In this article we attempt to extend a kinetic model of neural systems presented earlier, with the introduction of elements related to the dynamics of neurotransmitters. We emphasize the importance of neurotransmitters inducing slow inhibitory postsynaptic potentials (IPSPs) to smoothen the neural system activity obtained in computer simulations. Some kinetic equations are formulated to describe the activity of complex neural systems constituted of several possible subfields. The results of some computational experiments performed with a model of simple feed-forward neural system are described.