Curriculum Vitae

Education

Doctor of Philosophy (Ph.D.)

Field of Study: Applied Mathematics

1999 – 2006

Work Experience

Publications

A. Cintrón-Arias, Digital Learning of Undergraduate Mathematics for STEM Careers.  In preparation

A. Cintrón-Arias, R. Nivens, A. Godbole, and C.B. Purvis, Mathematical Modeling as a Means to Capacity Building in 21st Century STEM Careers.  Submitted to SIAM Review, 29 July 2019 [Pre-print]

F. Sanchez, L.A. Barboza, D. Burton, and A. Cintrón-Arias, Comparative Analysis of Dengue versus Chikungunuya Outbreaks in Costa Rica, Ricerche di Matematica 67 (2018), 163 – 174 [Pre-print]

J. E. Forde, S. M. Ciupe, A. Cintrón-Arias, and S. Lenhart, Optimal Control Of Drug Therapy in a Hepatitis B Model, Appl. Sci. 6 (2016), 219 [Open Access Article]

Cintrón-Arias, A.: To Go Viral. (Unpublished manuscript.) [Pre-print]

A. Cintrón-Arias and A. Godbole, A Decade of Undergraduate Research for all ETSU Mathematics Majors, Involve 7, 281-293 (2014) [Open Access Article]

S.M. Cameron and A. Cintrón-Arias, Prisoner’s Dilemma on Real Social Networks: Revisited, Math. Biosci. Eng. 10 (2013), 1381 – 1398 [Pre-print]

H.T. Banks, A. Cintrón-Arias, and F. Kappel, Parameter Selection Methods in Inverse Problem Formulation. In: J.J. Batzel, M. Bachar, F. Kappel (eds.) Mathematical Modeling and Validation in Physiology: Application to the Cardiovascular and Respiratory Systems, Lecture Notes in Mathematics, Mathematical Biosciences Subseries, Springer-Verlag, Berlin, 2013 [Pre-print]

A. Cintrón-Arias,  H.T. Banks, A. Capaldi, and A.L. Lloyd, A Sensitivity Matrix Based Methodology for Inverse Problem Formulation, J. Inv. Ill-Posed Problems 17 (2009), 545 – 564 [Pre-print]

H.T. Banks, K. Holm, N.C. Wanner, A. Cintrón-Arias, G.M. Kepler, and J.D. Wetherington, A Mathematical Model for the First-Pass Dynamics Of Antibiotics Acting on the Cardiovascular System, Math. Comput. Model. 50 (2009), 959 – 974 [Open Access Article]

A. Cintrón-Arias, F. Sanchez, X. Wang, C. Castillo-Chavez, D.M. Gorman, and P.J. Gruenewald, The Role of Nonlinear Relapse on Contagion Amongst Drinking Communities.  In Mathematical and Statistical Estimation Approaches in Epidemiology, (Chowell et al., eds.), Springer, New York, 2009 [Pre-print]

A. Cintrón-Arias, C. Castillo-Chavez, L.M.A. Bettencourt, A.L. Lloyd, and H.T. Banks, The Estimation of the Effective Reproductive Number from Disease Outbreak Data, Math. Biosci. Eng. 6 (2009), 261 – 282 [Pre-print]

G. Chowell, A. Cintrón-Arias, S. Del Valle, F. Sanchez, B. Song, J.M. Hyman, H.W. Hethcote, and C. Castillo-Chavez, Mathematical Applications Associated with the Deliberate Release of Infections Agents.  In: Gumel, A., Castillo-Chavez, C., Clemence, D.P., Mickens, R.E. (eds.) Mathematical studies on human disease dynamics: emerging paradigms and challenges.  Contemp. Math., 410, pp. 51-72. Amer. Math. Soc., Providence (2006)

A.L. Lloyd, S. Valeika, and A. Cintrón-Arias, Infection Dynamics on Small World Networks.  In: A. Gumel, C. Castillo-Chavez, D.P. Clemence, R.E. Mickens, (eds.) Mathematical studies on human disease dynamics: emerging paradigms and challenges.  Contemp. Math., 410, pp. 209-234, Amer. Math. Soc., Providence (2006)

L.M.A. Bettencourt, A. Cintrón-Arias, D.I. Kaiser, and C. Castillo-Chavez, The Power of A Good Idea: Quantitative Modeling of the Spread of Ideas from Epidemiological Models, Physica A 364 (2006), 513 – 536 [Pre-print]