Relevant bibliographies by topics / Mathematical and computational ophthalmology

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Mathematical and computational ophthalmology'

Author: Grafiati
Published: 8 March 2025

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Journal articles on the topic "Mathematical and computational ophthalmology"

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Roberts, Paul A., Eamonn A. Gaffney, Philip J. Luthert, Alexander J. E. Foss, and Helen M. Byrne. "Mathematical and computational models of the retina in health, development and disease." Progress in Retinal and Eye Research 53 (July 2016): 48–69. http://dx.doi.org/10.1016/j.preteyeres.2016.04.001.

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ELSAYED, ASSMA F., and O. ANWAR BÉG. "NEW COMPUTATIONAL APPROACHES FOR BIOPHYSICAL HEAT TRANSFER IN TISSUE UNDER ULTRASONIC WAVES: THE VARIATIONAL ITERATION AND CHEBYSCHEV SPECTRAL SIMULATIONS." Journal of Mechanics in Medicine and Biology 14, no. 03 (2014): 1450043. http://dx.doi.org/10.1142/s0219519414500432.

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A mathematical and numerical study is presented for simulating temperature distribution in a two-dimensional tissue medium using Pennes bioheat transfer equation, when the tissue is subjected to ultrasonic waves. Following nondimensionalization of the governing partial differential equation, a novel variational iteration method (VIM) solution is developed. This excellent technique introduced by He [Variational iteration method — a kind of non-linear analytical technique: Some examples, Int J Non-Linear Mech.34:699–708, 1999] employs Lagrange multipliers which can be identified optimally via va
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Wang, Xiaoliang, and Xiaogang Wang. "Simulation of fluid dynamics and turbulence during phacoemulsification using the new propeller turbo tip." BMJ Open Ophthalmology 8, no. 1 (2023): e001391. http://dx.doi.org/10.1136/bmjophth-2023-001391.

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PurposeTo investigate the fluid dynamics and turbulence in the anterior chamber during phacoemulsification with a new propeller turbo tip using computational fluid dynamics methods.MethodsA theoretical study, three-dimensional model with the corresponding mathematical equations for the propeller turbo phaco tip, anterior chamber and lens capsular bag was developed. A simulation was performed for the new propeller turbo tip with various parameter settings (vacuum, irrigation bottle height and phaco power). Fluid dynamics and turbulence in the anterior chamber, lens capsular bag and phaco tip we
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CAVAS MARTINEZ, FRANCISCO, FRANCISCO LUIS SAEZ GUTIERREZ, JOSÉ SEBASTIÁN VELÁZQUEZ BLÁZQUEZ, JORGE LUCIANO ALIO, and JORGE ALIO DEL BARRIO. "RECONSTRUCTION OF THE CORNEAL SURFACE OF THE HUMAN EYE USING A COMPUTATIONAL EVOLUTIONARY ALGORITHM. PRACTICAL APPLICATION IN NON-PATHOLOGICAL CASES." DYNA 99, no. 1 (2024): 85–92. http://dx.doi.org/10.6036/10998.

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Increasingly, the use of geometric modelling techniques in Applied Ophthalmology is significant in the characterization of important pathologies of the cornea, such as Keratoconus. This article presents a novel method for the geometric reconstruction of the corneal surface from optical topography using a genetic algorithm. Traditionally, mathematical programming methods such as the least squares method have been used to obtain the coefficients of the corneal surface function, such as Navarro model or Zernike polynomials. This new method uses non-dominated multivariable genetic algorithm optimi
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Et. al., Aditya Singh,. "Development of GUI for Detetection of Eye Disorders in Infants." Turkish Journal of Computer and Mathematics Education (TURCOMAT) 12, no. 11 (2021): 1980–85. http://dx.doi.org/10.17762/turcomat.v12i11.6154.

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Strabismus is one of the most common vision diseases in which the eyes do not properly align with each other when looking at an object. The condition may be present occasionally or constantly and if it is present during a large part of childhood, it may result in amblyopia or loss of depth perception. In contrast to manual diagnosis, automatic recognition can significantly reduce labor cost and increase diagnosis efficiency. In this paper, we propose to detect ICD-10-CM Code H50.9 unspecified strabismus using CNN and Image Processing techniques. There are four types of strabismus namely exotro
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Erkelens, Casper J. "Geometric Constraints of Visual Space." i-Perception 12, no. 6 (2021): 204166952110552. http://dx.doi.org/10.1177/20416695211055212.

