Sine-Gordon Solitons, Kinks and Breathers as Physical Models of Nonlinear Excitations in Living Cellular Structures
Abstract
Nonlinear space-time dynamics, defined in terms of celebrated 'solitonic' equations, brings indispensable tools for understanding, prediction and control of complex behaviors in both physical and life sciences. In this paper, we review sine-Gordon solitons, kinks and breathers as models of nonlinear excitations in complex systems in physics and in living cellular structures, both intra-cellular (DNA, protein folding and microtubules) and inter-cellular (neural impulses and muscular contractions). Key words: Sine-Gordon solitons, kinks and breathers, DNA, Protein folding, Microtubules, Neural conduction, Muscular contraction
- Publication:
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arXiv e-prints
- Pub Date:
- May 2013
- DOI:
- 10.48550/arXiv.1305.0613
- arXiv:
- arXiv:1305.0613
- Bibcode:
- 2013arXiv1305.0613I
- Keywords:
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- Quantitative Biology - Other Quantitative Biology;
- Nonlinear Sciences - Pattern Formation and Solitons
- E-Print:
- 55 pages, 11 figures, Latex. arXiv admin note: text overlap with arXiv:quant-ph/9512021, arXiv:hep-ph/9505401, arXiv:nlin/0205044, arXiv:cond-mat/0209427, arXiv:cond-mat/9906020, arXiv:patt-sol/9809011 by other authors