In this paper, a mathematical model describing blood flow in the deforming porous channel is solved numerically. The blood flow is considered as a micropolar fluid flow. The governing system of nonlinear partial differential equations is reduced to a nonlinear system of ordinary boundary value problem by using some suitable similar transformations. An efficient numerical technique based on the integration radial basis function process, IRBF, coupled with collocation method is performed to approximate the solution of the boundary value problem. Numerical results are presented through the figures and tables to demonstrate efficiency, accuracy, and convergence of the method. Moreover, the effects of various embedded model parameters such as expansion ratio, slip coefficient and others on flow velocity profiles have been explained graphically.