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The phrase "a negative feedback loop" is correct and usable in written English.
It can be used in contexts related to systems theory, biology, psychology, and engineering, where feedback mechanisms are discussed.
Example: "In the ecosystem, a negative feedback loop helps maintain balance by regulating population sizes."
Alternatives: "a detrimental feedback cycle" or "an adverse feedback mechanism."
Exact(60)
"At some point, you'll have a negative feedback loop.
Ayala, Y. M. et al. TDP-43 regulates its mRNA levels through a negative feedback loop.
That's not possible when you're stuck in a negative feedback loop.
"There were no jobs for those people to move into … So that creates a negative feedback loop," Urdan said.
Non-canonical NF-κB is regulated by a negative feedback loop involving NIK-mediated activation of SIX1 and SIX2.
van Boxtel, R. et al. FOXP1 acts through a negative feedback loop to suppress FOXO-induced apoptosis.
This is a negative feedback loop.
As an investment story, Brazil still faces a negative feedback loop.
A low ranking could create a negative feedback loop that could make things worse.
Higher rates then translate into more deficits and debt, making the crisis somewhat self-fulfilling – a negative feedback loop.
There is a negative feedback loop with no balancing loop to stop the drift [49].
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com