Partial purification and characterization of an ascorbate-reducible b-type cytochrome from the plasma membrane of Arabidopsis thaliana leaves

Summary.  The plant plasma membrane (PM) contains more than one b-type cytochrome. One of these proteins has a rather high redox potential (can be fully reduced by ascorbate) and is capable of transporting electrons through the PM. Four genes encoding proteins with considerable homology to the sequences of cytochrome b ₅₆₁ proteins in the animal chromaffin granule membrane have recently been identified in the genome of Arabidopsis thaliana. In order to characterize the cytochrome b ₅₆₁ located in the Arabidopsis PM, first PM vesicles were purified by aqueous polymer two-phase partitioning from the leaves of 9-week-old A. thaliana. PM proteins were solubilized by nonionic detergent, and the fully ascorbate-reducible b-type cytochrome was partially purified by anion-exchange chromatography steps. Potentiometric redox titration of the fraction, containing the fully ascorbate-reducible b-type cytochrome after the first anion-exchange chromatography step, revealed the presence of two hemes with redox potentials of 135 mV and 180 mV, respectively. Sodium dodecyl sulfate-polyacrylamide gel electrophoresis of the fractions containing the fully ascorbate-reducible b-type cytochrome after the second anion-exchange chromatography step revealed the presence of a single polypeptide band at about 120 kDa. However, heat treatment (15 min, 90 °C) before electrophoresis was able to split the 120 kDa band into two bands with molecular masses of about 23 and 28 kDa. These values are lower than the apparent molecular mass for the fully ascorbate-reducible b-type cytochrome purified from Phaseolus vulgaris hypocotyls (about 52 kDa) but are in good agreement with those characteristic for the cytochrome b ₅₆₁ proteins purified from chromaffin granule membranes (about 28 kDa) and the four polypeptides predicted from the Arabidopsis genome (24–31 kDa). Received May 4, 2002; accepted July 26, 2002; published online May 21, 2003 RID="*" ID="*" Correspondence and reprints: Institute of Biophysics, BRC, Hungarian Academy of Sciences, POB 521, 6701 Szeged, Hungary.     

Biochemical entities involved in reactive oxygen species generation by human spermatozoa

Summary.  Spermatozoa were the first cell type suggested to generate reactive oxygen species. However, a lack of standardization in sperm preparation techniques and the obfuscating impact of contaminating cell types in human ejaculates have made it difficult to confirm that mammalian germ cells do, in fact, make such reactive metabolites. By identifying, on a molecular level, those entities involved in reactive oxygen species generation and demonstrating their presence in spermatozoa, the role of redox chemistry in the control of sperm function can be elucidated. Two major proteins have apparently been identified in this context, namely, NOX5, a calcium-activated NADPH oxidase, and nitric oxide synthase. Understanding the involvement of these enzymes in sperm physiology is essential if we are to understand the causes of oxidative stress in the male germ line. Received May 2, 2002; accepted July 26, 2002; published online May 21, 2003 RID="*" ID="*" Correspondence and reprints: Discipline of Biological Sciences, University of Newcastle, Callaghan, NSW 2308, Australia.     

Reduction of potassium tellurite to elemental tellurium and its effect on the plasma membrane redox components of the facultative phototroph Rhodobacter capsulatus

Summary.  Anaerobically light-grown cells of Rhodobacter capsulatus B100 are highly resistant to the toxic oxyanion tellurite (TeO₃ ²⁻; minimal inhibitory concentration, 250 μg/ml). This study examines, for the first time, some structural and biochemical features of cells and plasma membrane fragments of this facultative phototroph grown in the presence of 50μg of K₂TeO₃ per ml. Through the use of transmission microscopy and X-ray microanalysis we show that several “needlelike” shaped granules of elemental tellurium are accumulated into the cytosol near the intracytoplasmic membrane system. Flash-spectroscopy, oxygen consumption measurements, and difference spectra analysis indicated that membrane vesicles (chromatophores) isolated from tellurite-grown cells are able to catalyze both photosynthetic and respiratory electron transport activities, although they are characterized by a low c-type cytochrome content (mostly soluble cytochrome c ₂). This feature is paralleled by a low cytochrome c oxidase activity and with an NADH-dependent respiration which is catalyzed by a pathway leading to a quinol oxidase (Qox) inhibited by high (millimolar) concentrations of cyanide (CN⁻). Conversely, membranes from R. capsulatus B100 cells grown in the absence of tellurite are characterized by a branched respiratory chain in which the cytochrome c oxidase pathway (blocked by CN⁻ in the micromolar range) accounts for 35–40% of the total NADH-dependent oxygen consumption, while the remaining activity is catalyzed by the quinol oxidase pathway. These data have been interpreted to show that tellurite resistance of R. capsulatus B100 is characterized by the presence of a modified plasma-membrane-associated electron transport system. Received May 2, 2002; accepted July 26, 2002; published online May 21, 2003 RID="*" ID="*" Correspondence and reprints: Department of Biology, University of Bologna, Via Irnerio 42, 40126 Bologna, Italy.     

