Modeling Structural Flexibility of Proteins with Go-Models.

Structure-based models are an efficient tool for folding studies of proteins since by construction their energy landscape is only minimal frustrated. However, their intrinsic drawback is a lack of structural flexibility as usually only one target structure is employed to construct the potentials. Hence, a Go-model may not capture differences in mutation-induced protein dynamics, if - as in the case of the disease-related A629P mutant of the Menkes protein ATP7A - the structural differences between mutant and wild type are small. In this work, we introduced three implementations of Go-models that take into account the flexibility of proteins in the NMR ensemble. Comparing the wild type and the mutant A629P of the 75-residue large 6th domain Menkes protein, we find that these new Go-potentials lead to broader distributions than Go-models relying on a single member of the NMR-ensemble. This allows us to detect the transient unfolding of a loosely formed β1β4-sheet in the mutant protein. Our results are consistent with previous simulations using physical force field and an explicit solvent, and suggests a mechanism by which these mutations cause Menkes disease. In addition, the improved Go-models suggest differences in the folding pathway between wild type and mutant, an observation that was not accessible to simulations of this 75-residue protein with a physical all-atom force field and explicit solvent.

[1]  Jeffrey K. Noel,et al.  SMOG@ctbp: simplified deployment of structure-based models in GROMACS , 2010, Nucleic Acids Res..

[2]  J. Onuchic,et al.  Robustness and generalization of structure‐based models for protein folding and function , 2009, Proteins.

[3]  Ulrich H. E. Hansmann,et al.  Sampling Protein Energy Landscapes – The Quest for Efficient Algorithms , 2011 .

[4]  Carsten Kutzner,et al.  GROMACS 4:  Algorithms for Highly Efficient, Load-Balanced, and Scalable Molecular Simulation. , 2008, Journal of chemical theory and computation.

[5]  Klaus Schulten,et al.  Challenges in protein-folding simulations , 2010 .

[6]  M. Searle,et al.  Cooperative Interaction between the Three Strands of a Designed Antiparallel β-Sheet , 1998 .

[7]  C. Geyer,et al.  Annealing Markov chain Monte Carlo with applications to ancestral inference , 1995 .

[8]  Ulrich H E Hansmann,et al.  A numerical investigation into possible mechanisms by that the A629P mutant of ATP7A causes Menkes Disease. , 2010, Physical chemistry chemical physics : PCCP.

[9]  Gerhard Hummer,et al.  Slow protein conformational dynamics from multiple experimental structures: the helix/sheet transition of arc repressor. , 2005, Structure.

[10]  U. Hansmann Parallel tempering algorithm for conformational studies of biological molecules , 1997, physics/9710041.

[11]  C L Brooks,et al.  Exploring the origins of topological frustration: design of a minimally frustrated model of fragment B of protein A. , 1999, Proceedings of the National Academy of Sciences of the United States of America.

[12]  Eugene Shakhnovich Protein folding roller coaster, one molecule at a time , 2009, Proceedings of the National Academy of Sciences.

[13]  W. Kabsch,et al.  Dictionary of protein secondary structure: Pattern recognition of hydrogen‐bonded and geometrical features , 1983, Biopolymers.

[14]  Gerhard Hummer,et al.  This is an open-access article distributed under the terms of the Creative Commons Public Domain declara... , 2008 .

[15]  Ulrich H E Hansmann,et al.  Folding of proteins with diverse folds. , 2006, Biophysical journal.

[16]  J. Onuchic,et al.  An all‐atom structure‐based potential for proteins: Bridging minimal models with all‐atom empirical forcefields , 2009, Proteins.

[17]  Valentina Tozzini,et al.  Coarse-grained models for proteins. , 2005, Current opinion in structural biology.

[18]  N. Go,et al.  Studies on protein folding, unfolding, and fluctuations by computer simulation. II. A. Three‐dimensional lattice model of lysozyme , 1978 .

[19]  J. Onuchic,et al.  Multiple-basin energy landscapes for large-amplitude conformational motions of proteins: Structure-based molecular dynamics simulations , 2006, Proceedings of the National Academy of Sciences.

[20]  S. Packman,et al.  Isolation of a candidate gene for Menkes disease and evidence that it encodes a copper–transporting ATPase , 1993, Nature Genetics.

[21]  K. Hukushima,et al.  Exchange Monte Carlo Method and Application to Spin Glass Simulations , 1995, cond-mat/9512035.

[22]  Ulrich H E Hansmann,et al.  Understanding protein folding: small proteins in silico. , 2008, Biochimica et biophysica acta.

[23]  K. Dill,et al.  Cooperativity in protein-folding kinetics. , 1993, Proceedings of the National Academy of Sciences of the United States of America.

[24]  D. Selkoe Folding proteins in fatal ways , 2003, Nature.

[25]  Jun Wang,et al.  Folding with downhill behavior and low cooperativity of proteins , 2006, Proteins.

[26]  M. Searle,et al.  Structure, folding, and energetics of cooperative interactions between the beta-strands of a de novo sesigned three-stranded antiparallel beta-sheet peptide , 2000 .

[27]  Ulrich H E Hansmann,et al.  Generalized ensemble and tempering simulations: a unified view. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.