The phrase "asserted using a" is correct and usable in written English.
It can be used when discussing how something is claimed or stated through a particular method or medium.
Example: "The theory was asserted using a series of compelling experiments that demonstrated its validity."
Alternatives: "claimed through a" or "stated via a".
If the markers in the two species are adjacent, and yet if in a third species the markers are not adjacent, then we assert, using a parsimony argument, that the break occurred in the lineage between that third species and its ancestor on the unique evolutionary path between the two species.
The Chaudhrys, he asserts, use a private family militia and the Punjab police to intimidate voters.
Since halfway through the 1960s the social movements active at an urban level have asserted, using the protest as a political resource (Lipsky 1965), the legitimacy of alternative forms of democracy to the representative one, developing a new conception of "bottom-up" democracy (Tilly 1978; Tarrow 1994; Gould et al. 1996).
Residual normality was asserted using the Shapiro-Wilk normality test.
Homology was also asserted using sequence context-specific profiles for homology searches (CS-BLAST; table 1) (Biegert and Soding 2009) for all meiosis-related genes.
"A nation of 'something small,' " he asserts, using still another bribery euphemism, "is a nation of small people".
Isn't the trial partly about police officers who, some assert, used racial stereotyping on Amadou Diallo?
Republicans have repeatedly asserted that using a filibuster to block a judicial nominee is unprecedented.
We assert that through using a focused ethnographic approach we were able to elicit insights into the interactions between parents and HCPs when parents were learning to deliver home-based clinical care, that are not readily available when using other methods.
Inadequate documentation methods were reported by 54% but 49% assert they use a template designed for billing compliance.
