Two-Dimensional Matrix Algorithm Using Detrended Fluctuation Analysis to Distinguish Burkitt and Diffuse Large B-Cell Lymphoma

A detrended fluctuation analysis (DFA) method is applied to image analysis. The 2-dimensional (2D) DFA algorithms is proposed for recharacterizing images of lymph sections. Due to Burkitt lymphoma (BL) and diffuse large B-cell lymphoma (DLBCL), there is a significant different 5-year survival rates after multiagent chemotherapy. Therefore, distinguishing the difference between BL and DLBCL is very important. In this study, eighteen BL images were classified as group A, which have one to five cytogenetic changes. Ten BL images were classified as group B, which have more than five cytogenetic changes. Both groups A and B BLs are aggressive lymphomas, which grow very fast and require more intensive chemotherapy. Finally, ten DLBCL images were classified as group C. The short-term correlation exponent α1 values of DFA of groups A, B, and C were 0.370 ± 0.033, 0.382 ± 0.022, and 0.435 ± 0.053, respectively. It was found that α1 value of BL image was significantly lower (P < 0.05) than DLBCL. However, there is no difference between the groups A and B BLs. Hence, it can be concluded that α1 value based on DFA statistics concept can clearly distinguish BL and DLBCL image.

[1]  Shang Peng-jian Statistical Properties of Detrended Cross-Correlation Analysis , 2010 .

[2]  Wei-Xing Zhou,et al.  Detrended fluctuation analysis for fractals and multifractals in higher dimensions. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[3]  Jiann-Shing Shieh,et al.  NONRANDOMNESS INDEX APPLIED FOR HEART RATE VARIABILITY IN SURGICAL INTENSIVE CARE UNITS USING FREQUENCY AND RANK ORDER STATISTICS , 2007 .

[4]  A L Goldberger,et al.  Heart rate dynamics in patients with stable angina pectoris and utility of fractal and complexity measures. , 1998, The American journal of cardiology.

[5]  H. Stanley,et al.  Detrended cross-correlation analysis: a new method for analyzing two nonstationary time series. , 2007, Physical review letters.

[6]  C. Bellan,et al.  Burkitt lymphoma versus diffuse large B‐cell lymphoma: a practical approach , 2009, Hematological oncology.

[7]  Jeffrey M. Hausdorff,et al.  Altered fractal dynamics of gait: reduced stride-interval correlations with aging and Huntington's disease. , 1997, Journal of applied physiology.

[8]  R. Weron Estimating long range dependence: finite sample properties and confidence intervals , 2001, cond-mat/0103510.

[9]  In-Young Kim,et al.  Nonlinear-analysis of human sleep EEG using detrended fluctuation analysis. , 2004, Medical engineering & physics.

[10]  Wei‐Xing Zhou Multifractal detrended cross-correlation analysis for two nonstationary signals. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  H. Nakamine,et al.  The Distinction between Burkitt Lymphoma and Diffuse Large B-Cell Lymphoma with c-myc Rearrangement , 2002, Modern Pathology.

[12]  Radhakrishnan Nagarajan,et al.  Minimizing the effect of periodic and quasi-periodic trends in detrended fluctuation analysis , 2005 .

[13]  H. Stanley,et al.  Quantification of scaling exponents and crossover phenomena in nonstationary heartbeat time series. , 1995, Chaos.

[14]  C. Peng,et al.  Mosaic organization of DNA nucleotides. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[15]  Nacim Betrouni,et al.  Fractal and multifractal analysis: A review , 2009, Medical Image Anal..

[16]  Jeffrey M. Hausdorff,et al.  Fractal dynamics in physiology: Alterations with disease and aging , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[17]  Anna Carbone,et al.  Algorithm to estimate the Hurst exponent of high-dimensional fractals. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[18]  Frank Moss,et al.  Long-range temporal anti-correlations in paddlefish electroreceptors , 2001 .

[19]  Jiann-Shing Shieh,et al.  DETRENDED FLUCTUATION ANALYSES OF SHORT-TERM HEART RATE VARIABILITY IN SURGICAL INTENSIVE CARE UNITS , 2006 .

[20]  Pilar Grau-Carles,et al.  Long-range power-law correlations in stock returns , 2001 .

[21]  A L Goldberger,et al.  Dynamic analysis of heart rate may predict subsequent ventricular tachycardia after myocardial infarction. , 1997, The American journal of cardiology.

[22]  B. Mandlebrot The Variation of Certain Speculative Prices , 1963 .

[23]  Djordje Stratimirović,et al.  Detrended fluctuation analysis of time series of a firing fusimotor neuron , 1999 .

[24]  A L Goldberger,et al.  Heart rate dynamics before spontaneous onset of ventricular fibrillation in patients with healed myocardial infarcts. , 1999, The American journal of cardiology.

[25]  L. Staudt,et al.  Confirmation of the molecular classification of diffuse large B-cell lymphoma by immunohistochemistry using a tissue microarray. , 2004, Blood.

[26]  J. Shieh,et al.  Detrended fluctuation analysis of short-term heart rate variability in late pregnant women , 2009, Autonomic Neuroscience.

[27]  S. Rombouts,et al.  Disturbed fluctuations of resting state EEG synchronization in Alzheimer's disease , 2005, Clinical Neurophysiology.

[28]  W. Klonowski Signal and image analysis using chaos theory and fractal geometry , 2000 .

[29]  Wei-Xing Zhou,et al.  Detrending moving average algorithm for multifractals. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[30]  Taizo Hanai,et al.  Fuzzy Neural Network Applied to Gene Expression Profiling for Predicting the Prognosis of Diffuse Large B‐cell Lymphoma , 2002, Japanese journal of cancer research : Gann.

[31]  Maysam F. Abbod,et al.  Diffuse large B-cell lymphoma classification using linguistic analysis and ensembled artificial neural networks , 2012 .

[32]  Zhi-Qiang Jiang,et al.  Multifractal detrending moving-average cross-correlation analysis. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[33]  J. Shieh,et al.  Parameter Investigation of Detrended Fluctuation Analysis for Short-term Human Heart Rate Variability , 2010 .

[34]  H E Stanley,et al.  Statistical physics and physiology: monofractal and multifractal approaches. , 1999, Physica A.

[35]  Adrian Wiestner,et al.  A gene expression-based method to diagnose clinically distinct subgroups of diffuse large B cell lymphoma , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[36]  Shunsuke Sato,et al.  Identification of development and autonomic nerve activity from heart rate variability in preterm infants. , 2005, Bio Systems.

[37]  Yi Gang,et al.  Fractal correlation properties of R‐R interval dynamics in asymptomatic relatives of patients with dilated cardiomyopathy ☆ , 2002, European journal of heart failure.

[38]  Monika Ritsch-Marte,et al.  A new method for change-point detection developed for on-line analysis of the heart beat variability during sleep , 2005 .

[39]  Dae-Jin Kim,et al.  Detrended fluctuation analysis of EEG in sleep apnea using MIT/BIH polysomnography data , 2002, Comput. Biol. Medicine.

[40]  Michal Veselý,et al.  Fractal Analysis of Image Structures , 2001 .

[41]  Y. Ning,et al.  C-MYC rearrangements are frequent in aggressive mature B-Cell lymphoma with atypical morphology. , 2008, International journal of clinical and experimental pathology.

[42]  C. Peng,et al.  Long-range correlations in nucleotide sequences , 1992, Nature.