A simple model is proposed aimed to investigate how the amount of dissociated ions influences
mechanical stability of viral capsids. After an osmotic and mechanical equilibrium is established
with the outer solution, a non-adiabatic change in salt concentration at the external environment
is considered, which results in a significant solvent inflow across the capsid surface, eventually
leading to its rupture.
The key assumption behind such an osmotic shock mechanism is that
solvent flow takes place at timescales much shorter than the ones typical of ionic diffusion.
In
order to theoretically describe this effect, we herein propose a thermodynamic model based on the
traditional Flory theory. The proposed approach is further combined with a continuum Hookian
elastic model of surface stretching and pore-opening along the lines of a Classical Nucleation Theory
(CNT), allowing us to establish the conditions under which capsid mechanical instability takes
place. It is shown that,
depending on the particular combination of initial condition and capsid surface strength, the capsid
can either become unstable after removal of a prescribed amount of external salt, or be fully stable
against osmotic shock, regardless of the amount of ionic dilution.