Skip to main content
Log in

A polynomial based algorithm for detection of embolism

  • Methodologies and Application
  • Published:
Soft Computing Aims and scope Submit manuscript

Abstract

The Transcranial Doppler ultrasound can be used to detect asymptomatic circulating cerebral emboli. Emboli indicate particles that can plug the arterial system. Asymptomatic emboli signals help to discover critical stroke events by taking the embolus activities into consideration. Cerebral emboli detection is searched deeply in the literature. But none of them proposed a polynomial method to generalize the solution of the emboli detection. High Dimensional Model Representation (HDMR) philosophy is an effective way of generating an analytical model for a given multivariate data modeling problem, that is, HDMR can be used in constructing a general polynomial model for detecting embolism. In this study, emboli related data set was collected from \(35\) different patients. HDMR based methods and various data mining techniques were used to detect emboli through that data set. The Euclidean Matrix Based Indexing HDMR method has an important superiority in terms of generating a polynomial model which can then be used in other emboli detection problems without a training process. The method also shows satisfactory results in generalizing the emboli characteristics when compared with the other methods.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1

Similar content being viewed by others

References

  • Aydin N, Marvasti F, Markus HS (2004) Embolic doppler ultrasound signal detection using discrete wavelet transform. IEEE Trans Inf Technol Biomed 8(2):182–190

    Article  Google Scholar 

  • Banerjee I, Ierapetritou MG (2004) Model independent parametric decision making. Ann Oper Res 132(1–4):135–155

    Article  MATH  Google Scholar 

  • Chowdhury R, Rao BN, Prasad A (2008) High dimensional model representation for piece-wise continuous function approximation. Commun Numer Meth Eng 24:1587–1609

    Article  MATH  MathSciNet  Google Scholar 

  • Chung E, Fan LK, Degg C, Evans DH (2005) Detection of doppler embolic signals: psychoacoustic considerations. Ultrasound Med Biol 31:1177–1184

    Article  Google Scholar 

  • Contreras RJ, Vellasco MMBR, Tanscheit R (2011) Hierarchical type-2 neuro-fuzzy bsp model. Inf Sci 181(15):3210–3224

    Article  Google Scholar 

  • Deitel HM, Deitel PJ, Nieto TR, McPhie DC (2001) How to program perl. Prentice Hall, New Jersey

    Google Scholar 

  • Demiralp M (2003) High dimensional model representation and its application varieties. Math Res 9:146–159

    MathSciNet  Google Scholar 

  • Felkin M (2007) Comparing classification results between n-ary and binary problems. Stud Comput Intell 43:277–301

    Article  Google Scholar 

  • Frank E, Witten IH (2005) Data mining: practical machine learning tools and techniques. Morgan Kaufmann, San Francisco

    Google Scholar 

  • Girault JM, Biard M, Kouame D, Bleuzen A, Tranquart F (2006) Spectral correlation of the embolic blood doppler signal. Acoustics, speech and signal processing (ICASSP 2006) In: Proceedings 2:1200–1203

  • Girault JM, Kouame D, Tranquart F (2007) Synchronous detection of emboli by wavelet packet decomposition. Acoustics, speech and signal processing (ICASSP 2007) In: Proceedings 1:409–412

  • Hall M, Frank E, Holmes G, Pfahringer B, Reutemann P, Witten IH (2009) The WEKA data mining software: an update. SIGKDD Explor 11(1):10–18

    Article  Google Scholar 

  • Karahoca A, Kucur T, Aydin N (2007) Data mining usage in emboli detection. In: Proceedings of ECSIS Symposium on bio-inspired, learning, and intelligent systems for security (BLISS 2007), pp 159–162

  • Karahoca A, Tunga MA (2012) Dosage planning for type 2 diabetes mellitus patients using indexing hdmr. Exp Syst Appl 39(8):7207–7215

    Article  Google Scholar 

  • Kouame D, Biard M, Girault JM, Bleuzen A (2006) Adaptive ar and neurofuzzy approaches: access to cerebral particle signatures. IEEE Trans Inf Technol Biomed 10(3):559–566

    Article  Google Scholar 

  • Li GY, Rabitz H, Hu JS, Chen Z, Ju YG (2008) Regularized random-sampling high dimensional model representation (rs-hdmr). J Math Chem 43:1207–1232

