Calculation of the lifetime of a Davydov soliton at finite temperature

Cottingham, James P.; Schweitzer, J. W.

doi:10.1103/physrevlett.62.1792

Cited by 96 publications

(70 citation statements)

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“…In the simulation, correlation characteristics of solitonlike quasiparticles occur only at low temperatures, about T < 10 K, for widely accepted parameter values. This is consistent at a qualitative level with the result of Cottingham et al [50][51]. The latter is a straightforward quantum-mechanical perturbation calculation.…”

Section: Review Articlesupporting

confidence: 84%

“…Hence, as far as the form of the new wave function in Eq. (9) is concerned, it is either the two-quantum state proposed by Forner [58] and Cruzeiro-Hansson [35][36][37][38][39] or a standard coherent state proposed by the multiquanta states of Brown et al [19][20][21][22][23] and Kerr et al [46,47] and Schweitzer et al [50,51]. Therefore, the wave function in Eq.…”

Section: Construction Of New Model For the Systemsmentioning

confidence: 99%

“…It is suggested that this model can resolve the controversy on the thermal stability and lifetime of the soliton excited in protein molecules. The quantum properties of the new soliton are studied here [81][82][83][84][85][86][87][88][89][90][91][92][93][94][95][96][97], but here attention is paid to the problem of its lifetime and thermal stability at biological temperature of 300 K and the lifetime of the new soliton at 300 K is calculated in detail by using the generally accepted values of the parameters appropriate to α-helical protein molecules in terms of the quantum perturbation theory developed by Cottingham et al [50,51], which can take simultaneously into account the quantum and thermal effects. It can be seen that the lifetime of the new soliton at 300 K is long enough to provide a viable explanation of bio-energy transport in proteins.…”

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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Section: Review Articlesupporting

confidence: 84%

Section: Construction Of New Model For the Systemsmentioning

confidence: 99%

Section: Review Articlementioning

confidence: 99%

Section: Review Articlementioning

confidence: 99%

See 2 more Smart Citations

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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“…However, recent calculations performed by Ivic et al [9] clearly show that the multivibron soliton lifetime is of about a few picoseconds, i.e. the same order of magnitude as the single-vibron soliton lifetime found by Cottingham and Schweitzer [33,34].…”

Section: Introductionmentioning

confidence: 98%

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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Davydov solitons in proteins

Förner

1997

Int. J. Quant. Chem.

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ABSTRACT:The mechanism for energy and signal transport in proteins as suggested by Davydov is discussed. The idea is based on a coupling of amide-I oscillators to acoustic phonons in a hydrogen-bonded chain. Results as obtained with the usually used ansatze are discussed. The quality of these states for an approximate solution of thë time-dependent Schrodinger equation is investigated. It is found that the semiclassical < : ansatz is a poor approximation, while the more sophisticated D state seems to 1 represent the exact dynamics quite well. Calculations at a temperature of 300 K for one Ž . chain, as well as for three coupled ones as they are present in an ␣-helix , are presented and discussed. From the calculations, it is evident that Davydov solitons are stable for reasonable parameter values at 300 K only for special initial excitations close to the terminal sites of the chain. However, for soliton formation, it is not necessary that the initial excitation occurs at the chain end which has its CϭO group directly coupled to the lattice as it is the case for T s 0 K. At higher temperatures, solitary waves can be formed from both chain ends. Since the model for temperature effects used was criticized from the theoretical point of view, we suggest an improved theory for temperature effects. Finally, we discuss recent experimental findings which indicate that normal modes describing the N-H stretch and its coupling to the hydrogen bonds should be considered in addition to the amide-I vibration.

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Calculation of the lifetime of a Davydov soliton at finite temperature

Cited by 96 publications

References 9 publications

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

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

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

Davydov solitons in proteins

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