메뉴 건너뛰기




Volumn 229, Issue 19, 2010, Pages 7129-7146

Free energy reconstruction from steered dynamics without post-processing

Author keywords

Computer chemistry; Free energy calculations; Molecular simulation; Monte Carlo method; Statistical thermodynamics

Indexed keywords

FREE ENERGY; IMPORTANCE SAMPLING; MOLECULAR DYNAMICS; QUANTUM THEORY; STATISTICAL MECHANICS;

EID: 77955275400     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2010.06.003     Document Type: Article
Times cited : (23)

References (71)
  • 1
    • 0342929614 scopus 로고
    • Non-physical sampling distributions in Monte Carlo free-energy estimation: umbrella sampling
    • Torrie G., Valleau J. Non-physical sampling distributions in Monte Carlo free-energy estimation: umbrella sampling. J. Comput. Phys. 1977, 23:187-199.
    • (1977) J. Comput. Phys. , vol.23 , pp. 187-199
    • Torrie, G.1    Valleau, J.2
  • 3
    • 84986519238 scopus 로고
    • The weighted histogram analysis method for free-energy calculations on biomolecules 1. The method
    • Kumar S., Bouzida D., Swendsen R., et al. The weighted histogram analysis method for free-energy calculations on biomolecules 1. The method. J. Comput. Chem. 1992, 13:1011-1021.
    • (1992) J. Comput. Chem. , vol.13 , pp. 1011-1021
    • Kumar, S.1    Bouzida, D.2    Swendsen, R.3
  • 4
    • 52949088587 scopus 로고    scopus 로고
    • Statistically optimal analysis of samples from multiple equilibrium states
    • Shirts M., Chodera J. Statistically optimal analysis of samples from multiple equilibrium states. J. Chem. Phys. 2008, 129:124105.
    • (2008) J. Chem. Phys. , vol.129 , pp. 124105
    • Shirts, M.1    Chodera, J.2
  • 5
    • 5244304444 scopus 로고
    • Efficient estimation of free-energy differences from Monte-Carlo data
    • Bennett C.H. Efficient estimation of free-energy differences from Monte-Carlo data. J. Comput. Phys. 1976, 22:245-268.
    • (1976) J. Comput. Phys. , vol.22 , pp. 245-268
    • Bennett, C.H.1
  • 6
    • 0242677537 scopus 로고    scopus 로고
    • Equilibrium free energies from nonequilibrium measurements using maximum-likelihood methods
    • Shirts M., Bair E., Hooker G., Pande V. Equilibrium free energies from nonequilibrium measurements using maximum-likelihood methods. Phys. Rev. Lett. 2003, 91:140601.
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 140601
    • Shirts, M.1    Bair, E.2    Hooker, G.3    Pande, V.4
  • 7
    • 0035957434 scopus 로고    scopus 로고
    • Free energy reconstruction from nonequilibrium single-molecule pulling experiments
    • 3658-2010
    • Hummer G., Szabo A. Free energy reconstruction from nonequilibrium single-molecule pulling experiments. Proc. Natl. Acad. Sci. USA 2001, 98. 3658-2010.
    • (2001) Proc. Natl. Acad. Sci. USA , vol.98
    • Hummer, G.1    Szabo, A.2
  • 8
    • 4243754128 scopus 로고    scopus 로고
    • Nonequilibrium equality for free energy differences
    • Jarzynski C. Nonequilibrium equality for free energy differences. Phys. Rev. Lett. 1997, 78:2690-2693.
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 2690-2693
    • Jarzynski, C.1
  • 9
    • 0040120726 scopus 로고    scopus 로고
    • Fluctuation theorem for stochastic dynamics
    • Kurchan J. Fluctuation theorem for stochastic dynamics. J. Phys. A Math. Gen. 1998, 31:3719-3729.
    • (1998) J. Phys. A Math. Gen. , vol.31 , pp. 3719-3729
    • Kurchan, J.1
  • 10
    • 0032023968 scopus 로고    scopus 로고
    • Nonequilibrium measurements of free energy differences for microscopically reversible Markovian systems
    • Crooks G. Nonequilibrium measurements of free energy differences for microscopically reversible Markovian systems. J. Stat. Phys. 1998, 90:1481-1487.
