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A reaction-diffusion model of receptor-toxin-antibody (RTA) interaction isstudied numerically. The protective properties of an antibody against a giventoxin are evaluated for a spherical cell placed into a toxin-antibody solution.The selection of parameters for numerical simulation approximately correspondsto the practically relevant values reported in the literature (ricin andmonoclonal antibody 2B11) with the significant ranges in variation to allowdemonstration of different regimes of intracellular transport.  The proposed refinement of the RTA model may become important for theconsistent evaluation of protective potential of an antibody and for theestimation of the time period during which the application of this antibodybecomes the most effective. It can be a useful tool for in vitro selection ofpotential protective antibodies for progression to in vivo evaluation.

The receptor-toxin-antibody interaction: Mathematical model and numerical simulation