow-decaying (20 msec) components. The reversal potential of both components shifts by 55–57 mV/10-fold change in external [K⁺], suggesting that they represent pure K⁺ currents. The dependence of the relative amplitudes of the two tail currents on duration of hyperpolarization suggests that the slow K⁺ current activates slowly and is sustained, whereas the fast current activates rapidly during hyperpolarization and then rapidly inactivates. Iontophoretic injection of a Ca²⁺ chelator, EGTA, specifically reduces slow tail-current amplitude without affecting the fast tail component. Both K⁺ currents are inhibited by extracellular TEA⁺ in a concentration-dependent, noncooperative manner, whereas the fast K⁺ current alone is inhibited by 0.7mm quinidine.     

Isolation and characterization of a Forssman antigen-binding lectin from velvet bean (Mucuna derringiana) seeds

A Forssman antigen (GalNAc1-3GalNAc1-3Gal1-4Gal1-4Glc1-1Cer)-binding lectin has been purified from velvet bean (Mucuna derringiana) seeds by a combination of affinity chromatography and reversed phase HPLC. This lectin agglutinates both native and trypsin-treated sheep erythrocytes as well as trypsinized rabbit erythrocytes, but neither native rabbit nor human erythrocytes, irrespective of blood group type. SDS-PAGE and gel filtration chromatography reveal the lectin to be a homodimer consisting of two 54 kDa subunits linked by non-covalent bonds. The results obtained by quantitative precipitation, haemagglutination inhibition and TLC overlay assays indicate that theMucuna lectin specifically recognizes Forssman antigen and Forssman disaccharide (GalNAc1-3GalNAc)-related structures. Abbreviations: The abbreviations and the trivial names used are: AH, 6-aminohexyl; BSA, bovine serum albumin; Cer, ceramide; HPLC, high performance liquid chromatography; PAGE, polyacrylamide gel electrophoresis; PBS, 10mm phosphate-buffered saline, pH 7,2, containing 0.15m NaCl; PMSF, phenyl methyl sulfonyl fluoride; SDS, sodium dodecyl sulphate; TFA, trifluoroacetic acid; TBS, 20mm tris-buffered saline, pH 7.2; TLC, thin-layer chromatography; A disaccharide, GalNAc1-3Gal; A trisaccharide, GalNAc1-3[Fuc1-2]Gal; Forssman disaccharide, GalNAc1-3GalNAc; CDH (ceramide dihexoside or lactosyl ceramide) Gal1-4Glc1-1Cer (LacCer); CTH (ceramide trihexoside or globotriosyl ceramide), Gal1-4Gal1-4Glc1-1Cer (GbOse₃Cer or Gb₃); globoside (globotetraosyl ceramide), GalNAc1-3Gal1-4Gal1-4Glc1-1Cer (GbOse₄Cer or Gb₄); Forssman antigen (globopentaosyl ceramide), GalNAc1-3GalNAc1-3Gal1-4Gal1-4Glc1-1Cer (GbOse₅Cer).     

Effects of zwitterionic detergents on the electronic structure of the primary donor and the charge recombination kinetics of P+Q A − in native and mutant reaction centers from Rhodobacter sphaeroides

The effects of detergents on the electronic structure of the oxidized primary donor P⁺ and the time constant _AP of the P⁺Q _A ^– charge recombination at ambient temperatures have been investigated in native and mutant reaction centers (RCs) from Rhodobacter sphaeroides. It is shown that N-lauryl-N,N-dimethyl-3-ammonio-1-propane sulfonate (SB12) induces a transition to a second distinct conformation of the RC. In the case of the wild type and the mutant FY(M197), in which a hydrogen bond is introduced to the 2-acetyl group of the dimer half of P that is associated with the M-subunit of the RC, the conformational change causes a more asymmetric spin density distribution between the two bacteriochlorophyll moieties of P⁺ in favor of the L-half. For both types of RCs the time constant _AP depends on the SB12/RC ratio as does the position of the long-wavelength band of P, _max. The increase of _AP by 30 ms and the shift of _max from 866 nm to 851 nm are indicative for the conformational change. In addition, a smaller linear increase of _AP with increasing SB12/RC ratio is superimposed on the variation of _AP due to the conformational change. Similar effects of SB12 on the optical spectra as well as on _AP are also observed for the two heterodimer mutants HL(L173) and HL(M202), in which one of the bacteriochlorophylls of P is replaced by a bacteriopheophytin. There are no clear indications for a correlation of _AP with the localization of the positive charge in P⁺. Furthermore, it is concluded from the dependence of _AP on the SB12/RC ratio that the single-site mutations do not affect the standard free energy difference of the two conformations to a measurable extent.     

