{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,30]],"date-time":"2026-10-30T00:07:30Z","timestamp":1793318850936,"version":"4.5.0"},"reference-count":97,"publisher":"Public Library of Science (PLoS)","issue":"3","license":[{"start":{"date-parts":[[2025,3,17]],"date-time":"2025-03-17T00:00:00Z","timestamp":1742169600000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":["www.plosone.org"],"crossmark-restriction":false},"short-container-title":["PLoS ONE"],"abstract":"<jats:p>The magnitude of zonular forces required to change the shape of the human lens while focusing at near; i.e., accommodating, is still under investigation. During accommodation, ciliary muscle contraction induces a large increase in lens central optical power (COP). Here we used finite element (FE) analysis to evaluate the correlation between zonular forces and lens surface curvatures, central thickness, COP, overall lens shape and longitudinal spherical aberration (LSA). Fresh isolated lenses from donors aged 20, 24, 26, and 30 years were the basis for the analyses. Lens nucleus elastic moduli were specified as equal to, 2, 3, 10, 20 and 30 times greater than its cortex. When equatorial zonular (Ez) force was increased in 3.125 x 10<jats:sup>-6<\/jats:sup> N steps while the anterior zonular (Az) and posterior zonular (Pz) forces were decreased in 3.125 x 10<jats:sup>-6<\/jats:sup> N steps, COP was evaluated. Independent of the increase in lens nuclear modulus, less than 0.02\u2009N of Ez force was required to increase COP 10 diopters while Az and Pz forces were decreased. The lens peripheral surfaces flattened, central surfaces steepened, central lens thickness increased, COP increased and LSA shifted in the negative direction consistent with published <jats:italic>in vivo<\/jats:italic> accommodation studies. The minimal Ez force required to obtain 10 diopters of COP increase supports that increasing Ez force with decreasing Az and Pz force is the basis for the change in lens shape during accommodation. Since the COP increase was independent of increasing elastic modulus of the nucleus, stiffening of the lens nucleus is not the etiology of the universal age-related decline in accommodative amplitude that results in presbyopia in the fifth decade of life. Increased Ez zonular tension during accommodation has implications for the development and potential treatments of myopia, glaucoma, presbyopia, cortical cataracts and accommodative intraocular lens design.<\/jats:p>","DOI":"10.1371\/journal.pone.0317740","type":"journal-article","created":{"date-parts":[[2025,3,17]],"date-time":"2025-03-17T17:37:03Z","timestamp":1742233023000},"page":"e0317740","update-policy":"https:\/\/doi.org\/10.1371\/journal.pone.corrections_policy","source":"Crossref","is-referenced-by-count":5,"title":["Finite element analysis of the lens profile during accommodation"],"prefix":"10.1371","volume":"20","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2802-4031","authenticated-orcid":true,"given":"Ronald A.","family":"Schachar","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ira 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Opt"},{"issue":"1","key":"pone.0317740.ref011","doi-asserted-by":"crossref","first-page":"4004","DOI":"10.1038\/s41598-024-54674-w","article-title":"The potential influence of the ligament of Wieger on the crystalline lens shape","volume":"14","author":"H Ghaderi","year":"2024","journal-title":"Sci Rep"},{"issue":"1","key":"pone.0317740.ref012","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1113\/jphysiol.1971.sp009315","article-title":"The elastic constants of the human lens","volume":"212","author":"RF Fisher","year":"1971","journal-title":"J Physiol"},{"issue":"4","key":"pone.0317740.ref013","doi-asserted-by":"crossref","DOI":"10.1016\/j.preteyeres.2012.03.001","article-title":"The gradient index lens of the eye: an opto-biological synchrony","volume":"31","author":"BK Pierscionek","year":"2012","journal-title":"Prog Retin Eye 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Express"},{"key":"pone.0317740.ref020","doi-asserted-by":"crossref","first-page":"109558","DOI":"10.1016\/j.exer.2023.109558","article-title":"Viscoelastic properties of porcine lenses using optical coherence elastography and inverse finite element analysis","volume":"233","author":"I Cabeza-Gil","year":"2023","journal-title":"Exp Eye Res"},{"issue":"7","key":"pone.0317740.ref021","doi-asserted-by":"crossref","first-page":"1010","DOI":"10.1136\/bjo.2011.202895","article-title":"Viscoelastic