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標(biāo)題: Titlebook: Mathematical Modelling in Biomedicine; Optimal Control of B Y. Cherruault Book 1986 Springer Science+Business Media Dordrecht 1986 calculus [打印本頁(yè)]

作者: 重婚    時(shí)間: 2025-3-21 17:16
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作者: Blemish    時(shí)間: 2025-3-21 20:32

作者: 最低點(diǎn)    時(shí)間: 2025-3-22 03:19
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:
作者: metropolitan    時(shí)間: 2025-3-22 08:15
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.
作者: 無(wú)能力    時(shí)間: 2025-3-22 12:13
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.
作者: Autobiography    時(shí)間: 2025-3-22 15:09
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].
作者: Pituitary-Gland    時(shí)間: 2025-3-22 20:44
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.
作者: 幸福愉悅感    時(shí)間: 2025-3-22 22:15
Mathematics and Its Applicationshttp://image.papertrans.cn/m/image/626393.jpg
作者: cloture    時(shí)間: 2025-3-23 04:22
978-94-010-8924-1Springer Science+Business Media Dordrecht 1986
作者: Acclaim    時(shí)間: 2025-3-23 06:11
https://doi.org/10.1007/978-94-009-5492-2calculus; mechanics; model; modeling; numerical methods; optimization; partial differential equation; progr
作者: 鋪?zhàn)?nbsp;   時(shí)間: 2025-3-23 10:49
Blood Glucose Regulation,cians. Particularly, one hopes to avoid large variations in blood glucose level. Optimization methods may be used to maintain a steady level. We shall begin with experiments on dogs described in [44].
作者: 卡死偷電    時(shí)間: 2025-3-23 17:24
Errors in Modelling,espect to a. and λ.. The following equation is obtained: . Substituting (11.2) for t = t. leads to the linear algebraic system: . where k = 1,.., m, which includes 2n unknowns (the Δλ. and the Δλ.) and m equations.
作者: Canvas    時(shí)間: 2025-3-23 20:06

作者: Ganglion-Cyst    時(shí)間: 2025-3-24 01:55

作者: expeditious    時(shí)間: 2025-3-24 06:23
Relations Between Dose and Effect,cannot be related to the concentration in the blood by a simple model. This happens when sophisticated biochemical transformations arise [35]. In this chapter we shall describe some of the main difficulties.
作者: 挑剔小責(zé)    時(shí)間: 2025-3-24 08:17
Numerical Solution of Integral Equations,e f and K are given. The problem is to determine u(t) numerically such that (8.1) is satisfied. For that we shall use the approximation: . where the functions r. are known and . is a basis in the set of u’s.
作者: mechanism    時(shí)間: 2025-3-24 13:13
Problems Related to Partial Differential Equations,ential equations comes from enzyme biochemistry, where an enzyme E added to a substrate S [48] gives a product in accordance with: . Then the complex ES is decomposed, giving a product P and the enzyme: . The last reaction is irreversible.
作者: placebo    時(shí)間: 2025-3-24 18:20

作者: Badger    時(shí)間: 2025-3-24 21:26

作者: thrombus    時(shí)間: 2025-3-24 23:44
ics of the interviewees. The third section presents the results of mindfulness on a personal level, how the collaborators see it and how they apply it in their day-to-day lives. The fourth section presents the results at the organizational level, according to several dimensions.
作者: 項(xiàng)目    時(shí)間: 2025-3-25 04:19

作者: Urologist    時(shí)間: 2025-3-25 09:00

作者: cardiopulmonary    時(shí)間: 2025-3-25 12:34

作者: 伴隨而來(lái)    時(shí)間: 2025-3-25 17:20

作者: 蛛絲    時(shí)間: 2025-3-25 20:29

作者: OFF    時(shí)間: 2025-3-26 01:44
Y. Cherruaultve case is checked by a finite T (= INFL) functional category; T is able to check ( nominative) case (i.e. it is finite) when it is fully specified for Tense and Agreement. In the most recent minimalist approaches (Chomsky 2000, 2001a, b), nominative case checking is considered to be the by- product
作者: 意見(jiàn)一致    時(shí)間: 2025-3-26 07:10

作者: TIGER    時(shí)間: 2025-3-26 09:43
Y. Cherruaultontrol verbs lack phasal status, or can void phasehood, a proviso that guarantees an active subject goal available to both thematic and non-thematic checking operations with matrix probes. Regarding the second point, I show that dislocation of the subject DP, which may but need not occur, is . incum
作者: bacteria    時(shí)間: 2025-3-26 14:09
Y. Cherruaultve case is checked by a finite T (= INFL) functional category; T is able to check ( nominative) case (i.e. it is finite) when it is fully specified for Tense and Agreement. In the most recent minimalist approaches (Chomsky 2000, 2001a, b), nominative case checking is considered to be the by- product
作者: OREX    時(shí)間: 2025-3-26 17:23

作者: 楓樹(shù)    時(shí)間: 2025-3-26 23:09

作者: 可行    時(shí)間: 2025-3-27 02:55

作者: 上下連貫    時(shí)間: 2025-3-27 09:15

作者: 碎石    時(shí)間: 2025-3-27 12:09

作者: Audiometry    時(shí)間: 2025-3-27 14:08
ve case is checked by a finite T (= INFL) functional category; T is able to check ( nominative) case (i.e. it is finite) when it is fully specified for Tense and Agreement. In the most recent minimalist approaches (Chomsky 2000, 2001a, b), nominative case checking is considered to be the by- product
作者: AGGER    時(shí)間: 2025-3-27 19:46

作者: photopsia    時(shí)間: 2025-3-28 00:57
ivially) 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 a978-94-010-8924-1978-94-009-5492-2
作者: 1分開(kāi)    時(shí)間: 2025-3-28 03:45
Introduction,s are necessary. Biomedical examples showing the usefulness of mathematical and numerical tools will be introduced. Much of the work in biomathematics is published in specialised reviews but books in this area are rather scarce [19], [49]. Of course this science is strongly multidisciplinary. The ma
作者: Fracture    時(shí)間: 2025-3-28 07:35

作者: 我不怕?tīng)奚?nbsp;   時(shí)間: 2025-3-28 11:27
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.
作者: 預(yù)測(cè)    時(shí)間: 2025-3-28 16:28
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.
作者: painkillers    時(shí)間: 2025-3-28 21:43
Relations Between Dose and Effect,ction, especially when there is a direct and linear relation to the concentration in the blood compartment [72]. In many cases the action of the drug cannot be related to the concentration in the blood by a simple model. This happens when sophisticated biochemical transformations arise [35]. In this
作者: 小卒    時(shí)間: 2025-3-28 23:19

作者: Munificent    時(shí)間: 2025-3-29 03:34
Blood Glucose Regulation,ed treatment exists. We do not have the possibility of measuring blood glucose level continuously. Optimal control in real time is therefore impossible. A great deal of experimental data on patients is available and it is easy to improve the medical treatment, based on the experience gained by physi
作者: 單片眼鏡    時(shí)間: 2025-3-29 07:25

作者: 壓碎    時(shí)間: 2025-3-29 12:43
Numerical Solution of Integral Equations, equations in this book. There are many good works on these subjects [1], [69]. Let us consider the following general linear integral equation: . where f and K are given. The problem is to determine u(t) numerically such that (8.1) is satisfied. For that we shall use the approximation: . where the f
作者: 感情脆弱    時(shí)間: 2025-3-29 16:06
Problems Related to Partial Differential Equations,uman organism. Similar models are obtained when considering phenomena based on space and time. For instance, another example leading to partial differential equations comes from enzyme biochemistry, where an enzyme E added to a substrate S [48] gives a product in accordance with: . Then the complex
作者: 填滿    時(shí)間: 2025-3-29 22:16
Optimality in Human Physiology, and chemical study are often insufficient [7] to obtain a mathematically well-defined problem. In general, the uniqueness of solutions is not assured, and so it is necessary to find some other relations or criteria. In practice, an optimality criterion is often chosen. The most intuitive one is to
作者: nuclear-tests    時(shí)間: 2025-3-30 01:42
Errors in Modelling,perimental error Δx(t.) on each measure x(t.) is known. More precisely, it is sufficient to have a bound for this error. It would be interesting to calculate the error on a. and λ. as a function of the error Δx(t.) of the experimental data. To obtain this relation, let us differentiate (11.1) with r
作者: Apraxia    時(shí)間: 2025-3-30 05:54

作者: Terrace    時(shí)間: 2025-3-30 11:16
Y. Cherruaultosed normal subgroups have finite index. Just infinite groups have arisen in a variety of contexts. The abstract just infinite groups having non-trivial abelian normal subgroups are precisely the space groups whose point groups act rationally irreducibly on the abelian normal subgroups (see McCarthy
作者: 抓住他投降    時(shí)間: 2025-3-30 14:23

作者: faultfinder    時(shí)間: 2025-3-30 18:25

作者: inflame    時(shí)間: 2025-3-30 22:47





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