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Interactions and Conformational Fluctuations in Macromolecular Arrays

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Electrostatic Effects in Soft Matter and Biophysics

Part of the book series: NATO Science Series ((NAII,volume 46))

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Abstract

I will review the work on the equation of state in macromolecular arrays, meaning mostly ordered hexagonal DNA arrays and ordered multilamellar lipid membrane arrays. First I will discuss the interactions between charged macromolecules of different geometrical shape, such as DNA cylinders and planar lipid bilayers, and then develop a statistical mechanical theory for the equation of state that will include also conformational fluctuations of the macromolecules in the array. I will start with a very simple model and then refine it to the extent that the theoretically derived results become comparable with experiments. Further on I will analyze the way bare interactions couple with fluctuations and draw some general conclusions regarding their importance in ordered DNA arrays and ordered multilamellar lipid membrane arrays. The main difference in behaviors of the two systems stems as much from a different internal geometry (1D for polymers vs. 2D for membranes) as well as from the fact that in condensed DNA phases the positional order is short ranged (liquid like) while it is quasi long ranged (smectic) in membrane assemblies. I will conclude by examining the interaction renormalization of the bending moduli of DNA in hexagonal arrays and of lipid membranes in multilamellar arrays. From here I will show that in the low salt limit the effect of conformational fluctuations on the equation of state becomes negligible. In this case the osmotic pressure stemming only from the counterions can account for most of the available experimental data. The lecture will thus give a comprehensive introduction to the equation of state for both types of biological macromolecules under various solution conditions with monovalent salts and counterions.

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Author information

Authors and Affiliations

  1. LPSB — NICHD, National Institutes of Health, 20892-5626, Bethesda, MD, USA

    Rudolf Podgornik

  2. Department of Physics, Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, SI-1000, Ljubljana, Slovenia

    Rudolf Podgornik

  3. Department of Theoretical Physics, J. Stefan Institute, Jamova 39, SI-1000, Ljubljana, Slovenia

    Rudolf Podgornik

Authors
  1. Rudolf Podgornik
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Editor information

Editors and Affiliations

  1. Max-Planck-Institut für Polymerforschung, Mainz, Germany

    Christian Holm

  2. Institut Charles Sadron, C.N.R.S., Strasbourg, France

    Patrick Kékicheff

  3. Department of Physics, University of Ljubljana, Ljubljana, Slovenia

    Rudolf Podgornik

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© 2001 Springer Science+Business Media Dordrecht

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Podgornik, R. (2001). Interactions and Conformational Fluctuations in Macromolecular Arrays. In: Holm, C., Kékicheff, P., Podgornik, R. (eds) Electrostatic Effects in Soft Matter and Biophysics. NATO Science Series, vol 46. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0577-7_12

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  • DOI: https://doi.org/10.1007/978-94-010-0577-7_12

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-0197-0

  • Online ISBN: 978-94-010-0577-7

  • eBook Packages: Springer Book Archive

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