Dissertations / Theses on the topic 'Mathematical and computational ophthalmology'
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Andrews, Brian. "Computational Solutions for Medical Issues in Ophthalmology." Case Western Reserve University School of Graduate Studies / OhioLINK, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=case15275972120621.
Full textMacdougall, Lindsey C. "Mathematical modelling of retinal metabolism." Thesis, University of Nottingham, 2015. http://eprints.nottingham.ac.uk/30615/.
Full textCasarin, Stefano. "Mathematical models in computational surgery." Thesis, La Rochelle, 2017. http://www.theses.fr/2017LAROS008/document.
Full textComputational surgery is a new science that aims to intersect surgery and computational sciences in order to bring significant improvements in both fields. With the evolution of new surgical techniques, a close collaboration between surgeons and computational scientists became unavoidable and also essential to optimize surgical care. A large usage of mathematical models is the cornerstone in this new field. The present thesis shows how a systematic approach to a clinical problem brought us to answer open questions in the field of surgery by using mathematical models on a large scale. In general, our approach includes (i) an overview of the problem, (ii) the individuation of which physiological system/s is/are to be studied to address the question, and (iii) a mathematical modeling effort, which has been always driven by the pursue of a compromise between system complexity and closeness to the physiological reality. In the first part, we focused on the optimization of the boundary conditions to be applied to a bioreactor used to re-populate lung tissue from donor. A geometrical model of tracheobronchial tree combined with a solute deposition model allowed us to retrieve the set of pressures to be applied to the pumps serving the bioreactor in order to reach an optimal distribution of nourishment across the lung scaffold. In the second part, we focused on the issue of post-surgical restenosis of vein grafts used to bypass arterial occlusions. We replicated the event of restenosis with several mathematical models that allow us to study the clinical evidences and to test hypothesis with an escalating level of complexity and accuracy. Finally, we developed a solid framework to test the effect of gene therapies aimed to limit the restenosis. Interestingly, we found that by controlling a specific group of genes, the lumen patency is double after a month of follow-up. With the results achieved, we proved how mathematical modeling can be used as a powerful tool for surgical innovation
He, Xiaoyin. "CHARACTERIZATION OF CORNEAL BIOMECHANICAL PROPERTIES USING EXPERIMENTAL AND COMPUTATIONAL METHODS." The Ohio State University, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=osu1280178567.
Full textBaker, Nathan Andrew. "Mathematical and computational modeling of biomolecular systems /." Diss., Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC campuses, 2001. http://wwwlib.umi.com/cr/ucsd/fullcit?p3007138.
Full textRemias, Michael George. "Computational studies of some fuzzy mathematical problems." Thesis, Curtin University, 2012. http://hdl.handle.net/20.500.11937/1147.
Full textThorn, Graeme John. "Mathematical and computational modelling of friction stir welding." Thesis, University of Cambridge, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.426545.
Full textSouthern, James Alastair. "Mathematical and computational modelling of ultrasound elasticity imaging." Thesis, University of Oxford, 2006. http://ora.ox.ac.uk/objects/uuid:242fddf0-ef9c-4a90-88f5-c7b41f4bda5a.
Full textGIRIBONE, PIER GIUSEPPE. "Mathematical modeling in Quantitative Finance and Computational Economics." Doctoral thesis, Università degli studi di Genova, 2021. http://hdl.handle.net/11567/1046108.
Full textDutta, Jayanta. "Computational aspects of some mathematical and numerical problems." Thesis, University of North Bengal, 2015. http://ir.nbu.ac.in/handle/123456789/1850.
Full textStahl, Levi Russell. "OBJECT ORIENTED DEVELOPMENT OF A MATHEMATICAL EQUATION EDITOR." MSSTATE, 2005. http://sun.library.msstate.edu/ETD-db/theses/available/etd-07062005-173340/.
Full textPersson, Mikael. "Cableharness selection for gearboxes using mathematical optimization." Thesis, KTH, Optimeringslära och systemteori, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-209929.
