Brendan Fry

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Brendan Fry

Professor of Mathematics and Statistics

Mathematics & Statistics

Degree

PhD in Applied Mathematics

University of Arizona

MS in Applied Mathematics

University of Arizona

BS in Mathematics

University of Arizona

Published Works

  • Brennan, S., Khatun, T., Fry, C. B., Weiss, C., Siesky, B., Verticchio, A., Harris, A., Arciero, J. (2025). Modeling the impact of venous collapsibility on retinal oxygenation. [Manuscript submitted for publication]. Journal of Theoretical Biology.
  • Wood Shalem, K., Harris, A., Verticchio Vercellin, C. A., Siesky, A. B., Schanzer, N., Sidoti, A. P., Tai, T., Tsai, C. J., Eckert, J. G., Lloyd, O. H., Packles, M., Fry, C. B., Arciero, C. J. (2025). Differences in macular and optic nerve head structure-function-hemodynamic relationships in primary open-angle glaucoma. Investigative Ophthalmology & Visual Science,
  • Isserow, J. L., Srivastava, A., Beaudett, B., Arciero, C. J., Fry, C. B., Verticchio Vercellin, C. A., Siesky, A. B., Wood, K., Schanzer, N., Mortenson, R., Oddone, F., Carnevale, C., Harris, A. (2025). Extraction and analysis of retinal photographic oximetry images. Investigative Ophthalmology & Visual Science,
  • Siesky, A. B., Harris, A., Fry, C. B., Verticchio Vercellin, C. A., Wood, K., Schanzer, N., Weiss, C., Safir, F., Harris, D., Brennan, S., Oddone, F., Carnevale, C., Arciero, C. J. (2025). Modeling the impact of venous collapsibility on retinal blood flow. Investigative Ophthalmology & Visual Science,
  • Arciero, J., Fry, C. B., Albright, A., Antman, G., Verticchio, A., Siesky, B., Eckert, G., Harris, A. (2025). Impact of vascular network structure heterogeneity on retinal tissue oxygenation. La Matematica, 423-642. https://doi.org/10.1007/s44007-025-00164-y.
  • Ritzer, L., Harris, A., Arciero, J., Siesky, B., Fry, C. B., Januleviciene, I., Oddone, F., Carnevale, C., Eckert, G., Verticchio Vercellin, A. (2025). Vascular density and retinal structure relationships across sectors and regions of the optic nerve in patients with primary open angle glaucoma. Journal of Glaucoma, 34(4), 267-274. .
  • Fry, C. B., Arciero, J., Gyurek, C., Albright, A., Siesky, B., Verticchio, A., Harris, A. (2025). Using a theoretical model to assess the impact of vascular risk factors on autoregulation in the retina. IOVS, 66(1). .
  • Fry, C. B., Gyurek, C., Albright, A., Eckert, G., Coleman-Belin, J., Verticchio, A., Siesky, B., Harris, A., Arciero, J. (2024). Predicting the impact of retinal vessel density on retinal vessel and tissue oxygenation using a theoretical model. Mathematical Biosciences, 377 .
  • Riina, N., Harris, A., Siesky, B., Ritzer, L., Pasquale, L., Tsai, J., Keller, J., Wirostko, B., Arciero, J., Fry, C. B., Eckert, G., Verticchio Vercellin, A., Antman, G., Sidoti, P., Guidoboni, G. (2024). Using Multi-Layer Perceptron Driven Diagnosis to Compare Biomarkers for Primary Open Angle Glaucoma. Investigative Ophthalmology & Visual Science, 65 .
  • Verticchio Vercellin, C. A., Harris, A., Oddone, F., Carnevale, C., Siesky, A. B., Arciero, J., Fry, C. B., Eckert, G., Sidoti, A. P., Antman, G., Alabi, D., Coleman-Belin, C. J., Pasquale, R. L. (2024). Diagnostic capability of OCTA-derived Macular Biomarkers for Primary Open Angle Glaucoma. Journal of Clinical Medicine, 13(14), 4190. https://doi.org/10.3390/jcm13144190.
  • Kellner, R., Arciero, J., Fry, C. B., Gyurek, C., Albright, L. A., Verticchio Vercellin, C. A., Siesky, A. B., Ritzer, L., Harris, A. (2024). Predicting the impact of blood flow autoregulation capacity on retinal oxygenation in early and advanced glaucoma using a theoretical model. Investigative Ophthalmology & Visual Science,
  • Verticchio Vercellin, C. A., Harris, A., Oddone, F., Carnevale, C., Siesky, A. B., Arciero, J., Fry, C. B., Eckert, G., Sidoti, A. P., Antman, G., Alabi, D., Coleman-Belin, C. J., Pasquale, R. L. (2024). Superficial capillary plexus vascular densities are reduced in patients with primary open angle glaucoma. Investigative Ophthalmology & Visual Science,
