57 research outputs found

    On the polynomial integrability of the Hoyer systems

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    Agraïments: The second author is supported by FCT through the project PTDC/MAT/117106/2010 and through CAMGSD, Lisbon.The Hoyer polynomial differential systems depend on nine parameters. We provide necessary conditions in order that these systems have two functionally independent polynomial first integrals. We show that these conditions are not sufficient. Additionally, we illustrate how can be computed the polynomial first integrals of these systems using the Kovalevsky exponents

    Colloquium: Mechanical formalisms for tissue dynamics

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    The understanding of morphogenesis in living organisms has been renewed by tremendous progressin experimental techniques that provide access to cell-scale, quantitative information both on theshapes of cells within tissues and on the genes being expressed. This information suggests that ourunderstanding of the respective contributions of gene expression and mechanics, and of their crucialentanglement, will soon leap forward. Biomechanics increasingly benefits from models, which assistthe design and interpretation of experiments, point out the main ingredients and assumptions, andultimately lead to predictions. The newly accessible local information thus calls for a reflectionon how to select suitable classes of mechanical models. We review both mechanical ingredientssuggested by the current knowledge of tissue behaviour, and modelling methods that can helpgenerate a rheological diagram or a constitutive equation. We distinguish cell scale ("intra-cell")and tissue scale ("inter-cell") contributions. We recall the mathematical framework developpedfor continuum materials and explain how to transform a constitutive equation into a set of partialdifferential equations amenable to numerical resolution. We show that when plastic behaviour isrelevant, the dissipation function formalism appears appropriate to generate constitutive equations;its variational nature facilitates numerical implementation, and we discuss adaptations needed in thecase of large deformations. The present article gathers theoretical methods that can readily enhancethe significance of the data to be extracted from recent or future high throughput biomechanicalexperiments.Comment: 33 pages, 20 figures. This version (26 Sept. 2015) contains a few corrections to the published version, all in Appendix D.2 devoted to large deformation

    Efficient mitochondrial biogenesis drives incomplete penetrance in Leber's hereditary optic neuropathy

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    Leber's hereditary optic neuropathy is a maternally inherited blinding disease caused as a result of homoplasmic point mutations in complex I subunit genes of mitochondrial DNA. It is characterized by incomplete penetrance, as only some mutation carriers become affected. Thus, the mitochondrial DNA mutation is necessary but not sufficient to cause optic neuropathy. Environmental triggers and genetic modifying factors have been considered to explain its variable penetrance. We measured the mitochondrial DNA copy number and mitochondrial mass indicators in blood cells from affected and carrier individuals, screening three large pedigrees and 39 independently collected smaller families with Leber's hereditary optic neuropathy, as well as muscle biopsies and cells isolated by laser capturing from post-mortem specimens of retina and optic nerves, the latter being the disease targets. We show that unaffected mutation carriers have a significantly higher mitochondrial DNA copy number and mitochondrial mass compared with their affected relatives and control individuals. Comparative studies of fibroblasts from affected, carriers and controls, under different paradigms of metabolic demand, show that carriers display the highest capacity for activating mitochondrial biogenesis. Therefore we postulate that the increased mitochondrial biogenesis in carriers may overcome some of the pathogenic effect of mitochondrial DNA mutations. Screening of a few selected genetic variants in candidate genes involved in mitochondrial biogenesis failed to reveal any significant association. Our study provides a valuable mechanism to explain variability of penetrance in Leber's hereditary optic neuropathy and clues for high throughput genetic screening to identify the nuclear modifying gene(s), opening an avenue to develop predictive genetic tests on disease risk and therapeutic strategies.TelethonAssociazione Serena Talarico per i giovani nel mondo and Fondazione Giuseppe Tomasello O.N.L.U.S.Mitocon OnlusResearch to Prevent BlindnessInternational Foundation for Optic Nerve Diseases (IFOND)Struggling Within Leber'sPoincenot FamilyEierman FoundationNational Eye InstituteUniv Rome, Dept Radiol Oncol & Pathol, Rome, ItalyUniv Bologna, Dept Biomed & NeuroMotor Sci DIBINEM, Bologna, ItalyUniv Bari, Dept Biosci Biotechnol & Biopharmaceut, Bari, ItalyBellaria Hosp, IRCCS Ist Sci Neurol Bologna, I-40139 Bologna, ItalyUSC, Keck Sch Med, Dept Ophthalmol, Los Angeles, CA USAUSC, Keck Sch Med, Dept Neurosurg, Los Angeles, CA USAUniv Trieste, Dept Reprod Sci Dev & Publ Hlth, Trieste, ItalyUniv Trieste, IRCCS Burlo Garofolo Children Hosp, Trieste, ItalyNewcastle Univ, Inst Med Genet, Newcastle Upon Tyne NE1 7RU, Tyne & Wear, EnglandFdn Ist Neurol Carlo Besta IRCCS, Unit Mol Neurogenet, Milan, ItalyMRC Mitochondrial Biol Unit, Cambridge, EnglandFed Univ São Paulo UNIFESP, Dept Ophthalmol, São Paulo, BrazilUniv São Paulo, Inst Psychol, Dept Expt Psychol, São Paulo, BrazilStudio Oculist dAzeglio, Bologna, ItalyOsped San Giovanni Evangelista, Tivoli, ItalyAzienda Osped San Camillo Forlanini, Rome, ItalyUniv Rome, Dipartimento Metodi & Modelli Econ Finanza & Terr, Rome, ItalyUniv Rome, Dept Mol Med, Rome, ItalyFed Univ São Paulo UNIFESP, Dept Ophthalmol, São Paulo, BrazilTelethon: GGP06233Telethon: GGP11182Telethon: GPP10005National Eye Institute: EY03040Web of Scienc

