Abstract
A new mathematical model for virus transport in one-dimensional homogeneous, saturated porous media for a constant flux boundary condition is developed, accounting for first-order inactivation of suspended and filtered viruses with different inactivation constants. The virus attachment onto the solid matrix is considered as a filtration process which is suitable for viruses behaving as colloids. The closed-form analytical solutions are developed for a semi-infinite porous medium by Laplace transform techniques. The impact of the model parameters on virus transport is examined.
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