Skip to main content

Fuzzy Logic and Possibility Theory in Biomedical Engineering

  • Chapter
  • 835 Accesses

Part of the book series: The Handbooks of Fuzzy Sets Series ((FSHS,volume 6))

Abstract

Living biological systems are consisting of countless self organised structures and the underlying characteristics of their interaction is often not completely understood. Biomedical engineering can employ different modelling techniques to describe these complex systems in a generalised way. Most of the physiologic models today are defined quantitatively with techniques which were developed for linear systems and control theory.

Because of the complexity in biological systems, accurate mathematical models fail and the fuzzy approach offers a fully deterministic solution on a higher level of abstraction. The expert’s knowledge of both the experienced physicians and the biomedical engineers is an important source of information for the design of intelligent machines.

Two applications where fuzzy sets are employed successfully are described. The first example comes from the field of intelligent real time monitoring in anaesthesia and supports the anaesthesiologist in his decision making process on the patient’s haemodynamic state. The second example describes the implementation of a fuzzy controller for a total artificial heart (TAH). After these introductory examples some other applications from different medical fields which employ the fuzzy set theory are briefly discussed.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Abou-Chadi-FE, Ezzat-FA, Sif-el-Din-AA: A fuzzy pattern recognition method to classify oesophageal motility records. Ann-Biomed-Eng, 1994 Jan-Feb, 22(1), 112–9

    Article  Google Scholar 

  • Akay-YM, Akay-M, Welkowitz-W, Kostis-J: Non-invasive detection of coronary artery disease. IEEE Eng Med Biol Magazine, 13(5), 1994, 761–4

    Article  Google Scholar 

  • Arzi-M, Magnin-M: A fuzzy set theoretical approach to automatic analysis of nystagmic eyemovements, IEEE-Trans-Biomed-Eng. 1989 Sep, 36(9), 954–63

    Article  Google Scholar 

  • Asbury-AJ, Tzabar-Y: Fuzzy logic: New ways of thinking for anaesthesia, Br-J-Anaesth, 1995, 75(1), 1–2

    Google Scholar 

  • Bartolin-R, Bouvenot-G, Soula-G, Sanchez-E: The fuzzy set theory as a biomedical diagnostic aid (author’s transi), Sem-Hop. 1982 Jun 3, 58(22), 1361–5

    Google Scholar 

  • Becker-K, Kaesmacher-H, Juffernbruch-K, Rau-G, Kalff-G, Zimmermann HJ: Acquisition of a “fuzzy” knowledge base for an intelligent alarm system. Helmholtz-Institute for Biomedical Engineering, Aachen, Research Report 1991/92 8, 176–83, 1993.

    Google Scholar 

  • Becker-K, Rau-G, Käsmacher-H, Petermeyer-M, Kalff-G, Zimmermann-HJ: Fuzzy logic approaches to intelligent alarms. IEEE Eng Med Biol Magazine, 13(5), 1994, 710–6

    Article  Google Scholar 

  • Becker-K: The employment of quantitative and qualitative models during implementation and validation of an intelligent decision support and alarm system for cardiac-anaesthesia. PhD- Thesis, RWTH-Aachen, Germany 1996, (in german)

    Google Scholar 

  • Becker-K, Thull B.Rau-G, Käsmacher-Leidinger-H, Stemmer-J, Rau-G, Kalff-G, Zimmermann-H-J: Design and validation of an intelligent patient monitoring and alarm system based on a fuzzy logic process model. Artif. Intell. Med. 11, 1997, 33–53

    Article  Google Scholar 

  • Bezdek-JC, Pal-SK (eds.), Fuzzy models for pattern recognition — Methods that search for structures in data. IEEE Press, 1992

    Google Scholar 

  • Borches-D, Ruiz-R, de-Miguel-E: Hypotension induced by sodium nitroprusside administered via an automatic-adaptive dose regulating system. Rev-Esp-Anestesiol-Reanim. 1991 Jan-Feb, 38(1), 3–7

    Google Scholar 

  • Brai-A, Vibert-JF, Koutlidis-R: An expert system for the analysis and interpretation of evoked potentials based on fuzzy classification: application to brainstem auditory evoked potentials, Comput-Biomed-Res. 1994 Oct, 27(5), 351–66

    Article  Google Scholar 

  • Bronzino-JD (ed.), The biomedical engineering handbook. IEEE Press 1995

    Google Scholar 

  • Cabello-D, Barro-S, Salceda-JM, Ruiz-R, Mira-J: Fuzzy K-nearest neighbor classifiers for ventricular arrhythmia detection., Int-J-Biomed-Comput. 1991 Feb, 27(2), 77–93