Superoxide synthase and dismutase activity of plasma membranes from maize roots

Summary.  Superoxide synthase and superoxide dismutase activity have been monitored in isolated maize (Zea mays) root plasma membranes spectrophotometrically by determination of nitro-blue tetrazolium and cytochrome c reduction, respectively. Superoxide production was induced by NADH and NADPH, with similar kinetics and approaching saturation at 0.06 mM in the case of NADPH and 0.1 mM in the case of NADH, with rates of 18.6 ± 5.0 and 21.8 ± 7.2 nmol/min · mg of protein, respectively. These activities exhibited a broad pH optimum between pH 6.5 and 7.5. Diphenylene iodonium inhibited about 25% (10 μM DPI) and 40% (100 μM DPI) of this activity, imidazole inhibited about 20%, while KCN, a peroxidase inhibitor, did not show any significant inhibition. Superoxide-dismutating activity was shown to occur in the same isolates and depended on the quantity of plasma membrane protein present. Growth of plants on salicylic acid prior to membrane isolation induced a rise in the activity of both of the enzymes by 20–35%, suggesting their coordinated action. Received May 15, 2002; accepted September 30, 2002; published online May 21, 2003 RID="*"     

Existence of traveling wave solutions in a diffusive predator-prey model

 We establish the existence of traveling front solutions and small amplitude traveling wave train solutions for a reaction-diffusion system based on a predator-prey model with Holling type-II functional response. The traveling front solutions are equivalent to heteroclinic orbits in R ⁴ and the small amplitude traveling wave train solutions are equivalent to small amplitude periodic orbits in R ⁴ . The methods used to prove the results are the shooting argument and the Hopf bifurcation theorem. Received: 25 May 2001 / Revised version: 5 August 2002 / Published online: 19 November 2002 RID="*" ID="*" Research was supported by the National Natural Science Foundations (NNSF) of China. RID="*" ID="*" Research was partially supported by the Natural Sciences and Engineering Research Council (NSERC) of Canada. On leave from the Department of Mathematics and Statistics, Dalhousie University, Halifax, Nova Scotia B3H 3J5, Canada. Mathematics Subject Classification (2000): 34C35, 35K57 Key words or phrases: Traveling wave solution – Wazewski set – Shooting argument – Hopf bifurcation Acknowledgements. We would like to thank the two referees for their careful reading and helpful comments.     

Inhibition of neutral Mg2+-dependent sphingomyelinase by ubiquinol-mediated plasma membrane electron transport

