Abstract
Macromolecules and their aggregates (such as protein bundles in biomembranes) possess polar modes which, when excited, tend to deform the system and call into play elastic restoring forces. A model of such systems, characterised typically by electric polarisation modes stabilised on the one hand by quartic self-interactions and on the other through coupling to the elastic deformations, admits the possibility of localised excitations (solitary waves) propagating with subsonic velocities, possessing the features of relative stability and efficient transport characteristics (associated with the collective nature of the phenomena), and at the same time provides a mechanism of control and variability which could be of considerable interest in biology.
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Bhaumik, D., Dutta-Roy, B. & Lahiri, A. Solitary waves and macromolecular systems. Bltn Mathcal Biology 44, 705–713 (1982). https://doi.org/10.1007/BF02462278
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DOI: https://doi.org/10.1007/BF02462278