Sine-Gordon Solitons, Kinks and Breathers as Physical Models of\n Nonlinear Excitations in Living Cellular Structures

2013/05/02 by Vladimir G. Ivancevic, Ivancevic, Vladimir G., Tijana T. Ivancevic +1 · 1 citation
Engineering · Physics and Astronomy · #Advanced Fiber Optic Sensors #FOS: Biological sciences #FOS: Physical sciences #Mechanical and Optical Resonators #Other Quantitative Biology (q-bio.OT) #Pattern Formation and Solitons (nlin.PS)

paper · pdf · doi:10.48550/arxiv.1305.0613

openalex publication_date 2013/05/02 · openalex created_date 2022/08/09 · openalex updated_date 2026/07/28

Abstract

Nonlinear space-time dynamics, defined in terms of celebrated 'solitonic'\nequations, brings indispensable tools for understanding, prediction and control\nof complex behaviors in both physical and life sciences. In this paper, we\nreview sine-Gordon solitons, kinks and breathers as models of nonlinear\nexcitations in complex systems in physics and in living cellular structures,\nboth intra-cellular (DNA, protein folding and microtubules) and inter-cellular\n(neural impulses and muscular contractions).\n Key words: Sine-Gordon solitons, kinks and breathers, DNA, Protein folding,\nMicrotubules, Neural conduction, Muscular contraction\n

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• Parametric Resonance in the Non-Autonomous Sine-Gordon Model

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