feedback theory

 

REFERENCES FEEDBACK THEORY 

[1] The Massachusetts Eye and Ear Infirmary Illustrated Manual of Ophthalmology. Fourth Edition. Kaiser P K, Friedman N J. Elsevier London 2014.

[2] van Alphen GWHM: On emmetropia and ametropia. Ophthalmologica (Suppl) 1961;142:1-92.

[3] Medina A. El Origen de las Ametropías: ¿Qué Es Emetropía? Arch. Soc. Esp. Oftalmol. 1980;40:156-161.

[4] Medina A. A model for emmetropization. The effect of corrective lenses. Acta Ophthalmol (Copenh). 1987, 65(5): 565-571.

[5] Wiesel TN, Raviola E. Myopia and eye enlargement after neonatal lid fusion in monkeys. Nature 1977;266:66-77.

[6] Medina A and Greene PR. Progressive Myopia and Lid Suture Myopia are explained by the Same Feedback Process: a Mathematical Model of Myopia. J Nat Sci. 2015;1(6): e121

[7] Medina A. A model for emmetropization: predicting the progression of ametropia. Ophthalmologica. 1987;194(2-3):133-139.

[8] Medina A. Prevention of myopia by partial correction of hyperopia: a twins study. Int Ophthalmol. 2018;38: 577–583. https://doi.org/10.1007/s10792-017-0493-7

[9] Fariza-Guttman E and Medina A. Ophthalmic lenses induce refractive changes in primates. Invest Ophthalmol Vis Sci. 1991;32 (Suppl):1201.

[10] Schaeffel F, Glasser A, Howland HC. Accommodation, refractive error and eye growth in chickens. Vis Res 1988;28:639–57.

[11] Wallman J, Turkel J, Trachtman J. Extreme myopia produced by modest change in early visual experience. Science 1978;201: 1249-1251.

[11] Troilo D et al. Accommodation and the Visual Regulation of Refractive State in Marmosets. Optom Vis Sci. 2009; 86(1): E31–E39. doi:10.1097/OPX.0b013e318194072e.

[12] Wallman J, Adams J, Trachtman IN. The eyes of young chickens grow towards emmetropia. Invest Ophthalmol Vis Sci. 1981;20:557-61.

[13] Wallman J, Adams J. Developmental aspects of experimental myopia in chicks. Vision Res 1987;27:1139-63.

[14] Schaeffel F and Howland HC. Mathematical model of emmetropization in the chicken. J. Opt. Soc. Am. A5, 1988;2080-2086.

[15] Smith EL, Hung LF. The role of optical defocus in regulating refractive development in infant monkeys. Vis. Res 1999;39:1415–35.

[16] Straub M. Über die Atiologie der Brechungsanomalien des Auges und den Ursprung der Emmetropie. Albrecht von Graefes Archiv für Ophthalmologie. 1909;70(1), 130-199.

[17] Zeeman WPC. Linsenmessungen und Emmetropisation. Graefes Arch. klin. exp. Ophthal. 1911;78: 93-128 ()

[18] Wibaut F. Uber die Emmetropisation und den Ursprung der spharischen Refraktionsanomalien. Graefes Arch. klin. exp. Ophthal. 1925;116: 596-612.

[19] Steiger A. Die Entstehung der spharischen Refraktionen des menschlichen Auges. Karger: Berlin, 1913.

[20] Brown NA Koretz JF & Bron AJ. The development and maintenance of emmetropia. Eye, 1999;13:83-92.

[21] Troilo D. Neonatal Eye Growth And Emmetropisation a Literature Review. Eye. 1992;6:154-160.

[22] Sorsby A, Sheridan M, Leary GA, Benjamin B. Vision, visual acuity, and ocular refraction of young men: Findings in a sample of 1,033 subjects. Br Med J. 1960; 7;1(5183):1394-1398.

[23] Gwiazda J, Thorn F, Bauer J, Held R. Emmetropization and the progression of manifest refraction in children followed from infancy to puberty. Clin Vision Sci. 1993;8:337-34.

