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Self-assembly of Complex Two-dimensional Shapes from Single-stranded DNA Tiles
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Evolutionary dynamics in a simple model of self-assembly.

Iain G Johnston1, Sebastian E Ahnert, Jonathan P K Doye

  • 1Rudolf Peierls Centre for Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX1 3NP, United Kingdom.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|July 30, 2011
PubMed
Summary
This summary is machine-generated.

This study models the evolution of self-assembling polyominoes using a genetic algorithm. It reveals how evolutionary dynamics depend on fitness landscapes and applies findings to protein symmetry.

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Area of Science:

  • Computational Biology
  • Evolutionary Computation
  • Biophysics

Background:

  • Self-assembly is crucial for biological structures.
  • Understanding the evolution of self-assembly mechanisms is key.
  • Polyominoes provide a model for studying self-assembly rules.

Purpose of the Study:

  • To investigate evolutionary dynamics in a model of robust two-dimensional structure self-assembly.
  • To explore the relationship between genetic rules (genotype) and assembled structures (phenotype).
  • To apply the model to understand symmetry preferences in protein structures.

Main Methods:

  • Developed an idealized model for polyomino self-assembly.
  • Incorporated a genotype-phenotype map into a genetic algorithm.
  • Evolved rule sets under selection for target structures.
  • Analyzed evolutionary dynamics based on population size, mutation rate, and recombination.

Main Results:

  • The model exhibits complex evolutionary dynamics influenced by fitness landscape parameters.
  • Characterized model genome space to link dynamics with landscape structure.
  • Demonstrated how evolutionary pressures shape self-assembly rules.
  • Observed emergence of dihedral symmetry preference in the model.

Conclusions:

  • The genetic algorithm effectively models the evolution of self-assembly.
  • Fitness landscape structure significantly impacts evolutionary trajectories.
  • The model provides insights into the evolution of structural symmetry in biological systems, specifically protein tetramers.