Relevant bibliographies by topics / Dynamical filtrations

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
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Academic literature on the topic 'Dynamical filtrations'

Author: Grafiati
Published: 14 December 2024

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Journal articles on the topic "Dynamical filtrations"

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Bartłomiejczyk, P., and Z. Dzedzej. "Index filtrations and Morse decompositions for discrete dynamical systems." Annales Polonici Mathematici 72, no. 1 (1999): 51–70. http://dx.doi.org/10.4064/ap-72-1-51-70.

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Gordin, M. I. "Double extensions of dynamical systems and constructing mixing filtrations." Journal of Mathematical Sciences 99, no. 2 (April 2000): 1053–60. http://dx.doi.org/10.1007/bf02673626.

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Jiao, Rui, Wei Liu, and Yijun Hu. "The Optimal Consumption, Investment and Life Insurance for Wage Earners under Inside Information and Inflation." Mathematics 11, no. 15 (August 5, 2023): 3415. http://dx.doi.org/10.3390/math11153415.

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This paper studies the dynamically optimal consumption, investment and life-insurance strategies for a wage earners under inside information and inflation. Assume that the wage earner can invest in a risk-free asset, a risky asset and an inflation-indexed bond and that the wage earner can obtain some additional information on the risky asset from the financial market. By maximizing the expected utility of the wage earner’s consumption, inheritance and terminal wealth, we obtain the dynamically optimal consumption, investment and life-insurance strategies for the wage earner. The method of this paper is mainly based on (dynamical) stochastic control theory and the technique of enlargement of filtrations. Moreover, sensitivity analysis is carried out, which reveals that a wage earner with inside information tends to increase his/her consumption and investment, while reducing his/her purchase of life insurance.
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KCHIA, YOUNES, and PHILIP PROTTER. "PROGRESSIVE FILTRATION EXPANSIONS VIA A PROCESS, WITH APPLICATIONS TO INSIDER TRADING." International Journal of Theoretical and Applied Finance 18, no. 04 (June 2015): 1550027. http://dx.doi.org/10.1142/s0219024915500272.

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The development of the theory of the expansion of filtrations took place mostly three decades ago, in the 1980s. Researchers developed two types of expansions: Initial expansions, where one adds information to the σ algebra ℱ0, and progressive expansions, where information is added dynamically to turn a positive random variable (such as a last exit time) into a stopping time. The goal was to preserve the semimartingale property in the enlarged filtration. In this paper, we propose a new type of expansion, that of expansion with a stochastic process. This has antecedents in the work of Jeulin, Kohatsu-Higa, and a few others, but the theoretical and systematic approach given here is new. We begin by showing one can enlarge a filtration with a point process rather easily, and that semimartingales remain semimartingales under the expansions, if done correctly. Since one can approximate most stochastic processes with marked point processes, we then prove convergence theorems of the sequence of point processes together with their corresponding enlarged filtrations. To do this, we rely on a theory of the convergence of filtrations. We next need to give conditions such that semimartingales remain semimartingales in the limit. This is delicate, and we obtain partial results, but they are sufficient for our needs; this involves a kind of continual initial expansion procedure. One drawback of this procedure is that we do not always obtain the semimartingale decompositions for the enlarged filtrations of the limiting case, except in a class of examples that are in a Brownian motion paradigm. Recently, there have been attempts to model mathematically insider trading via a theory of enlarged filtrations. There are many technical issues involved, and creating a model with the presence of arbitrage is a constant problem, a situation one wishes to avoid. We show how one can use this procedure to create models of insider trading that do not have arbitrage opportunities, but under which the risk neutral measure for the insider is different than is the risk neutral measure for the rest of the market.
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Atamanyuk, Volodymyr, and Yaroslav Gumnytskyi. "Mass Exchange Dynamics During the Second Filtration Drying Period." Chemistry & Chemical Technology 3, no. 2 (June 15, 2009): 129–37. http://dx.doi.org/10.23939/chcht03.02.129.

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The work is dedicated to theoretical and experimental investigations of kinetics and dynamics of filtration drying of capillary and pore materials, and mineral granulated fertilizers, in particular. The proposed physical model of a moist particle and the differential system of equations which describes heat exchange in the second drying period enables to determine the transfer velocity of mass-exchange zone in a dispersion layer of the material during filtration drying.
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Razvan, M. R. "On Conley's fundamental theorem of dynamical systems." International Journal of Mathematics and Mathematical Sciences 2004, no. 26 (2004): 1397–401. http://dx.doi.org/10.1155/s0161171204202125.

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Savrassov, Ju S. "Algorithms of filtration and extrapolation for discrete-time dynamical systems." Acta Applicandae Mathematicae 30, no. 3 (March 1993): 193–263. http://dx.doi.org/10.1007/bf00995471.

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Duda, Zdzisław. "Hierarchical filtration for distributed linear multisensor systems." Archives of Control Sciences 22, no. 4 (December 1, 2012): 507–18. http://dx.doi.org/10.2478/v10170-011-0038-7.

