Another way to say "with the come of" is "with the advent of" (advent descends etymologically from a word that means "come", according to etymonline.com):
advent noun [ S ] uk /ˈæd.vent/ /ˈæd.vənt/ us /ˈæd.vent/ /ˈæd.vənt/ the fact of an event happening, an invention being made, or a person arriving:
"Life was transformed by the advent of the steam engine."
"The advent of the gramophone transformed the cultural conditions of contemporary music, including the way it was taught."
Or "with the emergency of", from https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4433644/
Recently, with the emergency of microarray technology that can monitor thousands of genes simultaneously, gene biomarkers are being detected for oral cancers. For example, Saintigny et al.  defined a 29-transcripts signature while Kondoh et al.  defined another 11-genes signature that can help separate oral cancers developed from OLKs from normal OLKs.