    Google Scholar 

  • Carollo-A, Tobar-A, Hernandez-C: A rule-based postoperative pain controller: simulation results, Int-J-Biomed-Comput. 1993 Nov, 33(3–4), 267–76

    Article  Google Scholar 

  • Cerutti-S, Timo-Pieri-C: A method for the quantification of the decision-making process in a computer-oriented medical world, Int-J-Biomed-Comput. 1981 Jan, 12(1), 29–57

    Article  Google Scholar 

  • Clark-MC, Hall-MO, Golgof-DB, Clark-LP, Velthuizen-RP, Silbiger-MS: MRI segmentation using fuzzy clustering techniques. IEEE Eng Med Biol Magazine, 13(5), 1994, 730–42

    Article  Google Scholar 

  • Clive-J, Woodbury-MA, Siegler-IC: Fuzzy and crisp set-theoretic-based classification of health and disease. A qualitative and quantitative comparison, J-Med-Syst. 1983 Aug, 7(4), 317–32

    Article  Google Scholar 

  • Cohen-KP, Tompkins-WJ, Djohan-A, Webster-JG, Hu-YU: QRS detection using a fuzzy neural network. Proc 17th IEEE Conf Eng Med Biol, 1995 Darling-CB: Database technology for medical records, Instr-Course-Lect. 1992, 41, 521–6

    Google Scholar 

  • Degani-R: Computerized electrocardiogram diagnosis fuzzy approach, Methods-Inf-Med. 1992 Nov, 31(4), 225–33

    Google Scholar 

  • Degani-R, Bartolan-G: Fuzzy numbers in computerized electrocardiography. Fuzzy Sets Systems 1987, 24, 345–62

    Article  Google Scholar 

  • Dove-EL, Philip-K, Gotteiner-NL, Vonesh-MJ, Rumberger-JA, Reed-JE, Stanford-W, McPherson-DD, Chandran-KB: A method for automatic edge detection and volume computation of the leftventricle from ultrafast computed tomographic images, Invest-Radiol. 1994 Nov, 29(11), 945–54

    Article  Google Scholar 

  • Fox-J: Some observations on fuzzy diagnosis and medical computing, Int-J-Biomed-Comput. 1977 Oct, 8(4), 269–75

    Article  Google Scholar 

  • Fukui-Y, Masuzawa-T: Development of fuzzy blood pressure control system. Iyodenshi-To-Seitai-Kogaku. 1989 Jun, 27(2), 79–85

    Google Scholar 

  • Greenhow-SG, Linkens-DA, Asbury-AJ: Pilot study of an expert system adviser for controlling general anaesthesia, Br-J-Anaesth. 1993 Sep, 71(3), 359–65

    Article  Google Scholar 

  • Held-CM, Roy-RJ: Multiple drug hemodynamic control by means of a supervisory-fuzzy rule-based adaptive control system: validation on a model, IEEE-Trans-Biomed-Eng. 1995 Apr, 42(4), 371–85

    Article  Google Scholar 

  • Hiramatsu-K, Kabasawa-K, Kaihara-S: Application of the fuzzy logic to medical diagnosis. Iyodenshi-To-Seitai-Kogaku. 1974 Jun, 12(3), 148–55

    Google Scholar 

  • Holzmann-C, Hasseldieck-U, Rosselot-E, Estevez-P, Andrade-A, Acuna-G: Interpretation module for screening normal ECG. Med Prog Technol 1990, 16(3), 163–71

    Google Scholar 

  • Hudson-DL, Cohen-ME: Fuzzy-logic in medical expert systems. IEEE Eng Med Biol Magazine, 13(5), 1994, 693–8

    Article  Google Scholar 

  • Jaulent-MC, Degoulet-P: Diagnosing renal atery lesions with a fuzzy logic model. IEEE Eng Med Biol Magazine, 13(5), 1994, 699–704

    Article  Google Scholar 

  • Kalmanson-D: Cardiovascular research and fuzzy sets theory. For an open policy inmedical research. Nouv-Presse-Med. 1973 Nov 17, 2(41), 2757–60

    Google Scholar 

  • Kalmanson-D, Stegall-HF: Cardiovascular investigations and fuzzy sets theory, Am-J-Cardiol. 1975 Jan, 35(1), 80–4

