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Journal ArticleDOI

Diffusion–collision model for protein folding

Martin Karplus, +1 more
- 01 Jun 1979 - 
- Vol. 18, Iss: 6, pp 1421-1437
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TLDR
The basic equations for the elementary step in the diffusioncollision-coalescence model of protein folding are derived for the case of two radially diffusing spherical microdomains.
Abstract
The basic equations for the elementary step in the diffusion–collision–coalescence model of protein folding are derived for the case of two radially diffusing spherical microdomains. Refinements and biological implications of the mechanism are considered; included are detailed discussions of the parameters of the model, the possibilities of rotational diffusion and surface diffusion in one or two dimensions, the nature of the microdomains, and the application of the model to protein unfolding.

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Citations
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Journal ArticleDOI

Funnels, pathways, and the energy landscape of protein folding: A synthesis

TL;DR: The work unifies several previously proposed ideas concerning the mechanism protein folding and delimits the regions of validity of these ideas under different thermodynamic conditions.
Journal ArticleDOI

The Protein Folding Problem

TL;DR: There is now a testable explanation for how a protein can fold so quickly: A protein solves its large global optimization problem as a series of smaller local optimization problems, growing and assembling the native structure from peptide fragments, local structures first.
Book ChapterDOI

Computational Complexity, Protein Structure Prediction, and the Levinthal Paradox

TL;DR: At least some protein molecules, when denatured by disrupting conditions in their environment, can spontaneously refold to their native structures when proper physiological conditions are restored.
Journal ArticleDOI

First passage time approach to diffusion controlled reactions

TL;DR: In this article, an inhomogeneous differential equation is derived which yields τ by simple quadrature without taking recourse to detailed cumbersome time-dependent solutions of the original Smoluchowski equation.
Journal ArticleDOI

Folding and association of proteins

TL;DR: For small proteins successive stages in the folding have been resolved kinetically; these suggest that H-bonded elements of secondary structure are formed first, followed by folding steps to generate the complete tertiary structure.
References
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Journal ArticleDOI

Brownian motion in a field of force and the diffusion model of chemical reactions

TL;DR: In this article, a particle which is caught in a potential hole and which, through the shuttling action of Brownian motion, can escape over a potential barrier yields a suitable model for elucidating the applicability of the transition state method for calculating the rate of chemical reactions.
Journal ArticleDOI

Structural patterns in globular proteins

TL;DR: A simple diagrammatic representation has been used to show the arrangement of α helices and β sheets in 31 globular proteins, which are classified into four clearly separated classes.
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