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Diagnostic Evaluation of Rheumatoid Arthritis (RA) in Finger Joints Based on the Third-Order Simplified Spherical Harmonics (SP3) Light Propagation Model. APPLIED SCIENCES-BASEL 2022. [DOI: 10.3390/app12136418] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/10/2022]
Abstract
This work focuses on the evaluation of third-order simplified spherical harmonics (SP3) model-based image reconstruction with respect to its clinical utility to diagnose rheumatoid arthritis (RA). The existing clinical data of 219 fingers was reconstructed for both absorption and scattering maps in fingers by using the reduced-Hessian sequential quadratic programming (rSQP) algorithm that employs the SP3 model of light propagation. The k-fold cross validation method was used for feature extraction and classification of SP3-based tomographic images. The performance of the SP3 model was compared to the DE and ERT models with respect to diagnostic accuracy and computational efficiency. The results presented here show that the SP3 model achieves clinically relevant sensitivity (88%) and specificity (93%) that compare favorably to the ERT while maintaining significant computational advantage over the ERT (i.e., the SP3 model is 100 times faster than the ERT). Furthermore, it is also shown that the SP3 is similar in speed but superior in diagnostic accuracy to the DE. Therefore, it is expected that the method presented here can greatly aid in the early diagnosis of RA with clinically relevant accuracy in near real-time at a clinical setting.
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Solution of Radiative Transfer Equation with a Continuous and Stochastic Varying Refractive Index by Legendre Transform Method. COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE 2014; 2014:814929. [PMID: 25013454 PMCID: PMC4070366 DOI: 10.1155/2014/814929] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 02/06/2014] [Revised: 04/17/2014] [Accepted: 04/21/2014] [Indexed: 11/17/2022]
Abstract
The present paper gives a new computational framework within which radiative transfer in a varying refractive index biological tissue can be studied. In our previous works, Legendre transform was used as an innovative view to handle the angular derivative terms in the case of uniform refractive index spherical medium. In biomedical optics, our analysis can be considered as a forward problem solution in a diffuse optical tomography imaging scheme. We consider a rectangular biological tissue-like domain with spatially varying refractive index submitted to a near infrared continuous light source. Interaction of radiation with the biological material into the medium is handled by a radiative transfer model. In the studied situation, the model displays two angular redistribution terms that are treated with Legendre integral transform. The model is used to study a possible detection of abnormalities in a general biological tissue. The effect of the embedded nonhomogeneous objects on the transmitted signal is studied. Particularly, detection of targets of localized heterogeneous inclusions within the tissue is discussed. Results show that models accounting for variation of refractive index can yield useful predictions about the target and the location of abnormal inclusions within the tissue.
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Montejo LD, Jia J, Kim HK, Netz UJ, Blaschke S, Müller GA, Hielscher AH. Computer-aided diagnosis of rheumatoid arthritis with optical tomography, Part 1: feature extraction. JOURNAL OF BIOMEDICAL OPTICS 2013; 18:076001. [PMID: 23856915 PMCID: PMC3710917 DOI: 10.1117/1.jbo.18.7.076001] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/04/2023]
Abstract
This is the first part of a two-part paper on the application of computer-aided diagnosis to diffuse optical tomography (DOT). An approach for extracting heuristic features from DOT images and a method for using these features to diagnose rheumatoid arthritis (RA) are presented. Feature extraction is the focus of Part 1, while the utility of five classification algorithms is evaluated in Part 2. The framework is validated on a set of 219 DOT images of proximal interphalangeal (PIP) joints. Overall, 594 features are extracted from the absorption and scattering images of each joint. Three major findings are deduced. First, DOT images of subjects with RA are statistically different (p<0.05) from images of subjects without RA for over 90% of the features investigated. Second, DOT images of subjects with RA that do not have detectable effusion, erosion, or synovitis (as determined by MRI and ultrasound) are statistically indistinguishable from DOT images of subjects with RA that do exhibit effusion, erosion, or synovitis. Thus, this subset of subjects may be diagnosed with RA from DOT images while they would go undetected by reviews of MRI or ultrasound images. Third, scattering coefficient images yield better one-dimensional classifiers. A total of three features yield a Youden index greater than 0.8. These findings suggest that DOT may be capable of distinguishing between PIP joints that are healthy and those affected by RA with or without effusion, erosion, or synovitis.
