IFLYSIB   05383
INSTITUTO DE FISICA DE LIQUIDOS Y SISTEMAS BIOLOGICOS
Unidad Ejecutora - UE
artículos
Título:
Vacuum effects over the closing of enterocutaneous fistulae: A mathematical modeling approach
Autor/es:
CATTONI DIEGO; CHARA OSVALDO
Revista:
BULLETIN OF MATHEMATICAL BIOLOGY
Editorial:
Springer
Referencias:
Lugar: New York; Año: 2008 vol. 70 p. 281 - 296
ISSN:
0092-8240
Resumen:
Enterocutaneous fistulae are pathological communications between the intestinal
lumen and the abdominal skin. Under surgery the mortality of this pathology is very
high, therefore a vacuum applying system has been carried previously on attempting to
close these fistulae. The objective of this article is the understanding of how these treatments
might work through deterministic mathematical modelling. Four models are here
proposed based on several assumptions involving: the conservation of the flow in the fistula,
a low enough Reynolds number justifying a laminar flow, the use of Poiseuille law
to model the movement of the fistulous liquid, as well as phenomenological equations including
the fistula tissue and intermediate chamber compressibility. Interestingly, the four
models show fistulae closing behaviour during experimental time (t < 60 sec). To compare
the models, both, simulations and pressure measurements, carried out on the vacuum
connected to the patients, are performed. Time course of pressure are then simulated (from
each model) and fitted to the experimental data. The model which best describes actual
measurements shows exponential pumping flux kinetics. Applying this model, numerical
relationship between the fistula compressibility and closure time is presented. The models
here developed would contribute to clarify the treatment mechanism and, eventually,
improve the fistulae treatment.t < 60 sec). To compare
the models, both, simulations and pressure measurements, carried out on the vacuum
connected to the patients, are performed. Time course of pressure are then simulated (from
each model) and fitted to the experimental data. The model which best describes actual
measurements shows exponential pumping flux kinetics. Applying this model, numerical
relationship between the fistula compressibility and closure time is presented. The models
here developed would contribute to clarify the treatment mechanism and, eventually,
improve the fistulae treatment.