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Дисертації з теми "Mathematical models"

Автор: Grafiati

Опубліковано: 4 червня 2021

Оновлено: 25 липня 2025

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1

Tonner, Jaromír. "Overcomplete Mathematical Models with Applications." Doctoral thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2010. http://www.nusl.cz/ntk/nusl-233893.

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Chen, Donoho a Saunders (1998) studují problematiku hledání řídké reprezentace vektorů (signálů) s použitím speciálních přeurčených systémů vektorů vyplňujících prostor signálu. Takovéto systémy (někdy jsou také nazývány frejmy) jsou typicky vytvořeny buď rozšířením existující báze, nebo sloučením různých bazí. Narozdíl od vektorů, které tvoří konečně rozměrné prostory, může být problém formulován i obecněji v rámci nekonečně rozměrných separabilních Hilbertových prostorů (Veselý, 2002b; Christensen, 2003). Tento funkcionální přístup nám umožňuje nacházet v těchto prostorech přesnější reprezen

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2

Widmer, Tobias K. "Reusable mathematical models." Zürich : ETH, Eidgenössische Technische Hochschule Zürich, Department of Computer Science, Chair of Software Engineering, 2004. http://e-collection.ethbib.ethz.ch/show?type=dipl&nr=192.

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3

Maggiori, Claudia. "Mathematical models in biomedicine." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2020. http://amslaurea.unibo.it/21247/.

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In questa tesi vengono innanzitutto presentati due metodi matematici per lo studio di modelli biomedici e comportamentali. I modelli presentati sono tre: un modello per lo studio dell'evoluzione della malattia di Alzheimer, uno per lo studio dello sviluppo dei tumori e uno per la diffusione del Covid-19. Si riportano anche alcuni codici utilizzati per lo studio e lo sviluppo dei modelli trattati. Le conclusioni contengono alcuni possibili sviluppi degli argomenti trattati.

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4

Mathewson, Donald Jeffrey. "Mathematical models of immunity." Thesis, University of British Columbia, 1990. http://hdl.handle.net/2429/29575.

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A cross-linking model for the activation of the A cell or immune accessory cell as a function of certain extracellular conditions is developed to determine the valency of the specific factor receptor on the A cell surface. It is found that such a determination can be made based on the FWHM of cross-linking curves which differ by a full order of magnitude between the bivalent receptor case and the monovalent receptor case. This determination can be made provided one can obtain accurate values for the equilibrium constants which characterize the system and provided that activation and IL-1 secre

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5

Heron, Dale Robert. "Mathematical models of superconductivity." Thesis, University of Oxford, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.296893.

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6

Bozic, Ivana. "Mathematical Models of Cancer." Thesis, Harvard University, 2012. http://dissertations.umi.com/gsas.harvard:10220.

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Major efforts to sequence cancer genomes are now occurring throughout the world. Though the emerging data from these studies are illuminating, their reconciliation with epidemiologic and clinical observations poses a major challenge. Here we present mathematical models that begin to address this challenge. First we present a model of accumulation of driver and passenger mutations during tumor progression and derive a formula for the number of driver mutations as a function of the total number of mutations in a tumor. Fitting this formula to recent experimental data, we were able to calculate t

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7

Luther, Roger. "Mathematical models of kleptoparasitism." Thesis, University of Sussex, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.410365.

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The phenomenon of kleptoparasitism - "food-stealing" - has frequently been observed, in a wide range of animal species. In this thesis, I extend the game-theoretic model of kleptoparasitism, proposed by Broom and Ruxton 1998, in a number of ways. Firstly, using their model, I investigate how quickly the equilibrium state of a kleptoparasitic population is reached. This work has been published (Luther and Broom 2004). I then investigate the case of a single homogenous population of kleptoparasites, finding which behaviours are Evolutionarily Stable Strategies. This is done with a variable proba

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8

Mazzag, Barbara Cathrine. "Mathematical models in biology /." For electronic version search Digital dissertations database. Restricted to UC campuses. Access is free to UC campus dissertations, 2002. http://uclibs.org/PID/11984.

