In this paper,new forms of nano topological spaces through a neighborhood system of vertices for a digraph will be presented and studied.We apply the connection between digraph theory and nano topological spaces in the human heart as an example in real life.We have a blood flow system in the human heart with respect to oxygenated and deoxygenated blood circulation.Our study will be definitely helpful to develop a tool in solving the blood flow system in the human heart.Finally,we have succeeded in improving Proposition 1.6 in [7] and Proposition 4.4.1 in [11].