    Article  Google Scholar 

  • Kaufmann-R, Reul-H, Rau-G: Electromechanical artificial heart with a new gear type and angled pump chambers, Int J Artif Organs, 1994, 8, 481–7

    Google Scholar 

  • Kaufmann-R, Becker-K, Nix-C, Reul-H, Rau-G: Fuzzy control concept for a total artificial heart, Artif-Organs. 1995 Apr, 19(4), 355–61

    Article  Google Scholar 

  • Kulikowski-CA: History and development of artificial intelligence methods for medical decision making, in: Bronzino JD (ed.), The biomedical engineering handbook. IEEE Press 1995 2681–98

    Google Scholar 

  • Kuncheva-LI: Fuzzy multi-level classifier for medical applications, Comput-Biol-Med. 1990, 20(6), 421–31

    Article  Google Scholar 

  • Kuncheva-LI: A fuzzy two-level classifier for high-g analysis. IEEE Eng Med Biol Magazine, 13(5), 1994, 717–23

    Article  Google Scholar 

  • Klocke-H, Trispel-S, Rau-G, Hatzky-U, Daub-D: An anesthesia information system for monitoring and record keeping during surgical anesthesia. J Clin Monit 1986, 2, 246–61

    Article  Google Scholar 

  • Kweon-HJ, Suk-JW, Song-JS, Lee-MH: Intelligent QRS typification using fuzzy clustering. Proc 17th IEEE Conf Eng Med Biol, 1995

    Google Scholar 

  • Loslever-P: Error and data coding in the multi-dimensional analysis of human movement signals, Proc-Inst-Mech-Eng-H. 1993, 207(2), 103–10

    Article  Google Scholar 

  • Martin-JF: Fuzzy control in anesthesia [editorial, comment]: J-Clin-Monit. 1994 Mar, 10(2), 77–80

    Article  Google Scholar 

  • Mason-DC, Linkens-DA, Abbod-MF, Edwards-ND, Reilly CS: Automated delivery of muscle relaxants using fuzzy-logic control. IEEE Eng Med Biol Magazine, 13(5), 1994, 678–86

    Article  Google Scholar 

  • Noshiro-M, Matsunami-T, Takakuda-K, Ryumae-S, Kagawa-T, Shimizu-M, Fujino-T: Fuzzy and conventional control of high-frequency ventilation, Med-Biol-Eng-Comput. 1994 Jul, 32(4), 377–83

    Article  Google Scholar 

  • Oshita-S, Nakakimura-K, Kaieda-R, Murakawa-T, Tamura-H, Hiraoka-I: Application of the concept of fuzzy logistic controller for treatment of hypertension during anesthesia. Masui. 1993 Feb, 42(2), 185–9

    Google Scholar 

  • Oshita-S, Nakakimura-K, Sakabe-T: Hypertension control during anesthesia. IEEE Eng Med Biol Magazine, 13(5), 1994, 667–70

    Article  Google Scholar 

  • Pis-P, Mesiar-R: Fuzzy model of inexact reasoning in medicine, Comput-Methods-Programs-Biomed. 1989 Sep, 30(1), 1–8

    Article  Google Scholar 

  • Rau-G, Becker-K, Kaufmann-R, Zimmermann-HJ: Fuzzy logic and control: principal approach and potential applications inmedicine, Artif-Organs. 1995 Jan, 19(1), 105–12

    Article  Google Scholar 

  • Röher-O, Schmidt-R, Korth-S: Fuzzy-controlled drug infusion during extracorporal blood purification. Proc 3rd EUFIT, Verlag Mainz, Aachen, Germany, 1995, 1626–32

    Google Scholar 

  • Ruiz-R, Borches-D, Gonzalez-A, Corral-J: A new sodiwn-mtropnisside-infusion controller for the regulation of arterial blood pressure, Biomed-Instrum-Technol. 1993 May-Jun, 27(3), 244–51

    Google Scholar 

  • Ruttkay-Nedecky-I; Riecansky-I: Dipolar electrocardiotopographic evaluation of ventricular activation inpatients with various degrees of coronary artery disease. J-Electrocardiol 1994, 27(2), 149–55

    Article  Google Scholar 

  • Schecke-T, Langen-M, Popp-HJ, Rau-G, Kasmacher-H, Kalff-G: Knowledge-based decision support for patient monitoring in cardioanesthesia, Int-J-Clin-Monit-Comput. 1992, 9(1), 1–11

