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Published on: February 12, 2019
Markov modeling of peptide folding in the presence of protein crowders
Daniel Nilsson1, Sandipan Mohanty2, Anders Irbäck1
1Computational Biology and Biological Physics, Department of Astronomy and Theoretical Physics, Lund University, Sölvegatan 14A, SE-223 62 Lund, Sweden.
Abstract:
We use Markov state models (MSMs) to analyze the dynamics of a β-hairpin-forming peptide in Monte Carlo (MC) simulations with interacting protein crowders, for two different types of crowder proteins [bovine pancreatic trypsin inhibitor (BPTI) and GB1]. In these systems, at the temperature used, the peptide can be folded or unfolded and bound or unbound to crowder molecules. Four or five major free-energy minima can be identified. To estimate the dominant MC relaxation times of the peptide, we build MSMs using a range of different time resolutions or lag times. We show that stable relaxation-time estimates can be obtained from the MSM eigenfunctions through fits to autocorrelation data. The eigenfunctions remain sufficiently accurate to permit stable relaxation-time estimation down to small lag times, at which point simple estimates based on the corresponding eigenvalues have large systematic uncertainties. The presence of the crowders has a stabilizing effect on the peptide, especially with BPTI crowders, which can be attributed to a reduced unfolding rate ku, while the folding rate kf is left largely unchanged.
Insights
Markov state models reveal protein crowders stabilize peptides. Interacting crowders, like BPTI and GB1, reduce peptide unfolding rates, influencing peptide dynamics and folding.
Area of Science:
- Computational Biophysics
- Protein Dynamics
- Statistical Mechanics
Background:
- Understanding peptide and protein dynamics is crucial in molecular biology.
- Protein crowders significantly influence biomolecular behavior, but their precise effects are complex.
- Markov state models (MSMs) offer a powerful framework for analyzing complex molecular dynamics.
Purpose of the Study:
- To analyze the dynamics of a β-hairpin-forming peptide in the presence of interacting protein crowders.
- To investigate the influence of different crowder types (BPTI and GB1) on peptide folding and unfolding rates.
- To estimate dominant relaxation times of the peptide using Markov state models.
Main Methods:
- Utilized Monte Carlo (MC) simulations to model peptide-crowder interactions.
- Constructed Markov state models (MSMs) with varying time resolutions (lag times).
- Employed MSM eigenfunctions and autocorrelation data fitting for relaxation time estimation.
Main Results:
- Identified four to five major free-energy minima in the simulated systems.
- Demonstrated stable estimation of peptide relaxation times using MSM eigenfunctions, even at small lag times.
- Observed a stabilizing effect of protein crowders on the peptide, particularly BPTI crowders.
- Attributed the stabilization to a reduced unfolding rate (ku) with largely unchanged folding rate (kf).
Conclusions:
- Markov state models effectively capture peptide dynamics in the presence of crowders.
- Protein crowders, especially BPTI, significantly stabilize the β-hairpin peptide by slowing down unfolding.
- MSM eigenfunctions provide robust estimates of relaxation times, crucial for understanding molecular kinetics.
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