Julia Arciero

Associate Professor, Mathematical Sciences

LD 270D
(317) 274-6998
Research Areas:
Mathematical Biology


Professor Arciero's research in applied mathematics involves the development and analysis of ordinary and partial differential equation models of physiological phenomena including blood flow regulation, the immune response, inflammation, and cell migration. She is dedicated to using interdisciplinary approaches in her research and has established multiple collaborations with experimentalists and clinicians.

Currently, Prof. Arciero is working on the following projects:

  1. Peripheral Arterial Disease – Prof. Arciero is collaborating with Prof. Chandan Sen in the IU School of Medicine and Prof. Jared Barber (Mathematics, IUPUI) on a combined theoretical and experimental modeling approach to studying peripheral arterial disease. Her mathematical model will be used to optimize experimental design to focus on the most relevant vascular segments in studies of vascular compensation to health and disease.
  2. Glaucoma – Prof. Arciero is collaborating with ophthalmologists Dr. Alon Harris, Dr. Brent Siesky, and Dr. Alice Verticchio (Icahn School of Medicine at Mount Sinai), mathematician Dr. Brendan Fry (Metropolitan State University of Denver), and statistician George Eckert (Indiana University School of Medicine) on a combined clinical and theoretical study of the relationship between vascular factors and the incidence and progression of glaucoma. Her team has built a tissue oxygenation model that provides realistic predictions of retinal blood flow and oxygenation under healthy and glaucomatous conditions.
  3. Transplant Rejection – Prof. Arciero is collaborating with Dr. Giorgio Raimondi (Johns Hopkins University) on a mathematical and experimental model of transplant rejection and treatment. The objective of this work is to identify new and effective strategies to promote transplant tolerance.
  4. Inflammation (sepsis; stress) – Prof. Arciero is collaborating with Dr. Yoram Vodovotz (University of Pittsburgh Medical School) to develop two mechanistic mathematical models that incorporate the effects of the inflammatory response in response to bacterial sepsis and in response to stress and lifestyle interventions.

These collaborations will provide important insight into biological questions and demonstrate the depth and value of mathematical methods.

Previous postdoctoral and graduate work

Prof. Arciero developed theoretical models to investigate an inflammatory disease of the gut called necrotizing enterocolitis (NEC), which affects premature infants. NEC is thought to be related to an immature intestinal wall, an exaggerated inflammatory response, and impaired cell migration. She studied the contributions of these factors to NEC using two models: a compartmental ODE model that predicts conditions under which probiotic bacterial treatment may promote health (joint work with Bard Ermentrout, Jonathan Rubin, Yoram Vodovotz, and David Hackam's lab) and a two-dimensional continuum mechanical model of collective cell migration (joint work with David Swigon and Qi Mi).

Prof. Arciero studied metabolic regulation and autoregulation in the context of skeletal muscle. In addition to modeling vascular responses to pressure and shear stress, she modeled a conducted response mechanism in which ATP released by red blood cells at a site of oxygen demand causes an electrical signal to travel upstream along the vessel wall and trigger arteriolar vasodilation so that more blood is sent to the region of demand. She designed a representative segment ODE model that was based on the active and passive length-tension characteristics of vascular smooth muscle and was used to calculate the steady state vessel diameter and smooth muscle tone as oxygen consumption was increased from a resting to maximal exercise state. The model predicted an increase in flow that was consistent with experimental observations. She also examined the model's predictions of limit cycle oscillations in vessel diameter as a potential mechanism for vasomotion (joint work with Timothy Secomb).


  • Ph.D. in Applied Mathematics, University of Arizona
  • M.S. in Applied Mathematics, University of Arizona
  • B.S. in Mathematics, University of Michigan

Publications & Professional Activity

41. Albright, A., Fry, B.C., Verticchio, A., Siesky, B., Harris, A., Arciero, J.C. Metabolic blood flow regulation in a hybrid model of the human retinal microcirculation. Mathematical Biosciences. 357:108969 (2023).

40. Siesky, B., Harris, A., Vertichhio Vercellin, A., Arciero, J.C., Fry, B., Eckert, G., Guidoboni, G., Oddone, F., Antman, G. Heterogeneity of ocular hemodynamic biomarkers among open angle glaucoma patients of African and European descent. Journal of Clinical Medicine. 12(4) (2023) https://doi.org/10.3390/jcm12041287

39. Lapp, M., Lin, G., Komin, A., Andrews, L., Knudson, M., Mossman, L., Raimondi, G., Arciero, J.C. Modeling the potential of Treg-based therapies for transplant rejection: effect of dose, timing, and accumulation site. Transplant International. 35:10297. (2022) https://doi.org/10.3389/ti.2022.10297