Summary.  Sphingomyelin is an abundant constituent of the plasma membranes of mammalian cells. Ceramide, its primary catabolic intermediate, has emerged as an important lipid signaling molecule. Previous work carried out by our group has documented that plasma membrane Mg²⁺-dependent neutral sphingomyelinase can be effectively inhibited by exogenous ubiquinol. In this work, we have tested whether or not plasma-membrane-associated electron transport can also achieve this inhibition through endogenous ubiquinol. Our results have shown that Mg²⁺-dependent neutral sphingomyelinase in isolated plasma membranes was inhibited by NAD(P)H under conditions where ubiquinone is reduced to ubiquinol. This inhibition was potentiated in the presence of an extra amount of NAD(P)H:(quinone acceptor) oxidoreductase 1 (EC 1.6.99.2). Depletion of plasma membranes from lipophilic antioxidants by solvent extraction abolished the inhibition by reduced pyridine nucleotides without affecting the sensitivity of the neutral sphingomyelinase to exogenous ubiquinol. Reconstitution of plasma membranes with ubiquinone restored the ability of NAD(P)H to inhibit the enzyme. Our results support that the reduction of endogenous ubiquinone to ubiquinol by NAD(P)H-driven electron transport may regulate the activity of the plasma membrane neutral sphingomyelinase. Received May 20, 2002; accepted September 20, 2002; published online May 21, 2003 RID="**" ID="**" Present address: Department of Biomedical Engineering, School of Medicine, University of Baltimore, Maryland, U.S.A. RID="*" ID="*" Correspondence and reprints: Departamento de Biología Celular, Fisiología e Inmunología, Facultad de Ciencias, Edificio C-6, Campus Rabanales, Universidad de Córdoba, 14014 Córdoba, Spain.     

A discrete,size-structured model of phytoplankton growth in the chemostat: introduction of inhomogeneous cell division size

 We introduce inhomogeneous, substrate dependent cell division in a time discrete, nonlinear matrix model of size-structured population growth in the chemostat, first introduced by Gage et al. [8] and later analysed by Smith [13]. We show that mass conservation is verified, and conclude that our system admits one non zero globally stable equilibrium, which we express explicitly. Then we run numerical simulations of the system, and compare the predictions of the model to data related to phytoplankton growth, whose obtention we discuss. We end with the identification of several parameters of the system. Received: 9 February 2000 / Revised version: 10 October 2001 / Published online: 23 August 2002 RID="*" ID="*" Present address: Department of Mathematics and Statistics, University of Victoria, B.C., Canada. e-mail: jarino@math.uvic.ca Key words or phrases: Chemostat – Structured population models – Discrete model – Inhomogeneous division size     

Structure prediction for the di-heme cytochrome b561 protein family

Summary.  Atomic models possessing the common structural features identified for the cytochrome b ₅₆₁ (cyt b ₅₆₁) protein family are presented. A detailed and extensive sequence analysis was performed in order to identify and characterize protein sequences in this family of transmembrane electron transport proteins. According to transmembrane helix predictions, all sequences contain 6 transmembrane helices of which 2–6 are located closely in the same regions of the 26 sequences in the alignment. A mammalian (Homo sapiens) and a plant (Arabidopsis thaliana) sequence were selected to build 3-dimensional structures at atomic detail using molecular modeling tools. The main structural constraints included the 2 pairs of heme-ligating His residues that are fully conserved in the family and the lipid-facing sides of the helices, which were also very well conserved. The current paper proposes 3-dimensional structures which to our knowledge are the first ones for any protein in the cyt b ₅₆₁ family. The highly conserved His residues anchoring the two hemes on the cytoplasmic side and noncytoplasmic side of the membrane are in all proteins located in the transmembrane helices 2, 4 and 3, 5, respectively. Several highly conserved amino acids with aromatic side chain are identified between the two heme ligation sites. These residues may constitute a putative transmembrane electron transport pathway. The present study demonstrates that the structural features in the cyt b ₅₆₁ family are well conserved at both the sequence and the protein level. The central 4-helix core represents a transmembrane electron transfer architecture that is highly conserved in eukaryotic species. Received May 12, 2002; accepted September 20, 2002; published online May 21, 2003 RID="*" ID="*" Correspondence and reprints: Institute of Biophysics, Biological Research Centre, P.O. Box 521, 6701 Szeged, Hungary. E-mail: tpali@nucleus.szbk.u-szeged.hu     

Role of reactive oxygen species in the response of barley to necrotrophic pathogens