Full textScanias modulsystem gör att tusentals olika växellådsvarianter är möjliga att tillverka. Om varje växellådsvariant skall ha ett eget kablage leder detta till stora lagerhållnings- och produktionskostnader. Det är därför fördelaktigt om man kan hitta en mindre uppsättning kablage som uppfyller kraven för alla växellådor. Två modeller inom matematisk optimering presenteras för att uppnå målet samtidigt som kostnader för lagerhållning och produktion minimeras. Vidare föreslås en metod för att dela upp problemet i delproblem utan att noggrannheten minskar. Vi visar även hur lösningen från den första modellen kan användas som varmstart till den andra modellen. Fokus är på kablage för växellådor till Scanias lastbilar. Resultat från test av modellerna med data från Scanias produktion presenteras. Resultaten visar på att en betydande besparing är möjlig. Rapportens slutsatser kan även användas i liknande situationer, till exempel motorstyrsystem och andra elsystem i fordon.
Jaroudi, Rym. "Inverse Mathematical Models for Brain Tumour Growth." Licentiate thesis, Linköpings universitet, Tekniska fakulteten, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-141982.
Full textSawko, Robert. "Mathematical and computational methods of non-Newtonian, multiphase flows." Thesis, Cranfield University, 2012. http://dspace.lib.cranfield.ac.uk/handle/1826/7264.
Full textKelly, David. "Computational mechanics in practice : mathematical adaptions and experimental applications." Thesis, University of Bristol, 2011. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.570852.
Full textKaya, Ilhan. "Mathematical and Computational Methods for Freeform Optical Shape Description." Doctoral diss., University of Central Florida, 2013. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/5959.
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Doctorate
Electrical Engineering and Computing
Engineering and Computer Science
Computer Engineering
SANTOS, DEBORA ANDREA DE OLIVEIRA. "DECOMPOSITION IN MATHEMATICAL PROGRAMMING APPLIED TO COMPUTATIONAL GREEN NETWORKS." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2015. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=25702@1.
Full textThe growing energy consumption has already become a global concern and currently more than forty countries are involved in researches and programs in order to create mechanisms to save it. This work deals with the energy-aware Traffic Engineering problem applied to the backbone of an IP network in which the used routing protocol is a SPF (Shortest Path First) one, such as OSPF (Open Shortest Path First), for example. The proposed approach considers the problem of switching-off nodes (routers) and circuits, for energy saving; and it also considers the problem of ensuring a maximum utilization level by the circuits, towards to assure QoS requirements. In order to solve the optimization problem, rather than adopting heuristic methods, we propose the direct processing by means of Benders decomposition, crumbling a complicated and hard to solve problem into several smaller ones whose resolution is more simple and whose convergence is faster.
Chung, Andy Heung Wing. "Novel mathematical and computational approaches for modelling biological systems." Thesis, University of Sussex, 2016. http://sro.sussex.ac.uk/id/eprint/60405/.
Full textAhmed, Israr. "Mathematical and computational modelling of soft and active matter." Thesis, University of Central Lancashire, 2016. http://clok.uclan.ac.uk/18641/.
Full textRizzi, Barbara <1973>. "Bioimaging of animal embryogenesis: mathematical methods and computational algorithms." Doctoral thesis, Alma Mater Studiorum - Università di Bologna, 2009. http://amsdottorato.unibo.it/1658/1/Rizzi_Barbara_tesi.pdf.
Full textRizzi, Barbara <1973>. "Bioimaging of animal embryogenesis: mathematical methods and computational algorithms." Doctoral thesis, Alma Mater Studiorum - Università di Bologna, 2009. http://amsdottorato.unibo.it/1658/.
Full textPethiyagoda, Ravindra. "Mathematical and computational analysis of Kelvin ship wave patterns." Thesis, Queensland University of Technology, 2016. https://eprints.qut.edu.au/101167/1/Ravindra_Pethiyagoda_Thesis.pdf.
Full textWarne, David James. "Computational inference in mathematical biology: Methodological developments and applications." Thesis, Queensland University of Technology, 2020. https://eprints.qut.edu.au/202835/1/David_Warne_Thesis.pdf.
Full textNikishkov, Yuri G. "Computational stability analysis of dynamical systems." Diss., Georgia Institute of Technology, 2000. http://hdl.handle.net/1853/12149.
Full textWincure, Benjamin 1966. "Computational modeling of a liquid crystal phase transition." Thesis, McGill University, 2007. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=103308.
Full textAhlberg, Marcus, and Eric Fornander. "Test Case Prioritization as a Mathematical Scheduling Problem." Thesis, KTH, Optimeringslära och systemteori, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-229728.
