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Georgiev, Danko D.; Glazebrook, James F.

On the quantum dynamics of Davydov solitons in protein \(\alpha\)-helices. (English) Zbl 1514.92075

Physica A 517, 257-269 (2019).
Summary: The transport of energy inside protein \(\alpha\)-helices is studied by deriving a system of quantum equations of motion from the Davydov Hamiltonian with the use of the Schrödinger equation and the generalized Ehrenfest theorem. Numerically solving the system of quantum equations of motion for different initial distributions of the amide I energy over the peptide groups confirmed the generation of both moving or stationary Davydov solitons. In this simulation the soliton generation, propagation, and stability were found to be dependent on the symmetry of the exciton-phonon interaction Hamiltonian and the initial site of application of the exciton energy.

Cited in 5 Documents

MSC:

92D20 Protein sequences, DNA sequences
35Q92 PDEs in connection with biology, chemistry and other natural sciences

Keywords:

Davydov soliton; numerical simulation; protein \(\alpha\)-helix; quantum dynamics; stability
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References:

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