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].
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Nawar et al. (2018) studied this question.