Departament de Tecnologies de la Informació i les Comunicacionshttp://hdl.handle.net/10230/59222024-05-21T17:45:58Z2024-05-21T17:45:58ZVirtual exploration of early stage atherosclerosisOlivares, Andy L.González Ballester, Miguel Ángel, 1973-Noailly, Jérômehttp://hdl.handle.net/10230/601932024-05-21T09:41:50Z2016-01-01T00:00:00ZVirtual exploration of early stage atherosclerosis
Olivares, Andy L.; González Ballester, Miguel Ángel, 1973-; Noailly, Jérôme
Motivation: Biological mechanisms contributing to atherogenesis are multiple and complex. The early stage of atherosclerosis (AS) is characterized by the accumulation of low-density lipoprotein (LDL) droplets, leading to the creation of foam cells (FC). To address the difficulty to explore the dynamics of interactions that controls this process, this study aimed to develop a model of agents and infer on the most influential cell- and molecule-related parameters. Results: FC started to accumulate after six to eight months of simulated hypercholesterolemia. A sensitivity analysis revealed the strong influence of LDL oxidation rate on the risk of FC creation, which was exploited to model the antioxidant effect of statins. Combined with an empirical simulation of the drug ability to decrease the level of LDL, the virtual statins treatment led to reductions of oxidized LDL levels similar to reductions measured in vivo. Availability and Implementation: An Open source software was used to develop the agent-based model of early AS. Two different concentrations of LDL agents were imposed in the intima layer to simulate healthy and hypercholesterolemia groups of ‘virtual patients’. The interactions programmed between molecules and cells were based on experiments and models reported in the literature. A factorial sensitivity analysis explored the respective effects of the less documented model parameters as (i) agent migration speed, (ii) LDL oxidation rate and (iii) concentration of autoantibody agents. Finally, the response of the model to known perturbations was assessed by introducing statins agents, able to reduce the oxidation rate of LDL agents and the LDL boundary concentrations.
2016-01-01T00:00:00ZThe synchronizing power of the external environment on chimera states networksEpifanio, JacopoAndrzejak, Ralph Gregorhttp://hdl.handle.net/10230/600922024-05-10T01:30:41Z2024-05-09T00:00:00ZThe synchronizing power of the external environment on chimera states networks
Epifanio, Jacopo; Andrzejak, Ralph Gregor
Pòster presentat a: XLIII Dynamics Days Europe, celebrat del 3 a 8 de setembre a Nàpols, Itàlia.
2024-05-09T00:00:00ZThe entrainment power of the external environment on chimera states: a computational stochastic modelEpifanio, JacopoAndrzejak, Ralph Gregorhttp://hdl.handle.net/10230/600912024-05-10T01:30:36Z2024-05-09T00:00:00ZThe entrainment power of the external environment on chimera states: a computational stochastic model
Epifanio, Jacopo; Andrzejak, Ralph Gregor
Pòster presentat a: Computational and Systems Neuroscience (COSYNE) 2024, celebrat del 29 de febrer a 3 de març a Lisboa, Portugal.
2024-05-09T00:00:00ZFractional Newton-Raphson methodTorres Hernandez, AnthonyBrambila Paz, Fernandohttp://hdl.handle.net/10230/599582024-05-01T01:30:48Z2021-01-01T00:00:00ZFractional Newton-Raphson method
Torres Hernandez, Anthony; Brambila Paz, Fernando
The Newton-Raphson (N-R) method is useful to find the roots of a polynomial of degree n, with n ∈ N. However, this method is limited since it diverges for the case in which polynomials only have complex roots if a real
initial condition is taken. In the present work, we explain an iterative method that is created using the fractional
calculus, which we will call the Fractional Newton-Raphson (F N-R) Method, which has the ability to enter the
space of complex numbers given a real initial condition, which allows us to find both the real and complex roots
of a polynomial unlike the classical Newton-Raphson method.
2021-01-01T00:00:00Z