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9

Niederhauser, Beat. "Mathematical Aspects of Hopfield models." [S.l.] : [s.n.], 2000. http://deposit.ddb.de/cgi-bin/dokserv?idn=960147535.

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10

Kowalewski, Jacob. "Mathematical Models in Cellular Biophysics." Licentiate thesis, KTH, Applied Physics, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-4361.

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<p>Cellular biophysics deals with, among other things, transport processes within cells. This thesis presents two studies where mathematical models have been used to explain how two of these processes occur.</p><p>Cellular membranes separate cells from their exterior environment and also divide a cell into several subcellular regions. Since the 1970s lateral diffusion in these membranes has been studied, one the most important experimental techniques in these studies is <i>fluorescence recovery after</i> <i>photobleach</i> (FRAP). A mathematical model developed in this thesis describes how dop

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11

Sherratt, Jonathan Adam. "Mathematical models of wound healing." Thesis, University of Oxford, 1991. https://ora.ox.ac.uk/objects/uuid:4e3ea7dd-33c6-4696-a2ec-aa3499c8b3f6.

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The complex mechanisms responsible for mammalian wound healing raise many biological questions that are amenable to theoretical investigation. In the first part of this thesis, we consider the role of mitotic auto-regulation in adult epidermal wound healing. We develop a reaction-diffusion model for the healing process, with parameter values based on biological data. The model solutions compare well with experimental results on the normal healing of circular wounds, and we analyse the solutions in one spatial dimension as travelling waves. We then use the model to perform 'mathematical experim

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12

Sanz-Alonso, Daniel. "Assimilating data into mathematical models." Thesis, University of Warwick, 2016. http://wrap.warwick.ac.uk/83231/.

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Chapter 1 is a brief overview of the Bayesian approach to blending mathematical models with data. For this introductory chapter, I do not claim any originality in the material itself, but only in the presentation, and in the choice of contents. Chapters 2, 3 and 4 are transcripts of published and submitted papers, with minimal cosmetic modifications. I now detail my contributions to each of these papers. Chapter 2 is a transcript of the published paper Long-time Asymptotics of the Filtering Distribution for Partially Observed Chaotic Dynamical Systems" [Sanz-Alonso and Stuart, 2015] written in

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13

Casarin, Stefano. "Mathematical models in computational surgery." Thesis, La Rochelle, 2017. http://www.theses.fr/2017LAROS008/document.

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La chirurgie informatisée est une science nouvelle dont le but est de croiser la chirurgie avec les sciences de l’informatique afin d’aboutir à des améliorations significatives dans les deux domaines. Avec l’évolution des nouvelles techniques chirurgicales, une collaboration étroite entre chirurgiens et chercheurs est devenue à la fois inévitable et essentielle à l’optimisation des soins chirurgicaux. L’utilisation de modèles mathématiques est la pierre angulaire de ce nouveau domaine. Cette thèse démontre comment une approche systématique d’un problème clinique nous a amenés à répondre à des

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14

Campanelli, Mark Benjamin. "Multicellular mathematical models of somitogenesis." Thesis, Montana State University, 2009. http://etd.lib.montana.edu/etd/2009/campanelli/CampanelliM0809.pdf.

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Somitogenesis is an important pattern formation process in the developmental biology of vertebrates. The phenomenon has received wide attention from experimental, theoretical, and computational biologists. Numerous mathematical models of the process have been proposed, with the clock and wavefront mechanism rising to prominence over the last ten years. This work presents two multicellular mathematical models of somitogenesis. The first is a phenomenological phase oscillator model that reproduces both the clock and wavefront aspects of somitogenesis, but lacks a biological basis. The second is

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15

Lee, Yiu-fai. "Some mathematical models on genetics." Click to view the E-thesis via HKUTO, 2006. http://sunzi.lib.hku.hk/hkuto/record/B3687744X.

