A mathematical quantum model for the replication of DNAs waves within skin cell and for growth of melanoma

Abstract Up to day, the role of ultraviolet rays in producing cancers like melanoma has been considered extensively. However, quantum effects on the evolutions of melanoma has been discussed minorly. In this research, we propose a quantum model for the replication of DNAs within skin cells. We show that ultraviolet rays prevent of imaging information within genes of parent cells on genes of child cells and make some genetic errors in produced DNAs during replications. We compare the model with experimental data and obtain the growth rate of tumour on the skin.