Abstract
We propose a spin-like model of DNA nonlinear dynamics with long-range interactions between adjacent base pairs. We show that the model equation is a modified sine-Gordon equation. We perform the linear stability analysis of a plane wave, which predicts high-amplitude and extended oscillating waves for high values of the long-range parameter. This is confirmed numerically and biological implications of the obtained patterns are suggested.
| Original language | English |
|---|---|
| Pages (from-to) | 327-332 |
| Number of pages | 6 |
| Journal | European Physical Journal E |
| Volume | 32 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Jul 1 2010 |
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All Science Journal Classification (ASJC) codes
- Materials Science(all)
- Surfaces and Interfaces
- Chemistry(all)
- Biophysics
- Biotechnology
- Medicine(all)
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Long-range interactions and wave patterns in a DNA model. / Tabi, C. B.; Mohamadou, A.; Kofané, T. C.
In: European Physical Journal E, Vol. 32, No. 3, 01.07.2010, p. 327-332.Research output: Contribution to journal › Article
TY - JOUR
T1 - Long-range interactions and wave patterns in a DNA model
AU - Tabi, C. B.
AU - Mohamadou, A.
AU - Kofané, T. C.
PY - 2010/7/1
Y1 - 2010/7/1
N2 - We propose a spin-like model of DNA nonlinear dynamics with long-range interactions between adjacent base pairs. We show that the model equation is a modified sine-Gordon equation. We perform the linear stability analysis of a plane wave, which predicts high-amplitude and extended oscillating waves for high values of the long-range parameter. This is confirmed numerically and biological implications of the obtained patterns are suggested.
AB - We propose a spin-like model of DNA nonlinear dynamics with long-range interactions between adjacent base pairs. We show that the model equation is a modified sine-Gordon equation. We perform the linear stability analysis of a plane wave, which predicts high-amplitude and extended oscillating waves for high values of the long-range parameter. This is confirmed numerically and biological implications of the obtained patterns are suggested.
UR - http://www.scopus.com/inward/record.url?scp=77955713580&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77955713580&partnerID=8YFLogxK
U2 - 10.1140/epje/i2010-10627-x
DO - 10.1140/epje/i2010-10627-x
M3 - Article
VL - 32
SP - 327
EP - 332
JO - European Physical Journal E
JF - European Physical Journal E
SN - 1292-8941
IS - 3
ER -