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Julia Arciero



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

Courses Taught / Teaching


Fall 2017:

  • MATH 171:  Multidimensional Mathematics
  • MATH 526:  Applied Mathem

Other courses previously taught at IUPUI:

  • MATH 266:  Ordinary Differential Equations (Fall 2016, Fall 2015, Spring 2014, Fall 2013, Spring 2013)
  • MATH 232:  Calculus II for the Life Sciences (Spring 2016)
  • MATH 423:  Discrete Modeling (Fall 2014)
  • MATH 426:  Introduction to Applied Mathematics and Modeling (Spring 2017, Spring 2014, Spring 2013, Spring 2012)
  • MATH 526:  Applied Mathematics Modeling (Fall 2015)
  • 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


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 collaborating with Prof. Guidoboni (University of Missouri) and professors in the IU Department of Ophthalmology (Dr. Alon Harris, Dr. Brent Siesky) 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 (Metropolitan State University of Denver) 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 previously collaborated 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 previously collaborated 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).

Publications & Professional Activities


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.  (under review, 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, (submitted February 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.

Professional Affiliations

Honors, Awards and Grants

  • NSF DMS-1654019 (PI: Arciero).  "CAREER: Integrating theory and experiment to assess the contribution of distint vascular segments in arterial insufficiency"
  • NSF DMS-1559745 (PI: Arciero).  "REU Site:  IUPUI REU Program in mathematics with applications to medical sciences, biophysics, and inverse problems"
  • Pre-tenure Research Award (IUPUI), 2017
  • Trustee's Teaching Award, 2015
  • Burroughs Welcome Fund Collaborative Travel Award, 2014
  • Bernie Morrel Teaching Award, 2014
  • NSF DMS-1224195 (Co-PI: Arciero) "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




  • SIAM Dynamical Systems
  • SMB Annual Meeting


  • Rose-Hulman Technological Institues Applied Math Seminar
  • Great Lakes Transplant Immunology Forum
  • SIAM Life Sciences
  • AIMS International Conference on Dynamical Systems, Differential Equations and Applications
  • Virginia Commonwealth University BAMM (Biology and Medicine in Mathematics)
  • Invited Lecture - Sigma Zeta National Math and Science Honor Society at Marian University
  • Department of Mathematics Colloquium at Ball State University


  • iM2CS/Biomath Seminar Talk at IUPUI
  • IUPUI Department of Physics Colloquium


  • Great Lakes Transplant Immunology Forum
  • Department of Mathematics Colloquium at Eastern Illinois University
  • Virginia Commonwealth University - Biomath Seminar
  • Association for Ocular Circulation
  • iMMCS Research Symposium
  • SIAM Life Sciences 2014
  • Science on Tap (IUPUI School of Science) - invited presentation
  • MBI Workshop:  Molecular to Systems Biology
  • AIM SQUARE 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
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