# Eigenvalues of the Homogeneous Finite Linear One Step Master Equation: Applications to Downhill Folding

Source: [Eigenvalues of the Homogeneous Finite Linear One Step Master Equation: Applications to Downhill Folding](<https://www.sota2.com/research/paper/68fa30831e209131ce876154>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T18:16:07.939Z

Authors: Thomas Lane, Vijay Pande

Published: 2012-09-01T00:09:18.000Z

## Abstract

Motivated by claims about the nature of the observed timescales in protein systems said to fold downhill, we have studied the finite, linear master equation which is a model of the downhill process. By solving for the system eigenvalues, we prove the often stated claim that in situations where there is no free energy barrier, a transition between single and multi-exponential kinetics occurs at sufficient bias (towards the native state). Consequences for protein folding, especially the downhill folding scenario, are briefly discussed.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1209.0037>)

[PDF](<https://arxiv.org/pdf/1209.0037.pdf>)