This thesis addresses the basic ideas and approaches used when parallelizing biologically inspired algorithms. Its foundation is an attempt of speeding up an algorithm developed on the Jožef Stefan Institute, that is based on the stigmergy of ants. How? With the use of graphics processor and the intended framework, OpenCL. What had to be done was to prepare a set of the so called code kernels that will take pieces of the algorithm suited for parallel computing, and execute them on the graphics card; optimize them as much as possible, and perform the required measurements. The thesis describes individual steps of the parallelized algorithm, it provides some general guidelines for the parallelization of biologically inspired algorithm...