Exact Solution of the Munoz-Eaton Model for Protein Folding
arXiv:cond-mat/0205646 · doi:10.1103/PhysRevLett.88.258101
Abstract
A transfer-matrix formalism is introduced to evaluate exactly the partition function of the Munoz-Eaton model, relating the folding kinetics of proteins of known structure to their thermodynamics and topology. This technique can be used for a generic protein, for any choice of the energy and entropy parameters, and in principle allows the model to be used as a first tool to characterize the dynamics of a protein of known native state and equilibrium population. Applications to a -hairpin and to protein CI-2, with comparisons to previous results, are also shown.
4 pages, 5 figures, RevTeX 4. To be published in Phys. Rev. Lett
Cited by in corpus (34)
- Cluster Variation Method in Statistical Physics and Probabilistic Graphical Models
- An Ising-Like model for protein mechanical unfolding
- Mechanical unfolding and refolding pathways of ubiquitin
- Kinetics of the Wako-Saito-Munoz-Eaton Model of Protein Folding
- Exact Partition Function Zeros of the Wako-Saito-Muñoz-Eaton Protein Model
- Downhill versus two-state protein folding in a statistical mechanical model
- Rate Determining Factors in Protein Model Structures
- Protein mechanical unfolding: a model with binary variables
- Analytical solution of 1D lattice gas model with infinite number of multiatom interactions
- Exactness of the cluster variation method and factorization of the equilibrium probability for the Wako-Saito-Munoz-Eaton model of protein folding
- Competition for hydrogen bond formation in the helix-coil transition and protein folding
- Introduction to protein folding for physicists
- Rigorous results on the local equilibrium kinetics of a protein folding model
- Exactly Solvable Model for Helix-Coil-Sheet Transitions in Protein Systems
- Direction dependent mechanical unfolding and Green Fluorescent Protein as a force sensor
- Analysis of the Equilibrium and Kinetics of the Ankyrin Repeat Protein Myotrophin
- Effects of confinement on thermal stability and folding kinetics in a simple Ising-like model
- Equilibrium properties and force-driven unfolding pathways of RNA molecules
- A simplified exactly solvable model for beta-amyloid aggregation
- Pathways of mechanical unfolding of FnIII_{10}: low force intermediates
- Large Deviations in Renewal Models of Statistical Mechanics
- Multi-Dimensional Theory of Protein Folding
- Analytic Partition Function Zeros of the Wako-Saito-Munoz-Eaton beta-hairpin Model
- Mean Field Approach for a Statistical Mechanical Model of Proteins
- Nonequilibrium dynamics of an exactly solvable Ising-like model and protein translocation
- Biological Effects of Microwaves: Thermal and nonThermal Mechanisms
- An exactly solvable model for a beta-hairpin with random interactions
- Transfer matrix solution of the Wako-Saitô-Muñoz-Eaton model augmented by arbitrary short range interactions
- Phase diagram of the Wako-Saito-Munoz-Eaton beta-hairpin Model obtained with partition function zeros
- Eigenvalues of the Homogeneous Finite Linear One Step Master Equation: Applications to Downhill Folding
- What one can learn from experiments about the elusive transition state?
- A simple measure of native-state topology and chain connectivity predicts the folding rates of two-state proteins with and without crosslinks
- Loop-closure principles in protein folding
- Loop-closure events during protein folding: Rationalizing the shape of Phi-value distributions