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Keramati H, de Vecchi A, Rajani R, Niederer SA. Using Gaussian process for velocity reconstruction after coronary stenosis applicable in positron emission particle tracking: An in-silico study. PLoS One 2023; 18:e0295789. [PMID: 38096169 PMCID: PMC10721050 DOI: 10.1371/journal.pone.0295789] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/15/2023] [Accepted: 11/28/2023] [Indexed: 12/17/2023] Open
Abstract
Accurate velocity reconstruction is essential for assessing coronary artery disease. We propose a Gaussian process method to reconstruct the velocity profile using the sparse data of the positron emission particle tracking (PEPT) in a biological environment, which allows the measurement of tracer particle velocity to infer fluid velocity fields. We investigated the influence of tracer particle quantity and detection time interval on flow reconstruction accuracy. Three models were used to represent different levels of stenosis and anatomical complexity: a narrowed straight tube, an idealized coronary bifurcation with stenosis, and patient-specific coronary arteries with a stenotic left circumflex artery. Computational fluid dynamics (CFD), particle tracking, and the Gaussian process of kriging were employed to simulate and reconstruct the pulsatile flow field. The study examined the error and uncertainty in velocity profile reconstruction after stenosis by comparing particle-derived flow velocity with the CFD solution. Using 600 particles (15 batches of 40 particles) released in the main coronary artery, the time-averaged error in velocity reconstruction ranged from 13.4% (no occlusion) to 161% (70% occlusion) in patient-specific anatomy. The error in maximum cross-sectional velocity at peak flow was consistently below 10% in all cases. PEPT and kriging tended to overestimate area-averaged velocity in higher occlusion cases but accurately predicted maximum cross-sectional velocity, particularly at peak flow. Kriging was shown to be useful to estimate the maximum velocity after the stenosis in the absence of negative near-wall velocity.
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Affiliation(s)
- Hamed Keramati
- School of Bioengineering and Imaging Sciences, King’s College London, London, United Kingdom
- National Heart and Lung Institute, Imperial College London, London, United Kingdom
| | - Adelaide de Vecchi
- School of Bioengineering and Imaging Sciences, King’s College London, London, United Kingdom
| | - Ronak Rajani
- School of Bioengineering and Imaging Sciences, King’s College London, London, United Kingdom
- Cardiology Department, Guy’s and St, Thomas’s Hospital, London, United Kingdom
| | - Steven A. Niederer
- School of Bioengineering and Imaging Sciences, King’s College London, London, United Kingdom
- National Heart and Lung Institute, Imperial College London, London, United Kingdom
- Turing Research and Innovation Cluster in Digital Twins (TRIC: DT), The Alan Turing Institute, London, United Kingdom
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Windows-Yule CRK, Herald MT, Nicuşan AL, Wiggins CS, Pratx G, Manger S, Odo AE, Leadbeater T, Pellico J, de Rosales RTM, Renaud A, Govender I, Carasik LB, Ruggles AE, Kokalova-Wheldon T, Seville JPK, Parker DJ. Recent advances in positron emission particle tracking: a comparative review. REPORTS ON PROGRESS IN PHYSICS. PHYSICAL SOCIETY (GREAT BRITAIN) 2022; 85:016101. [PMID: 34814127 DOI: 10.1088/1361-6633/ac3c4c] [Citation(s) in RCA: 9] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/29/2021] [Accepted: 11/23/2021] [Indexed: 06/13/2023]
Abstract
Positron emission particle tracking (PEPT) is a technique which allows the high-resolution, three-dimensional imaging of particulate and multiphase systems, including systems which are large, dense, and/or optically opaque, and thus difficult to study using other methodologies. In this work, we bring together researchers from the world's foremost PEPT facilities not only to give a balanced and detailed overview and review of the technique but, for the first time, provide a rigorous, direct, quantitative assessment of the relative strengths and weaknesses of all contemporary PEPT methodologies. We provide detailed explanations of the methodologies explored, including also interactive code examples allowing the reader to actively explore, edit and apply the algorithms discussed. The suite of benchmarking tests performed and described within the document is made available in an open-source repository for future researchers.