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Affiliation(s)
- Ludguier D. Montejo
- Columbia University, Department of Biomedical Engineering, New York, New York 10027
- Address all correspondence to: Ludguier D. Montejo and Andreas H. Hielscher, Columbia University, Department of Biomedical Engineering, 500 West 120th Street, ET 351 Mudd Bldg, MC8904, New York, New York 10027. Ludguier D. Montejo, Tel: 212-854-2320; Fax: 212-854-8725; E-mail: ; Andreas H. Hielscher, Tel: 212-854-5020; Fax: 212-854-8725; E-mail:
| | - Jingfei Jia
- Columbia University, Department of Biomedical Engineering, New York, New York 10027
| | - Hyun K. Kim
- Columbia University Medical Center, Department of Radiology, New York, New York 10032
| | - Uwe J. Netz
- Laser-und Medizin-Technologie GmbH Berlin, Berlin-Dahlem, 14195, Germany
- Charité-Universitätsmedizin Berlin, Department of Medical Physics and Laser Medicine, Berlin 10117, Germany
| | - Sabine Blaschke
- University Medical Center Göttingen, Department of Nephrology and Rheumatology, Göttingen 37075, Germany
| | - Gerhard A. Müller
- University Medical Center Göttingen, Department of Nephrology and Rheumatology, Göttingen 37075, Germany
| | - Andreas H. Hielscher
- Columbia University, Department of Biomedical Engineering, New York, New York 10027
- Columbia University Medical Center, Department of Radiology, New York, New York 10032
- Columbia University, Department of Electrical Engineering, New York, New York 10025
- Address all correspondence to: Ludguier D. Montejo and Andreas H. Hielscher, Columbia University, Department of Biomedical Engineering, 500 West 120th Street, ET 351 Mudd Bldg, MC8904, New York, New York 10027. Ludguier D. Montejo, Tel: 212-854-2320; Fax: 212-854-8725; E-mail: ; Andreas H. Hielscher, Tel: 212-854-5020; Fax: 212-854-8725; E-mail:
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Montejo LD, Jia J, Kim HK, Netz UJ, Blaschke S, Müller GA, Hielscher AH. Computer-aided diagnosis of rheumatoid arthritis with optical tomography, Part 2: image classification. JOURNAL OF BIOMEDICAL OPTICS 2013; 18:076002. [PMID: 23856916 PMCID: PMC3710916 DOI: 10.1117/1.jbo.18.7.076002] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/04/2023]
Abstract
This is the second part of a two-part paper on the application of computer-aided diagnosis to diffuse optical tomography (DOT) for diagnosing rheumatoid arthritis (RA). A comprehensive analysis of techniques for the classification of DOT images of proximal interphalangeal joints of subjects with and without RA is presented. A method for extracting heuristic features from DOT images was presented in Part 1. The ability of five classification algorithms to accurately label each DOT image as belonging to a subject with or without RA is analyzed here. The algorithms of interest are the k-nearest-neighbors, linear and quadratic discriminant analysis, self-organizing maps, and support vector machines (SVM). With a polynomial SVM classifier, we achieve 100.0% sensitivity and 97.8% specificity. Lower bounds for these results (at 95.0% confidence level) are 96.4% and 93.8%, respectively. Image features most predictive of RA are from the spatial variation of optical properties and the absolute range in feature values. The optimal classifiers are low-dimensional combinations (<7 features). These results underscore the high potential for DOT to become a clinically useful diagnostic tool and warrant larger prospective clinical trials to conclusively demonstrate the ultimate clinical utility of this approach.
