Gaussian curvature and the budding kinetics of enveloped viruses

Sanjay Dharmavaram1, Selene Baochen She2, Guillermo Lázaro3

  • 1Department of Mathematics, Bucknell University, Lewisburg, Pennsylvania, United States of America.

Insights

Virus budding can pause due to a physical energy barrier created by the neck geometry. This kinetic phenomenon, driven by capsid and neck curvature, explains stalled virus release.

Area of Science:

  • Virology
  • Biophysics
  • Computational Biology

Background:

  • Membrane-enveloped virus formation involves capsid protein assembly and plasma membrane budding.
  • Virus budding often stalls before release, a phenomenon previously unexplained.
  • Recent simulations suggest the stalling originates from the physics of the budding process.

Purpose of the Study:

  • To propose a physical explanation for the pausing and stalling observed during enveloped virus budding.
  • To investigate the role of neck geometry and curvature in the budding process.
  • To develop a continuum theory describing the kinetic barriers in virus budding.

Main Methods:

  • Utilizing Brownian dynamics simulations of a coarse-grained model.
  • Analyzing the geometrical properties of the budding neck and assembling capsid.
  • Developing and applying a continuum theory to model the budding process.
  • Comparing theoretical predictions with simulation results.

Main Results:

  • Identified a geometrical potential energy barrier during virus budding.
  • Demonstrated that this barrier arises from conflicting curvatures between the capsid and the neck region.
  • Characterized the stalling as a kinetic phenomenon driven by capsid protein diffusion and incorporation.
  • Validated the continuum theory against Brownian dynamics simulations.

Conclusions:

  • The pausing and stalling of enveloped virus budding is a kinetic phenomenon governed by neck geometry.
  • A curvature mismatch between the assembling capsid and the budding neck creates a significant energy barrier.
  • The proposed continuum theory accurately describes the physics underlying stalled virus release.

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