    • (1998) J. Stat. Phys. , vol.90 , pp. 1481-1487
    • Crooks, G.1
  • 11
    • 0000186593 scopus 로고    scopus 로고
    • Path-ensemble averages in systems driven far from equilibrium
    • Crooks G. Path-ensemble averages in systems driven far from equilibrium. Phys. Rev. E 2000, 61(2361):2361-2366.
    • (2000) Phys. Rev. E , vol.61 , Issue.2361 , pp. 2361-2366
    • Crooks, G.1
  • 12
    • 33745762636 scopus 로고    scopus 로고
    • A temperature accelerated method for sampling free energy and determining reaction pathways in rare events simulations
    • Maragliano L., Vanden-Eijnden E. A temperature accelerated method for sampling free energy and determining reaction pathways in rare events simulations. Chem. Phys. Lett. 2006, 426:168-175.
    • (2006) Chem. Phys. Lett. , vol.426 , pp. 168-175
    • Maragliano, L.1    Vanden-Eijnden, E.2
  • 14
    • 77950448255 scopus 로고    scopus 로고
    • Large-scale conformational sampling of proteins using temperature-accelerated molecular dynamics
    • Abrams C., Vanden-Eijnden E. Large-scale conformational sampling of proteins using temperature-accelerated molecular dynamics. Proc. Natl. Acad. Sci. USA 2010, 107:4961-4966.
    • (2010) Proc. Natl. Acad. Sci. USA , vol.107 , pp. 4961-4966
    • Abrams, C.1    Vanden-Eijnden, E.2
  • 15
    • 0037085922 scopus 로고    scopus 로고
    • On the use of adiabatic molecular dynamics technique in the calculation of free energy profiles
    • Rosso L., Mináry P., Shou S., Tuckerman M.E. On the use of adiabatic molecular dynamics technique in the calculation of free energy profiles. J. Chem. Phys. 2001, 116:4389-4402.
    • (2001) J. Chem. Phys. , vol.116 , pp. 4389-4402
    • Rosso, L.1    Mináry, P.2    Shou, S.3    Tuckerman, M.E.4
  • 16
    • 0037050603 scopus 로고    scopus 로고
    • Canonical adiabatic free energy sampling (CAFES): a novel method for the exploration of free energy surfaces
    • Vande Vondele J., Rothlisberger U. Canonical adiabatic free energy sampling (CAFES): a novel method for the exploration of free energy surfaces. J. Phys. Chem. B 2002, 106:203-208.
    • (2002) J. Phys. Chem. B , vol.106 , pp. 203-208
    • Vande Vondele, J.1    Rothlisberger, U.2
  • 18
    • 41349090776 scopus 로고    scopus 로고
    • Parallel Monte Carlo simulations using a residence weight algorithm
    • Athènes M. Parallel Monte Carlo simulations using a residence weight algorithm. Phys. Rev. E 2002, 66:016701.
    • (2002) Phys. Rev. E , vol.66 , pp. 016701
    • Athènes, M.1
  • 19
    • 41349108440 scopus 로고    scopus 로고
    • Computation of a chemical potential using a residence weight algorithm
    • Athènes M. Computation of a chemical potential using a residence weight algorithm. Phys. Rev. E 2002, 66:046705.
    • (2002) Phys. Rev. E , vol.66 , pp. 046705
    • Athènes, M.1
  • 20
    • 3142550885 scopus 로고    scopus 로고
    • A path-sampling scheme for computing thermodynamic properties of a many-body system in a generalized ensemble
    • Athènes M. A path-sampling scheme for computing thermodynamic properties of a many-body system in a generalized ensemble. Eur. Phys. J. B 2004, 38:651-663.
    • (2004) Eur. Phys. J. B , vol.38 , pp. 651-663
    • Athènes, M.1
  • 21
    • 29244447750 scopus 로고    scopus 로고
    • Gibbs free-energy estimates from direct path-sampling computations
    • Adjanor G., Athènes M. Gibbs free-energy estimates from direct path-sampling computations. J. Chem. Phys. 2005, 123:234104.
    • (2005) J. Chem. Phys. , vol.123 , pp. 234104
    • Adjanor, G.1    Athènes, M.2
  • 22
    • 17444372741 scopus 로고    scopus 로고
    • Biased sampling of nonequilibrium trajectories: Can fast switching simulations outperform conventional free energy calculation methods?
