Some of my main research lines are related to:
Global optimization methods for industrial problems:
Goals:
A) Develop global optimization methods for tackling problems with computationally intensive cost functions.
B) Validate those methods on benchmarks cases.
C) Apply those methods to solve complex industrial problems.
Keywords: Industrial Design, Genetic Algorithms, Metaheuristic, Global Optimization, Credit Risk Management, Shape-Optimization
URL: https://www.researchgate.net/project/Global-optimization-methods-for-industrial-problems
Modelling and optimization with Comsol Multiphysics. Application to Industrial design problems.
Goals:
A) Propose pedagogical materials about Comsol Multiphysics and its application for solving industrial design problems.
B) Illustrate the efficiency the proposed methodologies on real problems.
Keywords: Industrial Design, COMSOL Multiphysics, Mathematical Models, Global Optimization
Modelling and design of microfluidic devices
Goals:
A) Propose mathematical models to estimate the performances of some microfluidic devices;
B) According to some design parameters, define optimization problems to improve those performances;
C) Solve those optimizations problems by using global optimization approaches;
D) Validate numerically and experimentally the obtained results.
Keywords: Industrial Design, Mathematical Models, Microfluidic Engineering, Global Optimization, Sensitivity and Uncertainty Analysis
URL: https://www.researchgate.net/project/Modelling-and-design-of-microfluidic-devices
Water resource cleaning
Goals:
A) Develop mathematical models to:
(i) Predict and detect sources of pollutant;
(ii) Optimize the cleaning process of contaminated water.
B) Apply the previous methodology for real- time forecast and analysis.
Keywords: Wastewater Treatment, Partial Differential Equations, Bioreactors, Mathematical Models, Oil Spill Simulation, Optimization Methods
URLs: https://www.researchgate.net/project/Water-resource-cleaning
and
https://www.ucm.es/momat/oil-spills
Epidemiological modelling of human diseases
Goals:
A) Propose mathematical models to study the spread pattern of human diseases, identify risk factors and propose control strategies;
B) Validate those models with data from real epidemics.
C) Deploy softwares used by the scientific community/competent authorities.
Keywords: Human Virus Disease, SARS-CoV-2, COVID-19, Ebola Hemorrhagic Fever, Ordinary Differential Equations, Epidemiological Modeling
URLs: https://www.researchgate.net/project/Epidemiological-modelling-of-human-diseases
and
https://www.ucm.es/momat/epidemics
Epidemiological modelling of livestock diseases
Goals:
A) Propose mathematical models to:
(i) study the spread pattern of livestock diseases;
(ii) estimate the economical impact of the ourbreaks;
(iii) analyze and improve the efficiency of control measures.
B) Validate those models with data from real epidemics.
C) Deploy softwares used by the scientific community/competent authorities.
Keywords: Bluetongue, Classical Swine Fever, Foot and Mouth Disease, Animal Diseases, Differential Equations, Epidemiological Modeling, Mathematical Models, Livestock Economics, Monte Carlo Simulation
URLs: https://www.researchgate.net/project/Epidemiological-modelling-of-livestock-diseases
and
https://www.ucm.es/momat/epidemics