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16

Arnaout, Ramy A. "Mathematical models of antiviral immunity." Thesis, University of Oxford, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.325989.

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17

White, Gordon Sutherland. "Mathematical models of screen printing." Thesis, University of Oxford, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.437003.

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18

Young, Alan. "Mathematical models for active landfills." Thesis, University of Oxford, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.237833.

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19

Hinch, Robert. "Mathematical models of the heart." Thesis, University of Oxford, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.270632.

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20

Lee, Yiu-fai, and 李耀暉. "Some mathematical models on genetics." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2006. http://hub.hku.hk/bib/B3687744X.

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21

Nedelcu, Sorin. "Mathematical models for financial bubbles." Diss., Ludwig-Maximilians-Universität München, 2014. http://nbn-resolving.de/urn:nbn:de:bvb:19-178610.

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Financial bubbles have been present in the history of financial markets from the early days up to the modern age. An asset is said to exhibit a bubble when its market value exceeds its fundamental valuation. Although this phenomenon has been thoroughly studied in the economic literature, a mathematical martingale theory of bubbles, based on an absence of arbitrage has only recently been developed. In this dissertation, we aim to further contribute to the developement of this theory. In the first part we construct a model that allows us to capture the birth of a financial bubble and to describ

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22

Duckworth, Julia Kate. "Mathematical models for real options." Thesis, University of Newcastle Upon Tyne, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.394677.

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23

Parsons, R. W. "Mathematical models of chemical reactions." Thesis, Bucks New University, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.371228.

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24

Bate, Andrew M. "Mathematical models in eco-epidemiology." Thesis, University of Bath, 2014. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.616875.

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Diseases have the capacity to not only influence the dynamics of their hosts, but also interacting species like predators, prey and competitors. Likewise, interacting species can influence disease dynamics by altering the host's dynamics. The combination of these two effects is often called eco-epidemiology, the interaction of ecology and epidemiology. In this thesis, we explore this interplay of infectious diseases and predator--prey interactions, where the predator is a specialist. We start with an introductory chapter on modelling eco-epidemiology, with a particular focus on the myriad of d

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25

Herterich, James George. "Mathematical models in water filtration." Thesis, University of Oxford, 2015. https://ora.ox.ac.uk/objects/uuid:73036408-fbc5-497a-a99f-b8da3dbca0a5.

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Membrane filtration is a simple concept for water purification: water containing particulate contaminants is forced through a semi-permeable membrane that rejects the particulates leaving clean water to flow out. Nevertheless, there are many complex features of membrane filtration, the most important of which is the accumulation of the particulates at the membrane surface. This leads ultimately to fouling of the membrane and a reduction in the efficiency of the process. Concentration polarization is the precursor of fouling, that is, a high concentration of contaminants develops in front of th

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26

V, Kushnir O. "Exponential Functions as Mathematical Models." Thesis, National Aviation University, 2021. https://er.nau.edu.ua/handle/NAU/50740.

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1. Higher mathematics: manual / V. P. Denisiuk, V. M. Bobkov, L. I. Grishina and others. –K. : NAU, 2006. – Part 1. – 268 p. 2. Larson R. College Algebra / R. Larson, R. Hosteller. – Houghton Mifflin, 1997. – 545 p. 3. Mizrahi A. Calculus and Analytic Geometry / A. Mizrahi, M. Sullivan. – California: Wadsmonth Publishing Company, 1987. – 1083 p.<br>Exponential functions are useful in modeling many physical phenomena, such as populations, interest rates, radioactive decay, and the amount of medicine in the bloodstream. An exponential model is of the form A = A_0×bˆ(t/c) , w

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27

Conrad, Emery David. "Mathematical Models of Biochemical Oscillations." Thesis, Virginia Tech, 1999. http://hdl.handle.net/10919/32781.