Full textMjukvarutestning är en extremt viktigt fas i produktutveckling då det säkerställer att inga buggar finns i mjukvaran. Då nutidens produkter ofta inkluderar en komplex mjukvara, kräver mjukvarutestningen mer resurser än tidigare. Eftersom komplexiteten kräver att fler testfall för mjukvaran definieras för att upptäcka eventuella buggar. Detta har skapat ett stort intresse hos företag för strategier inom delområden av mjukvarutestning som syftar till att effektivisera och förenkla desamma. Ett av dessa uppmärksammade delområden är i vilken ordning testfallen ska utföras i syfte att upptäcka buggar i ett så tidigt skede som möjligt, vilket i litteraturen är känt som prioriteringsproblemet för testfall. I den här uppsatsen studeras en utökad version av prioriteringsproblemet där det existerar företrädesberoenden mellan testfallen samt att tiden det tar att exekvera ett testfall är känd. Som ett första delresultat presenteras en matematisk modell av detta utökade problem i form av ett matematiskt schemaläggningsproblem. Sedermera jämförs tre lösningsmetoder för denna modell. Lösningsmetoderna som jämförs är Sidneys upplösningsmetod, en egendesignad metod samt en metod baserad på Smiths regel. Sidneys upplösningsmetod var den metod som gav bäst resultat avseende både exekveringstid och numeriskt resultat. Jämförelsen genomfördes genom simulering av flera artificiellt skapade testfall samt genom en fallstudie på ett företag i järnvägsindustrin.
Cong, Yang, and 丛阳. "Optimization models and computational methods for systems biology." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2012. http://hub.hku.hk/bib/B47752841.
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Mathematics
Doctoral
Doctor of Philosophy
Saigre, Thomas. "Modélisation mathématique, simulation et réduction d’ordre de flux oculaires et leurs interactions : construire le jumeau numérique de l'oeil." Electronic Thesis or Diss., Strasbourg, 2024. http://www.theses.fr/2024STRAD052.
Full textThe human body is a complex system, and the human eye is no exception. Despite medical advances, many pathological questions remain. Mathematical and computational models complement clinical studies by revealing complex pathophysiological mechanisms.The eye, which can be accessed non-invasively, offers useful biological markers for diagnosing diseases. Understanding its behavior, pathologies and associated treatments is therefore essential.This thesis explores the modeling and simulation of ocular flows, notably heat transfer and aqueous humor flow. These approaches require rigorous clinical validation and take into account numerous parameters, both patient-specific and external. A global sensitivity analysis assesses their impact to guide clinicians. These computationally-intensive analyses benefit from certified model reduction methods, enabling accurate and faster simulations, favoring the integration of models into clinical practice
Zhu, Tulong. "Meshless methods in computational mechanics." Diss., Georgia Institute of Technology, 1998. http://hdl.handle.net/1853/11795.
Full textCheung, On-pong, and 張安邦. "Computational fluid dynamics simulations on the natural ventilation bahaviour within a building cluster." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2010. http://hub.hku.hk/bib/B45590084.
Full textKhoury, Imad. "Mathematical and computational tools for the manipulation of musical cyclic rhythms." Thesis, McGill University, 2007. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=101858.
Full textArunakirinathar, Kanagaratnam. "Mathematical and computational aspects of the enhanced strain finite element method." Doctoral thesis, University of Cape Town, 1995. http://hdl.handle.net/11427/15964.
Full textThis thesis deals with further investigations of the enhanced strain finite element method, with particular attention given to the analysis of the method for isoparametric elements. It is shown that the results established earlier by B D Reddy and J C Simo for affine-equivalent meshes carry over to the case of isoparameric elements. That is, the method is stable and convergent provided that a set of three conditions are met, and convergence is at the same rate as in the standard method. The three conditions differ in some respects, though, from their counterparts for the affine case. A procedure for recovering the stress is shown to lead to an approximate stress which converges at the optimal rate to the actual stress. The concept of the equivalent parallelogram associated with a quadrilateral is introduced. The quadrilateral may be regarded as a perturbation of this parallelogram, which is most conveniently described by making use of properties of the isoparametric map which defines the quadrilateral. The equivalent parallelogram generates a natural means of defining a regular family of quadrilaterals; this definition is used together with other properties to obtain in a relatively simple manner estimates, in appropriate seminorms or norms, of the isoparametric map and it's Jacobian, for use in the determination of finite element interpolation error estimates, with regard to computations, a new basis for enhanced strains is introduced, and various examples have been tested. The results obtained are compared with those obtained using other bases, and with those found from an assumed stress approach. Favourable comparisons are obtained in most cases, with the present basis exhibiting an improvement over existing bases. Convergence of the finite element results are verified; it is observed numerically that the improvement of results due to enhancement is as a result of a smaller constant appearing in the error estimates.
