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[Optical tactics of antibacterial therapy for the trigger model of the infection process]
Abstract:
A problem is considered on optimal concentration of an antibacterial drug for the model of illness, in which the illness and health states of the host organism are identified with alternative stationary states of pathogenic microbe population. The total toxic effect of the drug and pathogenic microbes is minimized. The optical tactics is shown to depend first of all on the growth pattern of the drug toxic effect with the increase of its concentration. If the function approximating this relationship is arched upwards (small rise of the toxic effect) the maximal tolerable concentration of the drug is the optimal one. In other cases the "typical" optimal tactics is that under which the concentration of the drug in the beginning of treatment rapidly increases up to the maximal tolerable one, is maintained at this level for some time and then monotonously decreases to the end of treatment for a long time.
Insights
Optimizing antibacterial drug concentration minimizes total toxicity. The best strategy depends on the drug
Area of Science:
- Pharmacology
- Mathematical Biology
- Toxicology
Context:
- Investigates optimal antibacterial drug concentrations for host-pathogen models.
- Considers illness and health states linked to microbial population dynamics.
- Focuses on minimizing the combined toxic effects of the drug and pathogen.
Purpose:
- To determine optimal drug concentration strategies for minimizing total toxicity.
- To analyze how drug toxicity's growth pattern influences optimal treatment tactics.
Summary:
- Identifies optimal antibacterial drug concentration strategies based on toxicity profiles.
- If drug toxicity rises slowly (arched upwards), maximal tolerable concentration is optimal.
- Otherwise, a typical strategy involves rapid increase to maximal tolerable concentration, followed by a sustained period and then a gradual decrease.
Impact:
- Provides a framework for optimizing antibacterial drug dosing to reduce host toxicity.
- Informs clinical strategies for managing drug concentration during treatment.
- Contributes to understanding host-pathogen-drug interactions in silico.