  • Ritzer, L., Harris, A., Pasquale, R. L., Siesky, A. B., Verticchio Vercellin, C. A., Fry, C. B., Eckert, G., Tai, T. T., Fabczak-Kubicka, A., Alabi, D., Tessone, I., Chang, M., Arciero, J. (2024). The relationship between hemodynamics and structure is most strongly correlated in the temporal regions of the optic nerve in patients with primary open angle glaucoma. Investigative Ophthalmology & Visual Science,
  • Fry, C. B., Arciero, J., Gyurek, C., Albright, L. A., Siesky, A. B., Verticchio, A., Harris, A. (2024). Using a theoretical model to assess the impact of retinal capillary loss and autoregulation capacity in glaucoma. Investigative Ophthalmology & Visual Science,
  • Riina, N., Harris, A., Siesky, A. B., Tsai, C. J., Sekeh, Y. S., Wirostko, B., Arciero, J., Fry, C. B., Eckert, G., Verticchio Vercellin, C. A., Antman, G., Sidoti, A. P., Guidoboni, G. (2024). Utilizing neural network models on optical coherence tomography angiography biomarkers to enhance diagnosis of primary open angle glaucoma. Investigative Ophthalmology & Visual Science,
  • Verticchio Vercellin, A., Siesky, B., Antman, G., Oddone, F., Chang, M., Eckert, G., Arciero, J., Kellner, R., Fry, C. B., Coleman-Belin, J., Carnevale, C., Harris, A. (2023). Regional vessel density reduction in the macula and optic nerve head of patients with pre-perimetric primary open angle glaucoma. Journal of Glaucoma, 32(11), 930-941. https://doi.org/10.1097/IJG.0000000000002310.
  • Verticchio Vercellin, C. A., Harris, A., Siesky, A. B., Arciero, J., Fry, C. B., Oddone, F., Eckert, G., Sidoti, A. P., Antman, G., Belamkar, A., Pasquale, R. L. (2023). Macular and optic nerve head vascular densities are reduced in patients with pre-perimetric primary open angle glaucoma. IOVS,
  • Coleman-Belin, J., Harris, A., Fry, C. B., Albright, A., Siesky, B., Verticchio, A., Chang, M., Antman, G., Kellner, R., Eckert, G., Arciero, J. (2023). Predicting the impact of of retinal capillary density on retinal vessel and tissue oxygenation using a theoretical model. IOVS,
  • Siesky, A. B., Harris, A., Antman, G., Verticchio Vercellin, C. A., Arciero, J., Eckert, G., Fry, C. B., Fabczak-Kubicka, A., Januleviciene, I., Stoskuviene, A., Wegner, A., Oddone, F. (2023). Radial peripapillary capillary vessel density loss is associated with structural and visual field damage in patients with open-angle glaucoma. IOVS,
  • Antman, G., Harris, A., Fry, C. B., Albright, A., Pasquale, L., Januleviciene, I., Pakuliene, G., Verticchio, A., Siesky, B., Eckert, G., Oddone, F., Arciero, J. (2023). Simulated impact of vascular network structure heterogeneity on retinal tissue oxygenation. IOVS,
  • Albright, A., Fry, C. B., Verticchio, A., Siesky, B., Harris, A., Arciero, J. (2023). Metabolic blood flow regulation in a hybrid model of the human retinal microcirculation. Mathematical Biosciences, 357 https://doi.org/10.1016/j.mbs.2023.108969.
  • Siesky, B., Harris, A., Verticchio, A., Arciero, J., Fry, C. B., Eckert, G., Guidoboni, G., Oddone, F., Antman, G. (2023). Heterogeneity of ocular hemodynamic biomarkers among open angle glaucoma patients of African, Asian, Hispanic, and European descent. Journal of Clinical Medicine, 12(4), 1287. https://doi.org/10.3390/jcm12041287.
  • Siesky, B., Harris, A., Verticchio, A., Arciero, J., Fry, C. B., Oddone, F., Eckert, G., Belamkar, A., Pasquale, L. (2022). Retinal and optic nerve head structure and hemodynamics in open angle glaucoma patients of African and European descent. Investigative Ophthalmology & Visual Science,
  • Wolf, A., Harris, A., Siesky, B., Verticchio, A., Eckert, G., Fry, C. B., Fabczak-Kubicka, A., Beach, J., Albright, A., Arciero, J. (2022). Using mathematics and experiments to identify regional tissue hypoxia masked by mean global retinal oxygenation. Investigative Ophthalmology & Visual Science,
  • Fry, C. B., Arciero, J., Albright, A., Verticchio, A., Siesky, B., Harris, A. (2022). Predicted impact of flow regulation mechanisms and intraocular pressure on retinal tissue oxygenation. Investigative Ophthalmology & Visual Science,
