Two Reasons Why the Davydov Soliton May Be Thermally Stable After All

Cruzeiro, Leonor

doi:10.1103/physrevlett.73.2927

Cited by 68 publications

(57 citation statements)

References 38 publications

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“…Instead of traveling in a coherent manner, it follows a stochastic, diffusional path along the lattice. In other words, the single-vibron Davydov soliton does not last long enough to be useful at biological temperatures and it has been shown that two-vibron solitons are more stable and appear as good candidates for bioenergy transport [31,32]. However, recent calculations performed by Ivic et al [9] clearly show that the multivibron soliton lifetime is of about a few picoseconds, i.e.…”

Section: Introductionmentioning

confidence: 93%

Relaxation channels of two-vibron bound states in α-helix proteins

Pouthier

Falvo

2004

Phys. Rev. E

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Relaxation channels for two-vibron bound states in an anharmonic α-helix protein are studied. According to a recently established small polaron model [V. Pouthier, Phys. Rev. E68, 021909 (2003)], it is pointed out that the relaxation originates in the interaction between the dressed anharmonic vibrons and the remaining phonons. This interaction is responsible for the occurrence of transitions between two-vibron eigenstates mediated by both phonon absorption and phonon emission. At biological temperature, it is shown that the relaxation rate does not significantly depends on the nature of the two-vibron state involved in the process. Therefore, the lifetime for both bound and free states is of the same order of magnitude and ranges between 0.1 and 1.0 ps for realistic parameters. By contrast, the relaxation channels strongly depend on the nature of the two-vibron states which is a consequence of the breather-like behavior of the two-vibron bound states.

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Section: Introductionmentioning

confidence: 93%

Relaxation channels of two-vibron bound states in α-helix proteins

Pouthier

Falvo

2004

Phys. Rev. E

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“…Some numerical simulations indicated that the Davydov soliton is not stable at the biological temperature of 300 K [62][63][64][65][66][67][68][69][70][71][72][73][74][75][76][77][78][79][80]. Other simulations indicated that the Davydov soliton was stable at 300 K [30][31][32][33][34][35][36][37][38][39], but they were based on the classical equations of motion which were likely to yield unreliable estimates of the stability of the soliton [13][14][15][16][17][18]. The simulations based on the 2 | D 〉 state in Eq.…”

Section: Review Articlementioning

confidence: 98%

“…This indicates clearly that the Davydov solution is not a true wave function of the systems. A thorough study in terms of parameter values, different types of disorder, different thermalization schemes, different wave functions, and different associated dynamics leads to a very complicated picture for Davydov's model [35][36][37][38][39][40][41][42][43][44][45][46][47]. These results do not completely rule out the Davydov theory; however, they do not eliminate the possibility of another wave function and a more sophisticated Hamiltonian of the system having a soliton with longer lifetime and better thermal stability.…”

Section: Review Articlementioning

confidence: 99%

“…Therefore, it is necessary to reform Davydov's wave function. Scientists thought that the soliton with a multiquantum ( 2 n ≥ ), such as the coherent state of Brown et al [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23], the multiquantum state of Kerr et al [46,47] and Schweitzer et al [50,51], the two-quantum state of Cruzeiro-Hansson [35][36][37][38][39] and Forner [58], etc. would be thermally stable in the region of biological temperature and could provide a realistic mechanism for bio-energy transport in protein molecules.…”

Section: Review Articlementioning

confidence: 99%

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Theory of bio-energy transport in protein molecules and its experimental evidences as well as applications (I)

Pang

2007

Front. Phys. China

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A new theory of bio-energy transport along protein molecules, where energy is released by the hydrolysis of adenosine triphosphate (ATP), has recently been proposed for some physical and biological reasons. In this theory, Davydov's Hamiltonian and wave function of the systems are simultaneously improved and extended. A new interaction has been added into the original Hamiltonian. The original wave function of the excitation state of single particles has been replaced by a new wave function of the two-quanta quasi-coherent state. In such a case, bio-energy is carried and transported by the new soliton along protein molecular chains. The soliton is formed through the selftrapping of two excitons interacting with amino acid residues. The exciton is generated by the vibration of amide-I (C=O stretching) arising from the energy of the hydrolysis of ATP. The properties of the soliton are extensively studied by analytical methods and its lifetime for a wide range of parameter values relevant to protein molecules is calculated using the nonlinear quantum perturbation theory. The lifetime of the new soliton at the biological temperature of 300 K is large enough and belongs to the order of 10 −10 s or τ/τ 0 ≥ 700. The different properties of the new soliton are further studied. The results show that the new soliton in the new model is a better carrier of bio-energy transport and it can play an important role in biological processes. This model is a candidate of the bio-energy transport mechanism in protein molecules. sis, amide, exciton, life time, amino acid, quasi-coherent state, binding energy PACS numbers 87.15.He, 31.50.+w, 36.20.-r p S v E J J Jr

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“…More complicated nonlinear interactions including the intramolecular anharmonicity of vibrational excitons (vibrons) have been studied in [3,8,9,11]. Thermal stability [5,6,12,13] and effects of disorder [14,15] have been considered. The Pauli character of electronic excitons and the resulting kinematical repulsion between them has been taken into account in [3,16].…”

Section: Introductionmentioning

confidence: 99%