[24] Ehrlich DL, Braddick OJ, Atkinson J, Anker S, Weeks F, Hartley T et al. Infant emmetropization: longitudinal changes in refraction components from nine to twenty months of age. Optom Vis Sci. 1997;74:822-43.

[25] Slataper FJ. Age norms of refraction and vision. Arch Ophthalmol. 1950;43:466-81.

[26] Kempf GA, Collins SD, Jarman E1. Refractive errors in the eyes of children as determined by retinoscopic examination with a cycloplegic. Public health bulletin no. 192. Washington, DC: Government Printing Office, 1928.

[27] Flitcroft DI. Emmetropisation and the aetiology of refractive errors. Eye. 2014;28,169–179.

[28] Hofstetter HW. Emmetropization–biological process or mathematical artifact? Am J Optom Arch Am Acad Optom 1969;46:447–450

[29] Applied optics and optical design, Part 1 p 71 Alexander Eugen Conrady. Dover Publications, 1957 New York.

[30] Medina A and Fariza E. Emmetropization as a first-order feedback system. Vision Res. 1993;33(1);21-26.

[31] French AN. Comparison of Refraction and Ocular Biometry in European Caucasian Children Living in Northern Ireland and Sydney, Australia. Invest Ophthalmol Vis Sci.2012;53:4021–403

[32] Yang M al. A pilot study to determine the prevalence of myopia, proportion of uncorrected myopia and pertinent environmental factors among children in a suburban region in Canada. Eye 2018;32:1042–1047. doi.org/10.1038/s41433-018-0015-5

[33] Medina A. The progression of corrected myopia. Graefes Arch Clin Exp Ophthalmol. 2015;253(8);1273-1277.

[34] Fernández-Montero A et al. The impact of computer use in myopia progression: A cohort study in Spain. Preventive Medicine. 2015;71 67–71.

[35] Oakley KH, Young FA. Bifocal control of myopia. Am J Optom Physiol Opt. 1975;52:758–764.

[36] Gwiazda JE, Hyman L, Norton TT et al. Accommodation and related risk factors associated with myopia progression and their interaction with treatment in COMET children. Invest Ophthalmol Vis Sci. 2004;45:2143–51.

[37] Cheng D, Woo GC, Drobe B, Schmid KL. Effect of bifocal and prismatic bifocal spectacles on myopia progression in children: three-year results of a randomized clinical trial. JAMA Ophthalmol. 2014;132(3):258–264. doi:10.1001/jamaophthalmol.2013.7623

[38] Aller TA, Liu M, and Wildsoet CF. Myopia Control with Bifocal Contact Lenses: A Randomized Clinical Trial. Optom Vis Sci. 2016;93(4):344-52.

[39] Adler D, Millodot M. The possible effect of undercorrection on myopic progression in children. Clin Exp Optom. 2006;89:315–321.

[40] Vasudevan B, Esposito C, Peterson C, Coronado C, Ciuffreda KJ. Under-correction of human myopia - Is it myopigenic?: A retrospective analysis of clinical refraction data. J Optom. 2014;7:147– 152. doi:10.1016/j.optom.2013.12.007.

[41] Li SY, Li SM, Zhou YH, Liu LR, Li H, Kang MT, Zhan SY, Wang N, Millodot M. Effect of undercorrection on myopia progression in 12-year-old children. Graefes Arch Clin Exp Ophthalmol. 2015;253(8):1363-8. doi: 10.1007/s00417-015-3053-8.

[42] Medina A. Detecting the effect of under-correcting myopia. Graefes Arch Clin Exp Ophthalmol. 2016;254:409–410 doi: 10.1007/s00417-015-3111-2.

[43] Chung K, Mohidin N, O'Leary, DJ. Undercorrection of myopia enhances rather than inhibits myopia progression. Vision Research. 2002;42. 2555-9. doi: 10.1016/S0042-6989(02)00258-4.

