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- M. A. Castro, Francisco Rodríguez-Mateos, J. Cabrera, J. A. Martín
- Int. J. Comput. Math.
- 2014

Non-Fourier models of heat conduction have been increasingly considered in the last years in the modeling of microscale heat transfer in engineering and biomedical problems. Models that incorporate time lags in the heat flux and/or the temperature gradient result in heat conduction modeling equations in the form of partial differential equations with delay,… (More)

- J. Escolano, Francisco Rodríguez-Mateos, M. A. Castro, F. Vives, J. A. Martín
- Mathematical and Computer Modelling
- 2011

Lagging models of heat conduction, such as the Dual-Phase-Lag or the Single-Phase-Lag models, lead to heat conduction equations in the form of partial differential equations with delays or to partial differential equations of hyperbolic type, and have been considered to model microscale heat transfer in engineering problems or bio-heat transfer in medical… (More)

- J. Cabrera, M. A. Castro, Francisco Rodríguez-Mateos, J. A. Martín
- Mathematical and Computer Modelling
- 2013

Different non-Fourier models of heat conduction have recently been considered in the modeling of microscale heat transfer in engineering and biomedical heat transfer problems. The dual-phase-lagging model, incorporating time lags in the heat flux and the temperature gradient, and some of its particular cases and approximations, result in heat conduction… (More)

- GENÉTICO DISTRIBUIDO, BASADO EN PERIODO, MIGRATORIO DINÁMICO, M. A. Castro, Francisco Herrera
- 2015

This paper presents a distributed genetic algorithm with dynamic determination of the migration period. The algorithm is especially well suited for the on line estimation of a fuzzy identification system parameters, using heterogeneous clusters. The results of the optimization of a TSK (Takagi-Sugeno-Kang) system for the identification of a biotechnological… (More)

- M. A. Castro, Francisco Rodríguez-Mateos, J. Cabrera, J. A. Martín
- J. Computational Applied Mathematics
- 2016

- M. A. Castro
- 2007

A type of distributed genetic algorithm (DGA), with dynamic determination of the migration period is proposed. The algorithm is especially well suited for the parametric optimization of fuzzy identification systems and its implementation on heterogeneous clusters. The results of the parametric optimization of a Takagi-Sugeno-Kang (TSK) identification system… (More)

- M. A. Castro, José M. Miguel del Corral, Marina Gordaliza, María Antonia Gómez-Zurita, Patricia Alvarez Garcia, Arturo San Feliciano
- Phytochemistry Reviews
- 2004

Lignans are widely distributed in the plant kingdom, and display a variety of biological activities which have attracted the attention of the scientific community for decades. Several representative compounds of the cyclolignan class, such as podophyllotoxin and its semisynthetic derivative, etoposide, are currently used for the clinical treatment of warts… (More)

- P. García, M. A. Castro, J. A. Martín, A. Sirvent
- Mathematical and Computer Modelling
- 2009

- P. García, M. A. Castro, J. A. Martín, A. Sirvent
- Mathematical and Computer Modelling
- 2010

Diffusion equations with delay are basic mathematical models in areas where time lags or hereditary characteristics are present, as in the dynamics of structured populations, heat transfer in materials with thermal memory or control theory. In this work two implicit numerical difference schemes for the diffusion equations with delay ut(t, x) = a uxx(t, x) +… (More)

and Applied Analysis 3