2,073 research outputs found

    Length-weight relationships of coral reef fishes from the Alacran Reef, Yucatan, Mexico

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    Length-weight relationships were computed for 42 species of coral reef fishes from 14 families from the Alacran Reef (Yucatan, Mexico). A total of 1 892 individuals was used for this purpose. The fish species were caught by different fishing techniques such as fishhooks, harpoons, gill and trawl nets. The sampling period was from March 1998 to January 2000

    Entropy involved in fidelity of DNA replication

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    Information has an entropic character which can be analyzed within the Statistical Theory in molecular systems. R. Landauer and C.H. Bennett showed that a logical copy can be carried out in the limit of no dissipation if the computation is performed sufficiently slowly. Structural and recent single-molecule assays have provided dynamic details of polymerase machinery with insight into information processing. We introduce a rigorous characterization of Shannon Information in biomolecular systems and apply it to DNA replication in the limit of no dissipation. Specifically, we devise an equilibrium pathway in DNA replication to determine the entropy generated in copying the information from a DNA template in the absence of friction. Both the initial state, the free nucleotides randomly distributed in certain concentrations, and the final state, a polymerized strand, are mesoscopic equilibrium states for the nucleotide distribution. We use empirical stacking free energies to calculate the probabilities of incorporation of the nucleotides. The copied strand is, to first order of approximation, a state of independent and non-indentically distributed random variables for which the nucleotide that is incorporated by the polymerase at each step is dictated by the template strand, and to second order of approximation, a state of non-uniformly distributed random variables with nearest-neighbor interactions for which the recognition of secondary structure by the polymerase in the resultant double-stranded polymer determines the entropy of the replicated strand. Two incorporation mechanisms arise naturally and their biological meanings are explained. It is known that replication occurs far from equilibrium and therefore the Shannon entropy here derived represents an upper bound for replication to take place. Likewise, this entropy sets a universal lower bound for the copying fidelity in replication.Comment: 25 pages, 5 figure

    Lifting properties in operator ranges

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    Given a bounded positive linear operator A on a Hilbert space H we consider the semi-Hilbertian space (H, _A), where _A =. On the other hand, we consider the operator range R(A^1/2) with its canonical Hilbertian structure, denoted by R(A^1/2). In this paper we explore the relationship between different types of operators on (H, _A) with classical subsets of operators on R(A^1/2), like Hermitian, normal, contractions, projections, partial isometries and so on. We extend a theorem by M. G. Krein on symmetrizable operators and a result by M. Mbekhta on reduced minimum modulus.Fil: Arias, Maria Laura. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; ArgentinaFil: Corach, Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; ArgentinaFil: Gonzalez, Maria Celeste. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentin

    Thermodynamic framework for information in nanoscale systems with memory

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    This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in Arias-Gonzalez, J. Ricardo. 2017. Thermodynamic Framework for Information in Nanoscale Systems with Memory. The Journal of Chemical Physics 147 (20). AIP Publishing: 205101. doi:10.1063/1.5004793 and may be found at https://doi.org/10.1063/1.5004793."[EN] Information is represented by linear strings of symbols with memory that carry errors as a result of their stochastic nature. Proofreading and edition are assumed to improve certainty although such processes may not be effective. Here, we develop a thermodynamic theory for material chains made up of nanoscopic subunits with symbolic meaning in the presence of memory. This framework is based on the characterization of single sequences of symbols constructed under a protocol and is used to derive the behavior of ensembles of sequences similarly constructed. We then analyze the role of proofreading and edition in the presence of memory finding conditions to make revision an effective process, namely, to decrease the entropy of the chain. Finally, we apply our formalism to DNA replication and RNA transcription finding that Watson and Crick hybridization energies with which nucleotides are branched to the template strand during the copying process are optimal to regulate the fidelity in proofreading. These results are important in applications of information theory to a variety of solid-state physical systems and other biomolecular processes. Published by AIP Publishing.This work was supported by the Spanish Ministry of Economy and Competitiveness (Grant No. MAT2015-71806-R).Arias-Gonzalez, JR. (2017). Thermodynamic framework for information in nanoscale systems with memory. The Journal of Chemical Physics. 147(20):1-10. https://doi.org/10.1063/1.5004793S11014720Bustamante, C., Cheng, W., & Mejia, Y. X. (2011). Revisiting the Central Dogma One Molecule at a Time. Cell, 144(4), 480-497. doi:10.1016/j.cell.2011.01.033Bennett, C. H. (1982). The thermodynamics of computation—a review. International Journal of Theoretical Physics, 21(12), 905-940. doi:10.1007/bf02084158Shannon, C. E. (1948). A Mathematical Theory of Communication. Bell System Technical Journal, 27(3), 379-423. doi:10.1002/j.1538-7305.1948.tb01338.xCover, T. M., & Thomas, J. A. (1991). Elements of Information Theory. Wiley Series in Telecommunications. doi:10.1002/0471200611Bernardi, F., & Ninio, J. (1979). The accuracy of DNA replication. Biochimie, 60(10), 1083-1095. doi:10.1016/s0300-9084(79)80343-0Hopfield, J. J. (1974). Kinetic Proofreading: A New Mechanism for Reducing Errors in Biosynthetic Processes Requiring High Specificity. Proceedings of the National Academy of Sciences, 71(10), 4135-4139. doi:10.1073/pnas.71.10.4135Ninio, J. (1975). Kinetic amplification of enzyme discrimination. Biochimie, 57(5), 587-595. doi:10.1016/s0300-9084(75)80139-8Landauer, R. (1991). Information is Physical. Physics Today, 44(5), 23-29. doi:10.1063/1.881299Arias-Gonzalez, J. R. (2012). Entropy Involved in Fidelity of DNA Replication. PLoS ONE, 7(8), e42272. doi:10.1371/journal.pone.0042272Arias-Gonzalez, J. R. (2017). A DNA-centered explanation of the DNA polymerase translocation mechanism. Scientific Reports, 7(1). doi:10.1038/s41598-017-08038-2Church, G. M., Gao, Y., & Kosuri, S. (2012). Next-Generation Digital Information Storage in DNA. Science, 337(6102), 1628-1628. doi:10.1126/science.1226355Goldman, N., Bertone, P., Chen, S., Dessimoz, C., LeProust, E. M., Sipos, B., & Birney, E. (2013). Towards practical, high-capacity, low-maintenance information storage in synthesized DNA. Nature, 494(7435), 77-80. doi:10.1038/nature11875Breuer, H.-P., Laine, E.-M., Piilo, J., & Vacchini, B. (2016). Colloquium: Non-Markovian dynamics in open quantum systems. Reviews of Modern Physics, 88(2). doi:10.1103/revmodphys.88.021002Arias-Gonzalez, J. R. (2016). Information management in DNA replication modeled by directional, stochastic chains with memory. The Journal of Chemical Physics, 145(18), 185103. doi:10.1063/1.4967335Bustamante, C., Liphardt, J., & Ritort, F. (2005). The Nonequilibrium Thermodynamics of Small Systems. Physics Today, 58(7), 43-48. doi:10.1063/1.2012462SantaLucia, J., & Hicks, D. (2004). The Thermodynamics of DNA Structural Motifs. Annual Review of Biophysics and Biomolecular Structure, 33(1), 415-440. doi:10.1146/annurev.biophys.32.110601.141800Andrieux, D., & Gaspard, P. (2008). Nonequilibrium generation of information in copolymerization processes. Proceedings of the National Academy of Sciences, 105(28), 9516-9521. doi:10.1073/pnas.0802049105Arias-Gonzalez, J. R. (2014). Single-molecule portrait of DNA and RNA double helices. Integr. Biol., 6(10), 904-925. doi:10.1039/c4ib00163jErie, D. A., Yager, T. D., & von Hippel, P. H. (1992). The Single-Nucleotide Addition Cycle in Transcription: a Biophysical and Biochemical Perspective. Annual Review of Biophysics and Biomolecular Structure, 21(1), 379-415. doi:10.1146/annurev.bb.21.060192.002115Brovarets’, O. O., & Hovorun, D. M. (2015). New structural hypostases of the A·T and G·C Watson–Crick DNA base pairs caused by their mutagenic tautomerisation in a wobble manner: a QM/QTAIM prediction. RSC Advances, 5(121), 99594-99605. doi:10.1039/c5ra19971aBrovarets’, O. O., & Hovorun, D. M. (2015). Novel physico-chemical mechanism of the mutagenic tautomerisation of the Watson–Crick-like A·G and C·T DNA base mispairs: a quantum-chemical picture. RSC Advances, 5(81), 66318-66333. doi:10.1039/c5ra11773aIbarra, B., Chemla, Y. R., Plyasunov, S., Smith, S. B., Lázaro, J. M., Salas, M., & Bustamante, C. (2009). Proofreading dynamics of a processive DNA polymerase. The EMBO Journal, 28(18), 2794-2802. doi:10.1038/emboj.2009.219Sydow, J. F., & Cramer, P. (2009). RNA polymerase fidelity and transcriptional proofreading. Current Opinion in Structural Biology, 19(6), 732-739. doi:10.1016/j.sbi.2009.10.009Kunkel, T. A. (2004). DNA Replication Fidelity. Journal of Biological Chemistry, 279(17), 16895-16898. doi:10.1074/jbc.r40000620
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