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The valve was actuated by PBS solution, effectively preventing evaporation of the solution from the micro- and nanochambers and allowing the assay to be performed over a long period of time. The hydrolysis rates of β-D-galactosidase (β-gal), k_<cat>, were decreased according to the decrease of the chamber size, and the overall tendency seems to be symmetrically related to the specific surface area of the chambers even under the prevented condition of non-specific adsorption. The spatial localization of the protons in the chambers, which might could affect the dissociation state of the proteins, was also investigated to explain the decrease in the hydrolysis rate. 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University"},{"@language":"ja","@value":"名古屋大学"},{"@language":"en","@value":"Institute for Quantum Life Science, Quantum Life and Medical Science Directorate, National Institutes for Quantum Science and Technology"},{"@language":"ja","@value":"国立研究開発法人量子科学技術研究開発機構"},{"@language":"en","@value":"School of Pharmacy, College of Pharmacy, Kaohsiung Medical University"},{"@language":"ja","@value":"高雄醫學大學"}]}],"publication":{"publicationIdentifier":[{"@type":"EISSN","@value":"20452322"},{"@type":"PISSN","@value":"20452322"}],"prism:publicationName":[{"@language":"en","@value":"scientific reports"}],"dc:publisher":[{"@value":"Springer Nature"}],"prism:publicationDate":"2023-08-16","prism:volume":"13","prism:startingPage":"13322"},"reviewed":"false","dcterms:accessRights":"http://purl.org/coar/access_right/c_abf2","dc:rights":["Creative Commons Attribution International","© The Author(s) 2023"],"url":[{"@id":"https://www.nature.com/articles/s41598-023-40544-4.pdf"},{"@id":"https://www.nature.com/articles/s41598-023-40544-4"},{"@id":"https://www.researchsquare.com/article/rs-2614055/v1"},{"@id":"https://www.researchsquare.com/article/rs-2614055/v1.html"}],"foaf:topic":[{"@id":"https://cir.nii.ac.jp/all?q=Biochemical%20assays","dc:title":"Biochemical assays"},{"@id":"https://cir.nii.ac.jp/all?q=Lab-on-a-chip","dc:title":"Lab-on-a-chip"}],"dcterms:subject":[{"subjectScheme":"Other","notation":[{"@language":"en","@value":"Biochemical 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