Publications

Journal Articles

Under Review

[17] Roberts, P. A.,2024. Mathematical Models of Retinal Oxygenation and Metabolism in Health and Disease. (invited review for Invest. Ophthalmol. Vis. Sci.) (under review, 60 pages)

In Press

Published

[16] Roberts, P.A., 2025. Perspective on running a mathematical and computational ophthalmology seminar series. Artif. Intell. Vis. Ophthalmol., 1(1):1-5. (invited opinion letter) DOI

[15] Roberts, P.A., Thomas, C.N., Bellamy Plaice, G., Roberts, J.A., Jones, M.C., Andrews, J.W., Hill, L.J., 2025. Mathematical models of topically and intravitreally applied ranibizumab. Invest. Ophthalmol. Vis. Sci., 66(11):45 (26 pages). DOI (bioRxiv)

[14] Tweedy, J.H., Dvoriashyna, M., Crawshaw, J.R., Overby, D.R., Repetto, R., Roberts, P.A., Spelman, T.A., Stewart, P.S., Foss, A.J.E., 2025. A Model of the Mechanisms Underpinning Unconventional Aqueous Humor Outflow. Invest. Ophthalmol. Vis. Sci., 66(4):75 (20 pages). DOI

[13] Roberts, P.A., 2024. Advice to a Young Mathematical Biologist. Bull. Math. Biol., 86:52 (15 pages). DOI

[12] Seifert, M., Roberts, P. A., Kafetzis, G., Osorio, D., Baden, T., 2023. Birds multiplex spectral and temporal visual information via retinal On- and Off-channels. Nat. Commun., 14:5308 (19 pages). DOI (bioRxiv) (Data & Code)

[11] Hernandez, R., Roberts, P.A., El-Bouri, W.K, 2023. Advancing Treatment of Retinal Disease through in silico Trials. Prog. Biomed. Eng., 5:022002 (41 pages) (invited review) DOI

[10] Wang, X., Roberts, P.A., Yoshimatsu, T., Lagnado, L., Baden, T., 2023. Amacrine cells differentially balance zebrafish colour circuits in the central and peripheral retina. Cell Rep., 42(2):112055 (22 pages). DOI (bioRxiv) (Data)

[9] Roberts, P.A., 2022. Inverse Problem Reveals Conditions for Characteristic Retinal Degeneration Patterns in Retinitis Pigmentosa under the Trophic Factor Hypothesis. Front. Aging Neurosci., 14(765966): (17 pages). (invited article) DOI (bioRxiv)

[8] Roberts, P.A., 2022. Mathematical Models of Retinitis Pigmentosa: The Trophic Factor Hypothesis. J. Theor. Biol., 534:110938 (22 pages) (epub ahead of print, 2021). DOI (bioRxiv)

[7] Zhou, M., Bear, J., Roberts, P.A., Janiak, F.K., Semmelhack, J., Yoshimatsu, T., Baden, T., 2020. Zebrafish Retinal Ganglion Cells Asymmetrically Encode Spectral and Temporal Information across Visual Space. Curr. Biol., 30(15): 2927-2942. DOI (bioRxiv) (Data & Code)

[6] Roberts, P.A., Huebinger, R.M., Keen, E., Krachler, A.M., Jabbari, S., 2019. Mathematical Model Predicts Anti-adhesion–Antibiotic–Debridement Combination Therapies Can Clear an Antibiotic Resistant Infection. PLoS Comput. Biol., 15(7):e1007211 (39 pages). DOI

[5] Roberts, P.A., Huebinger, R.M., Keen, E., Krachler, A.M., Jabbari, S., 2018. Predictive Modelling of a Novel Anti-adhesion Therapy to Combat Bacterial Colonisation of Burn Wounds. PLoS Comput. Biol., 14(5):e1006071 (28 pages). (selected by PLoS for press release) DOI (arXiv) (Code)

[4] Roberts, P.A., Gaffney, E.A., Whiteley, J.P., Luthert, P.J., Foss, A.J.E., Byrne, H.M., 2018. Predictive Mathematical Models for the Spread and Treatment of Hyperoxia-induced Photoreceptor Degeneration in Retinitis Pigmentosa. Invest. Ophthalmol. Vis. Sci., 59(3):1238-1249. DOI

[3] Roberts, P.A., Gaffney, E.A., Luthert, P.J., Foss, A.J.E., Byrne, H.M., 2017. Mathematical Models of Retinitis Pigmentosa: The Oxygen Toxicity Hypothesis. J. Theor. Biol., 425:53-71. DOI

[2] Roberts, P.A., Gaffney, E.A., Luthert, P.J., Foss, A.J.E., Byrne, H.M., 2016. Mathematical and Computational Models of the Retina in Health, Development and Disease. Prog. Retin. Eye Res., 53:48-69. (invited review) DOI

[1] Roberts, P.A., Gaffney, E.A., Luthert, P.J., Foss, A.J.E., Byrne, H.M., 2016. Retinal Oxygen Distribution and the Role of Neuroglobin. J. Math. Biol., 73(1):1-38. DOI

Published Conference Abstracts

[3] Roberts, P.A., Ting, D.S.J, 2024. Mathematical Modelling for Predicting the Synergistic Effect of Antibiotic-Host Defence Peptide Combination Therapy for the Treatment of Bacterial Keratitis. Invest. Ophthalmol. Vis. Sci., 65(7):5602. Direct link

[2] Roberts, P.A., Andrews, J.W., Thomas, C.N., Jones, M.C., Hill, L.J, 2023. Mathematical Models of Topically Administered Ocular Drug Delivery. Invest. Ophthalmol. Vis. Sci., 64(8):2208. Direct link

[1] Tweedy, J.H., Dvoriashyna, M., Repetto, R., Crawshaw, J.R., Overby, D.R., Roberts, P.A., Spelman, T.A., Stewart, P.S., Foss, A.J.E., 2023. Uveo-scleral flow: understanding the mechanism of unconventional drainage. Invest. Ophthalmol. Vis. Sci., 64(8):3769. Direct link