The phrase "changes under the influence of" is correct and usable in written English.
You can use this phrase when talking about how something alters or is altered in response to external forces. For example, "The political landscape of the country changed under the influence of new laws."
The human endometrium undergoes extensive morphological, biochemical and molecular changes under the influence of female sex steroid hormones.
By the time most of them were published (between 1561 and 1575), italic writing had undergone radical changes under the influence of the Vatican scribe Gianfrancesco Cresci.
It is well known that the acoustic performance of a splitter silencer changes under the influence of the convective effects of a mean gas flow and so in this article a theoretical model is developed to include the effects of mean flow.
Plants, too, have undergone substantial changes under the influence of prolonged artificial selection.
As explained below in more detail, it is in principle possible that the mechanism of pyrite oxidation changes under the influence of visible light.
Seasonal precipitation changes under the influence of large-scale climate oscillations in the East River basin were studied using daily precipitation data at 29 rain stations during 1959 2010.
By the late 1870s, Whittredge's style changed under the influence of the then popular Hudson River school painters.
The numbers are likely to change under the influence of the accounting board's new rule, which limits certain uses of mark-to-market accounting.
But life in prison was starting to change under the influence of the caids – leaders of the new trend towards a more forceful assertion of Muslim identity.
Mapping how our neural circuits change under the influence of anesthesia could shed light on one of neuroscience's most perplexing riddles: consciousness.
As Richard Handler and Eric Gable point out in their 1997 book, "The New History in an Old Museum: Creating the Past at Colonial Williamsburg," the perspective changed under the influence of social and political historians in the 1970s.