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In the paper two filtration algorithms for distributed multisensor system are presented. The first one is derived for a linear dynamical system composed of local subsystems described by local state equations. Local estimates are sent to a central station to be fused and formed an optimal global estimate. The second algorithm is derived for a system observed by local nodes that determine estimates of the whole system using local information and periodically aggregated information from other nodes. Periodically local estimates are sent to the central station to be fused. Owing to this a reduced communication can be achieved
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H.Z, Igamberdiev, and Kholodzhayev B.A. "ALGORITHMS FOR SUSTAINABLE RECOVERY OF INPUT INFLUENCE ON THE BASIS OF DYNAMIC FILTRATION METHODS." International Journal of Psychosocial Rehabilitation 24, no. 03 (February 18, 2020): 232–39. http://dx.doi.org/10.37200/ijpr/v24i3/pr200774.

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Bang, Jong-Geun, and Yoong-Sup Yoon. "Analysis of Filtration Performance by Brownian Dynamics." Transactions of the Korean Society of Mechanical Engineers B 33, no. 10 (October 1, 2009): 811–19. http://dx.doi.org/10.3795/ksme-b.2009.33.10.811.

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Dissertations / Theses on the topic "Dynamical filtrations"

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Benzoni, Séverin. "Classification des filtrations dynamiques et étude des systèmes d'entropie positive." Electronic Thesis or Diss., Normandie, 2024. https://theses.hal.science/tel-04835404.

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Dans cette thèse, nous explorons les structures possibles des systèmes dynamiques de la forme $\bfX :=(X, \A, \mu, T)$ et leurs tribus facteur $\B \subset \A$. Les deux premiers chapitres étudient les différentes façons dont une tribu facteur $\B$ peut s'inclure dans un système dynamique $\bfX :=(X, \A, \mu, T)$, c'est-à-dire que nous étudions certaines structures possibles de l'\emph{extension} $\A \arr \B$. Dans le premier chapitre, nous considérons les concepts de \emph{super-innovations} et de \emph{standardité} des extensions, inspirés de la théorie des filtrations. Un point important est l'introduction de la notion d'\emph{extensions confinées}, qui nous intéressent parce qu'elles n'ont pas de super-innovation. Nous donnons plusieurs exemples et étudions des propriétés supplémentaires de ces extensions, y compris des résultats de relèvement. Ensuite, nous montrons notre résultat principal : l'existence d'extensions non-standard. Enfin, ce résultat trouve une application dans l'étude des filtrations dynamiques, qui sont les filtrations de la forme $(\F_n)_{n \leq 0}$ telles que chaque $\F_n$ est une tribu facteur. Nous montrons qu'il existe des \emph{filtrations dynamiques I-confortables non standard}.Le deuxième chapitre approfondit l'étude des extensions confinées en trouvant un nouveau type de telles extensions, dans le cadre des suspensions de Poisson : nous prenons un système dynamique $(X, \mu, T)$ en mesure $\s$-finie infinie et une extension compacte $(X \times G, \mu \otimes m_G, T_\phi)$, puis nous considérons l'extension de Poisson correspondante $((X \times G)^*, (\mu \otimes m_G)^*, (T_\phi)_*) \to (X^*, \mu^*, T_*)$. Nous donnons des conditions sous lesquelles cette extension est confinée et construisons un exemple qui correspond à ces conditions.Enfin, le troisième chapitre se concentre sur une famille de filtrations dynamiques : les \emph{filtrations de Pinsker faible}. L'existence de ces filtrations sur tout système ergodique provient d'un résultat récent d'Austin \cite{austin}, et elles se présentent comme un outil potentiel pour décrire les systèmes à entropie positive. Nous explorons les liens entre la structure asymptotique des filtrations de Pinsker faible et les propriétés du système dynamique sous-jacent. Naturellement, nous demandons aussi si, sur un système donné, la structure des filtrations de Pinsker faible est unique à isomorphisme près. Nous donnons une réponse partielle, dans le cas où le système sous-jacent est un schéma de Bernoulli. Nous concluons notre travail en donnant deux exemples explicites de filtrations de Pinsker faible
In this thesis, we explore the possible structures of measure preserving dynamical systems of the form $\bfX :=(X, \A, \mu, T)$ and their factor $\s$-algebras $\B \subset \A$. The first two chapters investigate various ways in which a factor $\s$-algebra $\B$ can sit in a dynamical system $\bfX :=(X, \A, \mu, T)$, i.e. we study some possible structures of the \emph{extension} $\A \arr \B$. In the first chapter, we consider the concepts of \emph{super-innovations} and \emph{standardness} of extensions, which are inspired from the theory of filtrations. An important focus of our work is the introduction of the notion of \emph{confined extensions}, which first interested us because they have no super-innovation. We give several examples and study additional properties of confined extensions, including several lifting results. Then, we show our main result: the existence of non-standard extensions. Finally, this result finds an application to the study of dynamical filtrations, i.e. filtrations of the form $(\F_n)_{n \leq 0}$ such that each $\F_n$ is a factor $\s$-algebra. We show that there exist \emph{non-standard I-cosy dynamical filtrations}.The second chapter furthers the study of confined extensions by finding a new kind of such extensions, in the setup of Poisson suspensions: we take an infinite $\s$-finite measure-preserving dynamical system $(X, \mu, T)$ and a compact extension $(X \times G, \mu \otimes m_G, T_\phi)$, then we consider the corresponding Poisson extension $((X \times G)^*, (\mu \otimes m_G)^*, (T_\phi)_*) \to (X^*, \mu^*, T_*)$. We give conditions under which that extension is confined and build an example which fits those conditions.Lastly, the third chapter focuses on a family of dynamical filtrations: \emph{weak Pinsker filtrations}. The existence of those filtrations on any ergodic system comes from a recent result by Austin \cite{austin}, and they present themselves as a potential tool to describe positive entropy systems. We explore the links between the asymptotic structure of weak Pinsker filtrations and the properties of the underlying dynamical system. Naturally, we also ask whether, on a given system, the structure of weak Pinsker filtrations is unique up to isomorphism. We give a partial answer, in the case where the underlying system is Bernoulli. We conclude our work by giving two explicit examples of weak Pinsker filtrations
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Lanthier, Paul. "Aspects ergodiques et algébriques des automates cellulaires." Thesis, Normandie, 2020. http://www.theses.fr/2020NORMR034.

