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Dissertations / Theses on the topic 'Pattern formation'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Parrott, J. A. "Pattern formation in soils." Thesis, University of Bristol, 2010. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.520596.

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2

Sumner, Robert Walker 1975. "Pattern formation in lichen." Thesis, Massachusetts Institute of Technology, 2001. http://hdl.handle.net/1721.1/86757.

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Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2001.<br>Includes bibliographical references (p. 73-76).<br>by Robert Walker Sumner.<br>S.M.

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3

Bowman, Christopher 1969. "Pattern formation and wavelets." Diss., The University of Arizona, 1997. http://hdl.handle.net/10150/288741.

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This thesis is a collection of results associated with pattern formation, and consists of several novel results. A multi-scale analysis is carried out near the lasing bifurcation on equations which model the free carrier semiconductor laser. This analysis produces an amplitude equation which resembles the Swift-Hohenberg equation derived for the simpler two level laser, but with extra terms arising from the more complicated semiconductor system. New results are also presented in the analysis of phase equations for patterns, showing that defects are weak solutions of the phase diffusion equatio

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4

Duran, Nebreda Salvador 1987. "Artificial multicellularity and pattern formation." Doctoral thesis, Universitat Pompeu Fabra, 2016. http://hdl.handle.net/10803/403584.

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En aquesta tesi hem intentat atacar preguntes relacionades amb els orígens de la vida multicel•lular i dels comportaments cooperatius a la nostra biosfera. Particularment hem fet ús de mètodes “no naturals”: la vida artificial i la biologia sintètica. A diferencia dels enfocs més tradicionals com la caracterització filogenètica i la biologia teòrica, aquests mètodes permeten observar les transicions en individualitat i complexitat a mesura que tenen lloc. Més concretament, en aquest projecte hem proposat noves regles per aconseguir sistemes de trencament de simetria espacial i com la multicel•

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5

Katsev, Sergei. "Pattern formation in geochemical systems." Thesis, University of Ottawa (Canada), 2002. http://hdl.handle.net/10393/6237.

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Compositional patterns are extremely common in natural minerals. While, in many cases, variations in the solid mineral composition reflect the external changes in the environment at the time of the mineral formation, the role of self-organization is increasingly acknowledged. For example, in reaction-transport systems, the patterns may form spontaneously from an unpatterned state at the time of crystal growth and then become preserved by being "frozen" in the solid mineral. In this work, the pattern formation by self-organization is investigated by means of model construction and computer simu

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6

Stannard, Andrew David. "Pattern Formation in Nanostructured Systems." Thesis, University of Nottingham, 2009. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.523471.

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7

McIntyre, Ross. "Pattern formation in nonlinear optics." Thesis, Heriot-Watt University, 1996. http://hdl.handle.net/10399/716.

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8

Welford, Chris. "The evolution of pattern formation." Thesis, University of Sheffield, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.364296.

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9

Denton, Richard Frederick Roger James. "Pattern formation from chemical oscillators." Thesis, University of Edinburgh, 2009. http://hdl.handle.net/1842/13622.

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10

Jhugroo, Eric. "Pattern formation in squares and rectangles." Thesis, City, University of London, 2007. http://openaccess.city.ac.uk/18271/.

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This thesis considers pattern formation governed by the two dimensional Swift-Hohenberg equation in square and rectangular domains. For the square, the dependence of the solution on the size of the square relative to the characteristic wavelength of the pattern is investigated for periodic, non-periodic (rigid) and quasi-periodic boundary conditions. Linear and weakly nonlinear analysis is used together with numerical computation to identify the bifurcation structure of steady-state solutions and to track their nonlinear development as a function of the control parameter. Nonlinear solutions a

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11

Wang, Lei. "Pattern formation in mesophase carbon fibers." Thesis, McGill University, 1996. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=24045.