38. Zhao, E., Barber, J., Sen, C.K., Arciero, J.C. Modeling acute and chronic vascular responses to a major arterial occlusion. Microcirculation. (2021). https://doi.org/10.1111/micc.12738

37. Barber, J., Carpenter, A., Torsey, A., Borgard, T., Namas, R., Vodovotz, Y., Arciero, J.C. Predicting experimental sepsis survival with a mathematical model of acute inflammation. Frontiers in Systems Biology. (2021). https://doi.org/10.3389/fsysb.2021.755913

36. Arciero, J., Fry, B., Albright, A., Mattingly, G., Scanlon, H., Abernathy, M., Siesky, B. Vercellin, A.V., Harris, A. Metabolic signaling in a theoretical model of the human retinal microcirculation. Photonics. 8, 409. (2021). https://doi.org/10.3390/photonics8100409

35. Fry, B.C., Harris, A., Siesky, B., Arciero, J.C. Blood flow regulation and oxygen transport in a heterogeneous model of the mouse retina. Mathematical Biosciences. 329. (2020). https://doi.org/10.1016/j.mbs.2020.108476

34. Harris, A., Guidoboni, G., Siesky, B., Mathew, S., Verticchio Vercellin, A.C., Rowe, L., Arciero, J.C. “Ocular blood flow as a clinical observation: value, limitations, and data analysis.” Progress in Retinal and Eye Research. 78 (2020) https://doi.org/10.1016/j.preteyeres.2020.100841

33. Shughoury, A., Matthew, S., Arciero, J.C., Wurster, P., Adjei, S., Ciulla, T., Siesky, B., Harris, A. “Retinal oximetry in glaucoma: investigations and findings reviewed.” Acta Ophthalmologica 98(6):559-571. doi: 10.1111/aos.14397 (2020)

32. Zhao, E., Barber, J.O., Burch, M., Unthank, J., Arciero, J.C. “Modeling acute blood flow responses to a major arterial occlusion.” Mircorcirculation.https://doi.org/10.1111/micc.12610 (2020).

31. Arciero, J.C., Lembcke, L., Burch, M., Franko, E., Unthank, J. “Assessing the hemodynamic contribution of capillaries, arterioles, and collateral arteries to vascular adaptations in arterial insufficiency.” Microcirculation. 27(2):e12591. (2020)

30. Arciero, J.C., Carichino, L., Cassani, S., Guidoboni, G. “Mathematical modeling of blood flow in the eye” to appear in Mathematical modeling of ocular fluid dynamics. From theory to clinical applications. Springer. 2019

29. Fry, B.C., Coburn, B.E., Whiteman, S., Harris, A., Siesky, B., Arciero, J.C. Predicting retinal tissue oxygenation using an image-based theoretical model. Mathematical Biosciences. 305:1-9. 2018.

28. Arciero, J.C., Causin, P., Malgaroli, F.  Mathematical methods for modeling the microcirculation.  AIMS Biophysics. 4(3):  362-399. doi: 10.3934/biophy.2017.3.362.  2017.

27. Raimondi, G., Wood, K., Perelson, A.S., Arciero, J.C.  Editorial:  Transplant rejection and tolerance—Advancing the field through integration of computational and experimental investigation.  Frontiers in Immunology. 8:616. 2017

26. Arciero J.C., Maturo A., Arun A., Chol Oh B., Brandacher G., and Raimondi G.  Combining Theoretical and Experimental Techniques to Study Solid Organ Transplant Rejection.  Frontiers in Immunology. 7:448. doi: 10.3389/fimmu.2016.00448, 2016.

25. Cassani, S., Arciero, J.C., Guidoboni, G., Siesky, B., Harris, Al.  Theoretical predictions of metabolic flow regulation in the retina.  Journal for Modeling in Ophthalmology, 1(2), https://doi.org/10.35119/maio.v1i2.32 (2016).

24. Carichino, L., Harris, A., Guidoboni, G., Siesky, B.A., Pinto, L.A., Vandewall, E., Olafsdottir, O.B., Hardarson, S.H., Van Keer, K., Stalmans, I., Stefansson, E., Arciero, J.C.  A theoretical investigation of the increase in venous oxygen saturation levels in glaucoma patients.  Journal for Modeling in Ophthalmology, 1(1):64-87, 2016.

23. Wentz, S., Seizys, C., Guidoboni, G., Arciero, J.C., Hutchins, K., Siesky, B., Harris, A.  “The role of blood flow in glaucoma” in Glaucoma Research and Clinical Advances:  2016 to 2018.  pp. 243-260.  Kugler Publications 2016

22. Prada D., Harris, A., Guidoboni, G., Siesky, B., Huang, A.M., Arciero, J.C.  Autoregulation and neurovascular coupling in the optic nerve head.  Survey of Ophthalmology. doi: 10.1016/j.survophthal.2015.10.004, 2015.

