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- Title
Predicting the duration of antibacterial treatment with cell wall synthesis inhibitors using mathematical models.
- Authors
Suavansri, Panit; Lursinsap, Chidchanok
- Abstract
Objective: This paper proposed a new mathematical model of within-host population dynamics of bacteria after cell wall synthesis inhibitors administration for practically predicting treatment duration and drug dosage. The aim of this paper is to predict the duration of antibacterial treatment with cell wall synthesis inhibitors using mathematical models. Materials and Methods: Our model deployed various concepts from different fields of probability, biology, physics, chemistry, pharmacology (pharmacokinetics and pharmacodynamics), and medical sciences. The following assumptions and hypotheses were established: (i) Binding or collision rate between drug molecule and bacteria depends on the relative velocity between drug molecule and bacteria, (ii) ability or probability of binding or capturing between drug molecule and bacteria can be evaluated using four probability factors, based on the principal of physics and chemistry, (iii) the number of bacteria dying from antibiotics is equal to the number of drug molecules binding bacteria. Thus, the bacterial death rate is equal to rate of drug molecules binding and killing bacteria (amount of drug molecules per second), and (iv) plasma drug concentration is constant and time-independent. In this paper, Neisseria meningitidis and Pseudomonas aeruginosa are selected to demonstrate the numerical results. Conclusion: In this result, duration of treatment are 2-7 days, which is nearly the same as course of antibacterial therapy.
- Subjects
BACTERIAL cell wall synthesis; ANTIBACTERIAL agents; TREATMENT duration; BACTERIAL population; DRUG dosage; PHARMACOLOGY; PROBABILITY theory; THERAPEUTICS
- Publication
Thai Journal of Pharmaceutical Sciences, 2016, Vol 40, Issue 3, p139
- ISSN
0125-4685
- Publication type
Article