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Abstract <p> 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 <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11232_2025_2641_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="18" /> </InlineMediaObject> <EquationSource Format="TEX">\(40\)</EquationSource> </InlineEquation> patients with abdominal sepsis received an intravenous dose of moxalactam <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11232_2025_2641_Article_IEq2.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="22" /> </InlineMediaObject> <EquationSource Format="TEX">\(2.0\)</EquationSource> </InlineEquation>g, the plasma concentrations were assessed over an <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11232_2025_2641_Article_IEq3.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="10" /> </InlineMediaObject> <EquationSource Format="TEX">\(8\)</EquationSource> </InlineEquation>-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. </p>

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Drug concentration after intravenous administration: A mathematical approach

  • 期刊论文

  • 发表日期：

    2025年6月25日

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  • K. Lakshmi Narayan,
  • K. Kondala Rao,
  • V. Sivaramakrishna Reddy,
  • G. Ranjith Kumar,
  • K. Ramesh

摘要

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.