    • Oberhofer H., Dellago C., Geissler P.L. Biased sampling of nonequilibrium trajectories: Can fast switching simulations outperform conventional free energy calculation methods?. J. Phys. Chem. B 2005, 109:6902-6915.
    • (2005) J. Phys. Chem. B , vol.109 , pp. 6902-6915
    • Oberhofer, H.1    Dellago, C.2    Geissler, P.L.3
  • 23
    • 34547507031 scopus 로고    scopus 로고
    • Web ensemble averages for retrieving relevant information from rejected Monte Carlo moves
    • Athènes M. Web ensemble averages for retrieving relevant information from rejected Monte Carlo moves. Eur. Phys. J. B 2007, 58:83.
    • (2007) Eur. Phys. J. B , vol.58 , pp. 83
    • Athènes, M.1
  • 25
    • 11144230021 scopus 로고    scopus 로고
    • Speed-up of Monte Carlo simulations by sampling of rejected states
    • Frenkel D. Speed-up of Monte Carlo simulations by sampling of rejected states. Proc. Natl. Acad. Sci. USA 2004, 101:17571-17575.
    • (2004) Proc. Natl. Acad. Sci. USA , vol.101 , pp. 17571-17575
    • Frenkel, D.1
  • 26
    • 0000939936 scopus 로고
    • Monte Carlo simulation of a many-fermion system
    • Ceperley D., Ghester G., Kalos M. Monte Carlo simulation of a many-fermion system. Phys. Rev. B 1977, 16:3081-3099.
    • (1977) Phys. Rev. B , vol.16 , pp. 3081-3099
    • Ceperley, D.1    Ghester, G.2    Kalos, M.3
  • 28
    • 47349112432 scopus 로고    scopus 로고
    • Measurement of nonequilibrium entropy from space-time thermodynamic integration
    • Athènes M., Adjanor G. Measurement of nonequilibrium entropy from space-time thermodynamic integration. J. Chem. Phys. 2008, 129:024116.
    • (2008) J. Chem. Phys. , vol.129 , pp. 024116
    • Athènes, M.1    Adjanor, G.2
  • 29
    • 60749136514 scopus 로고    scopus 로고
    • Isothermal-isobaric molecular dynamics using stochastic velocity rescaling
    • Bussi G., Zykova-Timan T., Parrinello M. Isothermal-isobaric molecular dynamics using stochastic velocity rescaling. J. Chem. Phys. 2009, 130:074101.
    • (2009) J. Chem. Phys. , vol.130 , pp. 074101
    • Bussi, G.1    Zykova-Timan, T.2    Parrinello, M.3
  • 30
    • 42749108175 scopus 로고    scopus 로고
    • Path-integral analysis of fluctuation theorems for general Langevin processes
    • Chernyak V., Chertkov M., Jarzynski C. Path-integral analysis of fluctuation theorems for general Langevin processes. J. Stat. Mech. 2006, P08001.
    • (2006) J. Stat. Mech.
    • Chernyak, V.1    Chertkov, M.2    Jarzynski, C.3
  • 31
    • 67650485755 scopus 로고    scopus 로고
    • Some recent techniques for free energy calculations
    • Vanden-Eijnden E. Some recent techniques for free energy calculations. J. Comput. Chem. 2009, 30:1737.
    • (2009) J. Comput. Chem. , vol.30 , pp. 1737
    • Vanden-Eijnden, E.1
  • 32
    • 34447567393 scopus 로고    scopus 로고
    • Cumulants and large deviations of the current through non-equilibrium steady states
    • Bodineau T., Derrida B. Cumulants and large deviations of the current through non-equilibrium steady states. CR Phys. 2007, 8:540-555.
    • (2007) CR Phys. , vol.8 , pp. 540-555
    • Bodineau, T.1    Derrida, B.2
  • 33
    • 85190568511 scopus 로고    scopus 로고
    • Excursions in Statistical Physics, Ph.D. Thesis
    • G. Crooks, Excursions in Statistical Physics, Ph.D. Thesis, http://threeplusone.com/pubs/GECthesis.
    • Crooks, G.1
  • 34
    • 0002301261 scopus 로고
    • Contribution to general theory of thermal fluctuations in nonlinear-systems
    • Bochkov G.N., Kuzovlev Yu.E. Contribution to general theory of thermal fluctuations in nonlinear-systems. J. Exp. Theor. Phys. 1977, 72:238-247.
