Publications

Journal Articles

Under Review

[17] Roberts, P.A., 2025. Perspective on running a mathematical and computational ophthalmology seminar series. (invited opinion letter with MAIO) (under review, 5 pages)

[16] 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

[15] Roberts, P.A., Thomas, C.N., Bellamy Plaice, G., Roberts, J.A., Jones, M.C., Andrews, J.W., Hill, L.J., 2024. Mathematical models of topically and intravitreally applied ranibizumab. (accepted and in press with Invest. Ophthalmol. Vis. Sci., 63 pages). (bioRxiv)

Published

[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