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La première partie de ce manuscrit entre dans le cadre de la théorie des probabilités, et est consacrée à l’étude de filtrations engendrées par des automates cellulaires. On étudie deux versions d’un automate algébrique agissant sur des configurations dont les états sont à valeurs dans un groupe abélien fini : l’une est déterministe, et consiste à additionner les états de deux cellules consécutives, et la seconde est une perturbation aléatoire de la première. À partir de ces automates, on construit des processus aléatoires markoviens et on étudie les filtrations engendrées par ces processus. On montre en utilisant le critère de I-confort que les deux filtrations sont standards au sens développé par Vershik. Cependant, les automates cellulaires ont comme particularité de commuter avec l’opérateur de décalages des coordonnées, appelé « shift ». Dans cette thèse, on introduit une nouvelle classification des filtrations dite « dynamique » qui tient compte de l’action de cette transformation. Les filtrations sont définies non plus sur des espaces de probabilité mais sur des systèmes dynamiques, ce sont dans ce cas des filtrations « facteurs » : chaque tribu est invariante par la dynamique du système. Le pendant de la standardité du point de vue dynamique est étudié. On crée ainsi un critère nécessaire pour la standardité dynamique appelé « I-confort dynamique ». La question de savoir si le I-confort dynamique est suffisant reste ouverte mais un premier résultat dans cette direction est donné, en montrant qu’une version renforcée du I-confort dynamique entraîne la standardité dynamique. En établissant qu’elle ne satisfait pas le critère de I-confort dynamique, on prouve que la filtration facteur engendrée par l’automate déterministe n’est pas dynamiquement standard, et donc que la classification dynamique des filtrations diffère de la classification développée par Vershik. L’automate probabiliste dépend d’un paramètre d’erreur, et on montre par un argument de percolation que la filtration facteur engendrée par cet automate est dynamiquement standard pour des valeurs assez grandes de ce paramètre. 0n conjecture qu’elle ne sera pas dynamiquement standard pour les valeurs très petites de ce paramètre. La deuxième partie de ce manuscrit, plus algébrique, tire son origine d’une problématique musicale, liée au calcul d’intervalles dans une ligne mélodique périodique. Les travaux présentés ici poursuivent les recherches du compositeur roumain Anatol Vieru et de Moreno Andreatta et Dan Vuza mais d’une manière originale en se plaçant du point des vue des automates cellulaires. On étudie l’action sur des suites périodiques de deux automates cellulaires algébriques, dont l’un est identique à celui de la première partie. Les questions sur la caractérisation des suites réductibles et reproductibles ainsi que les temps associés ont été approfondies et améliorées pour ces deux automates. Le calcul des antécédents et des images via les deux automates a été explicité. La question de l’évolution des périodes a été traitée avec la création d’un outil appelé « caractéristique » qui permet de décrire et de contrôler l’évolution de la période dans les temps négatifs. Des simulations permettent de voir que l’évolution des périodes lorsque l’on tire au hasard des antécédents suit un motif presque régulier, et l’explication de ce phénomène reste une question ouverte. Les résultats mathématiques de cette deuxième partie ont été utilisés dans le module « automaton » d’un logiciel de composition gratuit, nommé « UPISketch. Ce module permet à un compositeur de créer des lignes mélodiques en itérant les images ou en prenant des antécédents successifs d’une ligne mélodique de départ
The first part of this manuscript falls within the framework of probability theory, and is devoted to the study of filtrations generated by some cellular automata. We study two versions of an algebraic automaton acting on configurations whose states take values in a finite Abelian group: one is deterministic, and consists in adding the states of two consecutive cells, and the second is a random perturbation of the first one. From these automata, random Markovian processes are constructed and the filtrations generated by these processes are studied. Using the I-cosiness criterion, we show that the two filtrations are standard in the sense developed by Vershik. However, cellular automata have the particularity of commuting with the coordinate shift operator. In this thesis, we introduce a new classification of the filtrations called "dynamic" which takes into account the action of this transformation. Filtrations are no longer defined on probability spaces but on dynamical systems, and are in this case "factor" filtrations: each sigma-algebra is invariant by the dynamics of the system. The counterpart of standardity from the dynamic point of view is studied. This creates a necessary criterion for dynamic standardity called "dynamic I-cosiness". The question of whether the dynamic I-cosiness is sufficient remains open, but a first result in this direction is given, showing that a strengthened version of the dynamic I-cosiness leads to dynamic standardity. By establishing that it does not satisfy the criterion of dynamic I-cosiness, it is proved that the factor filtration generated by the deterministic automaton is not dynamically standard, and therefore that the dynamic classification of the filtrations differs from the classification developed by Vershik. The probabilistic automaton depends on an error parameter, and it is shown by a percolation argument that the factor filtration generated by this automaton is dynamically standard for large enough values of this parameter. It is conjectured that it will not be dynamically standard for very small values of this parameter. The second part of this manuscript, more algebraic, has its origin in a musical problem, linked to the calculation of intervals in a periodic melodic line. The work presented here continues the research of the Romanian composer Anatol Vieru and of Moreno Andreatta and Dan Vuza, but in an original way from the point of view of cellular automata. We study the action on periodic sequences of two algebraic cellular automata, one of which is identical to that of the first part. The questions on the characterization of reducible and reproducible sequences as well as the associated times have been deepened and improved for these two automata. The calculation of preimages and images via the two automata was explained. The question of the evolution of the periods was treated with the creation of a tool called "characteristic" which allows to describe and control the evolution of the period in negative times. Simulations show that the evolution of the periods when the preimages are drawn at random follows an almost regular pattern, and the explanation of this phenomenon remains an open question. The mathematical results of this second part have been used in the "Automaton" module of a free composing software called "UPISketch ». This module allows a composer to create melodic lines by iterating images or taking successive preimages of a starting melodic line
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Khan, Muhammad Waleed. "Dynamic filtration at soil-geotextile interfaces." Thesis, University of Nottingham, 2017. http://eprints.nottingham.ac.uk/39882/.

