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Biomedical subjects

L Gabet

Publications and source records attributed to L Gabet.

3 recordsLinked to original sources

Theoretical and experimental study of intermittent blood flows in microcirculation: application to the in-vivo determination of compliance.

A new theoretical approach was used to study the nonlinear response of a microvascular segment subjected to a pressure step at one end. The method is suitable for both large and small deformations of the vessel wall in the case of an elastic response of the segment. It is shown that the use of this simulation permits an indirect determination of the compliance of the vessel. The procedure is applied in two cases of major interest: first the in-vivo study of the intermittent blood flow in the microcirculation, and second, the analysis of experiments using micropipettes. The resulting values of the compliance agree with other values found in the previous studies. The theoretical method is particularly adapted to nonlinear equations.

Animals↗

Capillary net and injection modeling.

A former work proved that the physiological Krogh model is valid and can be used as a tool by physicians and biologists in order to simulate drug injections. Here, after a short critical review, a more complete model describing the capillary net is established. A numerical method which can be used to solve the associate mathematical model is explained. Then, the results are discussed and used to explain why the Krogh model is valid despite its simplifying hypotheses. Diffusion and permeability coefficients are also estimated.

Algorithms↗

Evolution of the concentration field of an antibiotic during an injection.

A complete mathematical model is presented which describes a substrate injection into a capillary and its diffusion in tissues. Numerical methods are implemented and compared, simplification is discussed and the results' behaviour is studied. A new experimental technique yields curves which are compared to the numerical solutions of the model and used for estimating diffusion and permeability coefficients. Furthermore it is proved that the physiological Krogh model is valid and can be used as a tool by physicians and biologists.

Anti-Bacterial Agents↗