Abstract: We study the molecular evolution of insulin from metric geometry point of view. In mathematics, and in particular in geometry, distances and metrics between objects are of fundamental importance.
Using a weaker notion than the classical distance, namely the weighted quasi-metrics, one can study the geometry of biological
sequences (DNA, mRNA, or proteins) space.
We analyze from geometrical point of view a family of 60 insulin homologous sequences ranging on a large variety of living organisms from human to the nematode C. elegans. We show that the distances between sequences provide important information about the evolution and function of insulin.