Holiday junctions for the model of dna

Holiday junctions for the model of dna

Authors

  • N.M. Xatamov,
  • , N.N. Malikov
  • , M.M.Mamadjanova

Abstract

Annotation. We consider a DNA molecule as a configuration of the Potts model on paths of the
Cayley tree. For this model, we study probability distributions of the Holliday junctions in the DNA
molecules with respect to the new translation-invariant Gibbs measures given in [7]. Each such measure
describes the state (phase) of a set of DNA molecules

References

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Rozikov U.A., Ishankulov F.T. Description of periodic p-harmonic functions on Cayley trees. Nonlinear

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Rozikov U.A. Holliday junctions for the Potts model of DNA. Algebra, Complex Analysis. Springer,

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Khatamov N.M., Malikov N.N. Holliday junctions in the set of DNA molecules for new translationinvariant Gibbs measures of the Potts model. Theoretical and Mathematical Physics, 218(2): 346-356

(2024)

Published

2024-06-06

How to Cite

Xatamov, N., Malikov, N., & Mamadjanova, , M. (2024). Holiday junctions for the model of dna: Holiday junctions for the model of dna. MODERN PROBLEMS AND PROSPECTS OF APPLIED MATHEMATICS, 1(01). Retrieved from https://ojs.qarshidu.uz/index.php/mp/article/view/634

Issue

Section

Mathematical analysis, differential equations and equations of mathematical physics