920 resultados para Interval analysis (Mathematics)


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In this thesis we attempt to make a probabilistic analysis of some physically realizable, though complex, storage and queueing models. It is essentially a mathematical study of the stochastic processes underlying these models. Our aim is to have an improved understanding of the behaviour of such models, that may widen their applicability. Different inventory systems with randon1 lead times, vacation to the server, bulk demands, varying ordering levels, etc. are considered. Also we study some finite and infinite capacity queueing systems with bulk service and vacation to the server and obtain the transient solution in certain cases. Each chapter in the thesis is provided with self introduction and some important references

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In this thesis we have presented several inventory models of utility. Of these inventory with retrial of unsatisfied demands and inventory with postponed work are quite recently introduced concepts, the latt~~ being introduced for the first time. Inventory with service time is relatively new with a handful of research work reported. The di lficuity encoLlntered in inventory with service, unlike the queueing process, is that even the simplest case needs a 2-dimensional process for its description. Only in certain specific cases we can introduce generating function • to solve for the system state distribution. However numerical procedures can be developed for solving these problem.

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In this article, we study reliability measures such as geometric vitality function and conditional Shannon’s measures of uncertainty proposed by Ebrahimi (1996) and Sankaran and Gupta (1999), respectively, for the doubly (interval) truncated random variables. In survival analysis and reliability engineering, these measures play a significant role in studying the various characteristics of a system/component when it fails between two time points. The interrelationships among these uncertainty measures for various distributions are derived and proved characterization theorems arising out of them

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Department of Statistics, Cochin University of Science & Technology, Part of this work has been supported by grants from DST and CSIR, Government of India. 2Department of Mathematics and Statistics, IIT Kanpur

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Diabetes mellitus is a disease where the glucosis-content of the blood does not automatically decrease to a ”normal” value between 70 mg/dl and 120 mg/dl (3,89 mmol/l and 6,67 mmol/l) between perhaps one hour (or two hours) after eating. Several instruments can be used to arrive at a relative low increase of the glucosis-content. Besides drugs (oral antidiabetica, insulin) the blood-sugar content can mainly be influenced by (i) eating, i.e., consumption of the right amount of food at the right time (ii) physical training (walking, cycling, swimming). In a recent paper the author has performed a regression analysis on the influence of eating during the night. The result was that one ”bread-unit” (12g carbon-hydrats) increases the blood-sugar by about 50 mg/dl, while one hour after eating the blood-sugar decreases by about 10 mg/dl per hour. By applying this result-assuming its correctness - it is easy to eat the right amount during the night and to arrive at a fastening blood-sugar (glucosis-content) in the morning of about 100 mg/dl (5,56 mmol/l). In this paper we try to incorporate some physical exercise into the model.

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The 21st century has brought new challenges for forest management at a time when globalization in world trade is increasing and global climate change is becoming increasingly apparent. In addition to various goods and services like food, feed, timber or biofuels being provided to humans, forest ecosystems are a large store of terrestrial carbon and account for a major part of the carbon exchange between the atmosphere and the land surface. Depending on the stage of the ecosystems and/or management regimes, forests can be either sinks, or sources of carbon. At the global scale, rapid economic development and a growing world population have raised much concern over the use of natural resources, especially forest resources. The challenging question is how can the global demands for forest commodities be satisfied in an increasingly globalised economy, and where could they potentially be produced? For this purpose, wood demand estimates need to be integrated in a framework, which is able to adequately handle the competition for land between major land-use options such as residential land or agricultural land. This thesis is organised in accordance with the requirements to integrate the simulation of forest changes based on wood extraction in an existing framework for global land-use modelling called LandSHIFT. Accordingly, the following neuralgic points for research have been identified: (1) a review of existing global-scale economic forest sector models (2) simulation of global wood production under selected scenarios (3) simulation of global vegetation carbon yields and (4) the implementation of a land-use allocation procedure to simulate the impact of wood extraction on forest land-cover. Modelling the spatial dynamics of forests on the global scale requires two important inputs: (1) simulated long-term wood demand data to determine future roundwood harvests in each country and (2) the changes in the spatial distribution of woody biomass stocks to determine how much of the resource is available to satisfy the simulated wood demands. First, three global timber market models are reviewed and compared in order to select a suitable economic model to generate wood demand scenario data for the forest sector in LandSHIFT. The comparison indicates that the ‘Global Forest Products Model’ (GFPM) is most suitable for obtaining projections on future roundwood harvests for further study with the LandSHIFT forest sector. Accordingly, the GFPM is adapted and applied to simulate wood demands for the global forestry sector conditional on selected scenarios from the Millennium Ecosystem Assessment and the Global Environmental Outlook until 2050. Secondly, the Lund-Potsdam-Jena (LPJ) dynamic global vegetation model is utilized to simulate the change in potential vegetation carbon stocks for the forested locations in LandSHIFT. The LPJ data is used in collaboration with spatially explicit forest inventory data on aboveground biomass to allocate the demands for raw forest products and identify locations of deforestation. Using the previous results as an input, a methodology to simulate the spatial dynamics of forests based on wood extraction is developed within the LandSHIFT framework. The land-use allocation procedure specified in the module translates the country level demands for forest products into woody biomass requirements for forest areas, and allocates these on a five arc minute grid. In a first version, the model assumes only actual conditions through the entire study period and does not explicitly address forest age structure. Although the module is in a very preliminary stage of development, it already captures the effects of important drivers of land-use change like cropland and urban expansion. As a first plausibility test, the module performance is tested under three forest management scenarios. The module succeeds in responding to changing inputs in an expected and consistent manner. The entire methodology is applied in an exemplary scenario analysis for India. A couple of future research priorities need to be addressed, particularly the incorporation of plantation establishments; issue of age structure dynamics; as well as the implementation of a new technology change factor in the GFPM which can allow the specification of substituting raw wood products (especially fuelwood) by other non-wood products.

