Titulo/Appointment: Catedrática Auxiliar
Departamento/Department: Matemática – Física
Institución/Institution: UPR Cayey
E-mail: maytee.cruz@upr.edu
Teléfono/Phone: 787-738-2161 Ext. 2236

Areas de Investigacion/Key Research Areas:
Epidemiology, Mathematical Biology, Computational Matemathics, Differential Equations, Dynamical Systems, Stochastic Processes, Metapopulation models, mathematical models
My research work is related to mathematical models of life events such as the dynamic of metapopulation models of the spread of diseases. The topics of mathematical population and biological disease models is a way to apply mathematics in real-life situations that are important for our society, to protect the population from an epidemic, and to help governments make wise decisions to eradicate or mitigate the effect of diseases with interventions such as treatments or vaccinations. We can study models to predict the outcome of a specific intervention on the course of an epidemic over time within the population locally or globally. We use differential equations and computer simulations to study different scenarios and analyze mathematically the systems of equations as well.
Publicaciones/Publications: (*undergraduates students)
  1. Araz, O. M., Cruz-Aponte M., Hanisch B., and Margalit, R. Designing Screen and Treat Programs for a Sexually Transmitted Disease Using Correctional Systems. INFORMS Journal on Computing (Under Revision February 2020)
  2. Morales, D., Paredes, M., Morales-Butler, E. J., Cruz-Aponte, M., Arriola, L., Cevallos, V., … & Mubayi, A. (2019). Data scarcity and ecological complexity: the cutaneous leishmaniasis dynamics in Ecuador. Journal of the Royal Society Interface, 16(157), 20190141.
  3. Cruz-Aponte M. and Wirkus, S., Kolmogorov Equations Applied to a SIS coupled Epidemiological Model. Mathematical Scientist 41, 108 -118 (2016)
  4. Pérez-Rivera, D.T.∗, Torres-Torres, V.L.∗, Torres-Colón, A.E.∗ and Cruz-Aponte M.; Development of a Computational Model of Glucose Toxicity in the Progression of Diabetes Mellitus. Mathematical Biosciences and Engineering, Vol. 13 Num. 5, 2016. doi:10.3934/mbe.2016029
  5. Cruz-Aponte, M.; Metapopulation and Non-proportional Vaccination Models Overview. Advances in the Mathematical Sciences. Springer International Publishing, 2016. 187-207.
  6. Cruz-Aponte M., and Collazo-Rivera, M.∗, Avian Influenza Type A-H5N1 Epidemiological Model: Puerto Rico as a Case Study. SM Vaccines and Vaccination Journal, 1(1), 05. 2015
  7. Cruz-Aponte, M.; Epidemic Dynamics of Metapopulation Models. (Doctoral Dissertation) Arizona State University. 2014. 237 pp., http://hdl.handle.net/2286/R.I.21041
  8. Cruz-Aponte M., McKiernan E.C., and Herrera-Valdez M.A., Mitigation effects of vaccination on influenza outbreaks given constraints in stockpile size and daily administration capacity. BMC Infectious Diseases 11(1) 2011. doi:10.1186/1471-2334-11-207
  9. Herrera-Valdez, M.A., Cruz-Aponte, M., and Castillo-Chavez, C., Multiple Outbreaks for the same pandemic: Local Transportation and Social Distancing explain the Different “waves” of A-H1N1PDM cases Observed in M´exico during 2009. Mathematical Biosciences and Engineering. Vol 8, Num. 1, pp. 21-50 January 2011. doi:10.3934/mbe.2011.8.21
  10. Herrera-Valdez M.A., Smith, A., Cruz-Aponte M., and McKiernan E.C., Biophysical modeling of excitability and membrane integration at the single cell and network levels. Twentieth Annual Computational Neuroscience Meeting: CNS*2011 Stockholm, Sweden. 23-28 July 2011. BMC Neuroscience 2011, 12(Suppl 1):P218 doi:10.1186/1471-2202-12-S1-P218
  11. Smith, A., Cruz-Aponte M., McKiernan E.C., Crook S., and Herrera-Valdez M.A., Differential contribution of A-type potassium currents in shaping neuronal responses to synaptic input. Twentieth Annual Computational Neuroscience Meeting: CNS*2011 Stockholm, Sweden. 23-28 July 2011. BMC Neuroscience 2011, 12(Suppl 1):P147 doi:10.1186/1471-2202-12-S1-P147
  12. Cruz-Aponte M., Smith, A., Herrera-Valdez M.A., and McKiernan E.C., The role of the large-conductance calcium-dependent potassium channel, BK/Slowpoke, in shaping motor neuron firing during rhythmic activity. Twentieth Annual Computational Neuroscience Meeting: CNS*2011 Stockholm, Sweden. 23-28 July 2011. BMC Neuroscience 2011, 12(Suppl 1):P217 doi:10.1186/1471-2202-12-S1-P217
Colaboradores/Collaborators:
Dr. Marco Herrera-Valdez – Centro de Investigación Sobre Enfermedades Infecciosas, Instituto Nacional de Salud Pública Dr. Erin McKiernan – Centro de Investigación Sobre Enfermedades Infecciosas, Instituto Nacional de Salud Pública Dr. Diano Marrone – Wilfrid Laurier University Dr. Emmanuel Morales-Butler – Arizona State University Dr. Stephen Wirkus – Arizona State University
Curriculum Vitae: