Matrix representation and simulation algorithm of numerical spiking neural P systems

Spiking neural P systems (SNP systems) are biologically inspired models of computation based on the firing behavior of neurons. Variations of these systems have been proposed to solve more specific problems. A more recent variation called the numerical spiking neural P systems combines concepts from SNP systems and numerical P systems to create a new model of computation. This model allows continuous production functions and, in effect, allows for faster computation. In this work, we propose a matrix representation and a corresponding simulation algorithm for NSNP systems. Having a matrix representation and a simulation algorithm allows for testing of solutions in silico . We also present an NSNP system that solves the subset sum problem, and use the matrix representation and simulation algorithm to obtain the solution.