[44] Sun YY et al. Effect of uncorrection versus full correction on myopia progression in 12-year-old children. Graefe's Archive for Clinical and Experimental Ophthalmology. 2017, 255(1):189. doi: 10.1007/s00417-016-3529-1.

[45] Phillips J. Monovision slows juvenile myopia progression unilaterally. Br J Ophthalmol 2005;89:1196–1200. doi:10.1136/bjo.2004064212

[46] Greene PR, Brown OS, Medina AP, and Graupner HB. Emmetropia Approach Dynamics with Diurnal Dual-Phase Cycling. Vision Research. 1996;36(15):2249-2251.

[47] Ong E, Grice K, Held R, Thorn F, Gwiazda J. Effects of spectacle intervention on the progression of myopia in children. Optom Vis Sci 1999;76:363–369.

[48] Yang HK, Choi JY, Kim DH, Hwang JM. Changes in Refractive Errors Related to Spectacle Correction of Hyperopia. PLoS ONE 2014;9(11): e110663. doi:10.1371/journal.pone.0110663

[49] Ingram RM, Gill L, Lambert TW. Effect of spectacles on changes of spherical hypermetropia in infants who did, and did not, have strabismus. Br J Ophthalmol. 2000;84:324–326.

[50] GossDA. Linearity of refractive change in childhood myopia progression. Am J Optom Physiol Opt. 1987;64:775–780.

[51] Mutti DO, et al. Refractive Error, Axial Length, and Relative Peripheral Refractive Error before and after the Onset of Myopia. Invest. Ophthalmol. Vis. Sci. 2007;48(6):2510-2519. doi: 10.1167/iovs.06-0562

[52] Greene PR and Medina A. Juvenile Myopia. Predicting the Progression Rate. M J Opht. 2017;2(1):012.

[53] Chua SY, Sabanayagam C, Cheung YB, Chia A et al. Age of onset of myopia predicts risk of high myopia in later childhood in myopic Singapore children. Ophthalmic Physiol Opt. 2016;36(4): 388-394.

[54] Sawada A, Tomidokoro A, Araie M, Iwase A, Yamamoto T. Tajimi Study Group. Refractive errors in an elderly Japanese population: the Tajimi study. Ophthalmology. 2008;115:363–370.

[55] Mark HH. Emmetropisation: physical aspects of a statistical phenomenon. Ann OphthalmoI. 1972;4:39-401.

[56] Morgan IG, Ashby RS, Nickla, DL and Guggenheim JA. Form deprivation and lens-induced myopia: are they different? Ophthalmic & Physiological Optics. 2013;33(3):355–361. doi.org/10.1111/opo.12059

[57] Jones-Jordan LA et al. for the CLEERE Study Group. Time Outdoors, Visual Activity, and Myopia Progression in Juvenile-Onset Myopes. Invest Ophthalmol Vis Sci.2012;53:7169-7175. doi:10.1167/iovs.11-8336

[58] Jones LA, Sinnott LT, Mutti DO. Parental history of myopia, sports and outdoor activities, and future myopia. Invest Ophthalmol Vis Sci. 2007;48:3524–3532.

[59] Guggenheim JA, Northstone K, McMahon G. Time outdoors and physical activity as predictors of incident myopia in childhood: a prospective cohort study. Invest Ophthalmol Vis Sci. 2012;53:2856–2865.

[60] Deng L, Gwiazda J, Thorn F. Children's refractions and visual activities in the school year and summer. Optom Vis Sci. 2010;87:406–413.

[61] Dirani M, Tong L, Gazzard G. Outdoor activity and myopia in Singapore teenage children. Br J Ophthalmol. 2009;93:997–1000.

[62] Ip JM, Saw SM, Rose KA. Role of near work in myopia: findings in a sample of Australian school children. Invest Ophthalmol Vis Sci. 2008;49:2903–2910.

[63] Mutti DO, Mitchell GL, Moeschberger ML. Parental myopia, near work, school achievement, and children's refractive error. Invest Ophthalmol Vis Sci. 2002;43:3633–3640.