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The principles governing pattern formation in discotic nematic liquid crystalline fibers subjected to uniaxial extensional flows are established. Computational and analytical methods are used in conjunction with bifurcational techniques to simulate the structural characteristics of the orientational patterns that arise by stretching discotic nematic liquid crystalline materials. The analytical and numerical results are in excellent agreement with actual cross-sectional fiber textures obtained by melt spinning carbonaceous mesophases. This work reproduces the main structural features of the osc

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12

Crawford, David Michael. "Analysis of biological pattern formation models." Thesis, University of Oxford, 1989. http://ora.ox.ac.uk/objects/uuid:aaa19d3b-c930-4cfa-adc6-8ea498fa5695.

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In this thesis we examine mathematical models which have been suggested as possibile mechanisms for forming certain biological patterns. We analyse them in detail attempting to produce the requisite patterns both analytically and numerically. A reaction diffusion system in two spatial dimensions with anisotropic diffusion is examined in detail and the results compared with certain snakeskin patterns. We examine two other variants to the standard reaction diffusion system: a system where the reaction kinetics and the diffusion coefficients depend upon the cell density suggested as a possible mo

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13

Ren, Xiaojing, and 任晓晶. "Modeling pattern formation of swimming E.coli." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2010. http://hub.hku.hk/bib/B43704001.

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14

Winterbottom, David Mark. "Pattern formation with a conservation law." Thesis, University of Nottingham, 2006. http://eprints.nottingham.ac.uk/10180/.

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The evolution of many pattern-forming systems is strongly influenced by the presence of a conserved quantity. Diverse physical phenomena such as magnetoconvection, rotating fluid convection, binary fluid convection, vibrated granular and fluid layers, filament dynamics and sandbank formation, all possess a conservation law which plays a central role in their nonlinear dynamics. In this thesis, this influence of a conserved quantity is examined through analyses of three distinct pattern-formation problems. Firstly, the consequences of conservation of mass are investigated in a phenomenological

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15

Cruywagen, Gerhard C. "Tissue interaction and spatial pattern formation." Thesis, University of Oxford, 1992. http://ora.ox.ac.uk/objects/uuid:f242b785-9b46-4c21-a789-477b025ce4b3.

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The development of spatial structure and form on vertebrate skin is a complex and poorly understood phenomenon. We consider here a new mechanochemical tissue interaction model for generating vertebrate skin patterns. Tissue interaction, which plays a crucial role in vertebrate skin morphogenesis, is modelled by reacting and diffusing signal morphogens. The model consists of seven coupled partial differential equations, one each for dermal and epidermal cell densities, four for the signal morphogen concentrations and one for describing epithelial mechanics. Because of its complexity, we reduce

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16

COLOMBO, EDUARDO HENRIQUE FILIZZOLA. "SPATIAL PATTERN FORMATION IN POPULATION DYNAMICS." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2014. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=24777@1.

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PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO<br>COORDENAÇÃO DE APERFEIÇOAMENTO DO PESSOAL DE ENSINO SUPERIOR<br>FUNDAÇÃO DE APOIO À PESQUISA DO ESTADO DO RIO DE JANEIRO<br>PROGRAMA DE SUPORTE À PÓS-GRADUAÇÃO DE INSTS. DE ENSINO<br>BOLSA NOTA 10<br>Motivado pela riqueza de fenômenos produzidos pelos seres vivos, este trabalho busca estudar a formação de padrões espaciais de populações biológicas. De um ponto de vista mesoscópico, definimos os processos básicos que podem ocorrer na dinâmica, construindo uma equação diferencial parcial para a evolução da distribuição da população. Essa equa

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17

Malheiros, Marcelo de Gomensoro. "The mechanochemical basis of pattern formation." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2017. http://hdl.handle.net/10183/169104.

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Esta tese de doutorado descreve um novo modelo para o acoplamento de difusão química contínua e eventos celulares discretos dentro de um ambiente de simulação biologicamente inspirado. Nosso objetivo é definir e explorar um conjunto minimalista de recursos que também são expressivos, permitindo a criação de padrões 2D complexos usando apenas poucas regras. Por não nos restringirmos a uma grade estática ou regular, mostramos que muitos fenômenos diferentes podem ser simulados, como sistemas tradicionais de reação-difusão, autômatos celulares e padrões de pigmentação de seres vivos. Em particula

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18

Ren, Xiaojing. "Modeling pattern formation of swimming E.coli." Click to view the E-thesis via HKUTO, 2010. http://sunzi.lib.hku.hk/hkuto/record/B43704001.

