He graduated from the N. I. Lobachevsky State University of Nizhny Novgorod in 1970.
From 1991 to 2016, Krylov headed the Department of Physiology and Biochemistry of Humans and Animals at the Lobachevsky University (UNN).
[1][3] Since 1997,[5] he heads the Russian Apitherapy Coordinating Council (under the Ministry of Agriculture).
[6] He is now a professor on Department of Biochemistry and Physiology at the UNN Institute of Biology and Biomedicine and a member of the editorial board of the journal "Pchelovodstvo".
He is the author of books (in Russian) including "Bee venom: Properties, reception, application" (1995), "Bee venom in scientific and practical medicine" (2002), "Theory and means of apitherapy" (2007, in cooperation with Academician N. I. Krivtsov, V. I. Lebedev et al.), "Zootoxinology" (2015).