![Simulation results for treatment of an in vivo human eye, using multiple modes of administration. Panels show VEGF (V) concentrations ( left column ) and ranibizumab (R) concentrations ( right column ) in the tear film (Tear), aqueous (Aq), and vitreous (Vit), as appropriate (insets show results over the full range of concentrations [ top right ], or with a logarithmic scale on the ordinate [ top left and bottom row ]). Horizontal blue lines in the left column show untreated VEGF levels in the aqueous ( dotted ) and vitreous ( dash-dot ). Top row (topical drops and intravitreal injections): a single drop is applied at the start of hours 1 to 16 every day for the first 16 weeks, while injections are administered at the start of weeks 1, 5, 9, and 13; simulation runs to 20 weeks, the final 4 untreated. Bottom row (drug-eluting contact lens and intravitreal injections): a series of four lenses are worn for 27 days at a time, starting on day 2, with a 1-day break between lenses, while injections are administered at the start of weeks 1, 5, 9, and 13 (on the days without contact lenses); simulation runs to 20 weeks, the final 4 untreated. Both drops and drug-eluting lenses suppress aqueous and vitreal VEGF levels between injections, preventing them from returning to untreated levels as in <xref ref-type=](https://pub-med-central-images-cdn.bioz.com/pub_med_central_ids_ending_with_2946/pmc12372946/pmc12372946__iovs-66-11-45-f006.jpg)
Figure 5 ( bottom row ).
Equations 2 – were solved using the default human parameters in
Table 3 . " width="100%" height="100%">
Journal: Investigative Ophthalmology & Visual Science
Article Title: Mathematical Models of Topically and Intravitreally Applied Ranibizumab
doi: 10.1167/iovs.66.11.45
Figure Lengend Snippet: Simulation results for treatment of an in vivo human eye, using multiple modes of administration. Panels show VEGF (V) concentrations ( left column ) and ranibizumab (R) concentrations ( right column ) in the tear film (Tear), aqueous (Aq), and vitreous (Vit), as appropriate (insets show results over the full range of concentrations [ top right ], or with a logarithmic scale on the ordinate [ top left and bottom row ]). Horizontal blue lines in the left column show untreated VEGF levels in the aqueous ( dotted ) and vitreous ( dash-dot ). Top row (topical drops and intravitreal injections): a single drop is applied at the start of hours 1 to 16 every day for the first 16 weeks, while injections are administered at the start of weeks 1, 5, 9, and 13; simulation runs to 20 weeks, the final 4 untreated. Bottom row (drug-eluting contact lens and intravitreal injections): a series of four lenses are worn for 27 days at a time, starting on day 2, with a 1-day break between lenses, while injections are administered at the start of weeks 1, 5, 9, and 13 (on the days without contact lenses); simulation runs to 20 weeks, the final 4 untreated. Both drops and drug-eluting lenses suppress aqueous and vitreal VEGF levels between injections, preventing them from returning to untreated levels as in Figure 5 ( bottom row ). Equations 2 – were solved using the default human parameters in Table 3 .
Article Snippet: A total of 1 mg of humanized anti-VEGF monoclonal antibody fragments (ranibizumab) was purchased already constituted in PBS from MedChem Express (CAT: HY-P9951A-1mg; Princeton, NJ, USA) and stored at −80°C.