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19

Sun, Zhiying. "Pattern formation and evolution on plants." Diss., The University of Arizona, 2009. http://hdl.handle.net/10150/194905.

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Phyllotaxis, namely the arrangement of phylla (leaves, florets, etc.) has intrigued natural scientists for over four hundred years. Statistics show that about 90\% of the spiral patterns has their numbers of spirals belonging to two consecutive members of the regular Fibonacci sequence. (Fibonacci(-like) sequences refer to any sequences constructed with the addition rule $a_{j+2}=a_{j}+a_{j+1}$, while the regular Fibonacci sequence refers to the particular sequences 1,1,2,3,5,8,13,...) Historical research on pattern formation on plants, tracing back to as early as four hundred years ago, was m

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20

Condette, Nicolas. "Pattern formation in magnetic thin films." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, 2011. http://dx.doi.org/10.18452/16336.

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Die vorliegende Arbeit beschäftigt sich mit einer Klasse von Variationsproblemen, die im Kontext des Ferromagnetismus entstehen. Es soll hierbei ein numerischer und analytischer Hintergrund zur Behandlung von harten magnetischen dünnen Filmen mit senkrechter Anisotropie gegeben werden. Bei magnetischen dünnen Filmen handelt es sich um Schichten von magnetischen Materialien mit Dicken von wenigen Mikrometern bis hin zu einigen Nanometern. Ausgangspunkt der Betrachtungen ist ein Modell von Landau und Lifshitz, das die Grundzustände der Magnetisierung in einem dreidimensionalen Körpers mit den

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21

Bose, Sumit. "Pattern formation at semiconductor interfaces and surfaces." [S.l.] : [s.n.], 2001. http://edocs.tu-berlin.de/diss/2000/bose_sumit.pdf.

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22

Beato, Valentina. "Noise-induced pattern formation in excitable media." [S.l.] : [s.n.], 2006. http://opus.kobv.de/tuberlin/volltexte/2007/1419.

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23

Myerscough, Mary Ruth. "A chemotactic model of biological pattern formation." Thesis, University of Oxford, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.329983.

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24

Martin, Christopher Paul. "Pattern formation in self-organised nanoparticle assemblies." Thesis, University of Nottingham, 2007. http://eprints.nottingham.ac.uk/10772/.

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An extremely wide variety of self-organised nanostructured patterns can be produced by spin-casting solutions of colloidal nanoparticles onto solid substrates. This is an experimental regime that is extremely far from thermodynamic equilibrium, due to the rapidity with which the solvent evaporates. It is the dynamics of ﬂow and evaporation that lead to the formation of the complex structures that are observed by atomic force microscopy (AFM). The mechanisms involved in the formation of these patterns are not yet fully understood, largely because it is somewhat challenging to directly observe t

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25

Tse, Dawn Po-Ling. "Spatial period-multiplying bifurcations in pattern formation." Thesis, University of Cambridge, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.616060.

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26

Feugier, François Gabriel. "Models of vascular pattern formation in leaves." Paris 6, 2006. http://www.theses.fr/2006PA066506.

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J’étudie la formation du système vasculaire des feuilles des plantes à l’aide de modèles mathématiques. L’hypothèse de canalisation d’une phytohormone, l’auxin, stipule que l’auto activation de son transport entre les cellules crée des chemins préférentiels qui se différencieront plus tard en système vasculaire. J’entreprends une analyse numérique de modèles de canalisation sur une grande matrice, et parviens à créer des motifs branchés dans lesquels circule l’auxin. Une analyse de stabilité d’un modèle simplifié nous éclaire sur les raisons de la formation de ces motifs et l’impossibilité de

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27

Rinaldi, Matteo. "Dynamics of Phase Separation and Pattern Formation." Research Showcase @ CMU, 2017. http://repository.cmu.edu/dissertations/946.