    Article  Google Scholar 

  • Schima-H, Trubel-W, Wieselthaler-G, Schmidt-C, Muller-MR, Siegl-H, Losert-U, Wolner-E: The Vienna implantable centrifugal blood pump, Artif-Organs. 1994 Jul, 18(7), 500–5

    Article  Google Scholar 

  • Sedbrook-TA, Wright-H, Wright-R: A visual fuzzy cluster system for patient analysis, Med-Inf-Lond. 1993 Oct-Dec, 18(4), 321–9

    Article  Google Scholar 

  • Sitting-DF, Cheung-KH, Berman-L: Fuzzy classification of hemodynamic trends and artifacts: experiments with the heart rate, Int-J-Clin-Monit-Comput. 1992 Dec, 9(4), 251–7

    Article  Google Scholar 

  • Sugiura-T, Mizushina-S, Kimura-M, Fukui-Y, Harada-Y: A fuzzy approach to the rate control in an artificial cardiac pacemaker regulated by respiratory rate and temperature: a preliminary report, J-Med-Eng-Technol. 1991 May-Jun, 15(3), 107–10

    Article  Google Scholar 

  • Tsutsui-T, Arita-S: Fuzzy-logic control of blood pressure through enflurane anesthesia. J-Clin-Monit. 1994 Mar, 10(2), 110–7

    Article  Google Scholar 

  • von Altrock 1995: Fuzzy logic & neurofuzzy applications explained. Prentice Hall, NJ, 1995

    Google Scholar 

  • Wagner-W: “Fuzzy sets” as a fonnal model of cognitive structures — an overview. Arch-Psychol-Frankf. 1980, 133(2), 85–115

    Google Scholar 

  • Woodrutff-EA: Clinical care of patients with closed-loop drug delivery systems, in: Bronzino JD (ed.), The biomedical engineering handbook. IEEE Press 1995, 2447–58

    Google Scholar 

  • Ying-H, McEachern-M, Eddleman-DW, Sheppard-LC: Fuzzy control of mean arterial pressure in postsurgical patients withsodium nitroprusside infusion, IEEE-Trans-Biomed-Eng. 1992 Oct, 39(10), 1060–70

    Article  Google Scholar 

  • Ying-H, Sheppard-L, Tucker-D: Expert-system-based fuzzy control of arterial pressure by drug infusion, Med-Prog-Technol. 1988, 13(4), 203–15

    Google Scholar 

  • Ying-H, Sheppard-LC: Real-time expert-system-based fuzzy control of mean arterial pressure in pigs with sodium nitroprusside infusion, Med-Prog-Technol. 1990 May, 16(1–2), 69–76

    Google Scholar 

  • Ying-H, Sheppard-LC: Regulating mean arterial pressure in postsurgical cardiac patients. IEEE Eng Med Biol Magazine, 13(5), 1994, 671–7

    Article  Google Scholar 

  • Yoshizawa-M, Takeda-H, Watanabe-T, Miura-M, Yambe-T, Kathira-Y, Nitta-S: An automatic control algorithm for the optimal driving of the ventricular assist device. IEEE Trans Biomed Eng, 39(3), 1992, 243–52

    Article  Google Scholar 

  • Yoshizawa-M, Takeda-H, Yambe-T, Nitta-S: Assessing cardiovascular dynamics during ventricular assistance. IEEE Eng Med Biol Magazine, 13(5), 1994, 687–92

    Article  Google Scholar 

  • Zadeh-LA: A note on prototype theory and fuzzy sets, Cognition. 1982 Nov, 12(3), 291–7

    Article  MathSciNet  Google Scholar 

  • Zbinden-AM, Feigenwinter-P, Petersen-Felix-S, Hacisalihzade-S: Arterial pressure control with isoflurane using fuzzy logic, Br-J-Anaesth. 1995 Jan, 74(1), 66–72

    Article  Google Scholar 

  • Zimmermann-H-J: Fuzzy set theory and its applications, 3rd ed., Kluwer, 1996

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer Science+Business Media New York

About this chapter

Cite this chapter

Becker, K. (1999). Fuzzy Logic and Possibility Theory in Biomedical Engineering. In: Zimmermann, HJ. (eds) Practical Applications of Fuzzy Technologies. The Handbooks of Fuzzy Sets Series, vol 6. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-4601-6_10

Download citation

  • DOI: https://doi.org/10.1007/978-1-4615-4601-6_10

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7079-6

  • Online ISBN: 978-1-4615-4601-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics