Bifurcation analysis of a periodically forced relaxation oscillator: Differential model versus phase-resetting map

in Physical Review. E : Statistical, Nonlinear, and Soft Matter Physics (2009), 79(1),

Model-based identification and diagnosis of a porcine model of induced endotoxic shock with hemofiltration

in Mathematical Biosciences (2008), 216(2), 132-139

Second sound and shock waves in rigid crystals: an extended thermodynamic analysis

in Proceedings of CHT-08 ICHMT International Symposium on Advances in Computational Heat Transfer (2008)

Improving model-based cardiac diagnosis with an ECG

in Proceedings (CD) of the 4th European Congress for Medical and Biomedical Engineering (eMBEC 2008), Antwerp, Belgium, Nov 23-27, 2008 (2008)

Study of ventricular interaction during pulmonary embolism using clinical identification in a minimum cardiovascular system model.

in Proceedings of the IEEE (2007)

Cardiovascular disturbances are difficult to diagnose and treat because of the large range of possible underlying dysfunctions combined with regulatory reflex mechanisms that can result in conflicting ... [more ▼]

Cardiovascular disturbances are difficult to diagnose and treat because of the large range of possible underlying dysfunctions combined with regulatory reflex mechanisms that can result in conflicting clinical data. Thus, medical professionals often rely on experience and intuition to optimize hemodynamics in the critically ill. This paper combines an existing minimal cardiovascular system model with an extended integral based parameter identification method to track the evolution of induced pulmonary embolism in porcine data. The model accounts for ventricular interaction dynamics and is shown to predict an increase in the right ventricle expansion index and a decrease in septum volume consistent with known physiological response to pulmonary embolism. The full range of hemodynamic responses was captured with mean prediction errors of 4.1% in the pressures and 3.1% in the volumes for 6 sets of clinical data. Pulmonary resistance increased significantly with the onset of embolism in all cases, as expected, with the percentage increase ranging from 89.98% to 261.44% of the initial state. These results are an important first step towards model-based cardiac diagnosis in the Intensive Care Unit. [less ▲]

Continuation and bifurcation analysis of a periodically forced excitable system

in Journal of Theoretical Biology (2007), 246(3), 430-448

Mécanique des fluides

Learning material (2007)

A unified extended thermodynamic description of diffusion, thermo-diffusion, suspensions, and porous media

in Journal of Applied Mechanics-Transactions of the Asme (2006), 73(1), 16-20

It is shown that extended irreversible thermodynamics (EIT) provides a Unified description of a great variety of processes, including matter diffusion, thermo-diffusion, suspensions, and fluid flows in ... [more ▼]

It is shown that extended irreversible thermodynamics (EIT) provides a Unified description of a great variety of processes, including matter diffusion, thermo-diffusion, suspensions, and fluid flows in porous media. This is achieved by enlarging the set of classical variables, as mass, momentum and temperature by the corresponding fluxes of mass, momentum and heat. For simplicity, we consider only Newtonian fluids and restrict ourselves to a linear analysis: quadratic and higher order terms in the fluxes are neglected. In the case of diffusion in a binary mixture, the extra flux variable is the diffusion flux of one the constituents, say the solute. In thermo-diffusion, one adds the heat flux to the set of variables. The main result of the present approach is that the traditional equations of Fick, Fourier Soret, and Dufour are replaced by time-evolution equations for the matter and heat fluxes, such generalizations are useful in high-frequency processes. It is also shown that the analysis can be easily extended to the study of particle suspensions in fluids and to flows in porous media, when such systems can be viewed as binary mixtures with a solid and a fluid component. [less ▲]

Two-fluid diffusion as a model for heat transport at micro and nanoscales

in IMT7 (2006)

Physical mechanism of standing waves in cardiac electrical activity.

in SIAM conference on nonlinear waves and coherent structures (2006)