Vacuum effects over the closing of enterocutaneous fistulae: A mathematical modeling approach
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 articl...
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2008
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00928240_v70_n1_p281_Cattoni http://hdl.handle.net/20.500.12110/paper_00928240_v70_n1_p281_Cattoni |
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paper:paper_00928240_v70_n1_p281_Cattoni2023-06-08T15:08:23Z Vacuum effects over the closing of enterocutaneous fistulae: A mathematical modeling approach 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 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. 2008 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00928240_v70_n1_p281_Cattoni http://hdl.handle.net/20.500.12110/paper_00928240_v70_n1_p281_Cattoni |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
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 |
| spellingShingle |
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 Vacuum effects over the closing of enterocutaneous fistulae: A mathematical modeling approach |
| topic_facet |
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 |
| description |
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. |
| title |
Vacuum effects over the closing of enterocutaneous fistulae: A mathematical modeling approach |
| title_short |
Vacuum effects over the closing of enterocutaneous fistulae: A mathematical modeling approach |
| title_full |
Vacuum effects over the closing of enterocutaneous fistulae: A mathematical modeling approach |
| title_fullStr |
Vacuum effects over the closing of enterocutaneous fistulae: A mathematical modeling approach |
| title_full_unstemmed |
Vacuum effects over the closing of enterocutaneous fistulae: A mathematical modeling approach |
| title_sort |
vacuum effects over the closing of enterocutaneous fistulae: a mathematical modeling approach |
| publishDate |
2008 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00928240_v70_n1_p281_Cattoni http://hdl.handle.net/20.500.12110/paper_00928240_v70_n1_p281_Cattoni |
| _version_ |
1768543172981424128 |