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The phrase "a partial breakdown of" is correct and usable in written English.
It can be used when discussing an incomplete or limited analysis or disintegration of a subject or system.
Example: "The report provides a partial breakdown of the project's budget, highlighting the main expenses incurred so far."
Alternatives: "an incomplete analysis of" or "a limited dissection of".
Exact(14)
Before calcium entry, a partial breakdown of the membrane potential was observed in both polar regions.
A declaration of emergency entails a partial breakdown of the constitutional order; for the period of the emergency, the protection of certain rights can be suspended.
The years after World War II, though, brought a partial breakdown of the British opposition to American cultural anthropology, as younger scholars abandoned the tenets of comparative sociology set out by one of the discipline's founders, A.R. Radcliffe-Brown.
EUROPEAN leaders seemed to understand, at least until recently, that even a partial breakdown of the euro zone would have a devastating economic and political impact on departing countries and on the European Union as a whole.
A partial breakdown of passenger nationalities was released early on Friday, showing that 154 Dutch nationals, 43 Malaysians and 27 Australians were on board, along with nine passengers believed to be from the UK, four each from Germany and Belgium, three from the Philippines, one Canadian and 41 unverified.
Very recently, a partial breakdown of resistance to Pseudomonas syringae has been observed when feeding Tobacco plants with NH4+ (Gupta et al. 2013).
Similar(46)
Another implication of global liberalization has been a partial breakdown in the pre-existing linkage between the prices of goods and services on the one hand and of assets on the other.
The failure rate of over 50% means a partial breakdown in the cold chain or, more likely, its inappropriate management at the point of delivery (for example, partially used multi-shot vials left open or in the light).
A corona discharge arises from an ionization and partial breakdown of surrounding atmospheric gases at a highly curved electrode within a strong electric field.
This pattern of results seems to suggest the aIT is important for face recognition and a partial breakdown in the communication between the fusiform gyrus and the aIT may be a plausible source of face individuation deficits.
The salient question is whether these results are best explained by secondary contact between M and S and partial breakdown of extrinsic mechanisms of isolation, or alternatively, by a less advanced speciation process characterized by a high degree of shared ancestral polymorphisms.
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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