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The focus of this thesis is the study of the evolution of two models adopted in the context of phase separation and pattern formation, the Cahn-Hilliard model and the Swift-Hohenberg model. In the study of the Cahn-Hilliard model, the PDEs arising as the L2 and H-1 gradient flows in the higher dimensional setting n > 1 are studied, and estimates are provided on the evolution of solutions initiated close to configurations that globally or locally minimize the perimeter of the interface are provided. The results rely on a new regularity property of a local version of the well-known isoperimetric

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28

Lam, Woon-Kwan. "Pattern formation in non-linear chemical systems." Ann Arbor, Mich. : ProQuest, 2007. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3288932.

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Thesis (Ph.D. in Applied Mathematics)--S.M.U., 2007.<br>Title from PDF title page (viewed Nov. 19, 2009). Source: Dissertation Abstracts International, Volume: 68-11, Section: B, page: 7376. Adviser: Peter K. Moore. Includes bibliographical references.

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29

Isomura, Akihiro. "Spatiotemporal pattern formation in cardiac cell culture." 京都大学 (Kyoto University), 2009. http://hdl.handle.net/2433/124393.

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30

Bertram, Matthias. "Controlling turbulence and pattern formation in chemical reactions." [S.l.] : [s.n.], 2002. http://deposit.ddb.de/cgi-bin/dokserv?idn=964948931.

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31

Plenge, Florian Moritz. "Theory of electrochemical pattern formation under global coupling." [S.l.] : [s.n.], 2003. http://deposit.ddb.de/cgi-bin/dokserv?idn=968694535.

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32

Moyles, Iain. "Hybrid asymptotic-numerical analysis of pattern formation problems." Thesis, University of British Columbia, 2015. http://hdl.handle.net/2429/53715.

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In this thesis we present an analysis of the Gierer-Meinhardt model with saturation (GMS) on various curve geometries in ℝ². We derive a boundary fitted coordinate framework which translates an asymptotic two-component differential equation into a single component reaction diffusion equation with singular interface conditions. We create a numerical method that generalizes the solution of such a system to arbitrary two-dimensional curves and show how it extends to other models with singularity properties that are related to the Laplace operator. This numerical method is based on integrating l

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33

Da, Rocha Miranda Pontes José. "Pattern formation in spatially ramped Rayleigh-Bénard systems." Doctoral thesis, Universite Libre de Bruxelles, 1994. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/212711.

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34

Teng, Jing. "Pattern formation and growth kinetics in eutectic systems." [Ames, Iowa : Iowa State University], 2007.

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35

Rogers, Jeffrey L. "Modulated pattern formation : stabilization, complex-order, and symmetry." Diss., Georgia Institute of Technology, 2001. http://hdl.handle.net/1853/30930.

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36

Bates, Wilfred Mark. "Pattern formation in models of charge density waves." Thesis, McGill University, 2000. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=31189.

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We investigate the phenomenon of phase organization in charge density waves. Coppersmith and Littlewood [87] have argued that charge density waves become organized into a "minimally stable" state when subject to a pulsed driving force. They have also proposed that the pulse duration memory effect, observed by Fleming and Schneemeyer [86], is evidence for this self organizing behaviour.<br>We review the microscopic origins of charge density waves, experimental results, and theoretical models of charge density waves. We also review theories of complex systems, and, in particular, the phase organ

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37

Lewis, Mark A. "Analysis of dynamic and stationary biological pattern formation." Thesis, University of Oxford, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.276976.

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38

Maini, P. K. "On mechano-chemical models for morphogenetic pattern formation." Thesis, University of Oxford, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.370285.

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39

Thompson, Alasdair Graham. "Lattice models of pattern formation in bacterial dynamics." Thesis, University of Edinburgh, 2012. http://hdl.handle.net/1842/6248.

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In this thesis I study a model of self propelled particles exhibiting run-and tumble dynamics on lattice. This non-Brownian diffusion is characterised by a random walk with a finite persistence length between changes of direction, and is inspired by the motion of bacteria such as Escherichia coli. By defining a class of models with multiple species of particle and transmutation between species we can recreate such dynamics. These models admit exact analytical results whilst also forming a counterpart to previous continuum models of run-and- tumble dynamics. I solve the externally driven non-in

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40

Siggers, Jennifer Helen. "Pattern formation in a cylinder, and related topics." Thesis, University of Cambridge, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.619819.

