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Structural Information from Single-molecule FRET Experiments Using the Fast Nano-positioning System

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Fast fixation with a generic network structure.

Gareth J Baxter¹, Richard A Blythe, Alan J McKane

¹Department of Physics & I3N, University of Aveiro, 3810-193 Aveiro, Portugal.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|October 4, 2012

Summary

This summary is machine-generated.

This study reveals that network asymmetry, not just structure, impacts fixation time in stochastic copying models. Varying copying likelihood accelerates fixation, even in uniform networks.

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Area of Science:

Complex systems
Mathematical modeling
Network dynamics

Background:

Stochastic copying processes are fundamental to various scientific fields, including population genetics, ecology, linguistics, and opinion dynamics.
These models often exhibit absorbing fixation states, where all network nodes adopt a single state.
Previous research linked the mean fixation time to network size via degree distribution variations.

Purpose of the Study:

To explore how network asymmetry influences fixation time in stochastic copying processes.
To demonstrate that altering copying dynamics can affect fixation time independently of degree distribution.
To investigate the interplay between network degree distribution and asymmetry.

Main Methods:

Analysis of a broad class of stochastic copying models on networks.
Examination of models including Wright-Fisher, Hubbell-type, utterance selection, and voter models.
Varying network asymmetry (copying likelihood) while keeping degree distribution constant.

Main Results:

Mean fixation time can be accelerated by increasing asymmetry in copying dynamics.
This acceleration occurs even on homogeneous networks where certain nodes are preferentially copied.
A complex interplay exists between degree distribution and asymmetry, with robust results to network correlations.

Conclusions:

Network asymmetry is a critical factor, alongside degree distribution, in determining fixation times.
Preferential copying can significantly speed up fixation processes in networked systems.
The findings offer a more nuanced understanding of evolutionary and social dynamics on networks.