[64] Rose KAm, Morgan IG, Smith W. Myopia, lifestyle, and schooling in students of Chinese ethnicity in Singapore and Sydney. Arch Ophthalmol. 2008;126:527–530.

[65] Lu B, Congdon N, Liu X. Associations between near work, outdoor activity, and myopia among adolescent students in rural China: the Xichang Pediatric Refractive Error Study report no. 2. Arch Ophthalmol. 2009;127:769–775.

[66] Huang  H-M, Chang  DS-T, Wu  P-C.  The association between near work activities and myopia in children—a systematic review and meta-analysis.  PLoS One. 2015;10(10):e0140419. doi:10.1371/journal.pone.0140419

[67] Kim DY et al. Effects of Variation of Illumination on Visual Function Factors. J Korean Ophthalmic Opt Soc. 2015;20(2):195-200.

[68] Manjunath V, Enyedi L. Pediatric Myopic Progression Treatments: Science, Sham, and Promise. Curr Ophthalmol Rep. 2014;2:150–157. doi 10.1007/s40135-014-0054-4.

[69] Shih YF et al. Effects of different concentrations of atropine on controlling myopia in myopic children. J Ocul Pharmacol Ther. 1999;15(1):85–90.

[70] Yen MY et al. Comparison of the effect of atropine and cyclopentolate on myopia. Ann Ophthalmol. 1989;21(5):180–187.

[71] Shih YF et al. An intervention trial on efficacy of atropine and multi-focal glasses in controlling myopic progression. Acta Ophthalmol Scand. 2001;79(3):233–6.

[72] McBrien NA, Moghaddam HO, Reeder AP. Atropine reduces experimental myopia and eye enlargement via a nonaccommodative mechanism. Invest Ophthalmol Vis Sci. 1993;34(1):205–15.

[73] McBrien NA et al. The M4 muscarinic antagonist MT-3 inhibits myopia in chick: evidence for site of action. Ophthalmic Physiol Opt. 2011;31(5):529–39.

[74] Chua WH et al. Atropine for the treatment of childhood myopia. Ophthalmology. 2006;113(12):2285–91.

[75] Luu CD et al. Multifocal electroretinogram in children on atropine treatment for myopia. Br J Ophthalmol. 2005;89(2):151–3.

[76] Song YY et al. Atropine in ameliorating the progression of myopia in children with mild to moderate myopia: a meta-analysis of controlled clinical trials. J Ocul Pharmacol Ther. 2011;27(4):361–8.

[77] Chia A et al. Atropine for the treatment of childhood myopia: safety and efficacy of 0.5 %, 0.1 %, and 0.01 % doses (atropine for the treatment of myopia 2). Ophthalmology. 2012;119(2):347–54.

[78] Chia A, et al. Atropine for the treatment of childhood myopia: changes after stopping atropine 0.01 %, 0.1 % and 0.5 %. Am J Ophthalmol. 2014;157(2):451–7.

[79] Huang J et al. Efficacy comparison of 16 interventions for myopia control in children: a network meta-analysis. Ophthalmology. 2016;123(4):697-708.

[80] Su J, Liu Y, Healy KE and Wildsoet CF. Effect of in vivo Atropine Delivery at Posterior Sclera Using Biomimetic Extracellular Matrix for Myopia Control. Invest Ophthalmol Vis Sci. 2009;50(13):1619.

[81] Holden, BA et al. Global Prevalence of Myopia and High Myopia and Temporal Trends from 2000 through 2050. Ophthalmology. 2016;123(5):1036–1042. doi: 10.1016/j.ophtha.2016.01.006

[82] Mountjoy E et al. Education and myopia: assessing the direction of causality by mendelian randomisation BMJ. 2018;361:k2022.

[83] Morgan IG, French AN, Rose KA. Intense schooling linked to myopia. BMJ. 2018;361:k2248.

[84] Brown O, Berger R. A Nearsightedness Computer. Proceedings of the 7th New England Bioengineering Conference. 1979; 343-346.