properties of fresh human lenses under 40 years of age: implications for the aetiology of presbyopia","volume":"95","author":"RA Schachar","year":"2011","journal-title":"Br J Ophthalmol"},{"issue":"2\u20134","key":"pone.0317740.ref022","doi-asserted-by":"crossref","first-page":"216","DOI":"10.1159\/000264705","article-title":"Nucleus of the Human Lens","volume":"6","author":"J Nordmann","year":"1974","journal-title":"Ophthalmic Res"},{"issue":"2","key":"pone.0317740.ref023","doi-asserted-by":"crossref","first-page":"332","DOI":"10.1016\/j.exer.2006.10.007","article-title":"Mapping age-related elasticity changes in porcine lenses using bubble-based acoustic radiation force","volume":"84","author":"TN Erpelding","year":"2007","journal-title":"Exp Eye Res"},{"issue":"3","key":"pone.0317740.ref024","doi-asserted-by":"crossref","first-page":"035021","DOI":"10.1088\/2515-7647\/ad3e55","article-title":"Functional effects of the spatial-varying lens mechanical properties in accommodation","volume":"6","author":"J Schumacher","year":"2024","journal-title":"JPhys Photonics"},{"issue":"6","key":"pone.0317740.ref025","doi-asserted-by":"crossref","first-page":"729","DOI":"10.1006\/exer.1994.1159","article-title":"The effect of muscarinic agonists and selective receptor subtype antagonists on the contractile response of the isolated rhesus monkey ciliary muscle","volume":"59","author":"JF Poyer","year":"1994","journal-title":"Exp Eye Res"},{"key":"pone.0317740.ref026","doi-asserted-by":"crossref","first-page":"302","DOI":"10.1016\/j.exer.2006.10.003","article-title":"Edinger-Westphal and pharmacologically stimulated accommodative refractive changes and lens and ciliary process movements in rhesus monkeys","volume":"84","author":"LA Ostrin","year":"2007","journal-title":"Exp Eye Res"},{"key":"pone.0317740.ref027","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1167\/iovs.15-18169","article-title":"Nonhuman primate ocular biometry","volume":"57","author":"R Augusteyn","year":"2016","journal-title":"Investigative Ophthalmology & Visual Science"},{"issue":"1","key":"pone.0317740.ref028","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1016\/j.cmpb.2006.08.005","article-title":"Sensitivity study of human crystalline lens accommodation","volume":"85","author":"A Abolmaali","year":"2007","journal-title":"Comput Methods Programs 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human and monkey eyes","volume":"18","author":"J Rohen","year":"1979","journal-title":"Invest Ophthalmol Vis Sci"},{"key":"pone.0317740.ref037","doi-asserted-by":"crossref","first-page":"2053","DOI":"10.1167\/iovs.05-1002","article-title":"Human lens capsule thickness as a function of age and location along the sagittal lens perimeter","volume":"47","author":"R Barraquer","year":"2006","journal-title":"Invest Ophthalmol Vis Sci"},{"issue":"4","key":"pone.0317740.ref038","first-page":"245","article-title":"A mathematical expression for the human crystalline lens","volume":"29","author":"C-HM Chien","year":"2003","journal-title":"Compr Ther"},{"key":"pone.0317740.ref039","doi-asserted-by":"crossref","first-page":"103600","DOI":"10.1016\/j.jmbbm.2019.103600","article-title":"Biomechanical properties of the lens capsule: A review","volume":"103","author":"KS Avetisov","year":"2020","journal-title":"J Mech Behav Biomed Mater"},{"issue":"6","key":"pone.0317740.ref040","doi-asserted-by":"crossref","first-page":"490","DOI":"10.1016\/j.exer.2011.03.008","article-title":"Primate lens capsule elasticity assessed using Atomic Force Microscopy","volume":"92","author":"NM Ziebarth","year":"2011","journal-title":"Exp Eye Res"},{"issue":"4","key":"pone.0317740.ref041","doi-asserted-by":"crossref","first-page":"999","DOI":"10.1109\/TBME.2019.2927390","article-title":"A Modeling Approach for Investigating Opto-Mechanical Relationships in the Human Eye Lens","volume":"67","author":"K Wang","year":"2020","journal-title":"IEEE Trans Biomed Eng"},{"key":"pone.0317740.ref042","doi-asserted-by":"crossref","first-page":"100902","DOI":"10.1016\/j.preteyeres.2020.100902","article-title":"Zinn\u2019s zonule","volume":"82","author":"S Bassnett","year":"2021","journal-title":"Prog Retin Eye Res"},{"key":"pone.0317740.ref043","first-page":"364","article-title":"The zonular insertion: A scanning electron microscopic study","volume":"16","author":"B Streeten","year":"1977","journal-title":"Invest Ophthalmol Vis Sci"},{"issue":"6","key":"pone.0317740.ref044","doi-asserted-by":"crossref","first-page":"563","DOI":"10.1016\/0014-4835(77)90135-X","article-title":"Three-dimensional