Design a membrane system for matrix multiplication

Membrane systems are a framework of distributed parallel computing models, inspired by some basic features of biological membranes. In this paper, a membrane computing system named ΠMM is proposed to solve multiplication operation with matrices by its parallelism. It mainly includes three stages: firstly, construct new embedded membranes and input the values of two matrices; secondly, divide the membranes to generate new membranes according to the rows of matrix; finally, the solutions are obtained in each row membranes under the relatively calculation rules side by side. An instance is given to show the whole procedure how to solve the matrix multiplication by the ΠMM.