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Affiliation(s)
- Ludguier D. Montejo
- Columbia University, Department of Biomedical Engineering, New York, New York 10025
- Address all correspondence to: Ludguier D. Montejo and Andreas H. Hielscher, Columbia University, Department of Biomedical Engineering, 500 West 120th Street, ET 351 Mudd Building, MC8904, New York, New York 10027. Ludguier D. Montejo, Tel: +212-854-2320; Fax: +212-854-8725; E-mail: ; Andreas H. Hielscher, Tel: 212-854-5020; Fax: 212-854-8725; E-mail:
| | - Jingfei Jia
- Columbia University, Department of Biomedical Engineering, New York, New York 10025
| | - Hyun K. Kim
- Columbia University Medical Center, Department of Radiology, New York, New York 10032
| | - Uwe J. Netz
- Laser- und Medizin-Technologie GmbH Berlin, Berlin, Dahlem 14195, Germany
- Charité-Universitätsmedizin Berlin, Department of Medical Physics and Laser Medicine, Berlin 10117, Germany
| | - Sabine Blaschke
- University Medical Center Göttingen, Department of Nephrology and Rheumatology, Göttingen 37075, Germany
| | - Gerhard A. Müller
- University Medical Center Göttingen, Department of Nephrology and Rheumatology, Göttingen 37075, Germany
| | - Andreas H. Hielscher
- Columbia University, Department of Biomedical Engineering, New York, New York 10025
- Columbia University Medical Center, Department of Radiology, New York, New York 10032
- Columbia University, Department of Electrical Engineering, New York, New York 10025
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Busch DR, Choe R, Durduran T, Yodh AG. Towards non-invasive characterization of breast cancer and cancer metabolism with diffuse optics. PET Clin 2013; 8. [PMID: 24244206 DOI: 10.1016/j.cpet.2013.04.004] [Citation(s) in RCA: 22] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
Abstract
We review recent developments in diffuse optical imaging and monitoring of breast cancer, i.e. optical mammography. Optical mammography permits non-invasive, safe and frequent measurement of tissue hemodynamics oxygen metabolism and components (lipids, water, etc.), the development of new compound indices indicative of the risk and malignancy, and holds potential for frequent non-invasive longitudinal monitoring of therapy progression.
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Emerging optical and nuclear medicine imaging methods in rheumatoid arthritis. Nat Rev Rheumatol 2012; 8:719-28. [DOI: 10.1038/nrrheum.2012.148] [Citation(s) in RCA: 40] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/21/2022]
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Anand IS, Tang WHW, Greenberg BH, Chakravarthy N, Libbus I, Katra RP. Design and performance of a multisensor heart failure monitoring algorithm: results from the multisensor monitoring in congestive heart failure (MUSIC) study. J Card Fail 2012; 18:289-95. [PMID: 22464769 DOI: 10.1016/j.cardfail.2012.01.009] [Citation(s) in RCA: 49] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/27/2011] [Revised: 12/13/2011] [Accepted: 01/05/2012] [Indexed: 11/28/2022]
Abstract
BACKGROUND Remote monitoring of heart failure (HF) patients may help in the early detection of acute decompensation before the onset of symptoms, providing the opportunity for early intervention to reduce HF-related hospitalizations, improve outcomes, and lower costs. METHODS AND RESULTS MUSIC is a multicenter nonrandomized study designed to develop and validate an algorithm for prediction of impending acute HF decompensation with the use of physiologic signals obtained from an external device adhered to the chest. A total of 543 HF patients (206 development, 337 validation) with ejection fraction ≤40% and a recent HF admission were enrolled. Patients were remotely monitored for 90 days using a multisensor device. Accounting for device failure and patient withdrawal, 314 patients (114 development, 200 validation) were included in the analysis. Development patient data were used to develop a multiparameter HF detection algorithm. Algorithm performance in the development cohort had 65% sensitivity, 90% specificity, and a false positive rate of 0.7 per patient-year for detection of HF events. In the validation cohort, algorithm performance met the prespecified end points with 63% sensitivity, 92% specificity, and a false positive rate of 0.9 per patient-year. The overall rate of significant adverse skin response was 0.4%. CONCLUSION Using an external multisensor monitoring system, an HF decompensation prediction algorithm was developed that met the prespecified performance end point. Further studies are required to determine whether the use of this system will improve patient outcomes.
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Affiliation(s)
- Inder S Anand
- Veterans Administration Medical Center, Minneapolis, Minnesota, USA.