Techniques: In Vivo

Fig. 5 ). Top row : horizontal green dash-dot lines show the untreated vitreal VEGF level. First column (topical drops only): the number of drops per day, n drop , is varied across all integer values between 1 and 16 inclusive, where the first drop of each day is administered at 0 h, with subsequent drops being administered in time increments of 16/ n drop h. Simulated for t ∈ [0, 12] weeks, with plotted values calculated over model outputs from the interval t ∈ [9, 12] weeks. Second column (drug-eluting contact lenses only): lenses are worn for n day days at a time, starting on day 1, with a 1-day break between lenses, where n day is varied across all integer values between 1 and 30 inclusive. Simulated for t ∈ [0, 124] days (enough for four full treatment cycles of 31 days: 30 days on and 1 day off), with plotted values calculated over the final treatment cycle (of n day days on and 1 day off). Third column (intravitreal injections only): the time between injections is varied across all integer values between 1 and 8 weeks inclusive, with the first injection being administered at the start of week 1. Fourth column (topical drops and intravitreal injections): injections are administered as in the third column, with the addition of four topical drops per day (the realistic maximum frequency ) at 4, 8, 12, and 16 h. Fifth column (drug-eluting contact lenses and intravitreal injections): injections are administered as in the third column, with the addition of drug-eluting contact lenses worn for 6 days a week (the longest duration that can be used across all interinjection intervals while allowing for a 1-day break between lenses) between days 2 and 7 of each week. Third to fifth columns : simulated for t ∈ [0, 32] weeks (enough for four full treatment cycles lasting the maximum interval of 8 weeks), with plotted values calculated over model outputs from the final treatment cycle (with duration equal to the time between injections). Increasing drop or injection frequency, or increasing the time interval for which drug-eluting contact lenses are worn, increases the maximum, mean, and minimum vitreal total ranibizumab concentrations and decreases the maximum, mean, and minimum vitreal VEGF concentrations. Combining injections with drops or contact lenses visibly reduces the maximum and mean vitreal VEGF concentrations compared to injections alone, while the effect on the minimum vitreal VEGF concentration and the maximum, mean, and minimum vitreal total ranibizumab concentrations is more subtle.
Equations 2 – were solved using the default human parameters in
Table 3 . " width="100%" height="100%">
Journal: Investigative Ophthalmology & Visual Science
Article Title: Mathematical Models of Topically and Intravitreally Applied Ranibizumab
doi: 10.1167/iovs.66.11.45
Figure Lengend Snippet: Effect of dosing regimen on vitreal VEGF and ranibizumab levels. Panels show variation in the maximum/mean/minimum vitreal VEGF concentration, v Vit ( top row ), and maximum/mean/minimum total ranibizumab concentration, r Tot, Vit = r Vit + u Vit + 2 w Vit ( bottom row ), in response to variation in dosing frequency or duration ( first–third columns : circles show the corresponding values for the dosing regimens plotted in Fig. 5 ). Top row : horizontal green dash-dot lines show the untreated vitreal VEGF level. First column (topical drops only): the number of drops per day, n drop , is varied across all integer values between 1 and 16 inclusive, where the first drop of each day is administered at 0 h, with subsequent drops being administered in time increments of 16/ n drop h. Simulated for t ∈ [0, 12] weeks, with plotted values calculated over model outputs from the interval t ∈ [9, 12] weeks. Second column (drug-eluting contact lenses only): lenses are worn for n day days at a time, starting on day 1, with a 1-day break between lenses, where n day is varied across all integer values between 1 and 30 inclusive. Simulated for t ∈ [0, 124] days (enough for four full treatment cycles of 31 days: 30 days on and 1 day off), with plotted values calculated over the final treatment cycle (of n day days on and 1 day off). Third column (intravitreal injections only): the time between injections is varied across all integer values between 1 and 8 weeks inclusive, with the first injection being administered at the start of week 1. Fourth column (topical drops and intravitreal injections): injections are administered as in the third column, with the addition of four topical drops per day (the realistic maximum frequency ) at 4, 8, 12, and 16 h. Fifth column (drug-eluting contact lenses and intravitreal injections): injections are administered as in the third column, with the addition of drug-eluting contact lenses worn for 6 days a week (the longest duration that can be used across all interinjection intervals while allowing for a 1-day break between lenses) between days 2 and 7 of each week. Third to fifth columns : simulated for t ∈ [0, 32] weeks (enough for four full treatment cycles lasting the maximum interval of 8 weeks), with plotted values calculated over model outputs from the final treatment cycle (with duration equal to the time between injections). Increasing drop or injection frequency, or increasing the time interval for which drug-eluting contact lenses are worn, increases the maximum, mean, and minimum vitreal total ranibizumab concentrations and decreases the maximum, mean, and minimum vitreal VEGF concentrations. Combining injections with drops or contact lenses visibly reduces the maximum and mean vitreal VEGF concentrations compared to injections alone, while the effect on the minimum vitreal VEGF concentration and the maximum, mean, and minimum vitreal total ranibizumab concentrations is more subtle. Equations 2 – were solved using the default human parameters in Table 3 .