Summary.  The interactions between Hordeum vulgare (barley) and two fungal necrotrophs, Rhynchosporium secalis and Pyrenophora teres (causal agents of barley leaf scald and net blotch), were investigated in a detached-leaf system. An early oxidative burst specific to epidermal cells was observed in both the susceptible and resistant responses to R. secalis, and later on, a second susceptible-specific burst was observed. Time points of the first and the second burst correlated closely with pathogen contact to the plasma membrane and subsequent cell death, respectively. HO₂ ^•/O₂ ⁻ levels in resistant and susceptible responses to P. teres were limited in comparison. During later stages, HO₂ ^•/O₂ ⁻ was only detected in 2 to 3 epidermal cells immediately adjacent to phenolic browning and cell death observed during the susceptible response. However, H₂O₂ was detected in the majority of mesophyll cells adjacent to the observed lesion caused by P. teres. In contrast to observations during challenge with R. secalis, no direct contact between P. teres and the plasma membrane at sites of reactive oxygen species production was evident. Preinfiltration of leaves with antioxidants prior to challenge with either pathogen had no effect on resistance responses but did limit the growth of the pathogens and inhibit the extent of cell death during susceptible responses. These results suggest a possible role for reactive oxygen species in the induction of cell death during the challenge of a susceptible plant cell with a necrotrophic fungal leaf pathogen. Received May 2, 2002; accepted July 26, 2002; published online May 21, 2003 RID="*" ID="*" Correspondence and reprints: Department of Plant Science, Waite Campus PMB1, University of Adelaide, Glen Osmond, South Australia 5064, Australia.     

Development of a biologically-based controlled growth and differentiation model for developmental toxicology

 A mathematical model is developed with a highly controlled birth and death process for precursor cells. This model is both biologically- and statistically-based. The controlled growth and differentiation (CGD) model limits the number of replications allowed in the development of a tissue or organ and thus, more closely reflects the presence of a true stem cell population. Leroux et al. (1996) presented a biologically-based dose-response model for developmental toxicology that was derived from a partial differential equation for the generating function. This formulation limits further expansion into more realistic models of mammalian development. The same formulae for the probability of a defect (a system of ordinary differential equations) can be derived through the Kolmogorov forward equations due to the nature of this Markov process. This modified approach is easily amenable to the expansion of more complicated models of the developmental process such as the one presented here. Comparisons between the Leroux et al. (1996) model and the controlled growth and differentiation (CGD) model as developed in this paper are also discussed. Received: 8 June 2001 / Revised version: 15 June 2002 / Published online: 26 September 2002 Keywords or phrases: Teratology – Multistate process – Cellular kinetics – Numerical simulation     

The onset of oscillatory dynamics in models of multiple disease strains

 We examine a generalised SIR model for the infection dynamics of four competing disease strains. This model contains four previously-studied models as special cases. The different strains interact indirectly by the mechanism of cross-immunity; individuals in the host population may become immune to infection by a particular strain even if they have only been infected with different but closely related strains. Several different models of cross-immunity are compared in the limit where the death rate is much smaller than the rate of recovery from infection. In this limit an asymptotic analysis of the dynamics of the models is possible, and we are able to compute the location and nature of the Takens–Bogdanov bifurcation associated with the presence of oscillatory dynamics observed by previous authors. Received: 5 December 2001 / Revised version: 5 May 2002 / Published online: 17 October 2002 Keywords or phrases: Infection – Pathogen – Epidemiology – Multiple strains – Cross-immunity – Oscillations – Dynamics – Bifurcations     

A mathematical model of cell-to-cell spread of HIV-1 that includes a time delay

 We consider a two-dimensional model of cell-to-cell spread of HIV-1 in tissue cultures, assuming that infection is spread directly from infected cells to healthy cells and neglecting the effects of free virus. The intracellular incubation period is modeled by a gamma distribution and the model is a system of two differential equations with distributed delay, which includes the differential equations model with a discrete delay and the ordinary differential equations model as special cases. We study the stability in all three types of models. It is shown that the ODE model is globally stable while both delay models exhibit Hopf bifurcations by using the (average) delay as a bifurcation parameter. The results indicate that, differing from the cell-to-free virus spread models, the cell-to-cell spread models can produce infective oscillations in typical tissue culture parameter regimes and the latently infected cells are instrumental in sustaining the infection. Our delayed cell-to-cell models may be applicable to study other types of viral infections such as human T-cell leukaemia virus type 1 (HTLV-1). Received: 18 November 2000 / Published online: 28 February 2003 RID="*" ID="*" Research was partially supported by the NSERC and MITACS of Canada and a start-up fund from the College of Arts and Sciences at the University of Miami. On leave from Dalhousie University, Halifax, Nova Scotia, Canada. Current address: Department of Mathematics, Clarke College, Dubuque, Iowa 52001, USA Key words or phrases: HIV-1 – Cell-to-cell spread – Time delay – Stability – Hopf bifurcation – Periodicity     

