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Related Experiment Videos

Assembly models for Papovaviridae based on tiling theory.

T Keef1, A Taormina, R Twarock

  • 1Department of Mathematics, University of York, York YO10 5DD, UK. tk506@york.ac.uk

Physical Biology
|October 15, 2005
PubMed
Summary

Viral capsids, protein shells protecting viral genomes, can have complex structures. This study models these complex viral capsid assemblies using tiling theory and phase space formalism, offering new insights into virus assembly pathways.

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Area of Science:

  • Biophysics
  • Structural Biology
  • Computational Biology

Background:

  • Viral capsids, protein shells protecting viral genomes, are crucial for virus structure and function.
  • Viruses in the Papovaviridae family, linked to cancer, present unique assembly challenges due to protein building blocks with varied bonding structures.
  • Existing models like Caspar-Klug theory do not fully capture these complex bonding arrangements.

Purpose of the Study:

  • To develop a mathematical model for viral capsid assembly, specifically for (pseudo-) T = 7 particles with heterogeneous bonding structures.
  • To utilize tiling theory and phase space formalism to analyze viral assembly pathways and intermediates.
  • To investigate the impact of varying association energies on capsid assembly dynamics.

Main Methods:

Related Experiment Videos

  • Application of tiling theory to encode local bonding environments into combinatorial structures (assembly trees).
  • Development of a phase space formalism to analyze assembly pathways and intermediates.
  • Utilizing an equilibrium approach based on Zlotnick's model for deriving assembly models.
  • Detailed analysis of Simian virus 40 as a case study.

Main Results:

  • A novel modeling approach using tiling theory and assembly trees successfully describes viral capsids with heterogeneous bonding structures.
  • The phase space formalism elucidates how variations in association energies alter assembly pathways and intermediates.
  • Identification of statistically dominant assembly intermediates and their concentrations.

Conclusions:

  • Tiling theory provides a robust framework for modeling complex viral capsid assembly, overcoming limitations of previous theories.
  • The phase space formalism offers a powerful tool for understanding the thermodynamics and kinetics of virus assembly.
  • This research provides a deeper understanding of Papovaviridae assembly, with implications for cancer research and virology.