Codony, David. "Mathematical and computational modeling of flexoelectricity at mesoscopic and atomistic scales." Doctoral thesis, Universitat Politècnica de Catalunya, 2021. http://hdl.handle.net/10803/671925.
Full textAquesta tesi doctoral es centra en el desenvolupament de models matemàtics i computacionals per a la flexoelectricitat, un acoblament electromecànic relativament nou que es present en qualsevol material dielèctric a les escales microscòpica i nanoscòpica. El treball s'emmarca tant en el context de la mecànica del medi continu com de la mecànica quàntica, i explora l'espai entre aquestes dues disciplines. Per una banda, s'estudien els models matemàtics de l¿'efecte flexoelèctric mitjançant la mecànica del medi continu, i es desenvolupen tècniques computacionals necessàries per la resolució numèrica dels problemes de valor de contorn associats. La nova infraestructura computacional desenvolupada en aquest treball és capaç de predir el rendiment de dispositius funcionals per a la transducció electromecànica a la nanoescala, on la flexoelectricitat és sempre present, sense cap tipus de limitació en quant a geometria, propietats materials, condicions de contorn o no-linearitat. Els exemples numèrics en aquest document demostren que la flexoelectritat es pot aprofitar de diverses maneres per tal de desenvolupar aplicacions nanotecnològiques innovadores. Per altra banda, el efecte flexoelèctric es estudiat també a nivell atomístic mitjançant la mecànica quàntica. Aquest treball proposa una metodologia nova per quantificar les propietats flexoelèctriques de materials dielèctrics, connectant les simulacions atomístiques amb els models continus proposats. El mètode desenvolupat clarifica un tema controvertit en la comunitat de la teoria del funcional de la densitat (DFT), on els càlculs teòrics estan típicament en desacord entre ells. Les simulacions atomístiques no només serveixen per calcular els paràmetres flexoelèctrics dels materials considerats en models continus, sinó també per validar les hipòtesis en les quals es basen en relació amb les físiques rellevants a la nanoescala.
Riposo, Julien. "Computational and Mathematical Methods for Data Analysis in Biology and Finance." Thesis, Paris 6, 2015. http://www.theses.fr/2015PA066177/document.
Full textMathematics are understood as a set of abstract ideas, in the measure of the real world – or reality – has no way to intervene. However, some observable mathematical facts in experimental or simulated data can be counter-intuitive. The PhD is divided into two parts: first, we mathematically study the matrices of the same type of the ones in biology and finance. In particular, we show the following counter-intuitive fact: for these matrices, the eigenvector associated with the highest eigenvalue is close to the sum of each row, column by column. We also discuss some applications to graph theory with many numerical simulations and data analysis.On the other hand, we will face the genetic contact problem: from a contact map, a real current challenge is to find the DNA 3D-structure. We propose several matrix analysis methods, which one show disjoinct areas in the nucleus where the DNA interactions are different. These areas are nuclear compartments. With other biological features, we characterize the biological function of each of the compartments. The analysis tools are the ones already used in finance to analyze the autocorrelation matrices, or even time series
Lao, Bert Juan. "Diversified approach to the mathematical and computational modeling of biological systems." Diss., Restricted to subscribing institutions, 2008. http://proquest.umi.com/pqdweb?did=1562159981&sid=1&Fmt=2&clientId=1564&RQT=309&VName=PQD.
Full textCalabro, Katherine Weaver. "Improved mathematical and computational tools for modeling photon propagation in tissue." Thesis, Boston University, 2013. https://hdl.handle.net/2144/12720.