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The soil-geotextile filtration mechanism is a complex process which depends on physical compatibility between the geotextile and the soil to be retained. Geotextiles often perform well under steady state conditions like those found in dams. However, when the soil-geotextile interface is subjected to dynamic loading, the requirements for successful filtering are uncertain and/ or conservative as the controlling factors are not well understood in these circumstances. There are few filter design criteria available for dynamic flow conditions. These criteria do not properly address the internal instability of soils for which the rearrangement of particles adjacent to the filter interface is complex. Unstable soils may exist in roadway bases adjacent to pavement edge drain. Therefore, this research work was carried out to better understand the filtration behaviour of non-woven geotextiles with internally stable and unstable soils beneath roads. To carry out the filtration tests, a flexible wall gradient ratio (GR) apparatus was developed. The GR tests were performed to investigate the effect of different factors on the filtration performance of the soil-geotextile interface under dynamic conditions. The factors included hydraulic gradient, vertical stress and frequency of loading, soil gradation and geotextile properties. Test results were interpreted in terms of head loss within the soil and across the geotextile, GR values, permeability ratio, mass and gradation of particles passed through geotextiles, microscopic images of geotextiles after test, partial geotextile clogging levels and hydrometer sieve analyses of soil samples to compare the gradation of samples after test with the original gradation. All the tests were performed under a hydraulic gradient of five. The internal stability of soil samples were evaluated by three geometric criteria. The test results showed that a high hydraulic gradient has the ability to lead to the internal instability of soils which resulted in migration of fines towards the geotextiles. The dynamic loading resulted in increase of soil migration within the base soil as well as washing out of soil particles through geotextiles. No significant effect of increase in frequency and vertical stress was observed on filtration behaviour of soil-geotextile combinations. The geotextile pore size was found to be the main factor controlling the filtration behaviour as compared to other geotextile properties. The Kenney and Lau (1985) and the Kezdi (1979) criteria predicted well the internal instability of soils under dynamic conditions. In this research study, a new method was suggested which is able to measure the pore sizes along the entire thickness of geotextiles. The filtration tests showed that geotextiles having the same large openings but different pore size distributions may result in different filtration performances. Based on the test results, filter design criteria were suggested for piping and blinding limits which were compared with the existing design criteria. These new filter criteria were found to be more appropriate in terms of piping and blinding limit states.
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Turkson, Abraham K. "Electro-ultrafiltration with rotating dynamic membranes." Thesis, McGill University, 1985. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=72036.

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In axial electrofiltration, a DC electric field is imposed between a rotating inner cylinder and a stationary outer cylinder giving rise to four mechanisms which act to minimize solute accumulation at the filter surface: turbulence, centrifugal force, electrophoresis and shear stress which removes solute aggregates.
Four dynamic membranes, Zr(IV) oxide, calcium oleate, poly-2-vinylpyridine and cadmium sulfide, were used to filter bovine serum albumin (BSA) in a disodium phosphate solution at pH = 8 and Prussian blue in distilled water. Prussian blue is a particle of 0.01(mu)m diameter with a zeta potential of -41mV while BSA is a macromolecule of 69,000 molecular weight, a Stokes-Einstein radius of 0.0038(mu)m and a zeta potential of -23.3mV at pH = 8. For BSA, the flux declined with time while the rejection increased. Filtrate fluxes increased with rotation rate and electric field and declined with concentration for both feeds. The flux declined beyond N = 2000rpm and was constant above C(,0) = 5.0wt%. For Prussian blue, the rejection was greater than 90% at all levels of E, N and C(,0). For BSA, the rejection increased with rotation rate and declined with concentration. The BSA rejection declined above N = 2000rpm and was constant beyond C(,0) = 0.5wt%.
A mathematical model was derived to predict the time variation of filtrate flux and a rejection model was used to predict the effect of surface concentration on BSA rejection.
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Schousboe, Frederik Carl. "Media Velocity Considerations in Pleated Air Filtration." Scholar Commons, 2017. http://scholarcommons.usf.edu/etd/6632.

