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Publications

Cintron-Arias, A.: To Go Viral. (Submitted to The College Mathematics Journal, February 13, 2014.)[PDF]

Lunsford, J., Cintron-Arias, A.: Assessing Treatments in Epidemics of Heavy Drinking.  (Submitted to Mathematical Biosciences and Engineering, Sep. 16, 2013.)

Cintron-Arias, A, Godbole, A.: A Decade of Undergraduate Research for All ETSU Mathematics Majors.  Involve 7, 281-293 (2014).[PDF]

Cameron, S.M., Cintron-Arias, A.: Prisoner’s Dilemma on Real Social Networks: Revisited.  Submitted to Mathematical Biosciences and Engineering, 2012.

Banks, H.T., Cintron-Arias, A., Kappel, F.: Parameter selection methods in inverse problem formulation.  In Mathematical Model Development and Validation in Physiology: Application to the Cardiovascular and Respiratory Systems, Lecture Notes in Mathematics, Mathematical Biosciences Subseries, Springer-Verlag, 2011, to appear. [PDF].

Cintron-Arias, A., Banks, H.T., Capaldi, A., Lloyd, A.L.: A sensitivity matrix based methodology for inverse problem formulation. J. Inv. Ill-Posed Problems 17, 545-564 (2009) [PDF].

Banks, H.T., Holm, K., Wanner, N.C., Cintron-Arias, A., Kepler, G.M., Wetherington, J.D.: A mathematical model for the first-pass dynamics of antibiotics acting on the cardiovascular system. Math. Comput. Model. 50, 959-974 (2009) [PDF].

Cintron-Arias, A., Sanchez, F., Wang, X., Castillo-Chavez, C., Gorman, D.M., Gruenewald, P.J.: The role of nonlinear relapse on contagion amongst drinking communities.  Mathematical and Statistical Estimation Approaches in Epidemiology, (Chowell et al., eds.), Springer, New York [PDF, Tech. Report]].

Cintron-Arias, A., Castillo-Chavez, C., Sanchez, F.: Sensitivity analysis of drinking dynamics: From deterministic to stochastic formulations.  Center for Research in Scientific Computation Technical Report CRSC-TR08-14, NCSU, October, 2008[PDF].

Cintron-Arias, A., Castillo-Chavez, C., Bettencourt, L.M.A., Lloyd, A.L., Banks, H.T.: The estimation of the effective reproductive number from disease outbreak data. [Long version, PDF].  Math. Biosci. Eng. 6, 261-282 (2009) [PDF].

Bettencourt, L.M.A., Cintron-Arias, A., Kaiser, D.I., Castillo-Chavez, C.: The power of a good idea: quantitative modeling of the spread of ideas from epidemiological models.  Physica A 364, 513-536 (2006) [PDF].
 
Chowell, G., Cintron-Arias, A., Del Valle, S., Sanchez, F., Song, B., Hyman, J.M., Hethcote, H.W., Castillo-Chavez, C.: 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) [PDF].

Lloyd, A., Valeika, S., Cintron-Arias, A.: Infection dynamics on small world networks.  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. 209-234, Amer. Math. Soc., Providence (2006) [PDF].

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