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Updated: May 30, 2026

Finite Element Modelling of a Cellular Electric Microenvironment
Published on: May 18, 2021
Modulational instability of charge transport in the Peyrard-Bishop-Holstein model
Conrad Bertrand Tabi1, Alidou Mohamadou, Timoléon Crépin Kofané
1Laboratory of Mechanics, Department of Physics, Faculty of Science, University of Yaounde I, PO Box 812, Yaounde, Cameroon. The Abdus Salam International Center For Theoretical Physics, PO Box 586, Strada Costiera 11, I-34014 Trieste, Italy.
Abstract:
We report on modulational instability (MI) on a DNA charge transfer model known as the Peyrard-Bishop-Holstein (PBH) model. In the continuum approximation, the system reduces to a modified Klein-Gordon-Schrödinger (mKGS) system through which linear stability analysis is performed. This model shows some possibilities for the MI region and the study is carried out for some values of the nearest-neighbor transfer integral. Numerical simulations are then performed, which confirm analytical predictions and give rise to localized structure formation. We show how the spreading of charge deeply depends on the value of the charge-lattice-vibrational coupling.
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