Welcome! this is my personal website.

Contact information

• Email: paola.lizarralde@gmail.com
• Github: polislizarralde
• Keybase: paolalizarralde
• Research Gate: Diana-Lizarralde
• Google scholar: Lizarralde-Bejarano
• Linkedln: paola-lizarralde

About me

Welcome to my academic website! I am a Colombian mathematician with a broad range of interests, including mathematical modeling, data analysis, pure mathematics, algorithms, parameter estimation, mathematical logic, and quantitative methods. I am passionate about exploring the connections between these various fields and finding new ways to apply mathematical techniques to solve real-world problems. I am currently working as a postdoc in the Centre for Ecological and Evolutionary Synthesis (CEES) at the University of Oslo (UiO) on the NORDEMICS project, a historical epidemiology project which examines the impact of pathogens and pandemics on the development of Nordic societies.

In my free time, I am also an avid cat lover, so be sure to check out my cat’s Instagram account@agdatomasa.

Research work

In September 2021, I obtained a Ph.D. in the Mathematical engineering program at the Universidad EAFIT in the Department of Mathematics under the advisory of María Eugenia Puerta and Sair Arboleda My research focuses on combining formal mathematical tools like interval analysis, differential equations, and mathematical optimization to study of transmission of infection diseases. The title of my Ph.D. thesis is “Interval analysis for handling uncertainty in epidemiological models based on ODEs that simulate the transmission of infectious diseases with application to Dengue transmission”.

During my Ph.D., I worked as a research assistant in the project Early warning system for dengue in Riohacha, Neiva, Bello, and Itagüí, as a tool for the taking of decisions in favor of prevention and control.

Before all this, I wrote a master thesis titled: “Understanding epidemics from mathematical models. Details of the 2010 Dengue epidemic in Bello (Antioquia, Colombia)” for the master program of Applied mathematics at Universidad EAFIT.

Keywords: Biomathematics, Interval Analysis, Parameter estimation, Optimization, Differential Equations

Publications

• 🚀 Alexandra Catano-Lopez, Daniel Rojas-Díaz, Diana Paola Lizarralde-Bejarano, and María Eugenia Puerta-Yepes (Feb. 2023). A discrete model for the evaluation of public policies: The case of Colombia during the COVID-19 pandemic. PLoS ONE 18(2): e0275546. https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0275546

• 🚀 Alexandra Catano-Lopez, Daniel Rojas-Díaz, Diana Paola Lizarralde-Bejarano, and María Eugenia Puerta-Yepes (Sep. 2022). Discrete models in epidemiology: New contagion probability functions based on real data behavior. Bulletin of Mathematical Biology 84, 127. https://link.springer.com/article/10.1007/s11538-022-01076-6

• 🚀 Diana Paola Lizarralde-Bejarano, Hayriye Gulbudak, Ralph Baker Kearfott, and María Eugenia Puerta-Yepes (Jul. 2022). Modeling the uncertainty in epidemiological models through interval analysis considering actual data from two municipalities in Colombia affected by dengue. Applied Mathematical Modelling, 111, pp. 739-752. https://www.sciencedirect.com/science/article/pii/S0307904X22003316

• Diana Paola Lizarralde-Bejarano, Daniel Rojas-Díaz, Sair Arboleda-Sánchez, and María Eugenia Puerta-Yepes (Mar. 2020). Sensitivity, uncertainty and identifiability analyses to define a dengue transmission model with real data of an endemic municipality of Colombia. PLoS ONE 15(3): e0229668. DOI: 10.1371/journal.pone.0229668.

• Alexandra Catano-Lopez, Daniel Rojas-Díaz, Henry Laniado, Sair Arboleda-Sánchez, María Eugenia Puerta-Yepes, and Diana Paola Lizarralde-Bejarano (Oct. 2019). An alternative model to explain the vectorial capacity using as example Aedes aegypti case in dengue transmission. Heliyon 5.10, e02577. DOI: 10.1016/j.heliyon.2019.e02577.

• Diana Paola Lizarralde-Bejarano, Sair Arboleda-Sánchez, and María Eugenia Puerta-Yepes (Mar. 2017). Understanding epidemics from mathematical models: Details of the 2010 dengue epidemic in Bello (Antioquia, Colombia). Applied Mathematical Modelling 43, pp. 566–578. DOI: 10.1016/j.apm.2016.11.022.

• Mayra Parra-Amaya, María Eugenia Puerta-Yepes, Diana Paola Lizarralde-Bejarano, and Sair Arboleda-Sánchez (Mar. 2016). Early Detection for Dengue Using Local Indicator of Spatial Association (LISA) Analysis. Diseases 4.4, p. 16. DOI: 10.3390/diseases4020016.

Selected talks

• “Interval analysis for the treatment of uncertainty in epidemiological models based on systems of ordinary differential equations”. Applied Mathematics Seminar Department of Mathematics, University of Louisiana at Lafayette. November 2018 Louisiana, United States.

• “Stability analysis of nonlinear systems using optimization techniques”. International Conference on Applied Mathematics and Informatics, ICAMI 2017. Universidad del Valle and Universidad EAFIT. November 2017. San Andrés, Colombia. Video.

• “Análisis de la epidemia de dengue ocurrida en Bello (Antioquia, Colombia) en 2010 a partir de Modelos Matemáticos”. XVII Fall School of Mathematical Biology and XI National Meeting of Mathematical Biology. Universidad Veracruzana campus Xalapa. November 2015. Xalapa, México.

• “Model of Transmission of Dengue virus in Bello”. Latin American Congress of Biomathematics, Solabima. Instituto de Biociencias, UNESP. July 2015. Botucatu, Brasil.

• “Modelo de Transmisión del virus del Dengue en Bello”. VII International Congress of Training and Modeling in Basic Sciences. Universidad de Medellín. May 2015. Medellín, Colombia.

Teaching experience

• Faculty of Engineering, Universidad Distrital Francisco José de Caldas. Teaching Award in 2011 and 2012. 2009 – 2014, Bogotá, Colombia.
  • Calculus I-III, Differential, Equations Logic
• Faculty of Engineering, Escuela Colombiana de Carreras Industriales ECCI. 2009 – 2013, Bogotá, Colombia.
  • Calculus I-III, Linear Algebra, Discrete Math
• Department of Mathematics, Universidad Jorge Tadeo Lozano. 2011-2012. Bogotá, Colombia.
  • Differential Equations, and Basic Mathematics
• Department of Mathematics, Universidad Nacional de Colombia. 2008. Bogotá, Colombia.
  • Calculus I.

Software

• To conduct my research I use the following scientific mathematical software:
  • Wolfram Mathematica v12+, MS Excel
• Programming languages:
  • Wolfram Language, Python 3.9, LaTeX 2.7
• Text editors and others:
  • VS Code, Sublime Text, MS Word, Google Docs, Overleaf, MS PowerPoint, and Beamer

Software projects

• Public projects/scripts:
  • Finding a solution to traveling salesman problem variant called ATSP-TW. Python script using the CPlex solver. Gist
  • Polynomial Optimization for stability analysis and control. Handelman’s polynomial application. Python script. Gist.
• Private projects:
  • Bridge/Connection between Mathematica and VSPODE. It is implemented in C++ and Wolfram Language, and it was part of my Ph.D. thesis.
  • (Active) Android app to detect the lumens of light for a better working environment. Implemented in Kotlin and Compose.

More information

Check out my CV.

---

Paola Lizarralde-Bejarano's website