A mathematical model of a continuous counter-current dialyzer in the case of the transport of one component, which is based on the mass balance and balance of transported component, has been presented. It enables users to calculate the component recovery yield if parameters of the dialyzer (height, dimensions of compartments), parameters of the membrane (thickness, partition coefficients, diffusivity of the component in the membrane, flux of solution through the membrane), parameters of liquids in both the compartments (density, viscosity, diffusivity of the component) and parameters of streams entering the dialyzer (component concentration, volumetric liquid flow rate) are specified. (C) 2009 Elsevier B.V. All rights reserved.