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Perspective space has been introduced as a computational model of visual space. The model is based on geometric features of visual space. The model has proven to describe a range of phenomena related to the visual perception of distance and size. Until now, the model lacks a mathematical description that holds for complete 3D space. Starting from a previously derived equation for perceived distance in the viewing direction, the suitability of various functions is analyzed. Functions must fulfill the requirement that straight lines, oriented in whatever direction in physical space, transfer to
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Fan, Wenjuan, Yi Wang, Tongzhu Liu, and Guixian Tong. "A patient flow scheduling problem in ophthalmology clinic solved by the hybrid EDA–VNS algorithm." Journal of Combinatorial Optimization 39, no. 2 (2019): 547–80. http://dx.doi.org/10.1007/s10878-019-00497-9.

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Nandhagopal, N., S. Navaneethan, V. Nivedita, A. Parimala, and Dinesh Valluru. "Human Eye Pupil Detection System for Different IRIS Database Images." Journal of Computational and Theoretical Nanoscience 18, no. 4 (2021): 1239–42. http://dx.doi.org/10.1166/jctn.2021.9390.

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The pupil detection system plays a vital role in ophthalmology diagnosis equipments because pupil has a center place of human eye to locate the exact position. To identify the exact human eye pupil region in near infrared (NIR) images, this work proposes the Center of gravity method and its real time FPGA hardware implementation. The proposed work involves global threshold method to segment the pupil region from human eye and the bright spot suppression process removes the light reflections on the pupil due to the IR (Infra red) rays then the morphology dilation process removes unnecessary bla
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Friedmann, Elfriede, Simon Dörsam, and Gerd U. Auffarth. "Models and Algorithms for the Refinement of Therapeutic Approaches for Retinal Diseases." Diagnostics 13, no. 5 (2023): 975. http://dx.doi.org/10.3390/diagnostics13050975.

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We are developing a Virtual Eye for in silico therapies to accelerate research and drug development. In this paper, we present a model for drug distribution in the vitreous body that enables personalized therapy in ophthalmology. The standard treatment for age-related macular degeneration is anti-vascular endothelial growth factor (VEGF) drugs administered by repeated injections. The treatment is risky, unpopular with patients, and some of them are unresponsive with no alternative treatment. Much attention is paid to the efficacy of these drugs, and many efforts are being made to improve them.
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Yue, Chen, Mingquan Ye, Peipei Wang, Daobin Huang, and Xiaojie Lu. "SRV-GAN: A generative adversarial network for segmenting retinal vessels." Mathematical Biosciences and Engineering 19, no. 10 (2022): 9948–65. http://dx.doi.org/10.3934/mbe.2022464.

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<abstract> <p>In the field of ophthalmology, retinal diseases are often accompanied by complications, and effective segmentation of retinal blood vessels is an important condition for judging retinal diseases. Therefore, this paper proposes a segmentation model for retinal blood vessel segmentation. Generative adversarial networks (GANs) have been used for image semantic segmentation and show good performance. So, this paper proposes an improved GAN. Based on R2U-Net, the generator adds an attention mechanism, channel and spatial attention, which can reduce the loss of information
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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.

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Macdougall, Lindsey C. "Mathematical modelling of retinal metabolism." Thesis, University of Nottingham, 2015. http://eprints.nottingham.ac.uk/30615/.

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Age-related macular degeneration and diabetic retinopathy, in which the cells at the back of the eye degrade due to age and diabetes respectively, are prevalent causes of vision loss in adults. We formulate mathematical models of retinal metabolic regulation to investigate defects that may be responsible for pathology. Continuum PDE models are developed to test whether rod photoreceptors, light detecting cells in the eye, may regulate their energy demand by adapting their length under light and dark conditions. These models assume photoreceptor length depends on the availability of nutrients,
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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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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.

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Baker, 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.

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Remias, Michael George. "Computational studies of some fuzzy mathematical problems." Thesis, Curtin University, 2012. http://hdl.handle.net/20.500.11937/1147.

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In modelling and optimizing real world systems and processes, one usually ends up with a linear or nonlinear programming problem, namely maximizing one or more objective functions subject to a set of constraint equations or inequalities. For many cases, the constraints do not need to be satisfied exactly, and the coefficients involved in the model are imprecise in nature and have to be described by fuzzy numbers to reflect the real world nature. The resulting mathematical programming problem is referred to as a fuzzy mathematical programming problem.Over the past decades, a great deal of work
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Thorn, 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.

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Southern, 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.

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In this thesis a parameter recovery method for use in ultrasound elasticity imaging is developed. Elasticity imaging is a method for using a series of ultrasound images (and the displacement field between them) to estimate the spatial variation of the stiffness of the tissue being imaged. Currently iterative methods are used to do this: a model of tissue mechanics is assumed and a large number of simulations using varying parameters are compared to the actual displacement field. The aim of this work is to develop a solution method that works back from the known displacement field to determine
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GIRIBONE, PIER GIUSEPPE. "Mathematical modeling in Quantitative Finance and Computational Economics." Doctoral thesis, Università degli studi di Genova, 2021. http://hdl.handle.net/11567/1046108.