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Asset protection in the form of fluid filtration makes up an ever-increasing part of the civilized and industrialized world. Fluid filtration applications in the conditioned environment and life sciences are affording the world’s population a chance to better realize their potential, while industrial applications help ensure that high demand processes can be carried out safely, reliably, and effectively. In the present work, a tool has been developed, using the computational fluid dynamics package FLUENT, to allow the designer to better predict the magnitude of geometric imperfections within a given pleat configuration. Pleated rectangular filters, intended to improve the quality of air for human occupants, with a U-shaped pleat form have been chosen as the focus of this study. A simulation study is developed to investigate the maximum local velocity normal to the filtration surface and to characterize the magnitude of the pleatwise velocity distribution across a range of pleated geometries and flow conditions. The geometry of the U-shaped pleat form can be characterized by, amongst other parameters, the width of the pleat channel, the overall height of the individual pleat, as well as the thickness of the filtration medium. The various geometries of the current study were developed by changing the width of the pleat channel, as well as the channel height, while keeping the medium thickness constant throughout. Changing the width of the pleat channel allows the designer to achieve varying pleat densities, expressed as a number of pleats along a one inch section of the overall pleated pack. Pleat densities of 6.5, 7, 7.5, 8, and 8.5 pleats per inch are considered in the current study. Pleat heights of 1.0, 0.75, and 0.50 inches are also investigated in the current study. Furthermore, the filter velocity can be characterized by the free stream velocity at the face of the filter pack, termed the face velocity, and by the velocity of the fluid at the interface with the filtration medium, referred to as media velocity. In the present work, the face velocity was adjusted in each case to achieve the desired media velocities across the study, which are 10.5, 9.0, 7.5, and 6.0 feet per minute. In an effort to more clearly communicate the results of the study, the results are presented in the form of a non-dimensionalized plots which present the designer with a way to quickly gauge the effect of pleat geometry on maximum velocity. Additionally, two tools are presented to aid the designer in more accurately predicting the maximum filtration velocity. These tools are then evaluated for effectiveness using the method of absolute relative percent error. The assumption of uniform flow through the filtration media leads to an average absolute relative percent error of 27%. The first tool the reader is presented with is a simple correction factor which predicts the maximum filtration velocity with an average absolute relative percent error of 10% over the study domain. The second tool, which takes a slightly more complicated y-intercept form, characterizes the maximum filtration velocity as a function of average velocity and aspect ratio. This approach further reduces the average absolute relative percent error to 4%. The results of the simulation herein are successfully employed to develop a set of simple yet effective tools that allow the filter designer to more accurately predict maximum velocities through a pleated air filter.
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Wang, Yuyan. "Simulation of pulsatile flow in baffled permeable channel for membrane filtration system." Thesis, University of Bath, 1993. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.332793.

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FLEISCHMAN, GREGORY JOSEPH. "FLUID FILTRATION FROM CAPILLARY NETWORKS (MICROCIRCULATION, MATHEMATICAL MODELING)." Diss., The University of Arizona, 1985. http://hdl.handle.net/10150/187998.

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A mathematical model has been developed which describes the fluid exchange from a capillary network of realistic topology, and calculates the spatial distribution of extravascular pressure. In this model, the capillaries are represented by a superposition of sources and sinks, resulting from a D'Arcy's Law description of flow in tissue of uniform fluid conductivity. The combination of this representation and Starling's Hypothesis, which relates the forces influencing transmural fluid exchange, yields an integral equation of the second kind which is solved numerically for the source strength distribution. Two important features of this approach are that: (i) it allows for interaction between the local tissue pressure field and fluid exchange (the model is called, therefore, the tissue pressure interaction model); and (ii) complex network morphologies are easily modeled. In single capillaries, this interaction, which decreases the predicted fluid exchange, increases with the magnitude of the ratio of capillary wall to extravascular fluid conductivities. For multiple capillaries, in addition to the "self" interaction of a capillary with the local extravascular pressure field, there is the possibility of interaction between capillaries ("capillary-capillary" interaction). The ratio of conductivities, and the additional factors of intercapillary distance and the number of capillaries, also affect interaction in capillary networks. Although interaction is only a weak function of intercapillary distance, it depends strongly on the number of capillaries. The major result from this work is that for the entire physiological range of conductivity ratios, interaction cannot be neglected in predicting fluid exchange. Although tissue pressure interaction affects the magnitude of fluid exchange, it does not greatly alter the pattern of extravascular flow. Therefore, previous models which neglected interaction are not invalidated by the present findings. The effect of interaction on planar capillary networks within a semi-infinite tissue space was also investigated. Flow boundary conditions were imposed at opposed planar boundaries, parallel with the capillary network. Interaction was found to decrease with decreasing distance between the boundary and plane of the capillaries. It still exerted a large effect, however, for distances greater than one-fourth the reference capillary length.
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Cao, Shiya. "Analysis of Household Water Filtration in China: A System Dynamics Model." Digital WPI, 2018. https://digitalcommons.wpi.edu/etd-theses/1268.

