Arteriovenous Shunt Stenosis Evaluation Using a Fractional-Order Fuzzy Petri Net Based Screening System for Long-Term Hemodialysis Patients

This paper proposes the evaluation of arteriovenous shunt (AVS) stenosis using a fractional-order Fuzzy Petri net based screening system for long-term hemodialysis treatment of patients. The screening system uses the Burg method, the fractional-order chaos system, and the Fuzzy Petri net (FPN) for early detection of AVS dysfunction. The Burg method is an autoregressive (AR) model that is used to estimate the frequency spectra of a phonoangiographic signal and to identify the spectral peaks in the region from 25 Hz to 800 Hz. In AVS, the frequency spectrum varies between normal blood flow and turbulent flow. The power spectra demonstrate changes in frequency and amplitude as the degree of stenosis changes. A screening system combining fractional-order chaos system and FPN is used to track the differences in the frequency spectra between the normal and stenosis access. The dynamic errors are indexes that can be used to evaluate the degree of AVS stenosis using a FPN. For 42 long-term follow-up patients, testing results show that the proposed screening system is more efficient in the evaluation of AVS stenosis.

[1]  Chyi Hwang,et al.  A note on time-domain simulation of feedback fractional-order systems , 2002, IEEE Trans. Autom. Control..

[2]  Chia-Hung Lin,et al.  Sprott chaos synchronisation classifier for diabetic foot peripheral vascular occlusive disease estimation , 2012 .

[3]  Prabir Roy-Chaudhury,et al.  Hemodialysis vascular access dysfunction: a cellular and molecular viewpoint. , 2006, Journal of the American Society of Nephrology : JASN.

[4]  Bengt Mandersson,et al.  Arteriovenous fistula stenosis detection using wavelets and support vector machines , 2009, 2009 Annual International Conference of the IEEE Engineering in Medicine and Biology Society.

[5]  Chengbin Ma,et al.  Fractional-order control: Theory and applications in motion control [Past and present] , 2007, IEEE Industrial Electronics Magazine.

[6]  Shyi-Ming Chen,et al.  Fuzzy backward reasoning using fuzzy Petri nets , 2000, IEEE Trans. Syst. Man Cybern. Part B.

[7]  Syed I. Ahson Petri net models of fuzzy neural networks , 1995, IEEE Trans. Syst. Man Cybern..

[8]  Z. Ge,et al.  Chaos in a generalized van der Pol system and in its fractional order system , 2007 .

[9]  L. Sankaran,et al.  National Institutes of Health National Institute of Diabetes and Digestive and Kidney Diseases; Notice of Closed Meetings , 2005 .

[10]  I. Kauppinen,et al.  Frequency warped Burg's method for AR-modeling , 2003, 2003 IEEE Workshop on Applications of Signal Processing to Audio and Acoustics (IEEE Cat. No.03TH8684).

[11]  Paul K. Joseph,et al.  Analysis of EEG signals with and without reflexology using FFT and auto re- gressive modelling techniques , 2006 .

[12]  Shang-Jyh Hwang,et al.  Prevalence and risk factors for CKD in spouses and relatives of hemodialysis patients. , 2010, American journal of kidney diseases : the official journal of the National Kidney Foundation.

[13]  C. G. Looney,et al.  Logical controls via Boolean rule matrix transformations , 1987, IEEE Transactions on Systems, Man, and Cybernetics.

[14]  J.L. Semmlow,et al.  Noninvasive acoustical detection of coronary artery disease: a comparative study of signal processing methods , 1993, IEEE Transactions on Biomedical Engineering.

[15]  Johannes J. Struijk,et al.  No evidence of nonlinear or chaotic behavior of cardiovascular murmurs , 2011, Biomed. Signal Process. Control..

[16]  Jian-Liung Chen,et al.  Diabetic foot peripheral vascular occlusive disease estimation using fractional-order chaos synchronization detector , 2011, Proceedings of 2011 International Conference on Fluid Power and Mechatronics.

[17]  Saman K. Halgamuge,et al.  Self-organizing hierarchical particle swarm optimizer with time-varying acceleration coefficients , 2004, IEEE Transactions on Evolutionary Computation.

[18]  Shyi-Ming Chen,et al.  Weighted fuzzy reasoning using weighted fuzzy Petri nets , 2002 .

[19]  R. Schwartz,et al.  Beneficial effects of banding on venous intimal-medial hyperplasia in arteriovenous loop grafts. , 1989, American journal of surgery.

[20]  José de Jesús Rubio,et al.  SOFMLS: Online Self-Organizing Fuzzy Modified Least-Squares Network , 2009, IEEE Transactions on Fuzzy Systems.

[21]  Juhn-Horng Chen,et al.  Controlling chaos and chaotification in the Chen–Lee system by multiple time delays , 2008 .

[22]  Fei-Shih Yang,et al.  Interventional Treatment for Complete Occlusion of Arteriovenous Shunt: Our Experience in 39 Cases , 2003 .

[23]  P. Blankestijn,et al.  Short- and long-term functional effects of percutaneous transluminal angioplasty in hemodialysis vascular access. , 2002, Journal of the American Society of Nephrology : JASN.

[24]  H J Meiselman,et al.  Osmolality-mediated Fahraeus and Fahraeus-Lindqvist effects for human RBC suspensions. , 1988, The American journal of physiology.

[25]  Richard Sandler,et al.  Computerised analysis of auscultatory sounds associated with vascular patency of haemodialysis access , 2006, Medical and Biological Engineering and Computing.

[26]  I. Podlubny Fractional differential equations , 1998 .

[27]  David Roth,et al.  Inflow stenosis in arteriovenous fistulas and grafts: a multicenter, prospective study. , 2005, Kidney international.

[28]  Guoqing Chen,et al.  A Fuzzy Petri-Nets Model for Computing With Words , 2009, IEEE Transactions on Fuzzy Systems.

[29]  J. Éthier,et al.  Clinical practice guidelines for vascular access. , 2006, American journal of kidney diseases : the official journal of the National Kidney Foundation.

[30]  P. Fischer,et al.  Blood Flow in End-to-Side Anastomoses ∗ , 2008 .

[31]  Pei-Jarn Chen,et al.  Phonographic signal with a fractional-order chaotic system: a novel and simple algorithm for analyzing residual arteriovenous access stenosis , 2013, Medical & Biological Engineering & Computing.

[32]  M. Robbin,et al.  Hemodialysis vascular access monitoring: Current concepts , 2009, Hemodialysis international. International Symposium on Home Hemodialysis.

[33]  Tian Li-xin Synchronization of two different chaotic systems , 2006 .

[34]  Johannes J. Struijk,et al.  Stenosis Detection Algorithm for Screening of Arteriovenous Fistulae , 2011 .