    • (1977) J. Exp. Theor. Phys. , vol.72 , pp. 238-247
    • Bochkov, G.N.1    Kuzovlev, Y.2
  • 35
    • 0001169060 scopus 로고
    • Non-linear fluctuation-dissipation relations and stochastic-models in non-equilibrium thermodynamics. 1. Generalized fluctuation-dissipation theorem
    • Bochkov G.N., Kuzovlev Yu.E. Non-linear fluctuation-dissipation relations and stochastic-models in non-equilibrium thermodynamics. 1. Generalized fluctuation-dissipation theorem. Physica A 1981, 106:443-479.
    • (1981) Physica A , vol.106 , pp. 443-479
    • Bochkov, G.N.1    Kuzovlev, Y.2
  • 36
    • 84901007317 scopus 로고    scopus 로고
    • Nonequilibrium work theorem for a system strongly coupled to a thermal environment
    • Jarzynski C. Nonequilibrium work theorem for a system strongly coupled to a thermal environment. J. Stat. Mech.: Theory Exp. 2004, P09005.
    • (2004) J. Stat. Mech.: Theory Exp.
    • Jarzynski, C.1
  • 38
    • 54849185700 scopus 로고    scopus 로고
    • Nonequilibrium work relations: foundations and applications
    • Jarzynski C. Nonequilibrium work relations: foundations and applications. Eur. Phys. J. B 2008, 59:331-340.
    • (2008) Eur. Phys. J. B , vol.59 , pp. 331-340
    • Jarzynski, C.1
  • 39
    • 42749101300 scopus 로고    scopus 로고
    • On the efficiency of path sampling methods for the calculation of free energies from non-equilibrium simulations
    • Lechner W., Dellago C. On the efficiency of path sampling methods for the calculation of free energies from non-equilibrium simulations. J. Stat. Mech. 2007, 04:P04001.
    • (2007) J. Stat. Mech. , vol.4
    • Lechner, W.1    Dellago, C.2
  • 40
    • 44649134762 scopus 로고    scopus 로고
    • Optimum bias for fast-switching free energy calculations
    • Oberhofer H., Dellago C. Optimum bias for fast-switching free energy calculations. Comput. Phys. Commun. 2008, 179:41-45.
    • (2008) Comput. Phys. Commun. , vol.179 , pp. 41-45
    • Oberhofer, H.1    Dellago, C.2
  • 42
    • 34447273343 scopus 로고    scopus 로고
    • Path sampling with stochastic dynamics: some new algorithms
    • Stoltz G. Path sampling with stochastic dynamics: some new algorithms. J. Comput. Phys. 2007, 225:491-508.
    • (2007) J. Comput. Phys. , vol.225 , pp. 491-508
    • Stoltz, G.1
  • 44
    • 76449089530 scopus 로고    scopus 로고
    • Does waste-recycling really improve the multi-proposal metropolis-hastings Monte Carlo algorithm?
    • Delmas J.-F., Jourdain B. Does waste-recycling really improve the multi-proposal metropolis-hastings Monte Carlo algorithm?. J. Appl. Probab. 2009, 46:938-959.
    • (2009) J. Appl. Probab. , vol.46 , pp. 938-959
    • Delmas, J.-F.1    Jourdain, B.2
  • 46
    • 35748982459 scopus 로고    scopus 로고
    • Molecular dynamics study of the solvation of calcium carbonate in water
    • Bruneval F., Donadio D., Parrinello M. Molecular dynamics study of the solvation of calcium carbonate in water. J. Phys. Chem. B 2007, 111:12219-12227.
    • (2007) J. Phys. Chem. B , vol.111 , pp. 12219-12227
    • Bruneval, F.1    Donadio, D.2    Parrinello, M.3
  • 47
    • 43649090167 scopus 로고    scopus 로고
    • Thermodynamic modelling of glasses at atomistic scale
    • Adjanor G., Athènes M. Thermodynamic modelling of glasses at atomistic scale. AIP Conf. Proc. 2008, 999:186-201.
