切る => Give up, stop... N3
Happens next
切る/切れる/切れない => to do something completely to the end/unable to do; too much to finish/complete N3
を中心に => focused on; centered on~ N2
[切「き」]れない => Can't finish/complete A N3
Potential, Possibility
[中心「ちゅうしん」]に => With A as the center N2
Miscellaneous
~をかわきりに(~を皮切りに)      => One after another; starting with ~ N1