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41

Irvine, Michael Alastair. "Pattern formation and persistence in spatial plant ecology." Thesis, University of Warwick, 2014. http://wrap.warwick.ac.uk/67166/.

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The main aim of the thesis is to explore the interaction between pattern and process in vegetation ecology using a variety of mathematical and statistical methods. Of particular interest is what information about the dynamics of the underlying system can be gained through a single spatial snapshot, such as an aerial photograph or satellite image. The hypotheses are related to seagrass ecology, whose growth is primarily clonal and broadly exists as a monoculture and thus makes it an ideal candidate to study these interactions. The thesis broadly concerns two forms of spatial pattern and the und

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42

Hunt, Gordon S. "Mathematical modelling of pattern formation in developmental biology." Thesis, Heriot-Watt University, 2013. http://hdl.handle.net/10399/2706.

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The transformation from a single cell to the adult form is one of the remarkable wonders of nature. However, the fundamental mechanisms and interactions involved in this metamorphic change still remain elusive. Due to the complexity of the process, researchers have attempted to exploit simpler systems and, in particular, have focussed on the emergence of varied and spectacular patterns in nature. A number of mathematical models have been proposed to study this problem with one of the most well studied and prominent being the novel concept provided by A.M. Turing in 1952. Turing's simple yet el

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43

Acharya, Gyanu R. "Electroconvection and Pattern Formation in Nematic Liquid Crystals." Kent State University / OhioLINK, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=kent1239804049.

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Degen, Michael Merle. "Time-dependent pattern formation in fluid dynamical systems /." The Ohio State University, 1997. http://rave.ohiolink.edu/etdc/view?acc_num=osu148794815862621.

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Yang, Xige. "MATHEMATICAL MODELS OF PATTERN FORMATION IN CELL BIOLOGY." The Ohio State University, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=osu1542236214346341.

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46

Arouh, Scott. "Pattern formation and morphology transitions in bacterial systems /." Diss., Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC IP addresses, 2000. http://wwwlib.umi.com/cr/ucsd/fullcit?p9970683.

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47

Masson, Jean-Loup Didier. "Pattern formation and evolution in thin polymer films." Access restricted to users with UT Austin EID Full text (PDF) from UMI/Dissertation Abstracts International, 2001. http://wwwlib.umi.com/cr/utexas/fullcit?p3034981.

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48

Reed, Robert Dale Jr. "The evolution of pattern formation in butterfly wings." Diss., The University of Arizona, 2004. http://hdl.handle.net/10150/290156.

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In this dissertation I employ a comparative gene expression approach to address the evolution of butterfly wing pattern formation at several levels, with emphasis on early pattern determination and pigment gene regulation during late development. Expression analysis of the receptor molecule Notch suggested previously unknown roles for Notch signaling in butterfly wing patterning. Notch upregulation was found to precede the activation of the transcription factor Distal-less during early eyespot color pattern determination. A phylogenetic comparison of expression time series from multiple moth a

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Mulholland, Anthony J. "The Eikonal approach to reaction-diffusion equations in multiply-connected domains." Thesis, Glasgow Caledonian University, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.359146.

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Formosa, Jordan Pau. "Pattern formation through lateral inhibition mediated by Notch signaling." Doctoral thesis, Universitat de Barcelona, 2013. http://hdl.handle.net/10803/116495.

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Multicellular organisms are constituted by different kinds of cells which are arranged in a particular way, forming tissues with specific functions. The organization of these different cells can give rise to regular spatiotemporal patterns. In this Thesis we evaluate from a theoretical perspective the effects of different regulatory elements of the Notch signaling pathway in lateral inhibition patterning. These new elements under study are motivated by recent experimental observations. For studying them, we reformulate a phenomenological model proposed by Collier and colleagues (1996). Our mo

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