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An elastic rod model to evaluate effects of ionic concentration on equilibrium configuration of DNA in salt solution

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Abstract

As a coarse-gained model, a super-thin elastic rod subjected to interfacial interactions is used to investigate the condensation of DNA in a multivalent salt solution. The interfacial traction between the rod and the solution environment is determined in terms of the Young–Laplace equation. Kirchhoff’s theory of elastic rod is used to analyze the equilibrium configuration of a DNA chain under the action of the interfacial traction. Two models are established to characterize the change of the interfacial traction and elastic modulus of DNA with the ionic concentration of the salt solution, respectively. The influences of the ionic concentration on the equilibrium configuration of DNA are discussed. The results show that the condensation of DNA is mainly determined by competition between the interfacial energy and elastic strain energy of the DNA itself, and the interfacial traction is one of forces that drive DNA condensation. With the change of concentration, the DNA segments will undergo a series of alteration from the original configuration to the condensed configuration, and the spiral-shape appearing in the condensed configuration of DNA is independent of the original configuration.

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Acknowledgements

Support of the National Nature Science Foundation of China through Grant No. 11172130 is gratefully acknowledged.

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Authors and Affiliations

  1. State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, People’s Republic of China

    Ye Xiao, Zaixing Huang & Shengnan Wang

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  1. Ye Xiao
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  2. Zaixing Huang
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  3. Shengnan Wang
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Correspondence to Zaixing Huang.

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Xiao, Y., Huang, Z. & Wang, S. An elastic rod model to evaluate effects of ionic concentration on equilibrium configuration of DNA in salt solution. J Biol Phys 40, 179–192 (2014). https://doi.org/10.1007/s10867-014-9344-1

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  • DOI: https://doi.org/10.1007/s10867-014-9344-1

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