Model‐based and data‐driven with multiscale sum of squares double EWMA control chart for fault detection in biological systems

The objectives of this paper will be sought. First, an enhanced technique that can accurately model biological processes will be developed. To deal with scenarios where a process model is available, the particle filter method will be developed to better handle the nonlinear and high‐dimensional state estimation problem. Second, a multiscale sum of squares double exponentially weighted moving average (MS‐SS‐DEWMA) chart will be applied to the monitored residuals in order to enhance the fault detection abilities. The advantage of MS‐SS‐DEWMA chart is twofold: (1) The SS‐DEWMA chart uses the sum of squares statistics; it simultaneously monitors the process mean and variance in a single chart. It has presented better performance than the classical EWMA‐based charts. (2) The multiscale data representation can be used as an effective tool for reducing noise from a signal's time series. The effectiveness of the proposed strategy is validated using a synthetic and simulated Cad system in Escherichia coli (CSEC) data. When the simulated CSEC model is used, the developed approach is applied for monitoring some of the key variables involved in the CSEC model. The proposed strategy is also applied to detect diseases using genomic copy number data through better detection of aberrations in the genetic information of patients, which can help medical doctors make more accurate diagnosis of diseases.

[1]  S. J. Qin,et al.  An alternative PLS algorithm for the monitoring of industrial process , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[2]  Pablo A. Iglesias,et al.  Optimal Noise Filtering in the Chemotactic Response of Escherichia coli , 2006, PLoS Comput. Biol..

[3]  Hazem Nounou,et al.  Kernel PLS-based GLRT method for fault detection of chemical processes , 2016 .

[4]  Hazem Nounou,et al.  Wavelet optimized EWMA for fault detection and application to photovoltaic systems , 2018, Solar Energy.

[5]  Prospero C. Naval,et al.  Parameter estimation using Simulated Annealing for S-system models of biochemical networks , 2007, Bioinform..

[6]  Ajay N. Jain,et al.  Assembly of microarrays for genome-wide measurement of DNA copy number , 2001, Nature Genetics.

[7]  Hazem Nounou,et al.  Statistical fault detection using PCA-based GLR hypothesis testing , 2013 .

[8]  Hazem Nounou,et al.  Modeling of nonlinear biological phenomena modeled by S-systems using Bayesian method , 2012 .

[9]  Yuanqing Xia,et al.  A new sampling method in particle filter based on Pearson correlation coefficient , 2016, Neurocomputing.

[10]  Fred Spiring,et al.  Introduction to Statistical Quality Control , 2007, Technometrics.

[11]  Shantanu Datta,et al.  A review on different pipeline fault detection methods , 2016 .

[12]  Wei Jiang,et al.  A One-Sided EWMA Control Chart for Monitoring Process Means , 2007, Commun. Stat. Simul. Comput..

[13]  A. Doucet,et al.  A Tutorial on Particle Filtering and Smoothing: Fifteen years later , 2008 .

[14]  Hazem Nounou,et al.  Kernel PCA-based GLRT for nonlinear fault detection of chemical processes , 2016 .

[15]  Zheng Chen,et al.  Fault Detection of Drinking Water Treatment Process Using PCA and Hotelling's T2 Chart , 2009 .

[16]  Michael B. C. Khoo,et al.  Comparing the performances of the Optimal SS-DEWMA and Max-DEWMA Control Charts , 2010 .

[17]  J M Picukaric,et al.  Monitoring transfusionist practices: a strategy for improving transfusion safety , 1994, Transfusion.

[18]  Jonas S. Almeida,et al.  Decoupling dynamical systems for pathway identification from metabolic profiles , 2004, Bioinform..

[19]  Majdi Mansouri,et al.  Multiscale Kernel PLS-Based Exponentially Weighted-GLRT and Its Application to Fault Detection , 2019, IEEE Transactions on Emerging Topics in Computational Intelligence.

[20]  Hazem N. Nounou,et al.  Parameter Estimation of Biological Phenomena: An Unscented Kalman Filter Approach , 2013, IEEE/ACM Transactions on Computational Biology and Bioinformatics.