    The bc 1 complexes of Rhodobacter sphaeroides and Rhodobacter capsulatus

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    Photosynthetic bacteria offer excellent experimental opportunities to explore both the structure and function of the ubiquinol-cytochrome c oxidoreductase ( bc 1 complex). In both Rhodobacter sphaeroides and Rhodobacter capsulatus , the bc 1 complex functions in both the aerobic respiratory chain and as an essential component of the photosynthetic electron transport chain. Because the bc 1 complex in these organisms can be functionally coupled to the photosynthetic reaction center, flash photolysis can be used to study electron flow through the enzyme and to examine the effects of various amino acid substitutions. During the past several years, numerous mutations have been generated in the cytochrome b subunit, in the Rieske iron-sulfur subunit, and in the cytochrome c 1 subunit. Both site-directed and random mutagenesis procedures have been utilized. Studies of these mutations have identified amino acid residues that are metal ligands, as well as those residues that are at or near either the quinol oxidase (Q o ) site or the quinol reductase (Q i ) site. The postulate that these two Q-sites are located on opposite sides of the membrane is supported by these studies. Current research is directed at exploring the details of the catalytic mechanism, the nature of the subunit interactions, and the assembly of this enzyme.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/44795/1/10863_2004_Article_BF00762582.pd

    The mitochondrial ATP synthase of chlorophycean algae contains eight subunits of unknown origin involved in the formation of an atypical stator-stalk and in the dimerization of the complex

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    peer reviewedMitochondrial F1FO-ATP synthase of Chlamydomonas reinhardtii and Polytomella sp. is a dimer of 1,600,000 Da. In Chlamydomonas the enzyme lacks the classical subunits that constitute the peripheral stator-stalk as well as those involved in the dimerization of the fungal and mammal complex. Instead, it contains eight novel polypeptides named ASA1 to 8. We show that homologs of these subunits are also present in the chlorophycean algae Polytomella sp. and Volvox carterii. Blue Native Gel Electrophoresis analysis of mitochondria from different green algal species also indicates that stable dimeric mitochondrial ATP synthases may be characteristic of all Chlorophyceae. One additional subunit, ASA9, was identified in the purified mitochondrial ATP synthase of Polytomella sp. The dissociation profile of the Polytomella enzyme at high-temperatures and cross-linking experiments finally suggest that some of the ASA polypeptides constitute a stator-stalk with a unique architecture, while others may be involved in the formation of a highly-stable dimeric complex. The algal enzyme seems to have modified the structural features of its surrounding scaffold, while conserving almost intact the structure of its catalytic subunits
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