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Hielscher AH, Kim HK, Montejo LD, Blaschke S, Netz UJ, Zwaka PA, Illing G, Muller GA, Beuthan J. Frequency-domain optical tomographic imaging of arthritic finger joints. IEEE TRANSACTIONS ON MEDICAL IMAGING 2011; 30:1725-36. [PMID: 21964730 DOI: 10.1109/tmi.2011.2135374] [Citation(s) in RCA: 29] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/03/2023]
Abstract
We are presenting data from the largest clinical trial on optical tomographic imaging of finger joints to date. Overall we evaluated 99 fingers of patients affected by rheumatoid arthritis (RA) and 120 fingers from healthy volunteers. Using frequency-domain imaging techniques we show that sensitivities and specificities of 0.85 and higher can be achieved in detecting RA. This is accomplished by deriving multiple optical parameters from the optical tomographic images and combining them for the statistical analysis. Parameters derived from the scattering coefficient perform slightly better than absorption derived parameters. Furthermore we found that data obtained at 600 MHz leads to better classification results than data obtained at 0 or 300 MHz.
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Affiliation(s)
- Andreas H Hielscher
- Department of Biomedical Engineering, Columbia University, New York 10027, USA.
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Klose CD, Klose AD, Netz UJ, Scheel AK, Beuthan J, Hielscher AH. Computer-aided interpretation approach for optical tomographic images. JOURNAL OF BIOMEDICAL OPTICS 2010; 15:066020. [PMID: 21198194 PMCID: PMC3017575 DOI: 10.1117/1.3516705] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/14/2023]
Abstract
A computer-aided interpretation approach is proposed to detect rheumatic arthritis (RA) in human finger joints using optical tomographic images. The image interpretation method employs a classification algorithm that makes use of a so-called self-organizing mapping scheme to classify fingers as either affected or unaffected by RA. Unlike in previous studies, this allows for combining multiple image features, such as minimum and maximum values of the absorption coefficient for identifying affected and not affected joints. Classification performances obtained by the proposed method were evaluated in terms of sensitivity, specificity, Youden index, and mutual information. Different methods (i.e., clinical diagnostics, ultrasound imaging, magnet resonance imaging, and inspection of optical tomographic images), were used to produce ground truth benchmarks to determine the performance of image interpretations. Using data from 100 finger joints, findings suggest that some parameter combinations lead to higher sensitivities, while others to higher specificities when compared to single parameter classifications employed in previous studies. Maximum performances are reached when combining the minimum/maximum ratio of the absorption coefficient and image variance. In this case, sensitivities and specificities over 0.9 can be achieved. These values are much higher than values obtained when only single parameter classifications were used, where sensitivities and specificities remained well below 0.8.
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Affiliation(s)
- Christian D Klose
- Columbia University, Department of Biomedical Engineering, New York, NY 10027, USA
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Busch DR, Guo W, Choe R, Durduran T, Feldman MD, Mies C, Rosen MA, Schnall MD, Czerniecki BJ, Tchou J, DeMichele A, Putt ME, Yodh AG. Computer aided automatic detection of malignant lesions in diffuse optical mammography. Med Phys 2010; 37:1840-9. [PMID: 20443506 DOI: 10.1118/1.3314075] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/21/2023] Open
Abstract
PURPOSE Computer aided detection (CAD) data analysis procedures are introduced and applied to derive composite diffuse optical tomography (DOT) signatures of malignancy in human breast tissue. In contrast to previous optical mammography analysis schemes, the new statistical approach utilizes optical property distributions across multiple subjects and across the many voxels of each subject. The methodology is tested in a population of 35 biopsy-confirmed malignant lesions. METHODS DOT CAD employs multiparameter, multivoxel, multisubject measurements to derive a simple function that transforms DOT images of tissue chromophores and scattering into a probability of malignancy tomogram. The formalism incorporates both intrasubject spatial heterogeneity and intersubject distributions of physiological properties derived from a population of cancercontaining breasts (the training set). A weighted combination of physiological parameters from the training set define a malignancy parameter (M), with the weighting factors optimized by logistic regression to separate training-set cancer voxels from training-set healthy voxels. The utility of M is examined, employing 3D DOT images from an additional subjects (the test set). RESULTS Initial results confirm that the automated technique can produce tomograms that distinguish healthy from malignant tissue. When compared to a gold standard tissue segmentation, this protocol produced an average true positive rate (sensitivity) of 89% and a true negative rate (specificity) of 94% using an empirically chosen probability threshold. CONCLUSIONS This study suggests that the automated multisubject, multivoxel, multiparameter statistical analysis of diffuse optical data is potentially quite useful, producing tomograms that distinguish healthy from malignant tissue. This type of data analysis may also prove useful for suppression of image artifacts.
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Affiliation(s)
- David R Busch
- Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA.
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