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Abstract:

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. © 2007 Society for Mathematical Biology.

Registro:

Documento: Artículo
Título:Vacuum effects over the closing of enterocutaneous fistulae: A mathematical modeling approach
Autor:Cattoni, D.I.; Chara, O.
Filiación:Cátedra de Física, Departamento de Fisicomatemática, UBA, Buenos Aires, Argentina
Instituto de Química Y Fisicoquímica Biológica, Facultad de Farmacia Y Bioquímica, UBA, Buenos Aires, Argentina
Instituto de Física de Líquidos Y Sistemas Biológicos (IFLYSIB), La Plata, Argentina
Departamento de Fisiología Y Biofísica, Facultad de Medicina, UBA, Buenos Aires, Argentina
Palabras clave:Compressibility; Elastic modulus; Fistula; Low pressure; Mathematical model; Simulation; article; biological model; computer simulation; human; intestine fistula; vacuum; Computer Simulation; Humans; Intestinal Fistula; Models, Biological; Vacuum; Fistula
Año:2008
Volumen:70
Número:1
Página de inicio:281
Página de fin:296
DOI: http://dx.doi.org/10.1007/s11538-007-9258-1
Título revista:Bulletin of Mathematical Biology
Título revista abreviado:Bull. Math. Biol.
ISSN:00928240
CODEN:BMTBA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00928240_v70_n1_p281_Cattoni

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Citas:

---------- APA ----------
Cattoni, D.I. & Chara, O. (2008) . Vacuum effects over the closing of enterocutaneous fistulae: A mathematical modeling approach. Bulletin of Mathematical Biology, 70(1), 281-296.
http://dx.doi.org/10.1007/s11538-007-9258-1
---------- CHICAGO ----------
Cattoni, D.I., Chara, O. "Vacuum effects over the closing of enterocutaneous fistulae: A mathematical modeling approach" . Bulletin of Mathematical Biology 70, no. 1 (2008) : 281-296.
http://dx.doi.org/10.1007/s11538-007-9258-1
---------- MLA ----------
Cattoni, D.I., Chara, O. "Vacuum effects over the closing of enterocutaneous fistulae: A mathematical modeling approach" . Bulletin of Mathematical Biology, vol. 70, no. 1, 2008, pp. 281-296.
http://dx.doi.org/10.1007/s11538-007-9258-1
---------- VANCOUVER ----------
Cattoni, D.I., Chara, O. Vacuum effects over the closing of enterocutaneous fistulae: A mathematical modeling approach. Bull. Math. Biol. 2008;70(1):281-296.
http://dx.doi.org/10.1007/s11538-007-9258-1