0000000000133569

AUTHOR

Gil Bor

showing 2 related works from this author

Testing the Domino Theory of Gene Loss in Buchnera aphidicola: The Relevance of Epistatic Interactions

2018

The domino theory of gene loss states that when some particular gene loses its function and cripples a cellular function, selection will relax in all functionally related genes, which may allow for the non-functionalization and loss of these genes. Here we study the role of epistasis in determining the pattern of gene losses in a set of genes participating in cell envelope biogenesis in the endosymbiotic bacteria Buchnera aphidicola. We provide statistical evidence indicating pairs of genes in B. aphidicola showing correlated gene loss tend to have orthologs in Escherichia coli known to have alleviating epistasis. In contrast, pairs of genes in B. aphidicola not showing correlated gene loss…

0301 basic medicinemedicine.disease_causeGenomeGeneral Biochemistry Genetics and Molecular BiologyArticlegene interactions03 medical and health sciencesmedicinecorrelated evolutionlcsh:Sciencegenome reductionEscherichia coliGeneEcology Evolution Behavior and SystematicsGeneticsbiologyPaleontologybiology.organism_classification030104 developmental biologySpace and Planetary Scienceendosymbiotic bacteriaProteomeEpistasislcsh:QBuchneraBiogenesisFunction (biology)Life
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Bicycle paths, elasticae and sub-Riemannian geometry

2020

We relate the sub-Riemannian geometry on the group of rigid motions of the plane to `bicycling mathematics'. We show that this geometry's geodesics correspond to bike paths whose front tracks are either non-inflectional Euler elasticae or straight lines, and that its infinite minimizing geodesics (or `metric lines') correspond to bike paths whose front tracks are either straight lines or `Euler's solitons' (also known as Syntractrix or Convicts' curves).

Mathematics - Differential GeometryGeodesicGeneral Physics and AstronomyGeometryRiemannian geometry01 natural sciencessymbols.namesakeMathematics - Metric GeometryClassical Analysis and ODEs (math.CA)FOS: Mathematics0101 mathematicsMathematical PhysicsMathematics53C17 (Primary) 53A17 53A04 (Secondary)Group (mathematics)Plane (geometry)Applied Mathematics010102 general mathematicsMetric Geometry (math.MG)Statistical and Nonlinear Physics010101 applied mathematicsDifferential Geometry (math.DG)Mathematics - Classical Analysis and ODEsMetric (mathematics)Euler's formulasymbolsNonlinearity
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