[85] Nebbioso M, Plateroti AM, Pucci B, Pescosolido N. Role of the dopaminergic system in the development of myopia in children and adolescents. J Child Neurol. 2014; 29: 1739–46.

[86] Saw SM et al. Near-work activity, night-lights, and myopia in the Singapore-China study. Archives of Ophthalmology. 2002; 120, no. 5, pp. 620–627.

[87] Woodman E.C, Read SA, Collins MJ et al. Axial elongation following prolonged near work in myopes and emmetropes. British Journal of Ophthalmology. 2011; 95, no. 5, pp. 652–656.

[88] Von Graefe A . Mittheilungen von Krankheitsfällen und Notizen vermischten Inhalts. Reports on cases of illness and notes with mixed content. Arch f Ophthalmologie. 1854;1:283–465.

[89] Smith 3rd EL et al. Protective effects of high ambient lighting on the development of form deprivation myopia in rhesus monkeys. Investigative Ophthalmology & Visual Science. 2012;53, no. 1, pp. 421–428.

[90] You X et al. Near Work Related Behaviors Associated with Myopic Shifts among Primary School Students in the Jiading District of Shanghai: A School-Based One-Year Cohort Study. PLoS One. 2016;11, no. 5, article e0154671.

[91] Saw SM et al., Nearwork in early onset myopia, Investigative Ophthalmology & Visual Science. 2002;43, no. 2, pp. 332–339.

[92] Mirshahi A, Ponto KA, Hoehn R et al., Myopia and level of education: results from the Gutenberg Health Study, Ophthalmology. 2014; 121, no. 10, pp. 2047–2052.

[93] Li S M., Li S.Y., Kang M T. et al. Near work related parameters and myopia in Chinese children: the Anyang Childhood Eye Study. PLoS One. 2015; 10, no. 8, article e0134514.

[94] Sun JT et al. Prevalence and Related Factors for Myopia in School-Aged Children in Qingdao. Journal of Ophthalmology 2018(1):1-6. DOI: 10.1155/2018/9781987

[95] M. Feldkaemper and F. Schaeffel. An updated view on the role of dopamine in myopia, Experimental Eye Research. 2016; 114, pp. 106–119.

[96] Li S. M., H. Li, S. Y. Li et al. Time outdoors and myopia progression over 2 years in Chinese children: the Anyang Childhood Eye Study, Investigative Ophthalmology & Visual Science. 2015; 56, no. 8, pp. 4734–4740.

[97] Sherwin JC, et al. The association between time spent outdoors and myopia in children and adolescents: a systematic review and meta-analysis, Ophthalmology. 2012;119, no. 10, pp. 2141–2151.

[98] Flitcroft, DI. 1998, A model of the contribution of oculomotor and optical factors to emmetropization and myopia, Vis. Res., 38: 2869-2879.

[99] Hung GK and Ciuffreda KJ. Model of refractive error development, Cur. Eye. Res. 1999;19: 41-52.

[100] Wick B. On the etiology of refractive error - Parts I-III, J. Optom. Vis. Devel. 2000;31: 5- 21, 48-63, 93-99.

[101] Polling JR et al. Effectiveness study of atropine for progressive myopia in Europeans, Eye. 2016;30, 998–1004.

[102] Chia A Lu QS Tan D. Five-Year Clinical Trial on Atropine for the Treatment of Myopia 2 Myopia Control with Atropine 0.01% Eyedrops, Ophthalmology. 2016;123(2):391-9. doi: 10.1016/j.ophtha.2015.07.004

[103] Gyulli K et al. Prevalence and associated factors of myopia in Russia. The Ufa Eye and Medical Study, Investigative Ophthalmology & Visual Science. 2017;58, 2373.

[104] Proskurina OP et al, The Prevalence of Myopia in Schoolchildren in Some Regions of Russia, Ophthalmology in Russia;15(3):348–353. doi.org/10.18008/1816-5095-2018-3-348-353

[105] Matsumura H Hirai H. Prevalence of myopia and refractive changes in students from 3 to 17 years of age. Survey of ophthalmology. 1999;44 Suppl 1:S109-15.