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The first part of my PhD Thesis deals with different Machine Learning techniques mainly applied to solve financial engineering and risk management issues. After a short literary review, every chapter analyzes a particular topic linked to the implementation of these models, showing the most suitable methodologies able to solve it efficiently. The following topics are therefore covered: *) Data Fitting and Regression *) Forecasting *) Classification *) Outlier Detection and Data Quality *) Pricing Every chapter provides the theoretical explanation of the model, the description of the impl
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Dutta, Jayanta. "Computational aspects of some mathematical and numerical problems." Thesis, University of North Bengal, 2015. http://ir.nbu.ac.in/handle/123456789/1850.

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Books on the topic "Mathematical and computational ophthalmology"

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Schittkowski, Klaus, ed. Computational Mathematical Programming. Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/978-3-642-82450-0.

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1946-, Schittkowski Klaus, and North Atlantic Treaty Organization. Scientific Affairs Division., eds. Computational mathematical programming. Springer-Verlag, 1985.

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L, Hoffman K., Jackson Richard Henry Frymuth, Telgen J, Mathematical Programming Society (U.S.). Committee on Algorithms., and NATO Advanced Study Institute on Computational Mathematical Programming (1984 : Bad Windsheim, Germany), eds. Computational mathematical programming. North-Holland, 1987.

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Hubey, H. M. Mathematical and computational linguistics. LINCOM Europa, 1999.

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Bebis, George, Terry Gaasterland, Mamoru Kato, Mohammad Kohandel, and Kathleen Wilkie, eds. Mathematical and Computational Oncology. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-91241-3.

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Brebbia, C. A., W. L. Wendland, and G. Kuhn, eds. Mathematical and Computational Aspects. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-662-21908-9.

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Bebis, George, Takis Benos, Ken Chen, Katharina Jahn, and Ernesto Lima, eds. Mathematical and Computational Oncology. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-35210-3.

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Bebis, George, Max Alekseyev, Heyrim Cho, Jana Gevertz, and Maria Rodriguez Martinez, eds. Mathematical and Computational Oncology. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-64511-3.

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Melnik, Roderick, ed. Mathematical and Computational Modeling. John Wiley & Sons, Inc, 2015. http://dx.doi.org/10.1002/9781118853887.

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Hubey, H. Mark. Mathematical and computational linguistics. Lincom Europa, 1999.

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Book chapters on the topic "Mathematical and computational ophthalmology"

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Wallace, Rodrick. "Mathematical Appendix." In Computational Psychiatry. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-53910-2_12.

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Prasad, Ram Yatan, and Pranita. "Mathematical Techniques." In Computational Quantum Chemistry, 2nd ed. CRC Press, 2021. http://dx.doi.org/10.1201/9781003133605-3.

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Kuhl, Ellen. "Introduction to mathematical epidemiology." In Computational Epidemiology. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-82890-5_1.

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Eberly, David. "Mathematical Preliminaries." In Computational Imaging and Vision. Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-015-8765-5_2.

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Wang, Paul Keng-Chieh. "Mathematical Preliminaries." In Studies in Computational Intelligence. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-09779-4_2.

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Mazzola, Guerino, Maria Mannone, Yan Pang, Margaret O’Brien, and Nathan Torunsky. "Mathematical Gesture Theory." In Computational Music Science. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-47334-5_19.

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Grunsky, Eric. "Computational Geoscience." In Encyclopedia of Mathematical Geosciences. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-030-85040-1_6.

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Schwartz, Richard. "Computational methods." In Mathematical Surveys and Monographs. American Mathematical Society, 2014. http://dx.doi.org/10.1090/surv/197/26.

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Das, Tapan Kumar. "Computational Techniques." In Theoretical and Mathematical Physics. Springer India, 2015. http://dx.doi.org/10.1007/978-81-322-2361-0_10.

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Beale, E. M. L. "Integer Programming." In Computational Mathematical Programming. Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/978-3-642-82450-0_1.

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Conference papers on the topic "Mathematical and computational ophthalmology"

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Pustovalov, Victor K. "Mathematical modeling of laser applications in ophthalmology." In Europto Biomedical Optics '93, edited by Shlomo T. Melamed. SPIE, 1994. http://dx.doi.org/10.1117/12.168734.

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Zheltov, Georgi I., V. N. Glazkov, A. I. Kirkovsky, and Alexander S. Podol'tsev. "Mathematical models of laser/tissue interactions for treatment and diagnosis in ophthalmology." In Moscow - DL tentative, edited by Sergei A. Akhmanov and Marina Y. Poroshina. SPIE, 1991. http://dx.doi.org/10.1117/12.57371.