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The goal of this paper is to explain the mathematics involved in modeling biochemical oscillations. We first discuss several important biochemical concepts fundamental to the construction of descriptive mathematical models. We review the basic theory of differential equations and stability analysis as it relates to two-variable models exhibiting oscillatory behavior. The importance of the Hopf Bifurcation will be discussed in detail for the central role it plays in limit cycle behavior and instability. Once we have exposed the necessary mathematical framework, we consider several specific mode

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28

Atkinson, Michael Philip. "Mathematical models of terror interdiction /." May be available electronically:, 2009. http://proquest.umi.com/login?COPT=REJTPTU1MTUmSU5UPTAmVkVSPTI=&clientId=12498.

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29

Kumbhari, Adarsh. "Mathematical models of cellular dysfunction." Thesis, University of Sydney, 2020. https://hdl.handle.net/2123/23711.

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Mathematical models provide a framework to confirm or reject hypotheses via the generation of quantitative predictions and offer rich insights into the processes that drive complex biological phenomena. In this thesis, we develop mathematical models that integrate experimental data and use these models to explore cellular dysfunction at different scales. The core of this thesis focuses on the selection of high-avidity T cells in cancer vaccines. High-avidity T cells, unlike low-avidity T cells, are adept at killing cancer cells and are essential for durable anti-tumour immunity. Using an ordi

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30

Seacrest, Tyler. "Mathematical Models of Image Processing." Scholarship @ Claremont, 2006. https://scholarship.claremont.edu/hmc_theses/188.

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The purpose of this thesis is to develop various advanced linear algebra techniques that apply to image processing. With the increasing use of computers and digital photography, being able to manipulate digital images efficiently and with greater freedom is extremely important. By applying the tools of linear algebra, we hope to improve the ability to process such images. We are especially interested in developing techniques that allow computers to manipulate images with the least amount of human guidance. In Chapter 2 and Chapter 3, we develop the basic definitions and linear algebra concepts

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31

El-Hachem, Maud. "Mathematical models of biological invasion." Thesis, Queensland University of Technology, 2022. https://eprints.qut.edu.au/232864/1/Maud_El-Hachem_Thesis.pdf.

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This thesis studies mathematical models of a population of cells invading the surrounding environment or another living population. A classical single-species model is reformulated using a moving boundary to track the position of the moving front of the invading population. The moving boundary is also used to separate two populations. Other models studied are coupled partial differential equations to describe the interaction of a population with another one. Different types of interaction are represented: the degradation of healthy skin by cancer and the growth of bone tissue on substrate.

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32

Cuppini, Cristiano <1977&gt. "Mathematical models of cognitive processes." Doctoral thesis, Alma Mater Studiorum - Università di Bologna, 2009. http://amsdottorato.unibo.it/1690/1/Cuppini_Cristiano_tesi.pdf.

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The research activity carried out during the PhD course was focused on the development of mathematical models of some cognitive processes and their validation by means of data present in literature, with a double aim: i) to achieve a better interpretation and explanation of the great amount of data obtained on these processes from different methodologies (electrophysiological recordings on animals, neuropsychological, psychophysical and neuroimaging studies in humans), ii) to exploit model predictions and results to guide future research and experiments. In particular, the research activity h

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33

Cuppini, Cristiano <1977&gt. "Mathematical models of cognitive processes." Doctoral thesis, Alma Mater Studiorum - Università di Bologna, 2009. http://amsdottorato.unibo.it/1690/.

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Анотація:

The research activity carried out during the PhD course was focused on the development of mathematical models of some cognitive processes and their validation by means of data present in literature, with a double aim: i) to achieve a better interpretation and explanation of the great amount of data obtained on these processes from different methodologies (electrophysiological recordings on animals, neuropsychological, psychophysical and neuroimaging studies in humans), ii) to exploit model predictions and results to guide future research and experiments. In particular, the research activity h

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34

Wares, Arsalan Jones Graham A. Cottrill James F. "Middle school students' construction of mathematical models." Normal, Ill. Illinois State University, 2001. http://wwwlib.umi.com/cr/ilstu/fullcit?p3064487.

