{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,17]],"date-time":"2026-10-17T10:49:07Z","timestamp":1792234147951,"version":"4.4.0"},"reference-count":22,"publisher":"Optica Publishing Group","issue":"5","license":[{"start":{"date-parts":[[2026,4,16]],"date-time":"2026-04-16T00:00:00Z","timestamp":1776297600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/doi.org\/10.1364\/OA_License_v2#VOR"},{"start":{"date-parts":[[2026,4,16]],"date-time":"2026-04-16T00:00:00Z","timestamp":1776297600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/opg.optica.org\/policies\/opg-tdm-policy.json"}],"content-domain":{"domain":["opg.optica.org"],"crossmark-restriction":false},"short-container-title":["J. Opt. Soc. Am. A"],"published-print":{"date-parts":[[2026,5,1]]},"abstract":"<jats:p>\n                    We derive closed-form analytical sensitivities of pseudophakic refraction with respect to corneal power (\n                    <jats:italic>K<\/jats:italic>\n                    ), axial length (\n                    <jats:italic>L<\/jats:italic>\n                    ), effective lens position (\n                    <jats:italic>E<\/jats:italic>\n                    ), and intraocular (IOL) power (\n                    <jats:italic>P<\/jats:italic>\n                    ) from a single implicit paraxial vergence equation. Each partial derivative is expressed in both local-vergence and parameter-only forms, with explicit reference-plane conventions (corneal versus spectacle). The axial-length sensitivity scales as\n                    <jats:italic>T<\/jats:italic>\n                    <jats:sup>\u22122<\/jats:sup>\n                    , predicting increased vulnerability in short eyes. The effective lens position (ELP) sensitivity admits a factorization explaining the empirical heuristic \u0394\n                    <jats:italic>R<\/jats:italic>\n                    \u22480.0006(\n                    <jats:italic>P<\/jats:italic>\n                    <jats:sup>2<\/jats:sup>\n                    +2\n                    <jats:italic>K<\/jats:italic>\n                    <jats:italic>P<\/jats:italic>\n                    )\u0394\n                    <jats:italic>E<\/jats:italic>\n                    <jats:sub>mm<\/jats:sub>\n                    . The IOL-power adjustment ratio\n                    <jats:italic>Q<\/jats:italic>\n                    =(\n                    <jats:italic>\u2202<\/jats:italic>\n                    <jats:italic>R<\/jats:italic>\n                    \/\n                    <jats:italic>\u2202<\/jats:italic>\n                    <jats:italic>P<\/jats:italic>\n                    )\n                    <jats:sup>\u22121<\/jats:sup>\n                    matches a previously published expression, confirming independence from\n                    <jats:italic>P<\/jats:italic>\n                    and\n                    <jats:italic>L<\/jats:italic>\n                    . Clinical application to uncertainty budgeting reveals that the ELP prediction dominates refractive variance in short eyes, while keratometry dominates in long and post-refractive-surgery eyes.\n                  <\/jats:p>","DOI":"10.1364\/josaa.591472","type":"journal-article","created":{"date-parts":[[2026,3,23]],"date-time":"2026-03-23T20:00:08Z","timestamp":1774296008000},"page":"777","update-policy":"https:\/\/doi.org\/10.1364\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["IOL power calculation in cataract surgery: closed-form sensitivities to biometric uncertainties"],"prefix":"10.1364","volume":"43","author":[{"given":"Damien","family":"Gatinel","sequence":"first","affiliation":[{"name":"Rothschild Foundation Hospital"},{"name":"Abulcassis International University of Health Sciences"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jacques","family":"Malet","sequence":"additional","affiliation":[{"name":"Rothschild Foundation Hospital"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"285","published-online":{"date-parts":[[2026,4,16]]},"reference":[{"key":"josaa-43-5-777-R1","doi-asserted-by":"publisher","first-page":"125","DOI":"10.1016\/S0886-3350(13)80917-0","type":"journal-article","volume":"18","author":"Olsen","year":"1992","journal-title":"J. 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All rights, including for text and data mining (TDM), Artificial Intelligence (AI) training, and similar technologies, are reserved.","name":"copyright","label":"Copyright"}]}}