[106] Greene R et al. Time Course of Nearwork Myopia. 2019; EC Ophthalmology 10.4.

[107] Ashby R, Ohlendorf A, and Schaeffel F. The Effect of Ambient Illuminance on the Development of Deprivation Myopia in Chicks. Invest Ophthalmol Vis Sci. 2009; 50:5348-5354. doi:10.1167/iovs.09-3419

[108] Smith EL III, MagJire GW, Watson JT: Axial lengths and refractive errors in kittens reared with an optically induced anisometropia. Invest Ophthalmol Vis Sci 1980; 19:1250-1255.

[109] Young FA, Leary GA, Baldwin GR et al. The transmission of refractive errors within Eskimo families. Am J Optom Physiol Optics. 1969;46:676–685.

[110] Rosenfield, M. (1998) Accommodation and myopia Rosenfield, M Gilmartin, B eds. Myopia and Nearwork ,91-116 Butterworth Heinemann London.

Fig. 1 Emmetropization feedback process as published in 1980 [3], translated by Otis Brown, who at about the same time proposed a similar feedback system for myopia [84] where the input was average accommodation.

Fig. 2 Feedback Theory evolved in the eighties and nineties to a mathematical definition, or transfer function F(s) = 1/(ks+1). Myopia is the result of interference with emmetropization feedback. The transfer function allows the prediction of the degree of myopia in diopters in many situations. The Theory’s prediction that lenses would alter the refraction of the eye and cause myopia in particular was tested and confirmed by many experiments with animals over two decades. Confirmation with humans followed. All predictions in this paper used this transfer function.

Fig. 3 Frequency distribution showing myopic refractive errors (negative values in x axes) becoming more frequent with age. The values in x axes are vertically aligned for easy comparison. Continuous trace is the corresponding Gaussian distribution.

Fig. 4 Negative lenses, like these carrots in front of a donkey, open the feedback loop and keep myopia advancing.

Fig. 5 Refractive error (right eye spherical equivalent SE, symbols) of 13 patients right after correction of their myopia versus age and linear fit (solid lines). The myopia depression is the straight downward myopia progression that starts when myopia is first corrected. Drawn from author’s data.

Fig. 6 Evidence that negative lenses are the cause of myopia; the fall into the myopia depression. The refractions of 605 children who became myopic fitted with straight thick lines before (years 1 to 4) and after correction (years 5 to 11). Notice the abrupt change in the rate of myopia progression. The slope of the line triples from -0.18D/y to -0.54D/y after they are corrected. Their 374 fellow emmetropes (circles), subjected to the same environmental conditions maintained their refractive change indicating that corrective lenses instead of other environmental factors are the cause of myopia. If the children had not been corrected Feedback Theory can calculate that their myopia would have stabilized at an estimated average of -1.12D (broken trace). Retraced from data in [30] and [51].

Fig. 7 Actual refractive development R(t) of a child’s eye whose hyperopia was corrected by 50% from age 7 to 17 (diamonds, SE) and prediction of Feedback Theory if such correction were maintained indefinitely (continuous trace). Notice the expected negative refractive change after correction was discontinued deviating towards myopia from corrected prediction. Drawn from author’s data.

Fig. 8 Flat prediction of Feedback Theory if the child’s hyperopia had been fully corrected.

Fig. 9 Prediction if alternative treatment had been followed: the child’s hyperopia had not been corrected, he had an increased near work demand of 1 D and his myopia had been fully corrected every time it increased by 0.25 D.

Fig. 10 The Theory was put to the test to prevent myopia in a 11 year trial that culminated in 2018. These two boys in green gowns were at risk of developing myopia, but are free of myopia and glasses at graduation (upper photo) after 10 years of preventive positive lens wear (lower photos). Just as Feedback Theory predicted. See [8] and Figs. 7 to 9 for details of the trial.

Fig. 11 A candid photo faithfully illustrates Feedback Theory explanation of myopia, its progression (1), its cause (2-5), and its prevention  with positive  lenses (6-7) respectively.