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Thesis (Ph. D.)--Illinois State University, 2001.<br>Title from title page screen, viewed March 30, 2006. Dissertation Committee: Graham A. Jones, James Cottrill (co-chairs), Linnea Sennott. Includes bibliographical references (leaves 107-111) and abstract. Also available in print.

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35

Wu, Yilin. "Mathematical Models of Biofilm in Various Environments." Diss., Temple University Libraries, 2019. http://cdm16002.contentdm.oclc.org/cdm/ref/collection/p245801coll10/id/582206.

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Mathematics<br>Ph.D.<br>Microbial biofilms are defined as clusters of microbial cells living in self-produced extracellular polymeric substances (EPS), which always attached to various kinds of surfaces. In this thesis, we studied several mathematical models of biofilm in the human body and marble environment. Some related background of biofilm growth and some basic existing numerical models were introduced in the first chapter. In the first project, we introduced how biofilm affects the local oxygen concentration near the neutrophil cells in the human body with three one-dimensional reaction-

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36

Delgado, San Martin Juan A. "Mathematical models for preclinical heterogeneous cancers." Thesis, University of Aberdeen, 2016. http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?pid=230139.

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Cancer is a deadly, complex disease with 14 million new cases diagnosed every year and the endeavour to develop a cure is a global multidisciplinary effort. The complexity of cancer and the resulting vast volume of data derived from its research necessitates a robust and cutting-edge system of mathematical and statistical modelling. This thesis proposes novel mathematical models of quantification and modelling applied to heterogeneous preclinical cancers, focusing on the translation of animal studies into patients with particular emphasis on tumour stroma. The first section of this thesis (qua

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37

Scott, Michael Francis. "Mathematical models of life cycle evolution." Thesis, University of British Columbia, 2016. http://hdl.handle.net/2429/59426.

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In this thesis, I investigate several aspects of life cycle evolution using mathematical models. (1) We expect natural selection to favour organisms that reproduce as often and as quickly as possible. However, many species delay development unless particular environments or rare disturbance events occur. I use models to ask when delayed development (e.g., seed dormancy) in long-lived species can be favoured by selection. I find that long-lived plants experience `immaturity risk': the risk of death due to a population-scale disturbance, such as a fire, before reproducing. This risk can be suffi

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38

Nani, Frank Kofi. "Mathematical models of chemotherapy and immunotherapy." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk2/tape15/PQDD_0012/NQ34816.pdf.

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39

Aravindakshan, Ashwin. "Advances in mathematical models in marketing." College Park, Md. : University of Maryland, 2007. http://hdl.handle.net/1903/6752.

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Анотація:

Thesis (Ph. D.) -- University of Maryland, College Park, 2007.<br>Thesis research directed by: Business and Management: Marketing. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.

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40

Hall, Fenella T. H. "Mathematical models for class-D amplifiers." Thesis, University of Nottingham, 2011. http://eprints.nottingham.ac.uk/11891/.

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We here analyse a number of class-D amplifier topologies. Class-D amplifiers operate by converting an audio input signal into a high-frequency square wave output, whose lower-frequency components can accurately reproduce the input. Their high power efficiency and potential for low distortion makes them suitable for use in a wide variety of electronic devices. By calculating the outputs from a classical class-D design implementing different sampling schemes we demonstrate that a more recent method, called the Fourier transform/Poisson resummation method, has many advantages over the double Four

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41

Hameister, Heike. "Mathematical models for DNA replication machinery." Thesis, University of Aberdeen, 2012. http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?pid=186178.

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DNA replication and associated processes take place in all living organisms with the same constitutions. The knowledge of the duplication process, chromatin building and repair mechanisms has increased explosively over the last years, but the complex interplay of different proteins and their mechanisms are not conceived properly. During DNA replication, the DNA has to be unpacked, duplicated and finally repacked into chromatin. These steps require different proteins, e.g. new histone proteins on demand to secure an error-free and undelayed DNA replication. This thesis includes different mathem

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42

Waugh, Helen Victoria. "Mathematical models of diabetic wound healing." Thesis, Heriot-Watt University, 2007. http://hdl.handle.net/10399/99.

