Drug concentration after intravenous administration: A mathematical approach

K. Lakshmi Narayan^a, K. Kondala Rao^a, V. Sivaramakrishna Reddy^b, G. Ranjith Kumar^c, K. Ramesh<sup>c

a</sup> Vidya Jyothi Institute of Technology, Hyderabad, India
^b Data Scientist, Bengaluru, India
^c Anurag University, Hyderabad, India

Abstract: We use a three-compartment model to examine the concentration of moxalactam activity. A set of three non-linear ordinary differential equations characterizes the model. The system of equations is solved using the Laplace transform and the Eigenvalue methods. After $40$ patients with abdominal sepsis received an intravenous dose of moxalactam $2.0$ g, the plasma concentrations were assessed over an $8$-hour period. The method of residuals is used to calculate the transfer coefficients from moxalactam concentrations, and MATLAB is used to plot the variation of moxalactam concentration-time curves. Excretion from the central and tissue compartments is taken into account in this model.

Keywords: moxalactam, intravenous administration, blood plasma, central compartment, tissue compartment, deep-tissue compartment, Laplace transform, eigenvalue.

MSC: 34-06

Received: 27.01.2025
Revised: 27.01.2025

DOI: 10.4213/tmf10902

 English version: Theoretical and Mathematical Physics, 2025, 223:3, 935–943

Bibliographic databases:

• 
•