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As the economy has been growing fast in China, Chinese people have more incomes and then higher standard of living. In the case of household water treatment, more and more urban residents in China use bottled water or water filtration system instead of tap water because people start to worry about polluted tap water. According to a survey from China Water Supply Services Promotion Alliance in 2014, 59% of urban residents drinking water is from tap water (after being boiled), 41% from bottled water and water filtration system. The 41% participants prefer bottled water as the first choice over a water filtration system. The comparative advantages and disadvantages of home water filtration system and bottled water are analyzed using comparative analysis. The reasons why home water filtration industry has grown slowly in urban China even though it is less expensive and has environmental benefits are analyzed using a system dynamics model. The model focuses on the physical system of home water filtration industry. The study shows that order delivery delay and service time are key factors to the adoption rate of home water filtration system. However, initial cost becomes a limiting factor to the growth of the market of home water filtration system. The study proposes the according market policy, demand policy, and supply policy to improve the current scenario.
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Arthur, Kevin Gordon. "An experimental and theoretical study of the filtration characteristics of water-based drilling muds." Thesis, Heriot-Watt University, 1986. http://hdl.handle.net/10399/1082.

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Roberts, Mark. "Assessment of glomerular dynamics in human pregnancy using theoretical analysis and dextran sieving coefficients." Thesis, University of Newcastle Upon Tyne, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.336811.

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Books on the topic "Dynamical filtrations"

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Klotz, Dietmar. Berechnete Durchlässigkeiten handelsüblicher Brunnenfilterrohre und Kunststoff-Kiesbelagfilter (Stand 1990). Neuherberg: GSF-Forschungszentrum für Umwelt und Gesundheit, 1991.

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2

John, Harlim, ed. Filtering complex turbulent systems. Cambridge: Cambridge University Press, 2012.

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V, Panfilova I., ed. Osrednennye modeli filtrat͡s︡ionnykh prot͡s︡essov s neodnorodnoĭ vnutrenneĭ strukturoĭ. Moskva: "Nauka", 1996.

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Pankov, V. N. (Viktor Nikolaevich) and Panʹko, S. V. (Sergeĭ Vasilʹevich), eds. Matematicheskai︠a︡ teorii︠a︡ t︠s︡elikov ostatochnoĭ vi︠a︡zkoplastichnoĭ nefti. Tomsk: Izd-vo Tomskogo universiteta, 1989.

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Mazo, Aleksandr, and Konstantin Potashev. The superelements. Modeling of oil fields development. ru: INFRA-M Academic Publishing LLC., 2020. http://dx.doi.org/10.12737/1043236.

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This monograph presents the basics of super-element modeling method of two-phase fluid flows occurring during the development of oil reservoir. The simulation is performed in two stages to reduce the spatial and temporal scales of the studied processes. In the first stage of modeling of development of oil deposits built long-term (for decades) the model of the global dynamics of the flooding on the super-element computational grid with a step equal to the average distance between wells (200-500 m). Local filtration flow, caused by the action of geological and technical methods of stimulation, are modeled in the second stage using a special mathematical models using computational grids with high resolution detail for the space of from 0.1 to 10 m and time — from 102 to 105 C. The results of application of the presented models to the solution of practical tasks of development of oil reservoir. Special attention is paid to the issue of value transfer in filtration-capacitive properties of the reservoir, with a detailed grid of the geological model on the larger grid reservoir models. Designed for professionals in the field of mathematical and numerical modeling of fluid flows occurring during the development of oil fields and using traditional commercial software packages, as well as developing their own software. May be of interest to undergraduate and graduate students studying in areas such as "Mechanics and mathematical modeling", "Applied mathematics", "Oil and gas".
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Espedal, M. S. Filtration in porous media and industrial application: Lectures given at the 4th session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Cetraro, Italy, August 24-29, 1998. Edited by Fasano A, Mikelić A, and Centro internazionale matematico estivo. Berlin: Springer, 2000.

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Endlich, Karlhans, and Rodger Loutzenhiser. Tubuloglomerular feedback, renal autoregulation, and renal protection. Edited by Neil Turner. Oxford University Press, 2015. http://dx.doi.org/10.1093/med/9780199592548.003.0209.

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Vascular tone of glomerular blood vessels is controlled dynamically in response to a number of stimuli of which tubuloglomerular feedback and blood flow (and glomerular filtration rate) autoregulation are the most prominent. Both tubuloglomerular feedback- and myogenic-mediated pre-glomerular vasoconstriction are important in the response to reduced pressure. The renal myogenic mechanism, which has the potential to adjust steady-state tone in response to the oscillating systolic pressure signal, additionally plays an essential role in protecting the kidney from the damaging effects of hypertension.
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Charry, Luisa, Pranav Gupta, and Vimal Thakoor. Introducing a Semi-Structural Macroeconomic Model for Rwanda. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198785811.003.0018.

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We develop a simple semi-structural model for the Rwandan economy to better understand the monetary policy transmission mechanism. A key feature of the model is the introduction of a modified uncovered interest parity condition to capture key structural features of Rwanda’s economy and policy framework, such as the limited degree of capital mobility and managed floating regime. A filtration of the observed data through the model allows us to illustrate the contribution of various factors to inflation dynamics and its deviations from the inflation target. Our results, consistent with evidence for other countries in the region, suggest that food and oil prices as well as the exchange rate have accounted for the bulk of inflation dynamics in Rwanda.
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Andrle, Michal, Andrew Berg, R. Armando Morales, Rafael Portillo, and Jan Vlcek. On the Sources of Inflation in Kenya. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198785811.003.0015.