Full textLight interacts with biological tissue through two predominant mechanisms: scattering and absorption, which are sensitive to the size and density of cellular organelles, and to biochemical composition (ex. hemoglobin), respectively. During the progression of disease, tissues undergo a predictable set of changes in cell morphology and vascularization, which directly affect their scattering and absorption properties. Hence, quantification of these optical property differences can be used to identify the physiological biomarkers of disease with interest often focused on cancer. Diffuse reflectance spectroscopy is a diagnostic tool, wherein broadband visible light is transmitted through a fiber optic probe into a turbid medium, and after propagating through the sample, a fraction of the light is collected at the surface as reflectance. The measured reflectance spectrum can be analyzed with appropriate mathematical models to extract the optical properties of the tissue, and from these, a set of physiological properties. A number of models have been developed for this purpose using a variety of approaches -- from diffusion theory, to computational simulations, and empirical observations. However, these models are generally limited to narrow ranges of tissue and probe geometries. In this thesis, reflectance models were developed for a much wider range of measurement parameters, and influences such as the scattering phase function and probe design were investigated rigorously for the first time. The results provide a comprehensive understanding of the factors that influence reflectance, with novel insights that, in some cases, challenge current assumptions in the field. An improved Monte Carlo simulation program, designed to run on a graphics processing unit (GPU), was built to simulate the data used in the development of the reflectance models. Rigorous error analysis was performed to identify how inaccuracies in modeling assumptions can be expected to affect the accuracy of extracted optical property values from experimentallyacquired reflectance spectra. From this analysis, probe geometries that offer the best robustness against error in estimation of physiological properties from tissue, are presented. Finally, several in vivo studies demonstrating the use of reflectance spectroscopy for both research and clinical applications are presented.
Bartl, Eduard. "Mathematical foundations of graded knowledge spaces." Diss., Online access via UMI:, 2009.
Find full textIncludes bibliographical references.
Perera, Sattambiralalage Anura Lalindra. "Mathematical modelling of two-phase for industrial applications." Thesis, Imperial College London, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.267699.
Full textCotton, Charles E. "A computational study of thiocyanate based laser flash photolysis reporters." Virtual Press, 2006. http://liblink.bsu.edu/uhtbin/catkey/1348346.
Full textDepartment of Chemistry
Yang, Pengyi. "Ensemble methods and hybrid algorithms for computational and systems biology." Thesis, The University of Sydney, 2012. https://hdl.handle.net/2123/28979.
Full textO'Neill, II Martin Joseph. "Computational Epidemiology - Analyzing Exposure Risk: A Deterministic, Agent-Based Approach." Thesis, University of North Texas, 2009. https://digital.library.unt.edu/ark:/67531/metadc11017/.
Full textStrömberg, Fredrik. "Computational Aspects of Maass Waveforms." Doctoral thesis, Uppsala University, Department of Mathematics, 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-4778.
Full textThe topic of this thesis is computation of Mass waveforms, and we consider a number of different cases: Congruence subgroups of the modular group and Dirichlet characters (chapter 1); congruence subgroups and general multiplier systems and real weight (chapter 2); and noncongruence subgroups (chapter 3). In each case we first discuss the necessary theoretical background. We then outline the algorithm and display some of the results obtained by it.
Wildman, Raymond A. "Geometry optimization and computational electromagnetics methods and applications /." Access to citation, abstract and download form provided by ProQuest Information and Learning Company; downloadable PDF file, 191 p, 2008. http://proquest.umi.com/pqdweb?did=1481670101&sid=23&Fmt=2&clientId=8331&RQT=309&VName=PQD.
Full textFischer, Manfred M. "Computational Neural Networks: An attractive class of mathematical models for transportation research." WU Vienna University of Economics and Business, 1997. http://epub.wu.ac.at/4158/1/WSG_DP_5797.pdf.
Full textGraham, James. "Biomedical image computing : the development and application of mathematical and computational models." Thesis, University of Manchester, 2016. https://www.research.manchester.ac.uk/portal/en/theses/biomedical-image-computing-the-development-and-application-of-mathematical-and-computational-models(0e48e05c-3f86-40f2-932a-28df29292cb8).html.
Full textFogarty, Laurel. "From social learning to culture : mathematical and computational models of cultural evolution." Thesis, University of St Andrews, 2012. http://hdl.handle.net/10023/3598.
Full textEkaka-a, Nwamue. "Computational and mathematical modelling of plant species interactions in a harsh climate." Thesis, University of Chester, 2009. http://hdl.handle.net/10034/118016.
Full textYoung, Po-yuk, and 楊寶玉. "Profile of good computational estimators related mathematical variables and common strategies used." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1994. http://hub.hku.hk/bib/B31957626.
Full textHenderson, Donald Mackenzie. "A mathematical and computational analysis of the biomechanics of walking theropod dinosaurs." Thesis, University of Bristol, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.297709.
Full textLeonard, Katherine H. L. "Mathematical and computational modelling of tissue engineered bone in a hydrostatic bioreactor." Thesis, University of Oxford, 2014. http://ora.ox.ac.uk/objects/uuid:05845740-1a74-4e19-95ea-6b5229d1af27.
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