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Titlebook: Mathematical Modelling in Biomedicine; Optimal Control of B Y. Cherruault Book 1986 Springer Science+Business Media Dordrecht 1986 calculus

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发表于 2025-3-21 17:16:05 | 显示全部楼层 |阅读模式
书目名称Mathematical Modelling in Biomedicine
副标题Optimal Control of B
编辑Y. Cherruault
视频video
丛书名称Mathematics and Its Applications
图书封面Titlebook: Mathematical Modelling in Biomedicine; Optimal Control of B Y. Cherruault Book 1986 Springer Science+Business Media Dordrecht 1986 calculus
描述Approach your problems from the right It isn‘t that they can‘t see the solution. It end and begin with the answers. Then is that they can‘t see the problem. one day, perhaps you will find the final question. G.K. Chesterton. The Scandal of Father Brown ‘The point of a Pin‘. ‘The Hermit Clad in Crane Feathers‘ in R. van Gulik‘s The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, cod­ ing theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical pro­ gramming profit from homotopy theory; Lie algebras a
出版日期Book 1986
关键词calculus; mechanics; model; modeling; numerical methods; optimization; partial differential equation; progr
版次1
doihttps://doi.org/10.1007/978-94-009-5492-2
isbn_softcover978-94-010-8924-1
isbn_ebook978-94-009-5492-2
copyrightSpringer Science+Business Media Dordrecht 1986
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General Remarks on Modelling,n experimental data to be taken into account. A model must involve:.In the following we shall see how to distinguish between the state variables (describing the system evolution) and the control variables (acting on the system). Models are of two main types:
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Identification and Control in Linear Compartmental Analysis,e compartmental models are very useful for studying drug kinetics in human or animal organisms. For example, compartmental models such as the following are relevant to beta-blockers, which are drugs that act on the blood pressure and heart rate.
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Optimal Control in Compartmental Analysis, t = 0 plays the role of an action variable. For simplicity the mathematical and numerical methods will be developed on a two-compartment system, but the extension to n compartments may be done without difficulty.
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General Modelling in Medicine, studying hormonal systems which are fundamental in human and animal physiology. They maintain many physiological regulations and a malfunction is catastrophic for an organism. In this chapter, we shall present a system first developed by B. Weil [74], and completed by A. Guillez [58] and P. Nelson [53].
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Integral Equations in Biomedicine, compartment was given by an integral equation (linear) of the convolution type. This linear integral equation may be written as follows: . K. is the kernel [69] and is calculable from the exchange parameters k.. The function u(t) is the input variable and, in our studies, is also the control variable.
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Mathematics and Its Applicationshttp://image.papertrans.cn/m/image/626393.jpg
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978-94-010-8924-1Springer Science+Business Media Dordrecht 1986
发表于 2025-3-23 06:11:12 | 显示全部楼层
https://doi.org/10.1007/978-94-009-5492-2calculus; mechanics; model; modeling; numerical methods; optimization; partial differential equation; progr
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