architecture of the suspensory apparatus of the lens of the Rhesus monkey","volume":"25","author":"PN Farnsworth","year":"1977","journal-title":"Exp Eye Res"},{"issue":"1","key":"pone.0317740.ref045","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1111\/opo.12257","article-title":"Anteriorly located zonular fibres as a tool for fine regulation in accommodation","volume":"36","author":"CM Fl\u00fcgel-Koch","year":"2016","journal-title":"Ophthalmic Physiol Opt"},{"issue":"2","key":"pone.0317740.ref046","doi-asserted-by":"crossref","first-page":"295","DOI":"10.1016\/S0161-6420(98)93172-4","article-title":"Anterior shift of zonular insertion onto the anterior surface of human crystalline lens with age","volume":"105","author":"I Sakabe","year":"1998","journal-title":"Ophthalmology"},{"issue":"3","key":"pone.0317740.ref047","doi-asserted-by":"crossref","first-page":"e0152293","DOI":"10.1371\/journal.pone.0152293","article-title":"Wavefront derived refraction and full eye biometry in pseudophakic eyes","volume":"11","author":"X Mao","year":"2016","journal-title":"PLoS One"},{"issue":"1","key":"pone.0317740.ref048","first-page":"16","article-title":"Assessment of the ciliary muscle and scleral anterior thickness in high myopia by optical coherence tomography","volume":"99","author":"JI Fern\u00e1ndez-Vigo","year":"2024","journal-title":"Arch Soc Esp Oftalmol (Engl Ed)"},{"issue":"11","key":"pone.0317740.ref049","doi-asserted-by":"crossref","first-page":"1115","DOI":"10.1109\/34.103273","article-title":"Estimation of planar curves, surfaces, and nonplanar space curves defined by implicit equations with applications to edge and range image segmentation","volume":"13","author":"G Taubin","year":"1991","journal-title":"IEEE Trans Pattern Anal Machine Intell"},{"key":"pone.0317740.ref050","unstructured":"Jenkins F, White H. Fundamentals of optics. 1957."},{"key":"pone.0317740.ref051","first-page":"710002","article-title":"Asphere, O asphere, how shall we describe thee?","author":"GW Forbes","year":"2008","journal-title":"SPIE Proceedings"},{"issue":"8","key":"pone.0317740.ref052","doi-asserted-by":"crossref","first-page":"5218","DOI":"10.1364\/OE.15.005218","article-title":"Shape specification for axially symmetric optical surfaces","volume":"15","author":"GW Forbes","year":"2007","journal-title":"Opt Express"},{"issue":"19","key":"pone.0317740.ref053","doi-asserted-by":"crossref","first-page":"19700","DOI":"10.1364\/OE.18.019700","article-title":"Robust, efficient computational methods for axially symmetric optical aspheres","volume":"18","author":"GW Forbes","year":"2010","journal-title":"Opt Express"},{"issue":"13","key":"pone.0317740.ref054","doi-asserted-by":"crossref","first-page":"13851","DOI":"10.1364\/OE.18.013851","article-title":"Robust and fast computation for the polynomials of optics","volume":"18","author":"GW Forbes","year":"2010","journal-title":"Opt Express"},{"key":"pone.0317740.ref055","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1515\/aot-2019-0011","article-title":"Description of aspheric surfaces","volume":"8","author":"R Schuhmann","year":"2019","journal-title":"Adv Opt Techn"},{"issue":"8","key":"pone.0317740.ref056","doi-asserted-by":"crossref","first-page":"1273","DOI":"10.1364\/JOSAA.2.001273","article-title":"Accommodation-dependent model of the human eye with aspherics","volume":"2","author":"R Navarro","year":"1985","journal-title":"J Opt Soc Am A"},{"key":"pone.0317740.ref057","first-page":"115","article-title":"Ophthalmic optics and refraction. vol. v.","volume-title":"System of Ophthalmology","author":"S Duke-Elder","year":"1970"},{"issue":"1","key":"pone.0317740.ref058","doi-asserted-by":"crossref","first-page":"33","DOI":"10.21037\/aes-21-70","article-title":"Changes in crystalline lens parameters during accommodation evaluated using swept source anterior segment optical coherence tomography","volume":"7","author":"L Wang","year":"2022","journal-title":"Ann Eye Sci"},{"issue":"2","key":"pone.0317740.ref059","doi-asserted-by":"crossref","DOI":"10.1007\/s00417-017-3843-2","article-title":"Mechanism of accommodation assessed by change in precisely registered ocular images associated with concurrent change in auto-refraction","volume":"256","author":"A Grzybowski","year":"2018","journal-title":"Graefes Arch Clin Exp Ophthalmol"},{"key":"pone.0317740.ref060","doi-asserted-by":"crossref","first-page":"1625","DOI":"10.2147\/OPTH.S144238","article-title":"Image registration reveals central lens thickness