Ultrastructure of vascular cambial cell cytokinesis in pine seedlings preserved by cryofixation and substitution

Summary.  Trees depend on the secondary vascular cambium to produce cells for new xylem and phloem. The fusiform cells of this lateral meristem are long and narrow, presenting special challenges for arranging the mitotic spindle and phragmoplast. Fusiform cambial cells of Pinus ponderosa and Pinus contorta were studied by cryofixation and cryosubstitution which preserved ultrastructure and phases of cytokinesis with a resolution not previously attained. Membranous structures including the plasma membrane, tonoplast, and those of other organelles were smooth and unbroken, indicating that they were preserved while the protoplasm was in a fully turgid state. Mitotic spindles separated daughter chromosomes diagonally across the radial width of the cells. The cell plate was initiated at an angle to the cell axis between the anaphase chromosomes by a microtubule array which organized vesicles at the phragmoplast midline. Within the phragmoplast, vesicles initially joined across thin tubular projections and then amalgamated into a tubulo-vesicular network. Axial expansion of the cell plate generated two opposing phragmoplasts connected by a thin, extended bridge of cell plate and cytoplasm that was oriented along the cell axis. In the cytoplasmic bridge trailing each phragmoplast, the callose-rich tubular network gradually consolidated into a fenestrated plate and then a complete cell wall. Where new membrane merged with old, the parent plasmalemma appeared to be loosened from the cell wall and the membranes joined via a short tubulo-vesicular network. These results have not been previously reported in cambial tissue, but the same phases of cytokinesis have been observed in cryofixed root tips and suspension-cultured cells of tobacco. Received February 11, 2002; accepted May 31, 2002; published online October 31, 2002 RID="*" ID="*" Correspondence and reprints: Department of Botany, University of British Columbia, 6270 University Boulevard, Vancouver, BC V6T 1Z4, Canada. Abbreviations: CFS cryofixation and cryosubstitution; ER endoplasmic reticulum; HPF high-pressure freezing; PPB preprophase band.     

Mathematical modelling of pulmonary gas transport

 Equations governing the transport of the gases oxygen and carbon dioxide inside the pulmonary capillaries are written down. By analysing these equations it is predicted that there will be negligible limitation to the transport of oxygen when oxygen concentration takes a normal physiological or higher value. For low values of oxygen concentration, there may be limitation to oxygen transport. It is predicted further that the quantity of carbon dioxide excreted from blood into alveolar gas is dependent on oxygen concentration, with low oxygen concentrations inhibiting the carbon dioxide transport process. The relatively slow reaction involving carbon dioxide in plasma also inhibits the excretion of carbon dioxide. These predictions are verified by solving the whole system of governing equations numerically. Received: 1 May 2002 / Revised version: 20 October 2002 / Published online: 19 March 2003 JPW was supported by a grant from the Engineering and Physical Sciences Research Council of Great Britain. Key words or phrases: Pulmonary gas transport – Haemoglobin – Saturation     

Localization of p210-related proteins in green flagellates and analysis of flagellar assembly in the green alga Dunaliella bioculata with monoclonal anti-p210

Summary.  Recently, p210 was identified as a component of the flagellar basal apparatus in the green flagellate Spermatozopsis similis. In a search for potential homologues to p210, isolated cytoskeletons of several green flagellates were probed with a monoclonal antibody, BAS4.13, against p210. In Western blots, cross-reacting bands in the molecular-mass range of 210 kDa were detected only in the quadriflagellate Spermatozopsis exsultans. As described earlier for S. similis, the flagellar transition region was decorated in Chlamydomonas reinhardtii and several other green flagellates, whereas in the marine alga Dunaliella bioculata the antigen was present in the proximal part of the axoneme. Double immunofluorescence of D. bioculata with an antitubulin antibody further revealed dotlike signals at sites where the probasal bodies are located. Since most of the antigen in D. bioculata was located in the axoneme, deflagellation offered a possibility to study the kinetics of its incorporation during flagellar regeneration. The antigen was only detected after a flagellum reached a length of 3–4 μm and its integration into the growing flagellar proceeded from proximal to distal. A similar delay in the incorporation of the antigen was also observed during flagellar assembly on new basal bodies during cell division. Thus, the antigen of BAS4.13 was incorporated late and from proximal to distal into the growing flagellum. We conclude that the pace and site by which individual proteins are integrated into the flagellum differ greatly. Received February 18, 2002; accepted May 17, 2002; published on line October 31, 2002 RID="*" ID="*" Correspondence and reprints: Botanisches Institut, Universit?t zu K?ln, Gyrhofstrasse 15, 50931 K?ln, Federal Republic of Germany     

