Group Leader: Suárez Fernández, Antonio
Description:
Members:
Clara Grima Ruíz
Francisco Guillén González
Juan Vicente Gutiérrez Santacréu
Mª José Jiménez Rodríguez
Research portfolio: Mathematics of human consciousness: theory, computation and clinical application
A. Dynamical systems
B. Geometrical and topological characterization of attractors of attractors
C. Lotka-Volterra transform
D. Informational structures for brain dynamics
Neuroscience, Psychology, Medical Sciences
Mathematical technology for better understanding of diseases and the control of therapies
A. Partial differential equations
B. Numerical Analysis
C. Dynamical systems
D. Machine learning techniques
E. Complex statistical techniques
Ecology, Medicine, Neuroscience
Mathematical technology for the improvement of healthcare system
A. Partial differential equations
B. Numerical Analysis
C. Dynamical systems
D. Machine learning techniques
E. Complex statistical techniques
Ecology, Medicine, Neuroscience
Long-time behavior of coupled systems with Navier-Stokes
A. Theory of partial differential equations
B. Mathematical modeling through conservation laws
Biology
Bioconvective flows
A. Theory of partial differential equations
Biology
Chemotaxis models and Non-local models applied to Biology
A. Theory of partial differential equations
B. Bifurcation theory
C. Sub-supersolutions methods
D. Semigroup theory
Biology, Medicine
Numerical methods for Biological Models
A. Partial Differential Equations
B. Finite Element Methods
C. Stabilization
D. Discrete Maximum Principle
E. Energy law
Biology, Pharmacy, Medicine
Computational topology and neural networks
A. Computational topology
B. Algebraic topology
C. Machine learning.
D. Deep learning.
E. Topological data analysis
Technology
Topological analysis of biological data
A. Topological data analysis
B. Graph modelling
C. Computational geometry
D. Statistics
Pharmacology, Biomedicine
Theoretical and numerical analysis, and optimal control of biological problems related to the chemotaxis process
A. Theory of partial differential equations
B. Optimal control
C. Numerical approximation using Finite Element Methods
D. Numerical Analysis
Biology, Medicine
Theoretical and numerical analysis, and optimal control of biological problems. Identification of biologiccal parameters and comparision of therapies
A. Theory of partial differential equations
B. Optimal control
C. Numerical approximation using Finite Element Methods (continuous and/or discontinuous)
D. Numerical Analysis
Biology, Medicine
Biological and health systems
A. Theory of Nonlinear Partial Differential Equations
B. Nonlocal Transport terms. Fokker Planck and Porous media equations
C. Solutions arising singularities. Blow-up in finite time
D. Agent Based Models. Mean field equations. Random graphs
E. Statistical Mechanics tools. Boltzmann Equation. Grazing limit.
F. Markov Processes and Hydrodynamic limits
G. Numerical simulations
H. Some nonlocal diffusivities
Biological processes, epidemics , chemotaxis, population dynamics
Modeling and simulation of neuroendocrine processes
A. Theory of Dynamical Systems and bifurcations
B. Mathematical modelling through slow-fast systems
C. Mathematical modelling through non-smooth systems
D. Analysis of complex oscillations and ‘canard’ phenomena
E. Numerical methods for stiff systems.
Biology, Health systems, Engineering
Related projects:
- Deterministic and stochastic dynamics of models from Neuroscience, Epidemiology, Biology and other branches of the Applied Sciences
- PDEs for Biological models with Chemotaxis and Nonlocal effects
- Advances in Computational Topology and Applications
- Computational Algebraic Topology Applied to Computer Vision
- Algebraic Topology for Combinatorial Analysis of Images
Related transfer:
- A dynamical system approach to human consciousness
- Segmentation of images of clinical essays of stem cell colonies by spatial analysis techniques
- Numerical simulation for chemorepulsive and productive models
- Interactions vesicles membranes and liquid crystals
- Opinion formation Models: from individual interactions to the asymptotic behaviour of the whole population
- Some nonlocal diffusivities governing biological processes
- Project for the Valorization of the Crayfish and the Design of Prototypes for the Optimization of its Productive Processes
- Sideview
- Mathematical Modeling of Gonadotropine Neurohormone