Energy transport by lattice solitons inα-helical proteins

1989 ◽  
Vol 40 (5) ◽  
pp. 2602-2610 ◽  
Author(s):  
D. Hochstrasser ◽  
F. G. Mertens ◽  
H. Büttner
Keyword(s):  
Energy Transport ◽  
Helical Proteins

Solitary waves in an inhomogeneous chain of α-helical proteins

2014 ◽  
Vol 28 (17) ◽  
pp. 1450109 ◽  
Author(s):  
Alain Mvogo ◽  
G. H. Ben-Bolie ◽  
T. C. Kofané
Keyword(s):  
Solitary Waves ◽  
Energy Transport ◽  
Classical Lattice ◽  
Nls Equation ◽  
Model Hamiltonian ◽  
Helical Proteins ◽  
Periodic Inhomogeneities ◽  
Cosine Functions ◽  
The Continuum ◽  
Localized Form

The dynamics of Davydov's model of α-helical proteins is considered by including the influence of inhomogeneities in the monomer units. Using the D2 ansatz for the exciton–phonon quantum state, the model Hamiltonian is transformed into a pair of classical lattice equations, which is further reduced in the continuum limit to a sole perturbed nonlinear Schrödinger (NLS) equation. The results of the perturbation theory of this equation show that the inhomogeneities in the localized form do not affect the velocity and amplitude of the solitary waves during propagation. We employ also the sine–cosine functions method to construct the exact solitary wave solutions in the presence of a variety of nonlinear inhomogeneities such as biquadratic, exponential and periodic inhomogeneities and it reveals that the coherent energy transport in the α-helical proteins is very much influenced by these nonlinear inhomogeneities.

Energy, transport, and consumption in the Industrial Revolution

2019 ◽  
Vol 42 ◽  
Author(s):  
Joseph A. Tainter ◽  
Temis G. Taylor
Keyword(s):  
Mass Production ◽  
Industrial Revolution ◽  
Energy Transport ◽  
Underlying Assumption

Abstract We question Baumard's underlying assumption that humans have a propensity to innovate. Affordable transportation and energy underpinned the Industrial Revolution, making mass production/consumption possible. Although we cannot accept Baumard's thesis on the Industrial Revolution, it may help explain why complexity and innovation increase rapidly in the context of abundant energy.

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