Emerging Vaccine-Breakthrough SARS-CoV-2 Variants.

"the detailed descriptions of data set and machine learning model are found in the literature and are available at topnetmab ( https://github com/weilabmsu/topnetmab accessed august 5 2021). 4 files are in this folder; (s2 1 1) antibodies_disruptmutation csv"

"the detailed descriptions of data set and machine learning model are found in the literature and are available at topnetmab ( https://github com/weilabmsu/topnetmab accessed august 5 2021).; the topnettree model is available at topnetmab ( https://github com/weilabmsu/topnetmab accessed august 5 2021)."

"The authors declare no competing financial interest."

"This work was supported in part by NIH Grant GM126189, NSF Grants DMS-2052983, DMS-1761320, and IIS-1900473, NASA Grant 80NSSC21M0023, Michigan Economic Development Corporation, MSU Foundation, Bristol-Myers Squibb 65109, and Pfizer. G.W.W. thanks the discussion with Dr. Peter Lyster which inspired this work."