[21]  A.H. Tewfik,et al.  DNA Copy Number Detection and Sigma Filter , 2007, 2007 IEEE International Workshop on Genomic Signal Processing and Statistics.

[22]  Hazem N. Nounou,et al.  Multiscale Denoising of Biological Data: A Comparative Analysis , 2012, IEEE/ACM Transactions on Computational Biology and Bioinformatics.

[23]  Iman Hajirasouliha,et al.  Detecting independent and recurrent copy number aberrations using interval graphs , 2014, Bioinform..

[24]  A. M. Benkouider,et al.  Fault detection in semi-batch reactor using the EKF and statistical method , 2009 .

[25]  Huaguang Zhang,et al.  Identification-oriented robust finite memory fault detection filter design for networked industrial process with fading channel communication , 2017, Neurocomputing.

[26]  Neil J. Gordon,et al.  A tutorial on particle filters for online nonlinear/non-Gaussian Bayesian tracking , 2002, IEEE Trans. Signal Process..

[27]  Sesh Prativadi A Review of: “Handbook of Experimental Methods for Process Improvement” David Drain Chapman & Hall, New York, ISBN 0-412-12701-6 , 1998 .

[28]  Zhang Wu,et al.  Monitoring Process Mean and Variability with One Double EWMA Chart , 2010 .

[29]  Majdi Mansouri,et al.  Modeling and prediction of nonlinear environmental system using Bayesian methods , 2013 .

[30]  Dimitris K. Tasoulis,et al.  Exponentially weighted moving average charts for detecting concept drift , 2012, Pattern Recognit. Lett..

[31]  Ke Yan,et al.  Online fault detection methods for chillers combining extended kalman filter and recursive one-class SVM , 2017, Neurocomputing.

[32]  J. Aronson Safety , 2009, BMJ : British Medical Journal.

[33]  T. Harris,et al.  Statistical process control procedures for correlated observations , 1991 .

[34]  Riccardo Muradore,et al.  A PLS-Based Statistical Approach for Fault Detection and Isolation of Robotic Manipulators , 2012, IEEE Transactions on Industrial Electronics.

[35]  Hazem N. Nounou,et al.  State and parameter estimation for nonlinear biological phenomena modeled by S-systems , 2014, Digit. Signal Process..

[36]  Emilio García Moreno,et al.  Integration of techniques for early fault detection and diagnosis for improving process safety: Application to a Fluid Catalytic Cracking refinery process , 2013 .

[37]  Hazem N. Nounou,et al.  Improved Statistical Fault Detection Technique and Application to Biological Phenomena Modeled by S-Systems , 2017, IEEE Transactions on NanoBioscience.

[38]  Michal Zajac Online fault detection of a mobile robot with a parallelized particle filter , 2014, Neurocomputing.

[39]  Grigore Rosu,et al.  Efficient monitoring of safety properties , 2004, International Journal on Software Tools for Technology Transfer.

[40]  E. S. Page CONTINUOUS INSPECTION SCHEMES , 1954 .

[41]  M. K. Hart,et al.  Shewhart Control Charts for Individuals with Time-Ordered Data , 1992 .

[42]  Zhang Wu,et al.  A sum of squares double exponentially weighted moving average chart , 2011, Comput. Ind. Eng..

[43]  Philippe Castagliola,et al.  Computational Statistics and Data Analysis an Ewma Chart for Monitoring the Process Standard Deviation When Parameters Are Estimated , 2022 .

[44]  Michał Zajc Online fault detection of a mobile robot with a parallelized particle filter , 2014 .

[45]  Zainal Ahmad,et al.  Optimum parameters for fault detection and diagnosis system of batch reaction using multiple neural networks , 2012 .

[46]  Giovanni Celano,et al.  Monitoring Process Variability using EWMA , 2006 .

[47]  Hazem Nounou,et al.  Statistical Fault Detection of Chemical Process - Comparative Studies , 2015 .

[48]  C. Quesenberry On Properties of Q Charts for Variables , 1995 .