minimally increases during accommodation","volume":"11","author":"RA Schachar","year":"2017","journal-title":"Clin Ophthalmol"},{"issue":"5","key":"pone.0317740.ref061","doi-asserted-by":"crossref","first-page":"1010","DOI":"10.1001\/jama.1912.04270090254042","article-title":"Normal values of the 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optoretinography","volume":"3","author":"R Schachar","year":"2023","journal-title":"Adv Ophthalmol Pract Res"},{"issue":"12","key":"pone.0317740.ref065","doi-asserted-by":"crossref","first-page":"6196","DOI":"10.1364\/BOE.472053","article-title":"Motion-tracking Brillouin microscopy for in-vivo corneal biomechanics mapping","volume":"13","author":"H Zhang","year":"2022","journal-title":"Biomed Opt Express"},{"key":"pone.0317740.ref066","doi-asserted-by":"crossref","first-page":"128","DOI":"10.1016\/j.ajo.2023.03.018","article-title":"Motion-Tracking Brillouin Microscopy Evaluation of Normal, Keratoconic, and Post-Laser Vision Correction Corneas","volume":"254","author":"H Zhang","year":"2023","journal-title":"Am J Ophthalmol"},{"issue":"14","key":"pone.0317740.ref067","doi-asserted-by":"crossref","first-page":"7","DOI":"10.1167\/iovs.61.14.7","article-title":"Age-related changes of the human crystalline lens on high-spatial resolution three-dimensional T1-weighted brain magnetic resonance images in vivo","volume":"61","author":"F Streckenbach","year":"2020","journal-title":"Invest Ophthalmol Vis Sci"},{"key":"pone.0317740.ref068","unstructured":"Schachar RA. The mechanism of accommodation and presbyopia. n.d."},{"issue":"3","key":"pone.0317740.ref069","doi-asserted-by":"crossref","first-page":"39","DOI":"10.1097\/00004397-200604630-00006","article-title":"The mechanism of accommodation and presbyopia","volume":"46","author":"RA Schachar","year":"2006","journal-title":"Int Ophthalmol Clin"},{"issue":"1","key":"pone.0317740.ref070","first-page":"1","article-title":"Uber die Akkommodation des Auges","volume":"1","author":"H Helmholtz","year":"1855","journal-title":"Archiv f\u00fcr Ophthalmologie"},{"issue":"7","key":"pone.0317740.ref071","first-page":"665","article-title":"Hyperopia and loss of accommodation following ciliary muscle disinsertion in the cynomolgus monkey: physiologic and scanning electron microscopic studies","volume":"18","author":"PL Kaufman","year":"1979","journal-title":"Invest Ophthalmol Vis Sci"},{"issue":"9","key":"pone.0317740.ref072","first-page":"1699","article-title":"Central surface curvatures of postmortem- 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accommodation","volume":"4","author":"H Cheng","year":"2004","journal-title":"J Vis"},{"issue":"5","key":"pone.0317740.ref076","doi-asserted-by":"crossref","first-page":"466","DOI":"10.1167\/5.5.7","article-title":"The effect of ocular aberrations on steady-state errors of accommodative response","volume":"5","author":"S Plainis","year":"2005","journal-title":"J Vis"},{"issue":"4","key":"pone.0317740.ref077","doi-asserted-by":"crossref","first-page":"1736","DOI":"10.1167\/iovs.06-0802","article-title":"Accommodation-related changes in monochromatic aberrations of the human eye as a function of age","volume":"49","author":"N L\u00f3pez-Gil","year":"2008","journal-title":"Invest Ophthalmol Vis Sci"},{"issue":"3","key":"pone.0317740.ref078","doi-asserted-by":"crossref","first-page":"313","DOI":"10.1016\/0042-6989(94)00139-D","article-title":"Measurement of monochromatic ocular aberrations of human eyes as a function of accommodation by the Howland aberroscope technique","volume":"35","author":"DA Atchison","year":"1995","journal-title":"Vision Res"},{"issue":"12","key":"pone.0317740.ref079","doi-asserted-by":"crossref","first-page":"12","DOI":"10.1167\/10.13.12","article-title":"The change of spherical aberration during accommodation and its effect on the accommodation response","volume":"10","author":"N L\u00f3pez-Gil","year":"2010","journal-title":"J Vis"},{"key":"pone.0317740.ref080","doi-asserted-by":"crossref","first-page":"1522","DOI":"10.1364\/JOSA.61.001522","article-title":"Theoretical eye model with aspherics","volume":"61","author":"W Lotmar","year":"1971","journal-title":"J Opt Soc Am"},{"issue":"11","key":"pone.0317740.ref081","doi-asserted-by":"crossref","first-page":"1041","DOI":"10.1016\/j.visres.2010.03.012","article-title":"Age-dependent Fourier model of the shape of the isolated ex vivo human crystalline lens","volume":"50","author":"R Urs","year":"2010","journal-title":"Vision 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