多室模型正反问题的拉普拉斯变换方法

IF 2.3 4区数学 Q1 MATHEMATICS, APPLIED

European Journal of Applied Mathematics Pub Date : 2022-03-16 DOI:10.1017/s0956792522000055

M. Rodrigo

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引用次数: 1

摘要

考虑由线性常微分方程组描述的多室模型。链链模型是一个特殊的类别，其中的隔室被安排在一个链。采用基于拉普拉斯变换的统一方法求解多室模型的正逆问题。用初等对称多项式的根给出了链链线模型参数的显式表达式。给出了一种一般多室模型的参数估计方法。数值模拟结果表明了该方法的有效性。

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A Laplace transform approach to direct and inverse problems for multi-compartment models

Multi-compartment models described by systems of linear ordinary differential equations are considered. Catenary models are a particular class where the compartments are arranged in a chain. A unified methodology based on the Laplace transform is utilised to solve direct and inverse problems for multi-compartment models. Explicit formulas for the parameters in a catenary model are obtained in terms of the roots of elementary symmetric polynomials. A method to estimate parameters for a general multi-compartment model is also provided. Results of numerical simulations are presented to illustrate the effectiveness of the approach.

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来源期刊

European Journal of Applied Mathematics 数学-应用数学

CiteScore

4.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Since 2008 EJAM surveys have been expanded to cover Applied and Industrial Mathematics. Coverage of the journal has been strengthened in probabilistic applications, while still focusing on those areas of applied mathematics inspired by real-world applications, and at the same time fostering the development of theoretical methods with a broad range of applicability. Survey papers contain reviews of emerging areas of mathematics, either in core areas or with relevance to users in industry and other disciplines. Research papers may be in any area of applied mathematics, with special emphasis on new mathematical ideas, relevant to modelling and analysis in modern science and technology, and the development of interesting mathematical methods of wide applicability.