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Published on: October 23, 2016
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.
Abstract:
The formation of a membrane-enveloped virus starts with the assembly of a curved layer of capsid proteins lining the interior of the plasma membrane (PM) of the host cell. This layer develops into a spherical shell (capsid) enveloped by a lipid-rich membrane. In many cases, the budding process stalls prior to the release of the virus. Recently, Brownian dynamics simulations of a coarse-grained model system reproduced protracted pausing and stalling, which suggests that the origin of pausing/stalling is to be found in the physics of the budding process. Here, we propose that the pausing/stalling observed in the simulations can be understood as a purely kinetic phenomenon associated with the neck geometry. A geometrical potential energy barrier develops during the budding that must be overcome by capsid proteins diffusing along the membrane prior to incorporation into the capsid. The barrier is generated by a conflict between the positive Gauss curvature of the assembling capsid and the negative Gauss curvature of the neck region. A continuum theory description is proposed and is compared with the Brownian simulations of the budding of enveloped viruses.
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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