Langevin dynamics of peptides: The frictional dependence of isomerization rates of N‐acetylalanyl‐N′‐methylamide

The rate constant for the transition between the equatorial and axial conformations of N‐acetylalanyl‐N′‐methylamide has been determined from Langevin dynamics (LD) simulations with no explicit solvent. The isomerization rate is maximum at collision frequency γ = 2 ps−1, shows diffusive character for γ ≥ 10 ps−1, but does not approach zero even at γ = 0.01 ps−1. This behavior differs from that found for a one‐dimensional bistable potential and indicates that both collisional energy transfer with solvent and vibrational energy transfer between internal modes are important in the dynamics of barrier crossing for this system. It is suggested that conformational searches of peptides be carried out using LD with a collision frequency that maximizes the isomerization rate (i.e., γ ≈ 2 ps−1). This method is expected to be more efficient than either molecular dynamics in vacuo (which corresponds to LD with γ = 0) or molecular dynamics in solvent (where dynamics is largely diffusive).

[1]  H. Eyring The Activated Complex in Chemical Reactions , 1935 .

[2]  S. Chandrasekhar Stochastic problems in Physics and Astronomy , 1943 .

[3]  M. Degroot,et al.  Probability and Statistics , 2021, Examining an Operational Approach to Teaching Probability.

[4]  David Chandler,et al.  Statistical mechanics of isomerization dynamics in liquids and the transition state approximation , 1978 .

[5]  D. Chandler,et al.  Stochastic molecular dynamics study of trans–gauche isomerization processes in simple chain molecules , 1980 .

[6]  Jeffrey Skolnick,et al.  Kinetics of conformational transitions in chain molecules , 1980 .

[7]  Thomas A. Weber,et al.  Brownian Dynamics Study of Polymer Conformational Transitions , 1979 .

[8]  Herman J. C. Berendsen,et al.  ALGORITHMS FOR BROWNIAN DYNAMICS , 1982 .

[9]  M. Karplus,et al.  CHARMM: A program for macromolecular energy, minimization, and dynamics calculations , 1983 .

[10]  M. Karplus,et al.  Stochastic boundary conditions for molecular dynamics simulations of ST2 water , 1984 .

[11]  Bernard Pettitt,et al.  The potential of mean force surface for the alanine dipeptide in aqueous solution: a theoretical approach , 1985 .

[12]  M. Karplus,et al.  Role of Electrostatics in the Structure, Energy, and Dynamics of Biomolecules: A Model Study of N-Methylalanylacetamide , 1985 .

[13]  J. Hynes Chemical reaction rates and solvent friction , 1986 .

[14]  C. Levinthal,et al.  Predicting antibody hypervariable loop conformations II: Minimization and molecular dynamics studies of MCPC603 from many randomly generated loop conformations , 1986, Proteins.

[15]  V. I. Mel’nikov,et al.  Theory of activated rate processes: Exact solution of the Kramers problem , 1986 .

[16]  G. Fleming,et al.  Activated barrier crossing: Comparison of experiment and theory , 1986 .

[17]  Bernard R. Brooks Applications of Molecular Dynamics for Structural Analysis of Proteins and Peptides , 1987 .

[18]  D. Chandler,et al.  Introduction To Modern Statistical Mechanics , 1987 .

[19]  M. Karplus,et al.  Prediction of the folding of short polypeptide segments by uniform conformational sampling , 1987, Biopolymers.

[20]  Donald G. Truhlar,et al.  Supercomputer Research in Chemistry and Chemical Engineering , 1987 .

[21]  D. Case Dynamical simulation of rate constants in protein-ligand interactions. , 1988, Progress in biophysics and molecular biology.

[22]  J. Banavar,et al.  Computer Simulation of Liquids , 1988 .

[23]  B. Brooks,et al.  An analysis of the accuracy of Langevin and molecular dynamics algorithms , 1988 .

[24]  A E Howard,et al.  An analysis of current methodologies for conformational searching of complex molecules. , 1988, Journal of medicinal chemistry.

[25]  M. Karplus,et al.  Parametrization of the friction constant for stochastic simulations of polymers , 1988 .

[26]  R. Pastor,et al.  Frictional models for stochastic simulations of proteins , 1988, Biopolymers.

[27]  Jiří Novotný,et al.  Structure of antibody hypervariable loops reproduced by a conformational search algorithm , 1988, Nature.

[28]  John E. Straub,et al.  Classical and modern methods in reaction rate theory , 1988 .

[29]  R. A. Kuharski,et al.  Stochastic molecular dynamics study of cyclohexane isomerization , 1988 .

[30]  Huan‐Xiang Zhou The exponential nature of barrier crossings studied by langevin dynamics , 1989 .

[31]  M. Karplus,et al.  Inertial effects in butane stochastic dynamics , 1989 .

[32]  R H Reid,et al.  Computer simulations of a tumor surface octapeptide epitope , 1989, Biopolymers.

[33]  J. Jonas,et al.  Dynamical solvent effects on conformational isomerization of cyclohexane and 1,1‐difluorocyclohexane , 1989 .

[34]  P. Hänggi,et al.  Reaction-rate theory: fifty years after Kramers , 1990 .

[35]  Martin Saunders,et al.  Conformations of cycloheptadecane. A comparison of methods for conformational searching , 1990 .

[36]  A conformational comparision of two stereoisomeric cyclic dermorphin analogues employing nmr and computer simulations , 1990, Biopolymers.

[37]  A. Kolinski,et al.  Simulations of the Folding of a Globular Protein , 1990, Science.

[38]  M. Karplus,et al.  Conformational sampling using high‐temperature molecular dynamics , 1990, Biopolymers.