Detection of structure of objects using microwaves Larisa Beilina ∗ Department of Mathematical Sciences, Chalmers University of Technology and Gothenburg University, SE-42196 Gothenburg, Sweden www.math.chalmers.se/ ∼ larisa TechMatching/Chalmers Ventures
How mathematics can be used in detection of objects Breast cancer, land mines, oil prospecting, ability to see through the walls and construction of invisible materials can all be modelled and computed using different types of wave equations: acoustic, elastic or electromagnetic. In the mathematical literature, these questions are called the coefficient inverse problems. A coefficient inverse problem for a given PDE aims at estimating a spatially distributed coefficient of the model PDE using measurements taken on the boundary of the domain of interest. Need of new fast and robust numerical methods for solution of CIPs. Figure shows real-life applications of acoustic, elastic and electric waves : upper left: modelling of Stroke Finder using microwaves and right: microwave hyperthermia in cancer treatment; breast cancer. detection modelling; subwater imaging; subsurface imaging: oil and gas prospectation. detection using microwave tomography. www.math.chalmers.se/ ∼ larisa Chalmers University of Technology/University of Gothenburg, Sweden
Team and resources Left: L.Beilina, Professor of Applied Mathematics, Department of Mathematical Sciences Chalmers/GU, developer of software package WavES (waves24.com). . Middle: collaborative researchers from Aix-Marseille University (Professor Michel Cristofol) and Institut Fresnel (Dr. Amelie Litman, Dr. Anabela Dasilva). Right: software package WavES (waves24.com) is developed for efficient solution of time-dependent wave equations (acoustic, elastic, electromagnetic). www.math.chalmers.se/ ∼ larisa Chalmers University of Technology/University of Gothenburg, Sweden
Addressed Problems: detection of explosives Determination of refractive indices of materials in non-conductive and conductive medium. www.math.chalmers.se/ ∼ larisa Chalmers University of Technology/University of Gothenburg, Sweden
Addressed Problems: breast cancer detection Breast cancer detection (medical imaging). Modelling with waves24.com (FEM). Obtained reconstruction on 3D FEM mesh www.math.chalmers.se/ ∼ larisa Chalmers University of Technology/University of Gothenburg, Sweden
How these problems are solved today Technologies for breast cancer detection (medical imaging): X-ray technique (mammography), MRI imaging, ultrasonography (US). Can miss small inclusions, can’t show contrast (values of refractive indices), invasive. Accuracy: 50% Mammography, US; 66% MRI ( Modern Breast Cancer Detection: A Technological Review, Int J Biomed Imaging. 2009; 2009: 902326. Published online 2009 Dec 28. doi: 10.1155/2009/902326 Spatia distribution of the dielectric properties (dielectric constant(left), effective conductivity (right)) at 6GHz in a slice obtained from MRI data. Online repository https://uwcem.ece.wisc.edu/MRIdatabase/ The University Wisconsin-Madison, USA. MRI laboratory at University Hospital in Orsay, France. www.math.chalmers.se/ ∼ larisa Chalmers University of Technology/University of Gothenburg, Sweden
How these problems are solved today Detection of explosives: X-rays, invasive technique, can’t detectsmall amountofexplosives. X-Ray: Smiths Detection Wins London Gatwick Airport Contract for CTX 9800 Hold Baggage Explosives Detection Systems X-Ray: Visible and terahertz images of a man carrying a knife hidden in a newspaper and a gun in his pants. (QinetiQ.).source: Nap.edu www.math.chalmers.se/ ∼ larisa Chalmers University of Technology/University of Gothenburg, Sweden
What is unique with proposed technology technology Using of non-dangerous microwaves instead of invasive X-rays New global imaging method will not miss small cancerous inclusions and explosives. Computations will be done in minutes instead of hours/weeks. www.math.chalmers.se/ ∼ larisa Chalmers University of Technology/University of Gothenburg, Sweden
Project status U.S. Provisional patent application ” Determining an internal structure of an object ”, application number 62/770235, is filed in order to obtain an early filing date and to provide additional time for further development of an invention. Provisional application expires at November 21, 2019. It should be converted to complete patent application in U.S. within one year, until November 21,2019. Two examples of already utilized applications of various mathematical methods are: 1) detection of mines in dry ground; 2) characterization of metallic pipes with annular flow in oil prospecting: U.S. Patent “ System and Method for Multiphase Flow Measurements ”, Assignee : FMC Kongsberg Subsea AS , Patent No.:108. (WO2015121365), Inventors: Eriksson, Anders; (SE) Beilina, Larisa; (SE). www.math.chalmers.se/ ∼ larisa Chalmers University of Technology/University of Gothenburg, Sweden
Customers/Market The most probable users of proposed technology: Breast cancer detection: 1) clinics, 2) personal health medical device: individual citizens. Detection of explosives/explosive belts: 1) airport/cities security, 2) personal security ofindividuals. www.math.chalmers.se/ ∼ larisa Chalmers University of Technology/University of Gothenburg, Sweden
Goals in suistainable development Good health and well-being. Industry, innovation and infrastructure. Peace, justice and stronginstitutions. www.math.chalmers.se/ ∼ larisa Chalmers University of Technology/University of Gothenburg, Sweden
Expectations Teaming with Chalmers School of entrepreneurship and Chalmers Ventures. Identify business modell around the technology. Obtaining contacts with undustry. I can provide myexpertise. www.math.chalmers.se/ ∼ larisa Chalmers University of Technology/University of Gothenburg, Sweden
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