Mathematical Biosciences and Engineering, 2014, 11(6): 1449-1464. doi: 10.3934/mbe.2014.11.1449.

Primary: 92C35, 92C45, 92C50, 92C60; Secondary: 92B05, 92C05.

Export file:

Format

  • RIS(for EndNote,Reference Manager,ProCite)
  • BibTex
  • Text

Content

  • Citation Only
  • Citation and Abstract

A mathematical model for antibiotic control of bacteria in peritoneal dialysis associated peritonitis

1. Department of Mathematics and Statistics, California State University, Holt Hall 181, Chico, CA 95929
2. Departments of Critical Care Medicine and Medicine, University of Pittsburgh and Pittsburgh Veterans Affairs Healthcare System, 644A Scaife Hall, 3550 Terrace Street, Pittsburgh, PA, 15261
3. Departments of Critical Care Medicine and Medicine, University of Pittsburgh Pittsburgh Veterans Affairs Healthcare System, 644A Scaife Hall, 3550 Terrace Street, Pittsburgh, PA, 15261

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.
  Figure/Table
  Supplementary
  Article Metrics

Keywords PKPD; antibiotics; Peritoneal dialysis; bacteria; PD fluid; dialysate; CAPD; peritonitis; pharmacodynamics; APD; exchange.; pharmacokinetics

Citation: Colette Calmelet, John Hotchkiss, Philip Crooke. A mathematical model for antibiotic control of bacteria in peritoneal dialysis associated peritonitis. Mathematical Biosciences and Engineering, 2014, 11(6): 1449-1464. doi: 10.3934/mbe.2014.11.1449

References

  • 1. Clin. Drug. Invest., 11 (1996), 229-239.
  • 2. Clin. Infect. Dis., 15 (2002), 1212-1218.
  • 3. Lippincott Williams & Wilkins, 2011.
  • 4. Antimicrobial Agents Chemotherapy, 47 (2003), 3764-3767.
  • 5. Adv. Exp. Med. Biol., 696 (2011), 401-410.
  • 6. ASAIO Journal, (2004), 568-576.
  • 7. Peritoneal Dialysis International, 22 (2002), 339-344.
  • 8. in The Textbook of Peritoneal Dialysis, Kluwer Academic Publishers, 1994, 135-160.
  • 9. Peritoneal Dialysis International, 11 (1991), 252-260.
  • 10. Pharmacol. Rev., 65 (2013), 1053-1090.
  • 11. Antimicrob. Agents & Chemo., 48 (2004), 3670-3676.
  • 12. Lippincott Williams & Wilkins, 2006.
  • 13. J. Pharm. Sci., 75 (1986), 1063-1067.

 

Reader Comments

your name: *   your email: *  

Copyright Info: 2014, Colette Calmelet, et al., licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution Licese (http://creativecommons.org/licenses/by/4.0)

Download full text in PDF

Export Citation

Copyright © AIMS Press All Rights Reserved