21. Cassani, S., Harris, A., Siesky, B., Arciero, J.C.  Theoretical analysis of the relationship between changes in retinal blood flow and ocular perfusion pressure.  J. Coupled Syst. Multiscale Dyn. 3(1):38-46, 2015.

20. Ford Versypt AN, Makrides E, Arciero J, Ellwein L, Layton AT.  Bifurcation study of blood flow control in the kidney. Mathematical Biosciences 263:169-179, 2015

19. Arciero J, Ellwein L, Ford Versypt AN, Makrides E, and Layton AT. Modeling blood flow control in the kidney.  IMA Volumes in Mathematics and its Applications, 158:55-73, 2015

18. Arciero, J.C.,“Modeling blood flow autoregulation in the retina” in Integrated multidisciplinary approaches in the study and care of the human eye.  Kugler Publications 2014.

17. Guidoboni, G., Harris, A., Cassani, S. Arciero, J.C., Siesky, B., Amireskandari, A., Tobe, L., Egan, P., Januleviciene, I., Park, J. Intraocular pressure, blood pressure, and retinal blood flow autoregulation: A mathematical model to clarify their relationship and clinical relevance. Invest. Ophthalmol. Vis. Sci. 55:4105-4118, 2014.

16. Arciero, J.C., Harris, A., Siesky, B.A., Amireskandari, A., Gershuny, V., Pickrell, A., Guidoboni, G. Theoretical analysis of vascular regulatory mechanisms contributing to retinal blood flow autoregulation. Investigative Ophthalmology and Visual Science. 54(8):5584-5593, 2013; doi: 10.1167/iovs.12-11543.

15. Guidoboni, G., Harris, A., Arciero, J.C., Siesky, B.A., Amireskandari, A., Gerber, A.L.,  Huck, A.H., Kim, N.J., Cassani, S., Carichino, L. Mathematical modeling approaches in the study of glaucoma disparities among people of African and European descents. J. Coupled Syst. Multiscale Dyn. 1:1-21, 2013

14. Nguyen, T., Arciero, J., Piltz, J., Hartley, K.D., Rickard, T., Denton, R.  Kinetic study of competitive catalytic transfer hydrogenation on a multifunctional molecule:  4-benzyloxy-4’-chlorochalcone.  Reaction Kinetics, Mechanisms and Catalysis.  doi:10.1007/s11144-013-0627-5 (2013)

13. Sarmah S., Muralidharan P, Curtis C, McClintick J. N, Buente B, Holdgrafer D, Ogbeifun O, Olorungbounmi O, Patino L, Lucas R, Gilbert S, Groninger E, Arciero J, Edenberg H. J., and J. A. Marrs.  Ethanol exposure disrupts extraembryonic microtubule cytoskeleton and embryonic blastomere cell adhesion, producing epiboly and gastrulation defects. Biology Open, doi: 10.1242/bio.20135546, 2013.

12. Arciero, J.C., Ermentrout, G.B., Siggers, R., Afrazi, A., Hackam, D., Vodovotz, Y., Rubin, J.  Modeling the interactions of bacteria, the immune response, and Toll-like receptors in necrotizing enterocolitis.  Journal of Theoretical Biology.  (2013) doi:10.1016/j.jtbi.2012.12.002

11. Harris A, Guidoboni G, Arciero JC, Amireskandari A, Tobe L, Siesky BA.  Ocular Hemodynamics and Glaucoma: The Role of Mathematical Modeling, European Journal of Ophthalmology. 23(2):139-146, 2013

10. Arciero, J.C., Mi, Q., Branca, M., Hackam, D., Swigon, D.  Using a continuum model to predict closure time of wounded intestinal epithelial cell layers.  Wound Repair and Regeneration.  21(2):256-265, 2013

9. Arciero, J.C., Swigon, D.  “Equation-based modeling of wound healing and collective cell migration” in Complex Systems and Computational Biology Approaches to Acute Inflammation.  Springer Science+Business Media.  2012

8. Arciero, J.C., Barber, J.B., Kim, M.  “Modeling host-pathogen interactions in necrotizing enterocolitis” in Complex Systems and Computational Biology Approaches to Acute Inflammation.  Springer Science+Business Media.  2012

7. Arciero, J.C. and Secomb, T.W.  Spontaneous oscillations in a model for active control of microvessel diameters.  Mathematical Medicine and Biology (2011) doi:10.1093/imammb/dqr005

6. Arciero, J.C., Mi, Q., Branca, M.F., Hackam, D.J., Swigon, D.  Continuum Model of Collective Cell Migration in Wound Healing and Colony Expansion.  Biophysical Journal  100:1-9, 2011

