Bubble coalescence in interacting system of DNA molecules

被引:1
作者
Rozikov, U. A. [1 ,2 ,3 ]
机构
[1] V I Romanovskiy Inst Math, 9 Univ St, Tashkent 100174, Uzbekistan
[2] AKFA Univ, Natl Pk St,Barkamol MFY Mirzo Ulugbek Dist, Tashkent 111221, Uzbekistan
[3] Natl Univ Uzbekistan, 4 Univ St, Tashkent 100174, Uzbekistan
关键词
DNA; bubble; configuration; Cayley tree; Gibbs measure; Potts model; POTTS-MODEL; GIBBS MEASURES; EXTREMALITY;
D O I
10.1142/S1793524523500389
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
We consider two models of interacting DNA molecules: First is (four parametric) bubble coalescence model in interacting DNAs (shortly: BCI-DNA). Second is (three parametric) bubble coalescence model in a condensed DNA molecules (shortly BCC-DNA). To study bubble coalescence thermodynamics of BCI-DNA and BCC-DNA models we use methods of statistical physics. Namely, we define Hamiltonian of each model and give their translation-invariant Gibbs measures (TIGMs). For the first model, we find parameters such that corresponding Hamiltonian has up to three TIGMs (three phases of system) biologically meaning existence of three states: "No bubble coalescence", "Dominated soft zone", "Bubble coalescence". For the second model, we show that for any (admissible) parameters, this model has unique TIGM. This is a state where "No bubble coalescence" phase dominates.
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页数:22
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