Alain Mvogoa, Germain H. Ben-Bolieb c, Timoléon C. Kofanéc d
a Laboratory of Biophysics, Department of Physics, Faculty of Science, University of Yaounde I; b Laboratory of Nuclear Physics, Department of Physics, Faculty of Science, University of Yaounde I; c Centre d'Excellence Africain en Technologies de l'Information et de la Communication, University of Yaounde I; d Laboratory of Mechanics, Department of Physics, Faculty of Science, University of Yaounde I, P. O. Box 812, Yaounde, Cameroon
Abstract The modulational instability in the three coupled α-polypeptide chains of a collagen molecule is investigated. Choosing symmetric and asymmetric solutions, and applying the so-called rotating-wave approximation, we describe the dynamics of the system by the discrete nonlinear Schrödinger (DNLS) equation. The linear stability analysis of the continuous wave solution is performed. The numerical simulations show the generation of trains of solitonic structures in the lattice with increasing amplitude as time progresses. The effect of damping and noise forces of the physiological temperature (T=300 K) introduces an erratic behavior to the formed patterns, reinforcing the idea that the energy used in metabolic processes is confined to specific regions for efficiency.
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