  • Arciero, J., Fry, C. B., Albright, A., Mattingly, G., Scanlon, H., Abernathy, M., Siesky, B., Verticchio, A., Harris. (2021). Metabolic signaling in a theoretical model of the human retinal microcirculation. Photonics, 8(10), 409. https://doi.org/10.3390/photonics8100409.
  • Fry, C. B., Secomb, W. T. (2021). Distinct roles of red-blood-cell-derived and wall-derived mechanisms in metabolic regulation of blood flow. Microcirculation, 28(5), e12690. https://doi.org/10.1111/micc.12690.
  • Verticchio, A., Harris, A., Siesky, B., Albright, A., Fry, C. B., Beach, J., Eckert, G., Arciero, J. (2021). Developing a heterogeneous model of the arteriolar vasculature in the human retina. Investigative Ophthalmology & Visual Science,
  • Arciero, J., Fry, C. B., Mattingly, G., Albright, A., Siesky, B., Verticchio, A., Harris, A. (2021). Metabolic status of the retina predicted using a hybrid mathematical model. Investigative Ophthalmology & Visual Science,
  • Fry, C. B., Harris, A., Siesky, B., Arciero, J. (2020). Blood flow regulation and oxygen transport in a heterogeneous model of the mouse retina. Mathematical Biosciences, 32908476. https://doi.org/10.1016/j.mbs.2020.108476.
  • Arciero, J., Fry, C. B., Verticchio, A., Siesky, B., Harris, A. (2020). Modeling conducted metabolic responses in the mouse retina. Investigative Ophthalmology & Visual Science,
  • Rowe, L., Harris, A., Fry, C. B., Verticchio Vercellin, C. A., Siesky, B., Arciero, J. (2019). Theoretical predictions of oxygenation in a heterogeneous vascular network of the retina. Investigative Ophthalmology & Visual Science,
  • Fry, C. B., Coburn, B. E., Whiteman, S., Harris, A., Siesky, B., Arciero, J. (2018). Predicting retinal tissue oxygenation using an image-based theoretical model. Mathematical Biosciences, 305-9. https://doi.org/10.1016/j.mbs.2018.08.005.
  • Chen, Y., Fry, C. B., Layton, T. A. (2017). Modeling glucose metabolism and lactate production in the kidney. Mathematical Biosciences, 28916-129. https://doi.org/10.1016/j.mbs.2017.04.008.
  • Chen, Y., Fry, C. B., Layton, T. A. (2016). Modeling glucose metabolism in the kidney. Bulletin of Mathematical Biology, 78318-1336. https://doi.org/10.1007/s11538-016-0188-7.
  • Fry, C. B., Edwards, A., Layton, T. A. (2016). Impact of nitric-oxide-mediated vasodilation and oxidative stress on renal medullary oxygenation: A modeling study. American Journal of Physiology - Renal Physiology, 310237-F247. https://doi.org/10.1152/ajprenal.00334.2015.
  • Fry, C. B., Edwards, A., Layton, T. A. (2015). Impacts of nitric oxide and superoxide on renal medullary oxygen transport and urine concentration. American Journal of Physiology - Renal Physiology, 308967-F980. https://doi.org/10.1152/ajprenal.00600.2014.
  • Sgouralis, I., Evans, G. R., Gardiner, S. B., Smith, A. J., Fry, C. B., Layton, T. A. (2015). Renal hemodynamics, function, and oxygenation during cardiac surgery performed on cardiopulmonary bypass: A modeling study. Physiological Reports, 312260. https://doi.org/10.14814/phy2.12260.
  • Fry, C. B., Edwards, A., Sgouralis, I., Layton, T. A. (2014). Impact of renal medullary three-dimensional architecture on oxygen transport. American Journal of Physiology - Renal Physiology, 307263-F272. https://doi.org/10.1152/ajprenal.00149.2014.
  • Fry, C. B., Layton, T. A. (2014). Oxygen transport in a cross-section of the rat inner medulla: Impact of heterogeneous distribution of nephrons and vessels. Mathematical Biosciences, 2588-76. https://doi.org/10.1016/j.mbs.2014.09.009.
  • Fry, C. B., Roy, K. T., Secomb, W. T. (2013). Capillary recruitment in a theoretical model for blood flow regulation in heterogeneous microvessel networks. Physiological Reports, 100050. https://doi.org/10.1002/phy2.50.
  • Fry, C. B. (2013). Theoretical models for blood flow regulation in heterogeneous microvascular networks. University of Arizona Library.
  • Fry, C. B., Lee, J., Smith, P. N., Secomb, W. T. (2012). Estimation of blood flow rates in large microvascular networks. Microcirculation, 1930-538. https://doi.org/10.1111/j.1549-8719.2012.00184.x.

Office Hours

Monday - [14:00 to 15:20]
Wednesday - [14:00 to 15:20]

Additional Information

https://sites.msudenver.edu/bfry2