A mathematical model for antibiotic control of bacteria in peritoneal dialysis associated peritonitis
A study of the process of pharmacokinetics-pharmacodynamics (PKPD) of antibiotics and their interaction with bacteria during peritoneal dialysis associated peritonitis (PDAP) is presented. We propose a mathematical model describing the evolution of bacteria population in the presence of antibiotics...
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| Format: | Article |
| Language: | English |
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AIMS Press
2014-08-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.1449 |
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| _version_ | 1832590147800006656 |
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| author | Colette Calmelet John Hotchkiss Philip Crooke |
| author_facet | Colette Calmelet John Hotchkiss Philip Crooke |
| author_sort | Colette Calmelet |
| collection | DOAJ |
| description | A study of the process of pharmacokinetics-pharmacodynamics (PKPD) of antibiotics and their interaction with bacteria during peritoneal dialysis associated peritonitis (PDAP) is presented. We propose a mathematical model describing the evolution of bacteria population in the presence of antibiotics for different peritoneal dialysis regimens. Using the model along with experimental data, clinical parameters, and physiological values, we compute variations in PD fluid distributions, drug concentrations, and number of bacteria in peritoneal and extra-peritoneal cavities. Scheduling algorithms for the PD exchanges that minimize bacteria count are investigated. |
| format | Article |
| id | doaj-art-c53c5c8a130d4c5d968eb2add01f5202 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2014-08-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-c53c5c8a130d4c5d968eb2add01f52022025-01-24T02:29:01ZengAIMS PressMathematical Biosciences and Engineering1551-00182014-08-011161449146410.3934/mbe.2014.11.1449A mathematical model for antibiotic control of bacteria in peritoneal dialysis associated peritonitisColette Calmelet0John Hotchkiss1Philip Crooke2Department of Mathematics and Statistics, California State University, Holt Hall 181, Chico, CA 95929Departments of Critical Care Medicine and Medicine, University of Pittsburgh and Pittsburgh Veterans Affairs Healthcare System, 644A Scaife Hall, 3550 Terrace Street, Pittsburgh, PA, 15261Departments of Critical Care Medicine and Medicine, University of Pittsburgh Pittsburgh Veterans Affairs Healthcare System, 644A Scaife Hall, 3550 Terrace Street, Pittsburgh, PA, 15261A study of the process of pharmacokinetics-pharmacodynamics (PKPD) of antibiotics and their interaction with bacteria during peritoneal dialysis associated peritonitis (PDAP) is presented. We propose a mathematical model describing the evolution of bacteria population in the presence of antibiotics for different peritoneal dialysis regimens. Using the model along with experimental data, clinical parameters, and physiological values, we compute variations in PD fluid distributions, drug concentrations, and number of bacteria in peritoneal and extra-peritoneal cavities. Scheduling algorithms for the PD exchanges that minimize bacteria count are investigated.https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.1449pkpdantibioticsperitoneal dialysisbacteriapd fluiddialysatecapdperitonitispharmacodynamicsapdexchange.pharmacokinetics |
| spellingShingle | Colette Calmelet John Hotchkiss Philip Crooke A mathematical model for antibiotic control of bacteria in peritoneal dialysis associated peritonitis Mathematical Biosciences and Engineering pkpd antibiotics peritoneal dialysis bacteria pd fluid dialysate capd peritonitis pharmacodynamics apd exchange. pharmacokinetics |
| title | A mathematical model for antibiotic control of bacteria in peritoneal dialysis associated peritonitis |
| title_full | A mathematical model for antibiotic control of bacteria in peritoneal dialysis associated peritonitis |
| title_fullStr | A mathematical model for antibiotic control of bacteria in peritoneal dialysis associated peritonitis |
| title_full_unstemmed | A mathematical model for antibiotic control of bacteria in peritoneal dialysis associated peritonitis |
| title_short | A mathematical model for antibiotic control of bacteria in peritoneal dialysis associated peritonitis |
| title_sort | mathematical model for antibiotic control of bacteria in peritoneal dialysis associated peritonitis |
| topic | pkpd antibiotics peritoneal dialysis bacteria pd fluid dialysate capd peritonitis pharmacodynamics apd exchange. pharmacokinetics |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.1449 |
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