Application of the Criterion of Biological Time (τ n /τ0) to the Studies of Embryogenesis in Birds

It was shown on the example of chick embryo that the number ₀ ( _n /₀) can be recommended as a measure of biological time and, for this purpose, the duration of the minimal mitotic cycle during synchronous cleavage divisions should be determined (in minutes) in various avian species. Based on the preliminary data, one can propose the comparability and similarity of the temporal programs of gastrulation and somitogenesis in the chick embryo and embryos of some fish and amphibians.     

Holling's “hungry mantid” model for the invertebrate functional response considered as a Markov process. Part I: The full model and some of its limits

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-D_s/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 - k_T 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 - x_e - 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     

Photocurrent kinetics of purple-membrane sheets bound to planar bilayer membranes

Summary The kinetics of light-driven proton transport by bacteriorhodopsin has been studied in a model system consisting of a planar lipid bilayer membrane to which purple membrane fragments have been attached. After excitation with a 10-nsec laser flash a fast negative current-transient occurs, followed by a positive transient which decays to zero. The time course of the photocurrent may be represented by a sum of four exponentials with time constants ₁= 1.2sec, ₂= 17sec, ₄= 57sec, ₁= 950sec (at 25°C). In a D₂O medium ₂ and ₃ are increased by a factor of 2.6 and 2.9, respectively, whereas ₁ remains unaffected. The observed components of the photocurrent can be correlated to photochemical reaction steps inferred from flash-photometric experiments on the basis of the observed time constants, the activation energies, and the effects of pH and D₂O. From the photocurrent signals information may be obtained on the magnitude of the charge displacement associated with the elementary transitions of the bacteriorhodopsin molecule.     

C4 polymorphism in the dog: Molecular heterogeneity of the C4α and C4γ subunit chains

Using an immunoblotting technique and goat antihuman C4, we observed five distinct electrophoretic variants of C4 in a panel of 60 random dogs. Sodium dodecyl sulfate-polyacrylamide gel electrophoresis analysis of immunoprecipitated C4 showed that dog C4 is composed of three polypeptide subunit chains (, , and ) and that structural variability occurs within the - and -chain regions. Two distinct molecular weight forms of both the C4- ( _A and _B) and C4-( _A and _B) chain were detected. The variant forms of C4 and C4 were found in association with particular C4 allotypes.     

Interrelation between HeLa-S3 cell transfection and hemolysis in red blood cell suspension using pulsed ultrasound of various duty cycles

We have studied the in vitro transfection of a plasmid DNA with the lacZ gene to HeLa-S3 cells and hemolysis in a red blood cell (RBC) suspension under pulsed ultrasound with duty cycles of 10, 20 and 30% using a digital sonifier at a frequency of 20 kHz and an intensity of 6.2 W/cm² on the surface of a horn tip. Cultured HeLa-S3 cells in suspension were exposed to pulsed ultrasound for an apparent exposure time t from 0 to 60 s. HeLa-S3 viability decreased as a single exponential function of the total exposure time t=t with a common time constant =3.8 s for three duty cycles. Transfection was evaluated by counting the number of -galactosidase(-Gal)-positive cells relative to the total number of cells. Pulsed ultrasound provided an enhanced transfer of the -Gal plasmid to HeLa-S3 cells, 3.4-fold as compared with that in the case of the control. The optimal transfection efficiencies were 0.75, 0.80 and 0.74% near t= with =10, 20 and 30%, respectively. The number ratio of -Gal-positive cells to the surviving cells after exposure increased with t according to a modified logistic equation. The degree of hemolysis also increased exponentially with t at a time constant =₀/ for the RBC suspension in physiological saline at a hematocrit concentration of 0.5% with ₀=0.9 s. Thus the total exposure time for the optimal transfection efficiency was , that is, nearly four times of ₀. Hemolysis in the RBC suspension may be a useful model for determining optimal transfection by pulsed ultrasound of various duty cycles.     

Dispersal distance of corn pollen under fluctuating diffusion coefficient

I develop a mechanistic model for pollen dispersal by a generalization of the Brownian motion model. This model provides an explanation as to why the distribution of the dispersal distance is leptokurtic in most organisms. The pollen is assumed to move in a period between and + to the circumference of a circle of radius r that has a center at the current position. The angle of movement is chosen at random. Unlike the conventional Brownian motion model, the step length, r, fluctuates in a stochastic manner, obeying a generalized gamma distribution. The convection flow, i.e., the directional movement of pollen, is also considered. I show that this model is identical to the diffusion model where the dispersal duration weighted by the diffusion coefficient obeys a gamma distribution. Hence, the model is called the gamma model. The solution is given in an explicit form. The model is fitted to six data sets obtained from the literature by maximizing the quasi-likelihood. Another model (the inverse gamma model), which is not a mechanistic model but a phenomenological model, is also fitted to the data to evaluate the validity of the gamma model.     

