AMLSS Student Publication

2018

• Towers, Sherry, et al. "Quantifying the relative effects of environmental and direct transmission of norovirus." Royal Society open science 5.3 (2018): 170602.

2017

• Moreno, Victor, et al. "The role of mobility and health disparities on the transmission dynamics of Tuberculosis." Theoretical Biology and Medical Modelling 14.1 (2017): 3.
• Funderburk, Karen M., Scott S. Auerbach, and Pierre R. Bushel. "Crosstalk between receptor and non-receptor mediated chemical modes of action in rat livers converges through a dysregulated gene expression network at tumor suppressor Tp53." Frontiers in genetics 8 (2017): 157.
• Moreno, Victor M., et al. "Role of short-term dispersal on the dynamics of Zika virus in an extreme idealized environment." Infectious Disease Modelling 2.1 (2017): 21-34.

2016

• C. Castillo-Chavez, K. Barley, D. Bichara, D. Chowell, E. Diaz Herrera, B. Espinoza, V. Moreno, S. Towers, and K. E. Yong. "Modeling Ebola at the Mathematical and Theoretical Biology Institute (MTBI) " AMS Journal, (2016).

2015

• Patterson-Lomba, Oscar, et al. "Per capita incidence of sexually transmitted infections increases systematically with urban population size: a cross-sectional study." Sexually transmitted infections (2015): sextrans-2014.

2014

• Suazo, Erwin, Sergei K. Suslov, and José M. Vega-Guzmán. "The Riccati system and a diffusion-type equation." Mathematics 2.2 (2014): 96-118.
• Towers, Sherry, Oscar Patterson-Lomba, and Carlos Castillo-Chavez. "Emerging Disease Dynamics." (2014).
• Blanco, Krystal, Kamal Barley, and Anuj Mubayi. "Population Dynamics of Wolves and Coyotes at Yellowstone National Park: Modeling Interference Competition with an Infectious Disease." arXiv preprint arXiv:1408.6819 (2014).
• Gomez-Lievano, Andres. Applying Distributional Approaches to Understand Patterns of Urban Differentiation. Diss. Arizona State University, 2014.
• Patterson-Lomba, Oscar, et al. "Utilizing syndromic surveillance data for estimating levels of influenza circulation." American journal of epidemiology179.11 (2014): 1394-1401.
• Towers, Sherry, Oscar Patterson-Lomba, and Carlos Castillo-Chavez. "Temporal variations in the effective reproduction number of the 2014 West Africa Ebola outbreak." PLoS currents 6 (2014).
• Butler, Emmanuel J. Morales. Applications of Nonlinear Systems of Ordinary Differential Equations and Volterra Integral Equations to Infectious Disease Epidemiology. Diss. Arizona State University, 2014.
• Petitti, Diana B. "Heat-Related Deaths in Hot Cities: Estimates of Human Tolerance to High Temperature Thresholds." Int. J. Environ. Res. Public Health11 (2014): S2.
• Cruz-Aponte, Maytee. Epidemic Dynamics of Metapopulation Models. Arizona State University, 2014.

2013

• Morin, Benjamin R., Eli P. Fenichel, and CASTILLO‐CHAVEZ, CARLOS. "SIR dynamics with economically driven contact rates." Natural resource modeling 26.4 (2013): 505-525.
• López, R. M., S. K. Suslov, and J. M. Vega-Guzmán. "Reconstructing the Schrödinger groups." Physica Scripta 87.3 (2013): 038112.
• López, Raquel M., Sergei K. Suslov, and José M. Vega-Guzmán. "On a hidden symmetry of quantum harmonic oscillators." Journal of Difference Equations and Applications 19.4 (2013): 543-554.
• Patterson-Lomba, Oscar, et al. "Optimizing treatment regimes to hinder antiviral resistance in influenza across time scales." PloS one 8.3 (2013): e59529.