    Article  MATH  MathSciNet  Google Scholar 

  • Mackinnon AD, Aaslid R, Markus HS (2005) Ambulatory transcranial doppler cerebral embolic signal detection in symptomatic and asymptomatic carotid stenosis. Stroke 36:1726–1730

    Article  Google Scholar 

  • Marvasti SA, Ghandi M, Marvasti AA, Deb A, Markus HS, Gillies D (2005) Improved detection of embolic signals using multi scale wavelet filtering, ar and ann, for tcd ultrasound. Med Appl Sign Proc 11199:59–64

    Google Scholar 

  • Miller M, Feng XJ, Li GY, Rabitz H (2009) Nonlinear bionetwork structure inference using the random sampling-high dimensional model representation (rs-hdmr) algorithm. In: Annual International Conference of the IEEE Eengineering in Medicine and Biology Society (EMBC 2009) 1(20):6412–6415

  • Nebuya S, Noshiro M, Brown BH, Smallwood RH, Milnes P (2004) Estimation of the size of air emboli detectable by electrical impedance measurement. Med Biol Eng Comput 42:142–144

    Article  Google Scholar 

  • Oevel W, Postel F, Wehmeier S, Gerhard J (2000) The MuPAD tutorial. Springer, New York

    Book  Google Scholar 

  • Palanchon P, Bouakaz A, Klein J, de Jong N (2005) Multifrequency transducer for microemboli classification and sizing. IEEE Trans Biomed Eng 52:2087–2092

    Article  Google Scholar 

  • Quinlan JR (1993) C4.5: programs for machine learning. Morgan Kaufmann Publishers Inc., San Francisco

    Google Scholar 

  • Rodriguez RA, Rubens F, Rodriguez CD, Nathan HJ (2006) Sources of variability in the detection of cerebral emboli with transcranial doppler during cardiac surgery. J Neuroimag 16:126–132

    Article  Google Scholar 

  • Serpen G, Tekkedil DK, Orra M (2008) A knowledge-based artificial neural network classifier for pulmonary embolism diagnosis. Comput Biol Med 38(2):204–220

    Article  Google Scholar 

  • Sobol IM (1993) Sensitivity estimates for nonlinear mathematical models. Math Model Comput Exp 1:407–414

    MATH  MathSciNet  Google Scholar 

  • Spencer MP (1997) Transcranial doppler monitoring and causes of stroke from carotid endarterectomy. Stroke 28:685–691

    Article  Google Scholar 

  • Tunga MA, Demiralp M (2003) Data partitioning via generalized high dimensional model representation (ghdmr) and multivariate interpolative applications. Math Res 9:447–462

    Google Scholar 

  • Tunga MA, Demiralp M (2008) A new approach for data partitioning through high dimensional model representation. Int J Comput Math 85(12):1779–1792

    Google Scholar 

  • Tunga B, Demiralp M (2009) Constancy maximization based weight optimization in high dimensional model representation. Numer Algor 52(3):435–459

    Google Scholar 

  • Tunga MA (2011a) An approximation method to model multivariate interpolation problems: indexing hdmr. Math Comput Modell 53(9–10):1970–1982

    Article  MATH  MathSciNet  Google Scholar 

  • Tunga MA (2011b) A matrix based indexing hdmr method for multivariate data modelling. J Math Chem 49:1092–1114

    Article  MATH  MathSciNet  Google Scholar 

  • Xu D, Wang Y (2007) An automated feature extraction and emboli detection system based on the pca and fuzzy sets. Comput Biol Med 37(6):861–871

    Article  Google Scholar 

  • Ziehn T, Tomlin AS (2008) A global sensitivity study of sulfur chemistry in a premixed methane flame model using hdmr. Int J Chem Kinet 40:742–753

    Article  Google Scholar 

  • Ziehn T, Tomlin AS (2009) Gui-hdmr—a software tool for global sensitivity analysis of complex models. Environ Modell Softw 24:775–785

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Adem Karahoca.

Additional information

Communicated by M. J. Watts.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Karahoca, A., Tunga, M.A. A polynomial based algorithm for detection of embolism. Soft Comput 19, 167–177 (2015). https://doi.org/10.1007/s00500-014-1240-x

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00500-014-1240-x

Keywords

Navigation