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The authors develop a semi-structural, New Keynesian open-economy model with separate food and non-food inflation dynamics to study the sources of inflation in Kenya in recent years. They filter international and Kenyan data through the model to recover a model-based decomposition of most variables into trends (or potential values) and temporary movements (or gaps), including for the international and domestic relative price of food. The filtration exercise helps recover the sequence of domestic and foreign macroeconomic shocks that account for business cycle dynamics in Kenya over the last few years, with a special emphasis on the various factors (international food prices, monetary policy) driving inflation. The authors find that while imported food price shocks have been an important source of inflation, both in 2008 and more recently, accommodating monetary policy has also played a role, most notably through its effect on the nominal exchange rate.
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Espedal, M. S., and A. Mikelic. Filtration in Porous Media and Industrial Application: Lectures given at the 4th Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held ... Mathematics / Fondazione C.I.M.E., Firenze). Springer, 2001.

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Book chapters on the topic "Dynamical filtrations"

1

Shub, Michael. "Filtrations." In Global Stability of Dynamical Systems, 8–12. New York, NY: Springer New York, 1987. http://dx.doi.org/10.1007/978-1-4757-1947-5_2.

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Shub, Michael. "Sequences of Filtrations." In Global Stability of Dynamical Systems, 13–19. New York, NY: Springer New York, 1987. http://dx.doi.org/10.1007/978-1-4757-1947-5_3.

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Çetin, Umut, and Albina Danilova. "Static Markov Bridges and Enlargement of Filtrations." In Dynamic Markov Bridges and Market Microstructure, 81–117. New York, NY: Springer New York, 2018. http://dx.doi.org/10.1007/978-1-4939-8835-8_4.

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Spitzenberger, Andy, Katrin Bauer, and Rüdiger Schwarze. "Reactive Cleaning and Active Filtration in Continuous Steel Casting." In Multifunctional Ceramic Filter Systems for Metal Melt Filtration, 427–52. Cham: Springer International Publishing, 2024. http://dx.doi.org/10.1007/978-3-031-40930-1_17.

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AbstractBasic fluid dynamic processes of melt filtration have been investigated in order to increase the performance and efficiency of filtration systems in steelmaking, especially for continuous steel casting. Numerical simulations have been performed to investigate the interactions between filter structures and the mean melt flow, the development of endogenous non-metallic inclusion (NMI) populations in the flow, and inclusion removal from the melt. For this purpose, Euler–Lagrange models of the particle-laden flow have been developed. As a major finding, the reactive cleaning process of the melt has been proven to be a very efficient cleaning method. Here, inclusion removal is strongly improved by the lifting action of reactively generated gas bubbles at the NMI surfaces. Details of the reactive cleaning process and the combination of reactive cleaning and active filtration have been investigated, too. The prediction quality of the numerical models with regard to fluid flow and the efficiency of the employed filtration systems have been successfully examined by comparing numerical simulations with the results from experimental investigations in different water model experiments and the steel casting simulator.
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Sirbiladze, Gia. "Problems of States Estimation (Filtration) of Extremal Fuzzy Processes." In Extremal Fuzzy Dynamic Systems, 255–88. New York, NY: Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-4250-9_8.

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Kempken, R., H. Rechtsteiner, J. Schäfer, U. Katz, O. Dick, R. Weidemeier, and I. Sellick. "Dynamic Membrane Filtration in Mammalian Cell Culture Harvest." In Animal Cell Technology, 379–84. Dordrecht: Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-011-5404-8_60.

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Xie, Xiaomin, Wenxiang Zhang, Luhui Ding, Philippe Schmitz, and Luc Fillaudeau. "Hydrodynamic Enhancement by Dynamic Filtration for Environmental Applications." In Environmental Chemistry for a Sustainable World, 243–64. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-33978-4_6.

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Rõõm, Rein, and Aarne Männik. "Acoustic Filtration in Pressure-Coordinate Models." In IUTAM Symposium on Advances in Mathematical Modelling of Atmosphere and Ocean Dynamics, 221–26. Dordrecht: Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-010-0792-4_29.

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Nicklas, Jan, Lisa Ditscherlein, Shyamal Roy, Stefan Sandfeld, and Urs A. Peuker. "Microprocesses of Agglomeration, Hetero-coagulation and Particle Deposition of Poorly Wetted Surfaces in the Context of Metal Melt Filtration and Their Scale Up." In Multifunctional Ceramic Filter Systems for Metal Melt Filtration, 361–86. Cham: Springer International Publishing, 2024. http://dx.doi.org/10.1007/978-3-031-40930-1_15.

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AbstractIn this chapter the fundamental principles of the interaction of poorly wetted particles with interfaces of particles and bubbles are investigated in a water-based model system in which the similarity of poor wettability of non-metallic inclusions by molten metal and the poor wettability of silanized metal-oxide-particles by water is utilized. Capillary forces, the presence of nanobubbles and absorption of gas layers accompany the decreased wettability and lead to strong attractive forces. The combined effect of wettability and surface roughness is analyzed in detail, employing a variety of Atomic Force Microscopy techniques, as well as theoretical modeling of capillary forces and retarded van der Waals Forces for layered substrates. These concepts are extended to investigate particle-bubble interactions at different approach velocities by Colloidal Probe Atomic Force Microscopy and analysis by the Stokes-Reynolds-Young–Laplace model. The influence of temperature effects on the particle–particle interaction is investigated by High Temperature Atomic Force Microscopy. Additionally, the suitability of different interaction potentials for the Molecular Dynamics simulation of sintering alumina nanoparticles is accessed. Macroscopic agglomeration and hetero-coagulation experiments in a baffled stirred tank provide an insight into the dynamics of agglomeration and hetero-coagulation at for the metal melt filtration typical inclusion concentrations and wettability states.
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Boguslavskiy, Josif A. "Identification of Parameters of Nonlinear Dynamic Systems; Smoothing, Filtration, Forecasting of State Vectors." In Dynamic Systems Models, 71–108. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-04036-3_5.

