TY - JOUR
T1 - Nonlinear model of the DNA molecule
AU - Techera, Mario
AU - Daemen, L. L.
AU - Prohofsky, E. W.
PY - 1989
Y1 - 1989
N2 - We study a simple nonlinear model that mimics many features of the DNA molecule, where the source of the nonlinearity is the hydrogen bonds between nucleotides. We find an asymptotic solution of the equations of motion in the limit of small amplitudes. For an arbitrary initial condition, however, the equations of motion have to be integrated numerically. In this case we find essentially two different regimes, one in which an initial pulselike disturbance is pinned, and another one in which it propagates along the chain. In this latter case, propagation is a linear effect, in which the nonlinearity plays little role.
AB - We study a simple nonlinear model that mimics many features of the DNA molecule, where the source of the nonlinearity is the hydrogen bonds between nucleotides. We find an asymptotic solution of the equations of motion in the limit of small amplitudes. For an arbitrary initial condition, however, the equations of motion have to be integrated numerically. In this case we find essentially two different regimes, one in which an initial pulselike disturbance is pinned, and another one in which it propagates along the chain. In this latter case, propagation is a linear effect, in which the nonlinearity plays little role.
UR - http://www.scopus.com/inward/record.url?scp=0010816883&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.40.6636
DO - 10.1103/PhysRevA.40.6636
M3 - Article
AN - SCOPUS:0010816883
SN - 1050-2947
VL - 40
SP - 6636
EP - 6642
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 11
ER -