2012

• Kareva, Irina. Niche Construction, Sustainability and Evolutionary Ecology of Cancer. Diss. Arizona State University, 2012.
• Gomez-Lievano, Andres, HyeJin Youn, and Luis MA Bettencourt. "The statistics of urban scaling and their connection to Zipf’s law." PLoS One 7.7 (2012): e40393.
• Salau, Kehinde, et al. "Varying effects of connectivity and dispersal on interacting species dynamics." Ecological Modelling 242 (2012): 81-91.
• Kryuchkov, Sergey I., Sergei K. Suslov, and Jose M. Vega-Guzmán. "The minimum-uncertainty squeezed states for quantum harmonic oscillators."arXiv preprint arXiv:1201.0841 (2012).
• Tello-Bravo, David. A Mathematical Model of Dopamine Neurotransmission. Diss. Arizona State University, 2012.
• Morin, Benjamin. Computational and Analytical Mathematical Techniques for Modeling Heterogeneity. Diss. Arizona State University, 2012.

2011

• Smith, Adrian, et al. "Differential contribution of A-type potassium currents in shaping neuronal responses to synaptic input." BMC Neuroscience 12.Suppl 1 (2011): P147.
• Cruz-Aponte, Maytee, et al. "The role of the large-conductance calcium-dependent potassium channel, BK/Slowpoke, in shaping motor neuron firing during rhythmic activity." BMC Neuroscience 12.Suppl 1 (2011): P217.
• Cruz-Aponte, Maytee, Erin C. McKiernan, and Marco A. Herrera-Valdez. "Mitigating effects of vaccination on influenza outbreaks given constraints in stockpile size and daily administration capacity." BMC infectious diseases 11.1 (2011): 207.
• Herrera-Valdez, Marco Arieli, Maytee Cruz-Aponte, and Carlos Castillo-Chavez. "Multiple outbreaks for the same pandemic: local transportation and social distancing explain the different “waves” of A-H1N1pdm cases observed in Mexico during 2009." Mathematical Biosciences and Engineering 8.1 (2011): 21-48.
• Cordero-Soto, Ricardo, and Sergei K. Suslov. "The degenerate parametric oscillator and Ince's equation." Journal of Physics A: Mathematical and Theoretical 44.1 (2011): 015101.
• Lanfear, Nathan, Raquel M. López, and Sergei K. Suslov. "Exact wave functions for generalized harmonic oscillators." Journal of Russian Laser Research 32.4 (2011): 352-361.
• Suazo, Erwin, Sergei K. Suslov, and José M. Vega-Guzmán. "The Riccati differential equation and a diffusion-type equation." New York J. Math 17 (2011): 225-244.
• Lopez, Raquel M., Sergei K. Suslov, and Jose M. Vega-Guzman. "On the harmonic oscillator group." arXiv preprint arXiv:1111.5569 (2011).
• Kareva, Irina. "What can ecology teach us about cancer?." Translational oncology 4.5 (2011): 266-270.
• Kareva, Irina. "Prisoner’s dilemma in cancer metabolism." PloS one 6.12 (2011): e28576.
• Morales-Butler, Emmanuel J. "Transmissibility of H5N1 avian influenza in Nigeria: The 2006 epidemic." (2011).
• Sánchez-Álvarez, José J., María Higuera, and José M. Vega. "Optimal streaks in a Falkner–Skan boundary layer." Physics of Fluids (1994-present) 23.2 (2011): 024104
• Sanchez, F., D. Murillo, and C. Castillo-Chavez. "Change in Host Behavior and its Impact on the Transmission Dynamics of Dengue." International Symposium on Mathematical and Computational Biology. Vol. 5. 2011.
• Morin, Benjamin R. "Explicit Solutions to the Continuous Time Albert-Barab\'asi Scale-Free Model." arXiv preprint arXiv:1105.0882 (2011).

2010

• Kareva, Irina, Faina Berezovskaya, and Carlos Castillo-Chavez. "Myeloid cells in tumour–immune interactions." Journal of biological dynamics 4.4 (2010): 315-327.
• Morin, Benjamin R., et al. "Static behavioral effects on gonorrhea transmission dynamics in a MSM population." Journal of theoretical biology 267.1 (2010): 35-40.
• Morin, Benjamin R., et al. "Notes from the heterogeneous: a few observations on the implications and necessity of affinity." Journal of biological dynamics 4.5 (2010): 456-477.
• Cordero-Soto, Ricardo, and Sergei K. Suslov. "Time reversal for modified oscillators." Theoretical and Mathematical Physics 162.3 (2010): 286-316.
• Cordero-Soto, Ricardo, Erwin Suazo, and Sergei K. Suslov. "Quantum integrals of motion for variable quadratic Hamiltonians." Annals of Physics 325.9 (2010): 1884-1912.
• Lopez, Raquel M., Benjamin R. Morin, and Sergei K. Suslov. "Logistic models with time-dependent coefficients and some of their applications." arXiv preprint arXiv:1008.2534 (2010).
• Cordero-Soto, Ricardo. "A Heuristic Derivation Of The Schrodinger Equation and the Momentum Operator." arXiv preprint arXiv:1004.4935 (2010).
• Ortiz, Angela, et al. "A discrete events delay differential system model for transmission of Vancomycin-resistant enterococcus (VRE) in hospitals." Journal of Inverse and Ill-Posed Problems 18.7 (2010): 787-821.
• Rogers, Bruce, and David Murillo. "Pigs, Parties, and Noise: How Stochasticity Impacts the Robustness of the Tsembaga Cultural Practices." Natural Resource Modeling 23.4 (2010): 437-466.

