Modulational instability in the anharmonic Peyrard-Bishop model of DNA

被引：28
|
作者：
Tabi, C. B. [1 ,2 ]
Mohamadou, A. [1 ,3 ]
Kofane, T. C. [1 ]
机构：
[1] Univ Yaounde I, Fac Sci, Dept Phys, Lab Mech, Yaounde, Cameroon
[2] African Inst Math Sci, ZA-7945 Muizenberg, South Africa
[3] Univ Douala, Fac Sci, Dept Phys, Condensed Matter Lab, Douala, Cameroon
来源：
EUROPEAN PHYSICAL JOURNAL B | 2010年 / 74卷 / 02期
关键词：
BASE-ROTATOR MODEL; DOUBLE HELICES; NONLINEAR MODEL; TOPOLOGICAL SOLITONS; ENERGY LOCALIZATION; DENATURATION; DYNAMICS; EXCITATIONS; TRANSITION; LATTICES;
D O I：
10.1140/epjb/e2010-00062-1
中图分类号：
O469 [凝聚态物理学];
学科分类号：
070205 ;
摘要：
We report on the presence of modulational instability and the generation of soliton-like excitations in DNA nucleotides. Taking the Peyrard-Bishop-Dauxois model of DNA dynamics as an example, we show that the original difference equation for the DNA dynamics can be reduced to the Salerno equation. We derive the MI criterion in this case. The effect of the anharmonic stacking term on the domain of instability/stability is pointed out. Numerical simulations show the validity of the analytical approach with the generation of wave packets provided that the wave numbers fall in the instability domain. The impact of the anharmonic stacking interactions is investigated and these are found to give rise to a spectrum of behaviours which corroborates experimental facts.
引用
收藏
页码：151 / 158
页数：8
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