Article Snippet: A total of 1 mg of humanized anti-VEGF monoclonal antibody fragments (ranibizumab) was purchased already constituted in PBS from MedChem Express (CAT: HY-P9951A-1mg; Princeton, NJ, USA) and stored at −80°C.
Techniques: Concentration Assay, Injection

Equations 2 – were solved for t ∈ [0, 12] weeks. Top row : topical drops, applied on the hour, every hour. Middle row : drug-eluting contact lens, worn continuously. Bottom row : intravitreal injections, administered at the start of weeks 1, 5, and 9. Parameters were varied individually, across 101 values uniformly distributed over the ranges given in
Table 4 , with the remaining parameters being held at their default values given in
Table 4 . For each parameter set, the maximum/mean/minimum vitreal values of V and R Tot were calculated over model outputs from the interval t ∈ [9, 12] weeks (see
Supplementary Figs. S2 – ). Each sensitivity factor was then calculated as the maximum value obtained by the maximum/mean/minimum value of V or R Tot over the 101 values across which the parameter was varied, divided by the corresponding minimum value over that range. The dashed red horizontal line demarcates the sensitivity threshold (=1.5), above which sensitivity is considered significant. The model demonstrates sensitivity to the following parameters—drops: ( V Tear Norm , A Aq - Vit , k + , δ Aq , r , δ Vit , v , δ Vit , r , ϕ Vit , v , ψ Tear , ψ Aq ) ; contact lens: ( A Tear-Aq , k + , δ Aq, r , δ Vit, v , δ Vit, r , ϕ Vit, v , ψ Aq ), injections: ( V Vit , A Aq-Vit , k + , δ Aq, r , δ Vit, v , δ Vit, r , δ Vit, u , β Aq-Vit, r , ϕ Vit, v , ψ Aq ). " width="100%" height="100%">
Journal: Investigative Ophthalmology & Visual Science
Article Title: Mathematical Models of Topically and Intravitreally Applied Ranibizumab
doi: 10.1167/iovs.66.11.45
Figure Lengend Snippet: Local sensitivity analysis. Panels show sensitivity of the maximum/mean/minimum vitreal VEGF (V) concentration ( left column ) and total vitreal ranibizumab (R Tot = R + VR + 2RVR) concentration ( right column ) to variation in model parameters over biologically realistic ranges (insets show full range of sensitivity values). Equations 2 – were solved for t ∈ [0, 12] weeks. Top row : topical drops, applied on the hour, every hour. Middle row : drug-eluting contact lens, worn continuously. Bottom row : intravitreal injections, administered at the start of weeks 1, 5, and 9. Parameters were varied individually, across 101 values uniformly distributed over the ranges given in Table 4 , with the remaining parameters being held at their default values given in Table 4 . For each parameter set, the maximum/mean/minimum vitreal values of V and R Tot were calculated over model outputs from the interval t ∈ [9, 12] weeks (see Supplementary Figs. S2 – ). Each sensitivity factor was then calculated as the maximum value obtained by the maximum/mean/minimum value of V or R Tot over the 101 values across which the parameter was varied, divided by the corresponding minimum value over that range. The dashed red horizontal line demarcates the sensitivity threshold (=1.5), above which sensitivity is considered significant. The model demonstrates sensitivity to the following parameters—drops: ( V Tear Norm , A Aq - Vit , k + , δ Aq , r , δ Vit , v , δ Vit , r , ϕ Vit , v , ψ Tear , ψ Aq ) ; contact lens: ( A Tear-Aq , k + , δ Aq, r , δ Vit, v , δ Vit, r , ϕ Vit, v , ψ Aq ), injections: ( V Vit , A Aq-Vit , k + , δ Aq, r , δ Vit, v , δ Vit, r , δ Vit, u , β Aq-Vit, r , ϕ Vit, v , ψ Aq ).
