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Julia Arciero Ph.D.

Assistant Professor, Mathematical Sciences


  • Ph.D. in Applied Mathematics, University of Arizona

  • M.S. in Applied Mathematics, University of Arizona

  • B.S. in Mathematics, University of Michigan

Professional Affiliations

  • 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

Teaching Assignments


Fall 2014:

  • MATH 423:  Discrete Modeling
  • MATH 598:  Modeling oxygen transport
  • MATH 598:  Modeling blood flow regulation

Other courses previously taught at IUPUI:

  • MATH 266:  Ordinary Differential Equations (Spring 2014, Fall 2013, Spring 2013)
  • MATH 426:  Introduction to Applied Mathematics and Modeling (Spring 2014, Spring 2013, Spring 2012)
  • MATH 171:  Multidimensional Mathematics (Fall 2013)
  • MATH S-165:  Honors Calculus I (Fall 2012, Fall 2011)
  • MATH 221:  Technical Calculus I (Fall 2012)

University of Pittsburgh

  • MATH 0290:  Applied Differential Equations
  • MATH 0240:  Analytic Geometry & Calculus 3    
  • MATH 0230:  Analytic Geometry & Calculus 2    
  • MATH 0220:  Analytic Geometry & Calculus 1

University of Arizona

  • MATH 111:  Trigonometry

Current Research

Prof. 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. Joseph Unthank in the Department of Surgery in the IU School of Medicine 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 working with Prof. Guidoboni (mathematics) and professors in the IU Department of Ophthalmology on a model of retinal blood flow in relation to glaucoma.  In  particular, they are investigating the relationship between impaired blood flow regulation and the incidence and progression of glaucoma.  She is collaborating with Brendan Fry (Duke University) on a tissue oxygentaion model that will help to provide realistic predictions of retinal conditions under healthy and glaucomatous conditions. 
  3. Transplant Rejection.  Prof. Arciero is working with Dr. Giorgio Raimondi (Johns Hopkins University) on a mathematical and experimental model of transplant rejection.  Currently, no theoretical models have been developed in the field of transplant rejection.  The objective of this project is to develop a theoretical model to predict which components of the immune response lead to the rejection of an organ transplant and to identify new and effective strategies to promote transplant tolerance. 
  4. Kidney Blood Flow.  Prof. Arciero is collaborating with Prof. Anita Layton (Duke University), Prof. Laura Ellwein (Virginia Commonwealth University), Prof. Ashlee Ford Versypt (Oklahoma State University), and Elizabeth Makrides (Brown University) on a model that couples a mechanistic model of chloride ion transport in the loop of Henle to a vessel wall mechanics model describing the nonlinear effects of the myogenic and TGF responses on vascular smooth muscle tone in the afferent arteriole and includes the lag time dynamics associated with communicating the measured chloride concentration at the macula densa to the smooth muscle cells of the afferent arteriole.
  5. Necrotizing Enterocolitis.  Prof. Arciero is collaborating with Dr. Afrazi (University of Pittsburgh) on a mathematical model that is used to test the effects of various elements in the integrin signaling cascade on integrin activation and cell migration using an experimentally-derived relationship between cell migration speed and force generated by integrins.

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).

Select Publications

  1. 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 flow autoregulation:  a mathematical model to clarify their relationship and clinical relevance.  IOVS 55:4105-4118; 2014
  2. 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.
  3. 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
  4. 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)
  5. 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,  In Press, 2013.
  6. 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
  7. 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
  8. 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.  (submitted 2012)
  10. 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.  (submitted 2012)
  11. 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
  12. 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
  13. 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
  14. 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
  15. 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
  16. 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.
  17. 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.



  • SIAM Life Sciences

  • MBI Systems Biology Workshop


  • ARVO Annual Meeting

  • World Glaucoma Congress (Vancouver, British Columbia, Canada)

  • Integrated multidisciplinary approaches in the study and care of the human eye (Milan, Italy)

  • Institute for Mathematics and its Applications Special Workshop:  WhAM!  A Research Collaboration Workshop for Women in Applied Mathematics, Dynamical Systems with Applications to Biology and MedicineARVO Annual Meeting

  • University of Genoa (Italy) – Special Seminar

  • Association for Women in Mathematics Research Symposium 2013

  • Experimental Biology 2013

  • Quantitative Biology Colloquium at the University of Arizona

  • Fourth Annual Eugene and Marilyn Glick Eye Institute Vision Research Symposium

  • Electrical and Computer Engineering Seminar (IUPUI)

  • Faculty Homecoming Luncheon

  • Innovation to Enterprise Forum & Showcase


  • Experimental Biology

  • ARVO Annual Meeting

  • 9th AIMS International Conference on Dynamical Systems, Differential Equations and Applications

  • SIAM Conference on the Life Sciences

  • University of Delaware Applied Math Seminar

  • Midwest Numerical Analysis Day Conference at Notre Dame

  • Indiana University Biocomplexity Institute Seminar

  • Purdue University Applied Math Seminar


  • NIMBioS Workshop on Renal Blood Flow Regulation

  • NHLBI-VCU World Congress

  • SIAM Conference on Applications of Dynamical Systems (Snowbird)


  • Biophysical Theory Club (Pitt)

  • Biomechanics Day in Pittsburgh

  • MAA MathFest2010

  • SIAM Conference on the Life Sciences

  • Shock 2010

  • SIAM Great Lakes Conference: Modeling and Numerical PDEs in Mathematical Biology

  • Bryn Mawr MathBio Seminar Series


  • 2009 International Conference on Complexity in Acute Illness

  • Society of Mathematical Biology 2009 Annual Meeting

  • Math-in-Medicine OCCAM-Fields-MITACS Biomedical Problems Solving WorkshopAbstract     

  • University of Pittsburgh Complex Biological Systems Group: Theme Days

  • Institute for Mathematics and its Applications: Career Options for Women in Mathematical Sciences

  • Cold Spring Harbor Laboratory: Computational Cell Biology

  • Mathematical Biosciences Institute Workshop: Wound Healing


  • 8th World Congress for the Microcirculation

  • Experimental Biology 2007

  • Mathematical Biosciences Institute Workshop: Blood flow in the microcirculation

Awards & Honors

  • Burroughs Welcome Fund Collaborative Travel Award, 2014
  • Bernie Morrel Teaching Award, 2014
  • NSF DMS-1224195 “Mathematical Modeling of Ocular Mechanics, Circulation, and Oxygenation and their Relation to Glaucoma,” 2012-2015

  • iM2CS-GEIRE (Grants to Enhance Interdisciplinary Research and Education) recipient, IUPUI, 2012-2013

  • Favorite Professor, IUPUI, 2011 and 2014