The emphasis is laid upon the presence of a dynamic parameter in the kinetic model of the dynamics of dilute polymer solutions. The parameter represents the strength of dynamical polymer-solvent interactions. The draining effect on transport properties is considered with due attention paid to this physically significant parameter. It is shown that most of the conventional dimensionless ratios such as Flory's P-factor, intrinsic viscosity factor, etc., are nonuniversal even in the scaling limit.