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The component structure of a 34-item scale measuring different aspects of job satisfaction was investigated among extension officers in North West Province, South Africa. A simple random sampling technique was used to select 40 extension officers from which data were collected. A structured questionnaire consisting of 34 job satisfaction and 10 personal characteristic items was administered to the extension officers. Items on job satisfaction were measured at interval level and analyzedwith Principal ComponentAnalysis. Most of the respondents (82.5%) weremales, between 40 to 45 years, 85% were married and 87.5% had a diploma as their educational qualification. Furthermore, 54% of the households size between 4 to 6 persons, whereas 75% were Christians. The majority of the extension officers lived in their job area (82.5), while 80% covered at least 3 communities and 3 farmer groups. In terms of number of farmers covered, only 40% of the extension officers covered more than 500 farmers and 45% travelled more than 40 km to reach their farmers. From the job satisfaction items 9 components were extracted to show areas for job satisfaction among extension officers. These were in-service training, research policies, communicating recommended practices, financial support for self and family, quality of technical help, opportunity to advance education, management and control of operations, rewarding system and sanctions. The results have several implications for motivating extension officers for high job performance especially with large number of clients and small number of extension agents.

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The identification of chemical mechanism that can exhibit oscillatory phenomena in reaction networks are currently of intense interest. In particular, the parametric question of the existence of Hopf bifurcations has gained increasing popularity due to its relation to the oscillatory behavior around the fixed points. However, the detection of oscillations in high-dimensional systems and systems with constraints by the available symbolic methods has proven to be difficult. The development of new efficient methods are therefore required to tackle the complexity caused by the high-dimensionality and non-linearity of these systems. In this thesis, we mainly present efficient algorithmic methods to detect Hopf bifurcation fixed points in (bio)-chemical reaction networks with symbolic rate constants, thereby yielding information about their oscillatory behavior of the networks. The methods use the representations of the systems on convex coordinates that arise from stoichiometric network analysis. One of the methods called HoCoQ reduces the problem of determining the existence of Hopf bifurcation fixed points to a first-order formula over the ordered field of the reals that can then be solved using computational-logic packages. The second method called HoCaT uses ideas from tropical geometry to formulate a more efficient method that is incomplete in theory but worked very well for the attempted high-dimensional models involving more than 20 chemical species. The instability of reaction networks may lead to the oscillatory behaviour. Therefore, we investigate some criterions for their stability using convex coordinates and quantifier elimination techniques. We also study Muldowney's extension of the classical Bendixson-Dulac criterion for excluding periodic orbits to higher dimensions for polynomial vector fields and we discuss the use of simple conservation constraints and the use of parametric constraints for describing simple convex polytopes on which periodic orbits can be excluded by Muldowney's criteria. All developed algorithms have been integrated into a common software framework called PoCaB (platform to explore bio- chemical reaction networks by algebraic methods) allowing for automated computation workflows from the problem descriptions. PoCaB also contains a database for the algebraic entities computed from the models of chemical reaction networks.