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43

Lee, M. E. M. "Mathematical models of the carding process." Thesis, University of Oxford, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.249543.

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Carding is an essential pre-spinning process whereby masses of dirty tufted fibres are cleaned, disentangled and refined into a smooth coherent web. Research and development in this `low-technology' industry have hitherto depended on empirical evidence. In collaboration with the School of Textile Industries at the University of Leeds, a mathematical theory has been developed that describes the passage of fibres through the carding machine. The fibre dynamics in the carding machine are posed, modelled and simulated by three distinct physical problems: the journey of a single fibre, the extracti

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44

Booton, Ross D. "Mathematical models of stress and epidemiology." Thesis, University of Sheffield, 2018. http://etheses.whiterose.ac.uk/22549/.

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45

Mohd, Jaffar Mai. "Mathematical models of hyphal tip growth." Thesis, University of Dundee, 2012. https://discovery.dundee.ac.uk/en/studentTheses/140f9a81-12ca-4337-a311-2f82441f1ea6.

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Filamentous fungi are important in an enormous variety of ways to our life, with examples ranging from bioremediation, through the food and drinks industry to human health. These organisms can form huge networks stretching metres and even kilometres. However, their mode of growth is by the extension of individual hyphal tips only a few microns in diameter. Tip growth is mediated by the incorporation of new wall building materials at the soft apex. Just how this process is controlled (in fungi and in cell elongation in other organisms) has been the subject of intense study over many years and h

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46

Jones, Hannah Elizabeth Mary. "Mathematical models for red squirrel conservation." Thesis, Heriot-Watt University, 2017. http://hdl.handle.net/10399/3340.

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In this thesis we develop mathematical models to understand the process of ecological invasion when the invading species also carries a disease that is harmful to the native species. In particular we focus on a key case study system of the invasion of grey squirrels and replacement of red squirrels in the UK, in which the shared disease, squirrelpox, has been suggested as a key driver of the rapid expansion of grey squirrels. Our initial study focused on examining the viability of red squirrels in the stronghold forests of Kidland and Uswayford in Northumberland. These are commercially managed

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Putyatin, Vladislav Evgenievich. "Mathematical models for derivative securities markets." Thesis, University of Southampton, 1998. https://eprints.soton.ac.uk/50648/.

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The classical Black-Scholes analysis determines a unique, continuous, trading strategy which allows one to hedge a financial option perfectly and leads to a unique price for the option. It assumes, however, that there are no transaction costs involved in implementing this strategy, and the stock market is absolutely liquid. In this work some new results are obtained to accommodate costs of hedging, which occur in practice, and market imperfections into the option pricing framework. In Part One transaction charges are dealt with by means of the mean-variance technique, originally developed by M

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48

Guedes, Maria do Carmo Vaz de Miranda. "Mathematical models in capital investment appraisal." Thesis, University of Warwick, 1988. http://wrap.warwick.ac.uk/107492/.

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Oduro, Bismark. "Mathematical Models of Triatomine (Re)infestation." Ohio University / OhioLINK, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1458563770.

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50

Moore, Matthew Richard. "New mathematical models for splash dynamics." Thesis, University of Oxford, 2014. http://ora.ox.ac.uk/objects/uuid:c94ff7f2-296a-4f13-b04b-e9696eda9047.

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In this thesis, we derive, extend and generalise various aspects of impact theory and splash dynamics. Our methods throughout will involve isolating small parameters in our models, which we can utilise using the language of matched asymptotics. In Chapter 1 we briefly motivate the field of impact theory and outline the structure of the thesis. In Chapter 2, we give a detailed review of classical small-deadrise water entry, Wagner theory, in both two and three dimensions, highlighting the key results that we will use in our extensions of the theory. We study oblique water entry in Chapter 3, in

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