1Department of Mathematics, University of Kerala, Kariavattom, Thiruvananthapuram-695581, Kerala, India
2Department of Mathematics, University of Kerala, Kariavattom, Thiruvananthapuram-695581, Kerala, India
Online published on 19 April, 2019.
Graph theoretical analysis is an important area of research in biological networks. In this work we defined a new graph called Neuropeptide C**− graph obtained from C**− set of each protein/peptide graphs of fifteen neuropeptides which involved in the brain function-learning and memory processes. From the graph theoretical analysis we got some observations about the relation among the fifteen neuropeptides. The highest centrality measures of the neuropeptides Beta-endorphin, Galanin, Neuropeptide Y, Oxytocin and Substance P revealed the critical vertices of the graph and they also gave the prominent neuropeptides involved in the learning and memory processes. The neuropeptide C**− graph showed that all the neuropeptides were connected because every pairs of neuropeptides were inter related by atleast one amino acid which recieved atleast one highest centrality measure and revealed the strength of the relation between neuropeptides with in the brain function-learning and memory processes. This work may help in the study of the mechanisms involved in learning, memory processes and other brain functions and would aid in developing better solutions to treat diseases like Alzheimer's. Its application may also help in the study of the evolution of neuropeptides involved in learning and memory processes and other brain functions in different species of animals.
Amino acid, neuroeptide, Pt-graph, Neuropeptide graph, Centrality measure