静脉给药后药物浓度：一种数学方法

IF 1.1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Theoretical and Mathematical Physics Pub Date : 2025-06-25 DOI:10.1134/S0040577925060066

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

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引用次数: 0

摘要

我们使用三室模型来检查莫拉西坦活性的浓度。该模型由三个非线性常微分方程组成。用拉普拉斯变换和特征值法对方程组进行了求解。\(40\)腹腔脓毒症患者接受静脉注射莫alactam \(2.0\) g后，在\(8\)小时内评估血浆浓度。采用残差法计算莫西甲酰胺浓度传递系数，利用MATLAB绘制莫西甲酰胺浓度-时间变化曲线。该模型考虑了中央和组织室的排泄。

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Drug concentration after intravenous administration: A mathematical approach

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.

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来源期刊

Theoretical and Mathematical Physics 物理-物理：数学物理

CiteScore

1.60

自引率

20.00%

发文量

103

审稿时长

4-8 weeks

期刊介绍： Theoretical and Mathematical Physics covers quantum field theory and theory of elementary particles, fundamental problems of nuclear physics, many-body problems and statistical physics, nonrelativistic quantum mechanics, and basic problems of gravitation theory. Articles report on current developments in theoretical physics as well as related mathematical problems. Theoretical and Mathematical Physics is published in collaboration with the Steklov Mathematical Institute of the Russian Academy of Sciences.