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Conference papers on the topic "Dynamical filtrations"

1

Mao, Xinyu, Irmgard Bischofberger, and Anette E. Hosoi. "Poster: Manta-inspired filtration." In 77th Annual Meeting of the APS Division of Fluid Dynamics. American Physical Society, 2024. http://dx.doi.org/10.1103/aps.dfd.2024.gfm.p2673818.

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Ershov, Ivan A., Oleg V. Stukach, Igor V. Sychev, and Igor B. Tsydenzhapov. "The Wavelet Filtration Denoising in the Raman Distributed Temperature Sensing." In 2020 Dynamics of Systems, Mechanisms and Machines (Dynamics). IEEE, 2020. http://dx.doi.org/10.1109/dynamics50954.2020.9306138.

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Belim, S. V., and S. B. Larionov. "The algorithm of the impulse noise filtration in images based on an algorithm of community detection in graphs." In 2017 Dynamics of Systems, Mechanisms and Machines (Dynamics). IEEE, 2017. http://dx.doi.org/10.1109/dynamics.2017.8239433.

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Van Der Zwaag, Claas H., Tor Henry Omland, and Tore Vandbakk. "Dynamic Filtration: Seepage Losses on Tyrihans." In SPE International Symposium and Exhibition on Formation Damage Control. Society of Petroleum Engineers, 2012. http://dx.doi.org/10.2118/151678-ms.

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Peng, Shuang Jiu, and J. M. Peden. "Prediction of Filtration Under Dynamic Conditions." In SPE Formation Damage Control Symposium. Society of Petroleum Engineers, 1992. http://dx.doi.org/10.2118/23824-ms.

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Ershov, Ivan A., Oleg V. Stukach, Nina V. Myasnikova, Igor B. Tsydenzhapov, and Igor V. Sychev. "The Resolution Enhancement in the Distributed Temperature Sensor with the Extremal Filtration Method." In 2020 Dynamics of Systems, Mechanisms and Machines (Dynamics). IEEE, 2020. http://dx.doi.org/10.1109/dynamics50954.2020.9306163.

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Vaussard, A., M. Martin, O. Konirsch, and J. M. Patroni. "An Experimental Study of Drilling Fluids Dynamic Filtration." In SPE Annual Technical Conference and Exhibition. Society of Petroleum Engineers, 1986. http://dx.doi.org/10.2118/15412-ms.

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Li, D., B. Rong, X. Rui, and Y. Liu. "Modelling of cake filtration in centrifugal dewatering by finite difference." In 1st International Conference on Mechanical System Dynamics (ICMSD 2022). Institution of Engineering and Technology, 2022. http://dx.doi.org/10.1049/icp.2022.1791.

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Lu, Junfeng, Yang Chu, and Wen-Qiang Lu. "An Investigation for the Usability of K-K Equations for Nano Porous Membranes." In ASME 2009 Second International Conference on Micro/Nanoscale Heat and Mass Transfer. ASMEDC, 2009. http://dx.doi.org/10.1115/mnhmt2009-18088.

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As physical model used to interpret the fluid behavior when it passes through a semi-permeable membrane, Kedem-Ketchalsky’s (K-K) equations [1, 2] were successfully used in a bunch of filtration processes. However, because they were developed and dedicated to normal ultra- and micro-filtration systems, their limitations were obviously observed in some sort of nano-filtration processes that the pore size of the filtration membrane is only several nanometers. This paper analyzed the feasible utilization scopes of K-K equations. And two methods, Molecular Dynamics (MD) method and Computational Fluid Dynamics (CFD) method, used respectively to analyze nano- and ultra-filtration processes are introduced in this paper.
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Oviroh, Peter Ozaveshe, Lesego M. Mohlala, and Tien-Chien Jen. "Effects of Defects on Nanoporous Graphene and MoS2." In ASME 2020 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/imece2020-23442.

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Abstract Nanoporous 2D materials such as grapheme and MoS2 promises better filtrations in water channels. However certain parameters that affects these materials for effective deployment need to be studied. In this paper, molecular dynamics (MD) simulation was performed to study the effects of defects that could increase the prospect of tuning the efficiency of the materials in the transportation, catalysis and mechanical reaction efficiency. Consideration of the interfaces between them could lead to improved functionalities of the materials. This paper systematically compares MoS2 and graphene membranes to highlight specific features and benefits. the Young’s modulus of the pristine monolayer MoS2 was calculated to be 447GPa while that of the defective MoS2 was found to be in the range of (314–374) GPa. The Young’s Modulus for Graphene was 783.2 GPa. The relative variation of the Young’s modulus on MoS2 is in the range (13–35) % while that of graphene is (13–21) %. From the results obtained, the maximum pressure that the MoS2 can withstand depends not just on the spacing and size of the nanopores, but also on the area of the defects in the membrane. These findings could help build and proliferate tunable filtration nanodevices and other applications.
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Reports on the topic "Dynamical filtrations"

1

Clague, D., T. Weisgraber, J. Rockway, and K. McBride. Dynamic simulation tools for the analysis and optimization of novel collection, filtration and sample preparation systems. Office of Scientific and Technical Information (OSTI), February 2006. http://dx.doi.org/10.2172/894770.

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