5. Arciero, J.C., Ermentrout, G.B., Upperman, J.S., Vodovotz, Y., Rubin, J.E.  Using a Mathematical Model to Analyze the Role of Probiotics and Inflammation in Necrotizing Enterocolitis. PLoS ONE 5(4): e10066. doi:10.1371/journal.pone.0010066, 2010

4. Arciero, J.C., Begg, R., Wilkie, K., et al. A Mechanism for Ventricular Expansion in Communicating Hydrocephalus. Proceedings of the OCCAM-Fields-MITACS Biomedical Problem Solving Workshop, 2009

3. Arciero, J.C., Carlson, B.E., Secomb, T.W.  Roles of oxygen-dependent ATP release by red blood cells and conducted responses in metabolic regulation of blood flow.  Am J Physiol Heart Circ Physiol 295: H1562-H11571, 2008

2. Carlson, B.E., Arciero, J.C., Secomb, T.W.  Relative influence of myogenic, shear-dependent, and conducted responses on vascular autoregulation.  Am J Physiol Heart Circ Physiol 295: H1572-H1579, 2008.

1. Arciero, J.C., Jackson, T.L., Kirschner, D.E.  A mathematical model of tumor immune evasion and siRNA treatment.  Discrete Contin. Dynam. Sys.  4(1):39-58 2004.


  • Society for Mathematical Biology
  • Institute for Mathematical Modeling and Computational Science
  • Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA
  • Association for Research in Vision and Ophthalmology (ARVO), Rockville, MD
  • Association for Women in Mathematics (AWM), Fairfax, VA


Current support

  • NIH R01EY030851 (Co-PI: Arciero). “Integration of clinical measures and theoretical modeling to quantify sectorial specific changes in ocular structure, function, and hemodynamics.” (2020-2024)
  • NSF DMS-1654019 (PI: Arciero). “CAREER: Integrating theory and experiment to assess the contribution of distinct vascular segments in arterial insufficiency” (2017-2024)
  • NSF DMS-2150108 (PI: Arciero). “REU Site: IUPUI REU Program in mathematics with applications to medicine, neuroscience, and fluid dynamics" (2022-2025)
  • NSF DMS-1852146 (PI: Arciero). “REU Site: IUPUI REU Program in mathematics with applications to medicine, neuroscience, and engineering" (2019 – 2024)

Completed support

  • NSF DMS-1559745 (PI: Arciero). “REU Site: IUPUI REU Program in mathematics with applications to medical sciences, biophysics, and inverse problems” (2016-2020)
  • NSF DMS-1643130 (Co-PI: Arciero). “Midwest Women in Mathematics Symposium” (2017)
  • Purdue Research Fund (PI: Arciero). “Integrating theory and experiment to assess the contribution of distinct vascular segments in arterial insufficiency” (July 2016).
  • NSF DMS-1224195 (Co-PI: Arciero). “Mathematical Modeling of Ocular Mechanics, Circulation, and Oxygenation and their Relation to Glaucoma,” (2012-2015)
  • NSF DMS-1341619 (Co-PI: Arciero). International Supplement to “Mathematical Modeling of Ocular Mechanics, Circulation, and Oxygenation and their Relation to Glaucoma,” (2013-2015)
  • Burroughs Wellcome Fund Collaboration Grant (PI: Arciero). “Combining theoretical and experimental techniques to study transplant rejection,” (2014-2015)
  • iM2CS-GEIRE (Grants to Enhance Interdisciplinary Research and Education) recipient, “Assessing the contribution of distinct vascular segments in arterial insufficiency in rat and human,” IUPUI, (2015)
  • iM2CS-GEIRE (Grants to Enhance Interdisciplinary Research and Education) recipient, “An integrated approach to studying transplant rejection,” IUPUI, (2012-2013)
  • iM2CS-GEIRE (Grants to Enhance Interdisciplinary Research and Education) recipient, “Combining experimental and theoretical techniques to quantify vascular compensation,” IUPUI, (2012-2013)


  • 2023 Kathryn J. Wilson Award for Outstanding Leadership and Mentoring of Undergraduate Research, IUPUI, Spring 2023
  • 2021 Women’s Leadership Award, IUPUI, Spring 2021
  • Bernie Morrel Teaching Award, IUPUI, Spring 2019
  • Pre-tenure Research Award, IUPUI, Spring 2017
  • Trustees Teaching Award, IUPUI, Spring 2015
  • Bernie Morrel Teaching Award, IUPUI, Spring 2014
  • Overseas Conference Grant, IUPUI, Summer 2013
  • Favorite Professor, IUPUI, Spring 2014 and Fall 2011