2009

• Rogers, Bruce, and David Murillo. "Control of Opinions in an Ideologically Homogeneous Population." Social Computing and Behavioral Modeling. Springer US, 2009. 1-9.
• Castro, Francis N., Ivelisse Rubio, and José M. Vega. "Divisibility of exponential sums and solvability of certain equations over finite fields." The Quarterly Journal of Mathematics 60.2 (2009): 169-181.
• Romero, Daniel M., et al. "An epidemiological approach to the spread of political third parties." Available at SSRN 1503124 (2009).
• López, Raquel M., Sergei K. Suslov, and Erika T. Camacho. "A Mechanism For Stabilization of Dynamics in Nonlinear Systems with Different time Scales." arXiv preprint arXiv:0907.1609 (2009).
• Lopez, Raquel M., and Sergei K. Suslov. "The Cauchy problem for a forced harmonic oscillator." Rev. Mex. Fis. E 55 (2009): 196-215.
• Cordero-Soto, Ricardo, Erwin Suazo, and Sergei K. Suslov. "Models of damped oscillators in quantum mechanics." Journal of Physical Mathematics 1 (2009).
• Cordero-Soto, Ricardo, and Sergei K. Suslov. "Expectation Values $< r^ p> $ for Harmonic Oscillator in $ R^ n$." arXiv preprint arXiv:0908.0032 (2009).
• Rios-Doria, Daniel, et al. "Spatial and temporal dynamics of rubella in Peru, 1997–2006: geographic patterns, age at infection and estimation of transmissibility." Mathematical and statistical estimation approaches in epidemiology. Springer Netherlands, 2009. 325-341.
• Rios-Doria, D., and G. Chowell. "Qualitative analysis of the level of cross-protection between epidemic waves of the 1918–1919 influenza pandemic." Journal of Theoretical Biology 261.4 (2009): 584-592.
• Romero, Daniel M., Mubayi, Anuj, et al. "An epidemiological approach to the spread of political third parties." Available at SSRN 1503124 (2009).

2008

• Mubayi, Anuj. The role of environmental context in the dynamics and control of alcohol use. ProQuest, 2008.
• Chowell, G., et al. "Spatial and temporal dynamics of dengue fever in Peru: 1994–2006." Epidemiology and infection 136.12 (2008): 1667-1677.
• Meiler, Maria, Ricardo Cordero–Soto, and Sergei K. Suslov. "Solution of the Cauchy problem for a time-dependent Schrödinger equation." Journal of Mathematical Physics 49.7 (2008): 072102.
• Cordero-Soto, Ricardo, et al. "Propagator of a charged particle with a spin in uniform magnetic and perpendicular electric fields." Letters in Mathematical Physics 84.2-3 (2008): 159-178.

2007

• Morales, Romarie, Mubayi, Anuj, et al. "Modelling transmission dynamics for the 1918-1919 influenza pandemic in Montreal and Winnipeg." (2007).
• Morales, Romarie, Mubayi, Anuj, et al. "Modeling transmission dynamics for the fall wave of the 1918-1919 Influenza Pandemic in Montreal and Winnipeg." (2007).

2006

• Engman, Martin, and Ricardo Cordero-Soto. "Intrinsic spectral geometry of the Kerr-Newman event horizon." Journal of mathematical physics 47.3 (2006): 033503.

2004

• Evangelista, Arlene M., et al. "USA the fast food nation: Obesity as an epidemic." Los Alamos National Laboratory (2004).