  We comment on the recent paper by A. D. Dolgov, S. H. Hansen, S. Pastor and
D. V. Semikoz (DHPS) [Astropart. Phys. {\bf 14}, 79 (2000)] on the generation
of neutrino asymmetries from active-sterile neutrino oscillations. We
demonstrate that the approximate asymmetry evolution equation obtained therein
is an expansion, up to a minor discrepancy, of the well-established static
approximation equation, valid only when the supposedly new higher order
correction term is small. In the regime where this so-called ``back-reaction''
term is large and artificially terminates the asymmetry growth, their evolution
equation ceases to be a faithful approximation to the Quantum Kinetic Equations
(QKEs) simply because pure Mikheyev-Smirnov-Wolfenstein (MSW) transitions have
been neglected. At low temperatures the MSW effect is the dominant asymmetry
amplifier. Neither the static nor the DHPS approach contains this important
physics. Therefore we conclude that the DHPS results have sufficient veracity
at the onset of explosive asymmetry generation, but are invalid in the ensuing
low temperature epoch where MSW conversions are able to enhance the asymmetry
to values of order $0.2 - 0.37$. DHPS do claim to find a significant final
asymmetry for very large $\delta m^2$ values. However, for this regime the
effective potential they employed is not valid.