    • (2008) AIP Conf. Proc. , vol.999 , pp. 186-201
    • Adjanor, G.1    Athènes, M.2
  • 48
    • 43249106438 scopus 로고    scopus 로고
    • Optimized free energies from bidirectional single-molecule force spectroscopy
    • Minh D., Adib A. Optimized free energies from bidirectional single-molecule force spectroscopy. Phys. Rev. Lett. 2008, 100:180602.
    • (2008) Phys. Rev. Lett. , vol.100 , pp. 180602
    • Minh, D.1    Adib, A.2
  • 49
    • 33645666178 scopus 로고    scopus 로고
    • Rare events and the convergence of exponentially averaged work values
    • Jarzynski C. Rare events and the convergence of exponentially averaged work values. Phys. Rev. E 2006, 73:046105.
    • (2006) Phys. Rev. E , vol.73 , pp. 046105
    • Jarzynski, C.1
  • 50
    • 37649004083 scopus 로고    scopus 로고
    • Orientation of interstitials in clusters in alpha-Fe: a comparison between empirical potentials
    • Marinica M.-C., Willaime F. Orientation of interstitials in clusters in alpha-Fe: a comparison between empirical potentials. Solid State Phenom. 2007, 129:67-74.
    • (2007) Solid State Phenom. , vol.129 , pp. 67-74
    • Marinica, M.-C.1    Willaime, F.2
  • 51
    • 24444453981 scopus 로고
    • Jump dynamics and the isotope effect in solid-state diffusion
    • Marchese M., de Lorenzi G., Jaccuci G., Flynn C. Jump dynamics and the isotope effect in solid-state diffusion. Phys. Rev. Lett. 1986, 57:3280-3283.
    • (1986) Phys. Rev. Lett. , vol.57 , pp. 3280-3283
    • Marchese, M.1    de Lorenzi, G.2    Jaccuci, G.3    Flynn, C.4
  • 52
    • 0000672766 scopus 로고    scopus 로고
    • The double-funnel energy landscape of the 38-atom Lennard-Jones cluster
    • Doye J., Miller M., Wales D. The double-funnel energy landscape of the 38-atom Lennard-Jones cluster. J. Chem. Phys. 1999, 110:6896-6906.
    • (1999) J. Chem. Phys. , vol.110 , pp. 6896-6906
    • Doye, J.1    Miller, M.2    Wales, D.3
  • 54
    • 33751283977 scopus 로고    scopus 로고
    • Potential energy and free energy landscapes
    • Wales D., Bogdan Tetyana Potential energy and free energy landscapes. J. Phys. Chem. B 2006, 110:20765-20776.
    • (2006) J. Phys. Chem. B , vol.110 , pp. 20765-20776
    • Wales, D.1    Bogdan, T.2
  • 55
    • 33646436227 scopus 로고
    • Bond orientational order in liquids and glasses
    • Steinhard P., Nelson D., Ronchetti M. Bond orientational order in liquids and glasses. Phys. Rev. B 1983, 28:784-805.
    • (1983) Phys. Rev. B , vol.28 , pp. 784-805
    • Steinhard, P.1    Nelson, D.2    Ronchetti, M.3
  • 56
  • 57
    • 6644221271 scopus 로고    scopus 로고
    • Efficient, multiple-range random walk algorithm to calculate the density of states
    • Wang F., Landau D.P. Efficient, multiple-range random walk algorithm to calculate the density of states. Phys. Rev. Lett. 2001, 86:2050-2053.
    • (2001) Phys. Rev. Lett. , vol.86 , pp. 2050-2053
    • Wang, F.1    Landau, D.P.2
  • 58
    • 0037058473 scopus 로고    scopus 로고
    • Sampling along reaction coordinates with the Wang-Landau method
    • Calvo F. Sampling along reaction coordinates with the Wang-Landau method. Mol. Phys. 2002, 100:3421-3427.
    • (2002) Mol. Phys. , vol.100 , pp. 3421-3427
    • Calvo, F.1
  • 59
    • 24944462252 scopus 로고    scopus 로고
    • Virtual-move parallel tempering
    • Coluzza I., Frenkel D. Virtual-move parallel tempering. ChemPhysChem 2005, 6:1779-1783.
    • (2005) ChemPhysChem , vol.6 , pp. 1779-1783
    • Coluzza, I.1    Frenkel, D.2
  • 60
    • 34147094596 scopus 로고    scopus 로고
    • Computation of free energy profiles with parallel adaptive dynamics
    • Lelièvre T., Rousset M., Stoltz G. Computation of free energy profiles with parallel adaptive dynamics. J. Chem. Phys. 2007, 126:134111.