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Gaffar, Ashraf, Dharmendra R. Patel, Peter J. Pallagi, Rouan Gaffar, and Mansooreh Karami. "Identifying and Mitigating Design Challenges of Ophthalmology Tele-medicine at Mayo Clinic." In 2017 International Conference on Computational Science and Computational Intelligence (CSCI). IEEE, 2017. http://dx.doi.org/10.1109/csci.2017.301.

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Olivo-Marin, Jean-Christophe. "Mathematical Microscopy." In Computational Optical Sensing and Imaging. OSA, 2016. http://dx.doi.org/10.1364/cosi.2016.cm3d.1.

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Watt, Stephen M. "Computational Tools for Mathematical Collaboration." In 2011 13th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC). IEEE, 2011. http://dx.doi.org/10.1109/synasc.2011.64.

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Handley, John C. "Architecture for computational mathematical morphology." In Photonics West 2001 - Electronic Imaging, edited by Edward R. Dougherty and Jaakko T. Astola. SPIE, 2001. http://dx.doi.org/10.1117/12.424963.

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Roy, Somnath. "Prominence Detection in Hindi: A Mathematical Perspective." In 2014 International Conference on Computational Science and Computational Intelligence (CSCI). IEEE, 2014. http://dx.doi.org/10.1109/csci.2014.105.

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Guo, Wei, Wei Su, Lian Li, Ning An, and Linwei Cui. "MQL: A Mathematical Formula Query Language for Mathematical Search." In 2011 IEEE 14th International Conference on Computational Science and Engineering (CSE). IEEE, 2011. http://dx.doi.org/10.1109/cse.2011.52.

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Orzen, S. N. "Mathematical expressiveness for computational network interaction." In 2013 IEEE 8th International Symposium on Applied Computational Intelligence and Informatics (SACI). IEEE, 2013. http://dx.doi.org/10.1109/saci.2013.6608943.

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"Topic 7 Mathematical and computational methods." In 2008 International Conference on Signals and Electronic Systems. IEEE, 2008. http://dx.doi.org/10.1109/icses.2008.4673441.

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Reports on the topic "Mathematical and computational ophthalmology"

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Boisvert, Ronald F. Mathematical and Computational Sciences Division :. National Institute of Standards and Technology, 2010. http://dx.doi.org/10.6028/nist.ir.7671.

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Karniadakis, George E. Mathematical and Computational Issues in Plasma Microthrusters. Defense Technical Information Center, 2000. http://dx.doi.org/10.21236/ada415042.

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Dupuis, Paul, David Gottlieb, and Jan Hesthaven. Novel Mathematical and Computational Techniques for Robust Uncertainty Quantification. Defense Technical Information Center, 2011. http://dx.doi.org/10.21236/ada567849.

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Szabo, Barna A. Mathematical and Computational Framework for Virtual Fabrication Environment for Aircraft Components. Defense Technical Information Center, 2008. http://dx.doi.org/10.21236/ada483777.

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Basak, Subhash C. Use of Biodescriptors and Chemodescriptors in Predictive Toxicology: A Mathematical/Computational Approach. Defense Technical Information Center, 2005. http://dx.doi.org/10.21236/ada434129.

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Van Dongen, Hans P. Homeostatic and Circadian Modulation of Cognition: Integrating Mathematical and Computational Modeling Approaches. Defense Technical Information Center, 2012. http://dx.doi.org/10.21236/ada579501.

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Ghanem, Roger. Mathematical and Computational Tools for Predictive Simulation of Complex Coupled Systems under Uncertainty. Office of Scientific and Technical Information (OSTI), 2013. http://dx.doi.org/10.2172/1070028.

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Schunn, C. D. A Review of Human Spatial Representations Computational, Neuroscience, Mathematical, Developmental, and Cognitive Psychology Considerations. Defense Technical Information Center, 2000. http://dx.doi.org/10.21236/ada440864.

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Surana, Karan S., J. N. Reddy, and Peter W. TenPas. kappa-Version of Finite Element Method: A New Mathematical and Computational Framework for BVP and IVP. Defense Technical Information Center, 2007. http://dx.doi.org/10.21236/ada465662.

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Willenbring, James M., Roscoe Ainsworth Bartlett, and Michael Allen Heroux. TriBITS lifecycle model. Version 1.0, a lean/agile software lifecycle model for research-based computational science and engineering and applied mathematical software. Office of Scientific and Technical Information (OSTI), 2012. http://dx.doi.org/10.2172/1038225.

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