Donor-acceptor electron transport mediated by solitons

Abstract

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Long-range donor-acceptor electron transport mediated by α helices

“…In the present paper we study the possibility of a coherent long-range electron transport in the system Donor-α-helix-Acceptor. As one can expect, the formation of the soliton on the α-helix depends on the initial conditions of the electron tunnelling to the boundary of the helix, as well as on the parameters of the system under study (see e.g., [14,15,16]), and we can find conditions which lead to the formation of a soliton on the helix.…”

“…The model we present here is a combination of the polaron model of the α-helix which was described in detail in [12] and of the donor-acceptor model described in [14]. The first model describes polarons on an α-helix, instead of using the traditional single chain, proposed by Davydov [8,9], which corresponds to what we call a strand in this paper.…”

“…The results mentioned above have been obtained for isolated strands or helices, while in reality, the electron transport occurs in the system Donor-Bridge-Acceptor, as is the case of the ET chain in the Krebs cycles. The simple case when the bridge is modelled as a polypeptide strand had been studied in [14]. It was shown there that the long-range ET can be provided by the soliton mechanism within a wide range of parameter values of donor, acceptor and polypeptide strands.…”

Semi-discrete integrable nonlinear Schrödinger system with background-controlled inter-site resonant coupling

“…Copyright: the authors transmission lines [36], to the modeling of soliton-mediated energy and charge transport in macromolecules [9,17,18,47] as well as to the theoretical treatment of experimentally observed light patterns in the cross-sections of coupled optical fibers [14,22].…”

Semidiscrete Integrable Nonlinear Schrӧdinger System with Background-Controlled Intersite Resonant Coupling. Short Summary of Key Properties

“…The semidiscrete integrable nonlinear Schrödinger systems on one-dimensional or quasi-one-dimensional lattices [1-5, 13, 26, 29, 30, 43] play a significant role in modeling a wide variety of phenomena from various branches of physics, inasmuch as they might give us a clue what type of nonlinear excitations could be expected, when considering real physical situations. It is sufficient to mention that the concept of nonlinear excitations related to one or another model of nonlinear Schrödinger type is applicable to the investigation of nonlinear effects in discrete electric transmission lines [19], to the modeling of soliton-mediated energy and charge transport in macromolecules [6,9,10,23], as well as to the theoretical treatment of experimentally observed light patterns in the cross-sections of coupled optical fibers [7,12].…”