    • (2007) J. Chem. Phys. , vol.126 , pp. 134111
    • Lelièvre, T.1    Rousset, M.2    Stoltz, G.3
  • 61
    • 38349091489 scopus 로고    scopus 로고
    • Well-tempered metadynamics: a smoothly converging and tunable free-energy method
    • Barducci A., Bussi G., Parrinello M. Well-tempered metadynamics: a smoothly converging and tunable free-energy method. Phys. Rev. Lett. 2008, 100:020603.
    • (2008) Phys. Rev. Lett. , vol.100 , pp. 020603
    • Barducci, A.1    Bussi, G.2    Parrinello, M.3
  • 62
    • 33947226734 scopus 로고    scopus 로고
    • Waste-recycling Monte Carlo, in: Computer Simulations in Condensed Matter Systems
    • D. Frenkel, Waste-recycling Monte Carlo, in: Computer Simulations in Condensed Matter Systems, Lect. Notes Phys. vol. 703, 2006, p. 127.
    • (2006) Lect. Notes Phys. , vol.703 , pp. 127
    • Frenkel, D.1
  • 63
    • 55549100960 scopus 로고    scopus 로고
    • Multiple-replica exchange with information retrieval
    • Athènes M., Calvo F. Multiple-replica exchange with information retrieval. ChemPhysChem 2008, 9:2332-2339.
    • (2008) ChemPhysChem , vol.9 , pp. 2332-2339
    • Athènes, M.1    Calvo, F.2
  • 64
    • 0001096112 scopus 로고
    • Parallel Monte Carlo simulations
    • Esselink K., Loyens L., Smit B. Parallel Monte Carlo simulations. Phys. Rev. E 1992, 51:1560-1568.
    • (1992) Phys. Rev. E , vol.51 , pp. 1560-1568
    • Esselink, K.1    Loyens, L.2    Smit, B.3
  • 65
    • 0015960415 scopus 로고
    • Simulation of the evolution of defects in a lattice by the Monte Carlo method
    • Lanore J.-M. Simulation of the evolution of defects in a lattice by the Monte Carlo method. Radiation Effects 1974, 22:153-162.
    • (1974) Radiation Effects , vol.22 , pp. 153-162
    • Lanore, J.-M.1
  • 66
    • 0002296942 scopus 로고
    • New algorithm for Monte-Carlo simulation of ising spin systems
    • Bortz A.B., Kalos M.H., Lebowitz J.L. New algorithm for Monte-Carlo simulation of ising spin systems. J. Comput. Phys. 1975, 17:10-18.
    • (1975) J. Comput. Phys. , vol.17 , pp. 10-18
    • Bortz, A.B.1    Kalos, M.H.2    Lebowitz, J.L.3
  • 67
    • 0040898643 scopus 로고    scopus 로고
    • Identification of novel diffusion cycles in B2 ordered phases by Monte Carlo simulation
    • Athènes M., Bellon P., Martin G. Identification of novel diffusion cycles in B2 ordered phases by Monte Carlo simulation. Phil. Mag. A 1997, 76:565-585.
    • (1997) Phil. Mag. A , vol.76 , pp. 565-585
    • Athènes, M.1    Bellon, P.2    Martin, G.3
  • 68
    • 2942547851 scopus 로고    scopus 로고
    • Stochastic kinetic Monte Carlo algorithms for long-range Hamiltonians
    • Mason D.R., Rudd R.E., Sutton A.P. Stochastic kinetic Monte Carlo algorithms for long-range Hamiltonians. Comput. Phys. Commun. 2004, 160:140-157.
    • (2004) Comput. Phys. Commun. , vol.160 , pp. 140-157
    • Mason, D.R.1    Rudd, R.E.2    Sutton, A.P.3
  • 70
    • 66749117149 scopus 로고    scopus 로고
    • Calculating rate constants and committor probabilities for transition networks by graph transformation
    • Wales D. Calculating rate constants and committor probabilities for transition networks by graph transformation. J. Chem. Phys. 2009, 130:204111.
    • (2009) J. Chem. Phys. , vol.130 , pp. 204111
    • Wales, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.