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Affiliation(s)
- C R K Windows-Yule
- School of Chemical Engineering, The University of Birmingham, Edgbaston, Birmingham B15 2TT, United Kingdom
| | - M T Herald
- School of Chemical Engineering, The University of Birmingham, Edgbaston, Birmingham B15 2TT, United Kingdom
| | - A L Nicuşan
- School of Chemical Engineering, The University of Birmingham, Edgbaston, Birmingham B15 2TT, United Kingdom
| | - C S Wiggins
- Department of Mechanical and Nuclear Engineering, Virginia Commonwealth University, 401 West Main Street, Box 843015, Richmond, Virginia 23284, United States of America
- Department of Physics and Astronomy, University of Tennessee, Knoxville, 1408 Circle Drive, Knoxville, TN 37996, United States of America
| | - G Pratx
- Department of Radiation Oncology, Division of Medical Physics, Stanford University School of Medicine, Stanford University, Stanford, CA, United States of America
- Molecular Imaging Program at Stanford (MIPS), School of Medicine, Stanford University, Stanford, CA, United States of America
| | - S Manger
- School of Chemical Engineering, The University of Birmingham, Edgbaston, Birmingham B15 2TT, United Kingdom
| | - A E Odo
- Department of Physics, Federal University Oye-Ekiti, Nigeria
- Department of Physics, University of Cape Town, Rondebosch 7701, South Africa
| | - T Leadbeater
- Department of Physics, University of Cape Town, Rondebosch 7701, South Africa
| | - J Pellico
- School of Biomedical Engineering & Imaging Sciences, King's College London, St. Thomas' Hospital, London SE1 7EH, United Kingdom
| | - R T M de Rosales
- School of Biomedical Engineering & Imaging Sciences, King's College London, St. Thomas' Hospital, London SE1 7EH, United Kingdom
| | - A Renaud
- School of Mathematics, The University of Edinburgh, Old College, South Bridge, Edinburgh EH8 9YL, United Kingdom
| | - I Govender
- Mintek, P/Bag X3015, Ranburg, Gauteng 2121, South Africa
- Centre for Minerals Research, University of Cape Town, P/Bag Rondebosch 7701, South Africa
- School of Engineering, University of KwaZulu Natal, Glenwood 4041, South Africa
| | - L B Carasik
- Department of Mechanical and Nuclear Engineering, Virginia Commonwealth University, 401 West Main Street, Box 843015, Richmond, Virginia 23284, United States of America
| | - A E Ruggles
- Department of Nuclear Engineering, University of Tennessee, Knoxville, 1412 Circle Drive, Knoxville, TN 37996, United States of America
| | - Tz Kokalova-Wheldon
- School of Physics and Astronomy, The University of Birmingham, Edgbaston, Birmingham B15 2TT, United Kingdom
| | - J P K Seville
- School of Chemical Engineering, The University of Birmingham, Edgbaston, Birmingham B15 2TT, United Kingdom
| | - D J Parker
- School of Physics and Astronomy, The University of Birmingham, Edgbaston, Birmingham B15 2TT, United Kingdom
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Whole-body tracking of single cells via positron emission tomography. Nat Biomed Eng 2020; 4:835-844. [PMID: 32541917 PMCID: PMC7423763 DOI: 10.1038/s41551-020-0570-5] [Citation(s) in RCA: 42] [Impact Index Per Article: 8.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/02/2019] [Accepted: 05/15/2020] [Indexed: 01/14/2023]
Abstract
In vivo molecular imaging can measure the average kinetics and movement routes of injected cells through the body. Yet owing to the non-specific accumulation of the contrast agent and its efflux from the cells, most such imaging methods suffer from inaccurate estimations of the distribution of the cells. Here, we show that single human breast cancer cells loaded with mesoporous silica nanoparticles concentrating the 68Ga radioisotope and injected in immunodeficient mice can be tracked in real time from the pattern of annihilation photons detected by positron emission tomography, with respect to anatomical landmarks derived from X-ray computed tomography. We show that the cells travelled at an average velocity of 50 mm/s and arrested in the lungs two-to-three seconds after tail-vein injection in the mice, which is consistent with the blood-flow rate. Single-cell tracking could be used to determine the kinetics of cell trafficking and arrest during the earliest phase of the metastatic cascade, the trafficking of immune cells during cancer immunotherapy, and the distribution of cells after transplantation. One-sentence editorial summary: The travelling kinetics of single cells loaded with mesoporous silica nanoparticles concentrating the 68Ga radioisotope and injected in mice can be tracked in real time from the pattern of coincident gamma-rays detected by positron emission tomography.
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