Application of Geometric Explicit Runge-Kutta Methods to Pharmacokinetic Models

机译：几何显式Runge-Kutta方法在药代动力学模型中的应用

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In an earlier work, the authors proposed a class of geometric explicit Runge- Kutta methods for solving one-dimensional first order Initial Value Problems (IVPs). In this work, some members of this class of schemes which were found to be more accurate are applied to systems of first order ordinary differential equations (ODEs). We present the development of these selected schemes and also study their basic properties vis-a-vis systems of ODEs. We then apply this approach to solve some mathematical models arising in Pharmacokinetics.

机译：在较早的工作中，作者提出了一类几何显式的Runge-Kutta方法，用于解决一维一阶初值问题（IVP）。在这项工作中，这类方案的某些成员被发现更为精确，这些成员被应用于一阶常微分方程（ODE）系统。我们介绍了这些选定方案的发展，还研究了它们相对于ODE系统的基本特性。然后，我们采用这种方法来解决药代动力学中出现的一些数学模型。

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《Modeling and simulation in engineering, economics, and management》|2012年|p.259-269|共11页
会议地点 New Rochelle NY(US);New Rochelle NY(US)
作者
Moses A. Akanbi; Kailash C. Patidar;
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作者单位

Department of Mathematics, Lagos State University, P.M.B. 0001 LASU Post Office Lagos, Nigeria;

Department of Mathematics Applied Mathematics, University of the Western Cape Private Bag X17, Bellville 7535, Cape Town, South Africa;

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原文格式 PDF
正文语种 eng
中图分类电子贸易、网上贸易;
关键词
pharmacokinetic model; geometric mean; explicit rung-kutta method; stability; convergence; absolute stability; initial value problems;

机译：药代动力学模型几何平均数;显式的runge-kutta方法；稳定性;收敛;绝对稳定初始值问题;

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Application of Geometric Explicit Runge-Kutta Methods to Pharmacokinetic Models

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