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In früheren Experimenten konnte gezeigt werden, dass die sekundären Botenstoffe cAMP, cGMP und IP3 in der olfaktorischen Signaltransduktionskaskade bei Manduca sexta involviert sind. Während cGMP Perfusionen in die Antenne die Pheromonwahrnehmung tageszeitabhängig adaptierten, führten cAMP Perfusionen zu einer tageszeitabhängigen Sensitisierung, ähnlicher der von Octopamin (OA). Daher wurde hypothetisiert, dass eine tageszeitabhängige Oszillation antennaler OA Level sowie der intrazelluläre Kalziumkonzentration in einer Schwankung von sekundären Botenstoffen resultieren könnte. Diese Hypothese wurde mittels biochemischen Nachweißverfahren in der Antenne von M. sexta und Rhyparobia maderae überprüft. Tatsächlich konnten in der Antenne des Tabakschwärmers tageszeitabhängige Unterschiede in der OA-, cAMP- und IP3-, aber nicht in der cGMP Konzentration, nachgewiesen werden. Während die cAMP- und OA Oszillationen einander sehr ähnelten und die Maxima in der Paarungsphase aufzeigten, korrelierte der IP3 Verlauf sehr stark mit dem Flug- bzw. Fressverhalten. Diese Korrelationen konnten auch in der Madeira Schabe beobachtet werden, in der darüber hinaus gezeigt werden konnte, dass antennale cAMP- und IP3 Level von dem circadianen Uhrwerk gesteuert werden. Zudem wurde herausgefunden, dass OA die cAMP- und teilweise auch die IP3- Spiegel reguliert. Demgegenüber beeinflusste Kalzium die Konzentration aller untersuchten sekundären Botenstoffe. Daher wird angenommen, dass die intrazelluläre Kalziumkonzentration aber auch der antennale OA Level kritische Faktoren bei der Regelung der olfaktorischen Sensitivität sind. Da Oszillationen von sekundären Botenstoffen in mutmaßlichen, peripheren Schrittmacher nachgewiesen wurden, wurde untersucht, ob sie auch im circadianen Schrittmacher der Madeira Schabe oszillieren und ob das Neuropeptid pigment-dispersing factor (PDF), ein entscheidender Kopplungsfaktor des Uhrwerks in Insekten, diese Rhythmen generieren könnte. Es konnte gezeigt werden, dass PDF die cAMP Synthese steigert. Darüber hinaus wurden bimodale cAMP Oszillationen unter licht-dunkel Bedingungen beobachtet, welche unter konstanten Umweltbedingungen verblieben. Daher wird angenommen, dass PDF Freisetzung zelluläres cAMP erhöht über das das circadiane Uhrwerk synchronisiert wird.

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Circadiane Schrittmacher koordinieren die täglichen Rhythmen in Physiologie und Verhalten in lebenden Organismen. Die Madeira Schabe Rhyparobia maderae (Synonym: Leucophaea maderae) ist ein gut etabliertes Modell, um die neuronalen Mechanismen der circadianen Rhythmen bei Insekten zu studieren. Die akzessorische Medulla (AME) in den optischen Loben des Gehirns wurde als das circadiane Schrittmacherzentrum der Madeira Schabe identifiziert, das circadiane Rhythmen in der Laufaktivität steuert. Über die Neurotransmitter der Eingangswege in das circadiane System der Madeira Schabe ist noch nicht viel bekannt. Das Hauptziel dieser Arbeit war es, mögliche Eingangssignale in die innere Uhr der Madeira Schabe zu bestimmen. An primären Zellkulturen von AME-Neuronen wurden Calcium-Imaging Experimente durchgeführt, um die Neurotransmitter-abhängigen Veränderungen in der intrazellulären Calcium-Konzentration zu messen. Darüber hinaus wurde die Signalkaskade des Neuropeptids Pigment Dispersing Factor (PDF), dem wichtigsten Kopplungsfaktor in circadianen Schrittmachern von Insekten, in Calcium-Imaging und Förster-Resonanzenergietransfer (FRET) Experimenten untersucht. Acetylcholin (ACh) erhöht die intrazelluläre Calcium-Konzentration in der Mehrzahl der circadianen Schrittmacherneurone der Madeiraschabe. Applikation von GABA, Serotonin und Octopamin erhöhten oder reduzierten die intrazelluläre Calcium-Konzentration in den AME-Neuronen, während Histamin und Glutamat die intrazelluläre Calcium-Konzentration ausschließlich reduzierten. Pharmakologische Experimente zeigten, dass die AME-Neurone ACh über ionotrope nikotinische ACh-Rezeptoren detektierten, während GABA über ionotrope GABAA-Rezeptoren und metabotrope GABAB-Rezeptoren detektiert wurde. Diese Ergebnisse deuten darauf hin, dass die circadiane Aktivität der Schabe durch verschiedene Eingänge, einschließlich ACh, GABA, Glutamat, Histamin, Octopamin und Serotonin, moduliert wird. Bei den FRET Studien wurde ein Proteinkinase A (PKA)-basierter FRET Sensor zur Detektion von cyclischem AMP (cAMP) verwendet. Es wurde gezeigt, dass PDF über Adenylylcyclase-abhängige und -unabhängige Signalwege wirken kann. Zusätzlich wurden Laufrad-Assays durchgeführt, um Phasenverschiebungen im Rhythmus der circadianen Laufaktivität zu detektieren, nachdem der Neurotransmitter Histamin zu verschiedenen circadianen Zeiten injiziert wurde. Histamin-Injektionen durch die Komplexaugen der Schabe ergaben eine biphasische Phasenantwortkurve (phase response curve) mit Phasenverzögerungen in der Laufaktivität am späten subjektiven Tag und am Beginn der subjektiven Nacht und Phasenbeschleunigungen in der späten subjektiven Nacht. Schließlich wurde eine extrazelluläre Ableittechnik an lebenden Schaben etabliert, die gleichzeitige Langzeit-Ableitungen von der AME, des Komplexauges (Elektroretinogramm = ERG), und der Beinmuskulatur (Elektromyogramm = EMG) für mehrere Tage ermöglichte. Diese Methode bietet einen Ausgangspunkt für weitere elektrophysiologische Untersuchungen des circadianen Systems der Schabe, in denen Substanzen (z.B. Neurotransmitter und Neuropeptide) analysiert werden können, die einen Einfluss auf den circadianen Rhythmus in der Laufaktivität haben