Modelling endplate currents: dependence on quantum secretion probability and decay of miniature current

Quantification of the time course and amplitude of endplate currents (EPC) was made with respect to dispersion of quanta secretion and to changes in the exponential decay of miniature endplate currents (_mepc). The relationship between RPC amplitude and _mepc follows a double-exponential curve with ₁= 0.3 ms and ₂ = 6 ms. If the amplitude of fully synchronised EPC is taken as 100%, then the loss of EPC amplitude is already 42% with physiological parameters of dispersion (the half-rise and decay constant of distribution of secretion probability = 0.5 ms, _mepc =1 ms). This loss is even more substantial if secretion is more dispersed or miniature endplate currents decay faster. Correspondence to: F. Vyskocil     

Stimulation of phospholipase A2 by auxin in microsomes from suspension-cultured soybean cells is receptor-mediated and influenced by nucleotides

The molecular mechanism of membrane-associated reactions induced by auxin was investigated in membranes isolated from cultured cells of soybean (Glycine max L.). Auxins increased the activity of phospholipase A₂ in microsomes isolated from suspensioncultured soybean cells. The reaction was measured as the accumulation of radioactive lysophosphatidylcholine hydrolyzed from radioactive phosphatidylcholine in membranes which had been prelabelled with [¹⁴-C]choline in vivo. Stimulation by auxin was detectable after 1 min and was auxin-specific in that weak auxins had little effect. Auxin concentrations as low as 2·10^–8 M and up to 2·10⁺³ M -naphthaleneacetic acid already stimulated the phospholipase A₂ activity. Guanosine and adenosine diphosphate at 100 M, if applied during homogenization of cells, completely abolished the stimulation of phospholipase A₂ by auxin and, when applied after homogenization, had no effect. Guanosine and adenosine 5-O-thiotriphosphate, uridine 5-diphosphate, and uridine 5-triphosphate, all at 100 M, had no effect in either treatment, suggesting that only nucleotides entrapped in the vesicles could exert an effect. The effect of auxin on phospholipase A₂ had an optimum at pH 5.5 and was abolished completely by an antibody against the membrane-associated auxin-binding protein from maize coleoptiles, applied after homogenization. This antibody recognized a 22-kDa polypeptide in highly purified plasma membranes from cultured soybean cells. This suggests a receptor function for this auxin-binding protein and a role for a cytosolic nucleotide-binding protein in the activation of phospholipase A₂ by auxin. It is concluded that phospholipase A₂ has a function in plant signal transduction.Abbreviations ABP auxin-binding protein - ATP S adenosine 5-O-thiotriphosphate - 2,4-D 2,4-dichlorophenoxyacetic acid - GTP S guanosine 5-O-(thiotriphosphate) - IgG immunoglobulin G - LPC lysophosphatidylcholine; - -NAA , -naphthaleneacetic acid - PLA₂ phospholipase A₂ We cordially acknowledge the gift of anti-ABP antibody by D. Klämbt and the help by H. Ordowski (both Botanisches Institut, Universität Bonn) with the immunoblotting experiments. This work was supported by the Deutsche Forschungsgemeinschaft.     

Conformational dynamics of the anticodon loop in yeast tRNAPhe as sensed by the fluorescence of wybutine

Conformational and dynamic properties of the anticodon loop of yeast tRNA^Phe were investigated by analyzing the time resolved fluorescence of wybutine serving as a local structural probe adjacent to the anticodon GmAA on its 3 side. The influence of Mg²⁺, important for stabilizing the tertiary structure of tRNA, and of the complementary anticodon s²UUC of E. coli tRNA ₂ ^Glu were investigated.Fluorescence lifetimes and anisotropies were measured with ps time resolution using time correlated single photon counting and a mode locked synchronously pumped and frequency doubled dye laser as excitation source. From the analysis of lifetimes () and rotational relaxation times ( _R ) we conclude that wybutine occurs in various structural states: (i) one stacked conformation where the base has no free mobility and the only rotational motion reflects the mobility of the whole tRNA molecule (=6 ns, _R =19 ns), (ii) an unstacked conformation where the base can freely rotate (=100 ps, _R = 370 ps) and (iii) an intermediary state (=2 ns, _R = 1.6 ns).Under biological conditions, i. e. in the presence of Mg²⁺ and neutral salts, wybutine is found in a stacked and immobile state which is consistent with the crystallographic picture. In the presence of the complementary codon however, as exemplified by the E. coli-tRNA ₂ ^Glu anticodon, our analysis indicates that the codon-anticodon complex exists in an equilibrium of structural states with different rotational mobility of wybutine. The conformation with wybutine freely mobile is the predominant one and suggests that this conformation of the codon-anticodon structure differs from the canonical 3–5 stack.