生物分子中能量和电荷的传输和储存模型
Models for energy and charge transport and storage in biomolecules
摘要：
两个模型的能量和电荷的传输和存储在生物分子被认为是。提出了一种基于离散非线性薛定谔方程和DNA碱基对之间长程色散相互作用（LRI）的模型来描述DNA分子的非线性动力学。我们表明，LRI的是负责存在的一个区间的双稳态，两个稳定的固定状态，一个狭窄的，钉扎状态和一个广泛的，移动状态，共存于每个值的总能量。被钉扎和移动状态之间的控制切换的可能性被证明。这种机制对于控制DNA分子中的能量储存和运输可能很重要。另一个模型是提供蛋白质和其他非谐生物分子的非线性激发的描述。我们证明了在高度非谐系统中可以存在Davydov和Boussinesq孤子的束缚态。
英文摘要：
Two models for energy and charge transport and storage in biomolecules are considered. A model based on the discrete nonlinear Schrodinger equation with long-range dispersive interactions (LRI's) between base pairs of DNA is offered for the description of nonlinear dynamics of the DNA molecule. We show that LRI's are responsible for the existence of an interval of bistability where two stable stationary states, a narrow, pinned state and a broad, mobile state, coexist at each value of the total energy. The possibility of controlled switching between pinned and mobile states is demonstrated. The mechanism could be important for controlling energy storage and transport in DNA molecules. Another model is offered for the description of nonlinear excitations in proteins and other anharmonic biomolecules. We show that in the highly anharmonic systems a bound state of Davydov and Boussinesq solitons can exist.
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