Article Snippet: A total of 1 mg of humanized anti-VEGF monoclonal antibody fragments (ranibizumab) was purchased already constituted in PBS from MedChem Express (CAT: HY-P9951A-1mg; Princeton, NJ, USA) and stored at −80°C.
Techniques: Concentration Assay
Journal: Frontiers in Immunology
Article Title: Dysregulated hyaluronan metabolism drives inflammation and angiogenesis in proliferative diabetic retinopathy
doi: 10.3389/fimmu.2026.1724199
Figure Lengend Snippet: Expression levels of hyaluronidase (Hyal)-1 (A) , CD44 (B) and receptor for hyaluronan-mediated motility (RHAMM) (C) in the retinal lysates of non-diabetic control rats (C) (n=12) and diabetic rats (D) (n=12) were determined by Western blot analysis. After determination of the intensity of the protein bands, intensities were adjusted to those of β-actin in the samples. Oxidative stress was monitored with the use of 2’,7’-Dichlorofluorescein (DCF) fluorescence intensity analysis (D) . Results are expressed as mean ± standard deviation. Ultra-Low molecular weight hyaluronan (ULMW-HA) induces breakdown of blood-retinal barrier (E) . ULMW-HA was injected intravitreally at the dose of 50 ng in 5 µL in one eye and the same volume of phosphate-buffered saline (PBS) was injected in the contralateral eye of normal rats. The BRB was quantified with the fluorescein isothiocyanate-conjugated dextran technique. Results are expressed as mean ± standard deviation of 12 rats. *p < 0.05 compared to the values obtained from PBS-injected eyes. (independent t-test). Western blot analysis of retinas demonstrated that intravitreal injection of ULMW-HA induced significant upregulation of the expression of phospho-NF-κB (F) , phospho-ERK1/2 (G) , vascular endothelial growth factor (VEGF) (H) , intercellular adhesion molecule-1 (ICAM-1) (I) , vascular cell adhesion molecule-1 (VCAM-1) (J) and high-mobility group box-1 (HMGB1) (K) . Results are expressed as mean ± standard deviation or standard error of mean of 8–10 rats in each group (*p < 0.05; independent t-test).
Article Snippet: To determine the presence of Hyal-1, Hyal-2, HAS2, CD44, syndecan-1, heparan sulphate and RHAMM in the vitreous samples, equal volumes (10 μL) of vitreous samples were boiled in Laemmli’s sample buffer (1:1, v/v) under reducing condition for 10 min. Immunodetection was performed with the use of rabbit polyclonal anti-Hyal-1 antibody (1:1000, NBP2-16906, Novus Biologicals), mouse polyclonal anti-Hyal-2 antibody (1:1000, H00008692-B02P, Novus Biologicals), mouse monoclonal anti-HAS2 antibody (1:1000, ab140671, Abcam), rabbit monoclonal anti-CD44 antibody (1:1000, ab189524, Abcam), rabbit monoclonal anti-RHAMM antibody (1:1000, ab124729, Abcam), rabbit monoclonal anti-phospho-extracellular signal-regulated kinase (ERK)1/2 antibody (1:1000, MAB1018, R&D Systems), rabbit polyclonal anti-p65 subunit of nuclear factor-kappa B (phospho-NF-κB) (1:1000, NB100-82086, Novus Biologicals), rabbit polyclonal anti-high-mobility group box1 (HMGB1) (1:1000, Cat. no. ab18256, Abcam), mouse monoclonal anti-VEGF antibody (1:750, MAB293, R&D Systems), mouse monoclonal anti-intercellular adhesion molecule-1 (ICAM-1) antibody (1:100, sc-8439, Santa Cruz Biotechnology Inc.), and mouse monoclonal anti-vascular cell adhesion molecule-1 (VCAM-1) antibody (1:100, sc-13160, Santa Cruz Biotechnology Inc.).
Techniques: Expressing, Control, Western Blot, Fluorescence, Standard Deviation, Molecular Weight, Injection, Saline