The phrase "as shown by modifications" is correct and usable in written English.
It can be used when referring to changes or alterations that illustrate a point or support a statement.
Example: "The results of the experiment were significantly improved, as shown by modifications in the methodology."
Alternatives: "as indicated by changes" or "as demonstrated by adjustments".
According to the former theory, nasal stimulation could have modified the subjects' state of consciousness through the modulation of neural electrical activity as shown by the modification of EEG features both in temporal and spatial domains.
As shown by DEMS, the surface modification shifts the onset potential for oxygen evolution reaction on the Cu PVC composite electrode towards more anodic values.
As shown by several studies, the simple modification of a part of an interface can change information seeking and eye movement behaviors, as well as decision-making processes, and therefore can modulate how a task is performed (McCrickard et al., 2003; Rousseau et al., 2007).
Similarly, PP/PS-b, which crystallized predominantly in the γ form under high pressure, after re-melting and crystallization in the DSC contained solely the α modification, as shown by respective WAXD diffractogram in Fig. 7b.
The immune response evoked in mice after intraperitoneal infection of 30 micrograms of gal-streptavidin was decreased after PEG modification, as shown by lower antibody titres and a reduction in the number of mice that elicited an anti-gal-streptavidin response.
In vivo dietary-induced hypocalcemia and hypophosphatemia as well as adenine-induced renal failure and the calcimimetic R568 lead to post-translational modifications of AUF1 as shown by 2D gels [ 7, 27].
Alignment in figures as well as phylograms are as shown by the ClustalW2 program web pages, with some modifications.
A decrease in the activity of the nucleolus is especially remarkable, accompanied by a significant reduction in size and the modification in nucleolar architecture, as shown by FISH.
The modification increases the rigidity of polymers as shown by d.s.c.s.c
All these procedures resulted in modification of the host hormonal milieu, as shown by blood hormone determination.