Co-variation of plasma sodium,taurine and other amino acid levels in critical illness

Summary.  This study investigates the relationship between changes in plasma sodium and changes in amino acid levels in a patient with post-traumatic sepsis and prolonged critical illness. Ninety-two consecutive measurements were performed at regular intervals over a period of many weeks; these consisted in the determination of full amino-acidograms, plasma sodium and complementary variables. A unique, highly significant inverse correlation between taurine and plasma sodium was found (r² = 0.48, p < 0.001). All other amino acids were unrelated, or much more weakly related, to sodium. Taurine was also strongly and directly related to phosphoethanolamine, glutamate and aspartate. Changes in sodium and in levels of these amino acids explained up to 86% of the variability of taurine. Besides, levels of these amino acids maintained a high degree of co-variation, remaining reciprocally related one to each other, directly, with r² ranging between 0.33 and 0.59 (p < 0.001 for all). There were similar findings for β-alanine, which however was measured inconsistently. These data provide gross clinical evidence of a specific link binding plasma sodium and taurine levels, and may be consistent with occurrence of opposite and interdependent shifts of sodium and taurine between intravascular and extravascular space, to maintain osmoregulation. Co-variation of taurine with the other amino acids may be related to the same phenomenon, and/or to similarities in transport systems and chemical structure, or true metabolic interactions. Received April 16, 2002 Accepted June 19, 2002 Published online November 14, 2002 RID="*" ID="*"  Presented at the 7^th International Congress on Amino Acids and Proteins, Vienna (Austria), August 6–10, 2001. Acknowledgements The authors acknowledge the kind assistance of Mr. Maurizio Cianfanelli, from the Catholic University School of Medicine, Rome, Italy. Authors' address: Dr. Carlo Chiarla, Via Augusto Tebaldi, 19, I-00168 Roma, Italy, E-mail: carlo.chiarla@rm.unicatt.it     

Regeneration of lipophilic antioxidants by NAD(P)H:quinone oxidoreductase 1

Summary.  The aim of this work was to study the activity of NAD(P)H:(quinone acceptor) oxidoreductase 1 (EC 1.6.99.2) in the regeneration of lipophilic antioxidants, alpha-tocopherol, and reduced-coenzyme Q analogs. First, we tested whether or not two isoforms of the NAD(P)H:(quinone acceptor) oxidoreductase 1 designated as “hydrophilic” and “hydrophobic” (H. J. Prochaska and P. Talalay, Journal of Biological Chemistry 261: 1372–1378, 1986) show differential enzyme activities towards hydrophilic or hydrophobic ubiquinone homologs. By chromatography on phenyl Sepharose, we purified the two isoforms from pig liver cytosol and measured their reduction of several ubiquinone homologs of different side chain length. We also studied by electron paramagnetic resonance the effect of NAD(P)H:(quinone acceptor) oxidoreductase 1 on steady-state levels of chromanoxyl radicals generated by linoleic acid and lipooxygenase and confirmed the enzyme's ability to protect alpha-tocopherol against oxidation induced with H₂O₂-Fe²⁺. Our results demonstrated that the different hydrophobicities of the isoforms do not reflect different reactivities towards ubiquinones of different side chain length. In addition, electron paramagnetic resonance studies showed that in systems containing the reductase plus NADH, levels of chromanoxyl radicals were dramatically reduced. Morever, in the presence of oxidants, alpha-tocopherol was preserved by NAD(P)H:(quinone acceptor) oxidoreductase 1, supporting our hypothesis that regeneration of alpha-tocopherol may be one of the physiologic functions of this enzyme. Received May 20, 2002; accepted September 20, 2002; published online May 21, 2003 RID="*" ID="*" Correspondence and reprints: Departamento de Biología Celular, Fisiología e Inmunología, Facultad de Ciencias, Edificio Severo Ochoa, Campus de Rabanales, Universidad de Córdoba, 14014 Córdoba, Spain.     

