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Mathematical modeling of fluid movement inside the eyeball during intravitreal injection

https://doi.org/10.21516/2072-0076-2022-15-2-37-41

Abstract

   Intravitreal injections show an avalanche-like growth the world over.

   Purposes: 1) create a mathematical model of the eyeball and fluid movement inside the eye, assuming the simplified structure of the vitreous body (without tanks); 2) estimate the time span when the drug substance remains in the cavity of the vitreous body until it is completely washed out, depending on the injection site; 3) observe and evaluate the path of drug movement in the vitreous body cavity; 4) evaluate the variation of time when the drug is located in the vitreous body cavity, depending on the presence or absence of complete detachment of the vitreous body.

   Results. If the drug is injected closer to the center of the eyeball, the time when it is located in the vitreous is increased as compared to parietal injection. With full vitreous body detachment, the location time of the drug increases as compared to its normal location, which favorably affects the prolongation of the therapeutic effect.

   Conclusion. As this is a pilot study, many parameters are approximate, so the results obtained cannot be mechanically extrapolated to the live human eye subjected to intravitreal injections, due to the complexity of the processes occurring in eyeball.

About the Authors

D. V. Lipatov
National Endocrinology Research center
Russian Federation

Dmitry V. Lipatov, Dr. of Med. Sci., professor, head of the department

department of diabetic retinopathy and ophthalmic surgery

117036

11, Dmitry Ulyanov St.

Moscow



S. A. Skladchikov
Lomonosov Moscow State University
Russian Federation

Sergey A. Skladchikov, Cand. of Phys.-Math. Sci., research associate

chair of computational mathematics and cybernetics

119991

1, Bldg. 52, Leninskie Gory, GSP-1

Moscow



N. P. Savenkova
Lomonosov Moscow State University
Russian Federation

Nadezhda P. Savenkova, Dr. of Phys.-Math. Sci., principal researcher

faculty of computational mathematics and cybernetics

119991

1, Bldg. 52, Leninskie Gory, GSP-1

Moscow



V. V. Novoderezkin
City clinical hospital No.15
Russian Federation

Vladimir V. Novoderezkin, Cand. of Med. Sci., ophthalmologist

111539

23, Veshnyakovskaya St.

Moscow



Ph. I. Vysikailo
Moscow Regional State University
Russian Federation

Philip I. Vysikailo, Dr. of Phys.-Math. Sci., professor

chair of theoretical physics

141014

24, Vera Voloshina St.

Moscow region

Mytishchi



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Review

For citations:


Lipatov D.V., Skladchikov S.A., Savenkova N.P., Novoderezkin V.V., Vysikailo P.I. Mathematical modeling of fluid movement inside the eyeball during intravitreal injection. Russian Ophthalmological Journal. 2022;15(2):37-41. (In Russ.) https://doi.org/10.21516/2072-0076-2022-15-2-37-41

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ISSN 2072-0076 (Print)
ISSN 2587-5760 (Online)