The phrase "are possibly based on" is correct and usable in written English.
It can be used when discussing theories, ideas, or conclusions that may have been derived from certain sources or influences, indicating uncertainty.
Example: "The findings of this study are possibly based on previous research conducted in the same field."
Alternatives: "may be derived from" or "could be influenced by".
The figures were possibly based on the painter Duncan Grant and the Stephens sisters, the novelist Virginia Woolf and the painter Vanessa Bell, who would later vie for Grant's attentions.
Modiano's first novel, La Place de l'Étoile (1968; "The Star's Place," a reference to the yellow star that Jews were forced to wear on their clothing), concerns a Jewish collaborator and is possibly based on Modiano's father.
The comparison shows that the growth mechanism is possibly based on the variation of the ratio (R) of the Cu2O crystal growth rates along the {1 0 0} and {1 1 1} direction.
Although many people say they have no idea why the number is so reviled, it is possibly based on the apocryphal tale of a pimp who worked in the western city of Herat who had both a 39 number plate and lived in an apartment numbered 39.
Quick growth in the first period was possibly based on whey-borne ammonium while the temporal slowdown of growth in the second period perhaps came about through the adaptation of yeast metabolism to urea assimilation after NH4-N depletion.
The hundreds were possibly based on older, already existing units, but the establishment of the new form of hundreds was prompted by an increase in royal power during the High Middle Ages.
So, the high SEMagreement (34.4°) of the interrater agreement is possibly based on a systematic error.
13 This perception is possibly based on the fallacy that BP levels need to be higher in older patients because of atherosclerotic alterations of cerebral vessels.
This is possibly based on the low turnover in the intelligence function of NHSB (the two subcommittees) and the national health policy and systems research capacities".
This finding is possibly based on the fact that midazolam was the main sedative drug used in our units in the baseline period and on current knowledge regarding the association between benzodiazepines and poor outcomes [ 4, 12].