Monotone travelling fronts in an age-structured reaction-diffusion model of a single species

 We consider a partially coupled diffusive population model in which the state variables represent the densities of the immature and mature population of a single species. The equation for the mature population can be considered on its own, and is a delay differential equation with a delay-dependent coefficient. For the case when the immatures are immobile, we prove that travelling wavefront solutions exist connecting the zero solution of the equation for the matures with the delay-dependent positive equilibrium state. As a perturbation of this case we then consider the case of low immature diffusivity showing that the travelling front solutions continue to persist. Our findings are contrasted with recent studies of the delayed Fisher equation. Travelling fronts of the latter are known to lose monotonicity for sufficiently large delays. In contrast, travelling fronts of our equation appear to remain monotone for all values of the delay. Received: 1 November 2001 / Revised version: 10 May 2002 / Published online: 23 August 2002 Mathematics Subject Classification (2000): 35K57, 92D25 Key words or phrases: Age-structure – Time-delay – Travelling Fronts – Reaction-diffusion     

Localization of sucrose synthase and callose in freeze-substituted secondary-wall-stage cotton fibers

Summary.  Methods for cryogenic fixation, freeze substitution, and embedding were developed to preserve the cellular structure and protein localization of secondary-wall-stage cotton (Gossypium hirsutum L.) fibers accurately for the first time. Perturbation by specimen handling was minimized by freezing fibers still attached to a seed fragment within 2 min after removal of seeds from a boll still attached to the plant. These methods revealed native ultrastructure, including numerous active Golgi bodies, multivesicular bodies, and proplastids. Immunolocalization in the context of accurate structure was accomplished after freeze substitution in acetone only. Quantitation of immunolabeling identified sucrose synthase both near the cortical microtubules and plasma membrane and in a proximal exoplasmic zone about 0.2 μm thick. Immunolabeling also showed that callose (β-1,3-glucan) was codistributed with sucrose synthase within this exoplasmic zone. Similar results were obtained from cultured cotton fibers. The distribution of sucrose synthase is consistent with its having a dual role in cellulose and callose synthesis in secondary-wall-stage cotton fibers. Received August 19, 2002; accepted November 12, 2002; published online June 13, 2003 RID="*" ID="*" Correspondence and reprints: Department of Biological Sciences, Texas Tech University, Lubbock, TX 79409-3131, U.S.A. E-mail: candace.haigler@ttu.edu     

Postmeiotic cytokinesis and pollen aperture number determination in eudicots: effect of the cleavage wall number

Summary.  In eudicot postmeiotic tetrads, apertures are usually joined in pairs in highly conserved areas. These appear to be located at the last points of contact persisting at the end of cytokinesis between the cytoplasm of the future microspores. In order to investigate the relationship between cytokinesis and aperture formation, aperture distribution within postmeiotic tetrads and the progression of meiosis were studied in Nicotiana tabacum cv. Ambalema. This variety (inbred line) produces about 85% tricolporate pollen and 15% tetracolporate pollen grains. In addition, about 7% of tetrads are composed of four equal-sized microspores and a supernumerary pseudomicrospore of small size and an equal proportion of tetrads exhibit unpaired apertures (these apertures are not joined in pairs within tetrads). Observation of cytokinesis indicates that both unpaired apertures and pseudomicrospores could result from the persistence of late communications between microsporocytes. Observations of tetrads indicate that an increase in the number of elements that are separated during cytokinesis is correlated with an increase in microspore aperture number. All data converge to support the hypothesis that aperture site determination is partly controlled by the number of walls formed to separate the different elements of the tetrad. Received May 22, 2002; accepted October 29, 2002; published online April 2, 2003 RID="*" ID="*" Correspondence and reprints: Laboratoire de Ecologie, Systematique et Evolution, Batiment 362, Université Paris Sud, 91405 Orsay cedex, France.