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Mechanical Properties of the Tympanic
Membrane: Measurement and Modeling
Jef Aernouts
Laboratory of Biomedical Physics (BIMEF)
University of Antwerp

PhD defense
September 24th, 2012
A PhD study

• PhD: Doctor of Philosophy
  - “philosophy” = “love of wisdom”
• PhD in Physics
  - “to understand the behavior of natural phenomena…”




                                                         1
A PhD study

• PhD: Doctor of Philosophy
  - “philosophy” = “love of wisdom”
• PhD in Physics
  - “to understand the behavior of natural phenomena…
    …and to use this knowledge for new technologies”




                                                        2
Mechanical Properties of the Tympanic
Membrane: Measurement and Modeling




                                        3
Mechanical Properties of the Tympanic
Membrane: Measurement and Modeling




                                        4
The human ear




       tympanic
       membrane



                  5
Middle ear & tympanic membrane




                                 6
Function of the ear

Convert sound (20-20000 Hz) > nerve activity in our brain




             What is role middle ear?
                                                            7
Role of the middle ear

 Impedance matching
   air
 between air & fluid   fluid




              ?
                               8
Middle ear impedance matching

1. Area ratio




                                  9
Middle ear impedance matching

1. Area ratio
2. Lever action




                                  10
Middle ear impedance matching

1. Area ratio
2. Lever action
3. „Buckling effect‟




                                  11
Mechanical Properties of the Tympanic
Membrane: Measurement and Modeling




                                        12
Mechanics

• “Behavior of solids when subjected to forces”

  Elasticity

                                       linear
                                                visco-elastic




                              stress
                               F/A
                                                     non-linear

  steel   rubber biological                 strain
                   tissue                      l/l


                                                                13
Mechanics

• “Behavior of solids when subjected to forces”

  Vibrational mechanics




                                   100 Hz
                               (deformation x1e4)




                                  5000 Hz
                               (deformation x4e6)
                                                    14
Why study TM mechanics?

• Middle ear finite element modeling

                                                   tympanic membrane!




          normal
(Aerts J, Aernouts J. 2012)                            reconstructed
                                diseased               (Kelly et al., 2003)
                              (Gan et al., 2009)
                                                                              15
Mechanical Properties of the Tympanic
Membrane: Measurement and Modeling




                                         16
Mechanical Properties of the Tympanic
    Membrane: Measurement and Modeling


1. Validation measurements and modeling

2. Gerbil tympanic membrane pars tensa elasticity

3. Gerbil tympanic membrane pars flaccida elasticity

4. Human tympanic membrane elasticity

5. Human tympanic membrane vibrations




                                                       17
Mechanical Properties of the Tympanic
    Membrane: Measurement and Modeling


1. Validation measurements and modeling

2. Gerbil tympanic membrane pars tensa elasticity

3. Gerbil tympanic membrane pars flaccida elasticity

4. Human tympanic membrane elasticity

5. Human tympanic membrane vibrations




                                                       18
Mechanical Properties of the Tympanic
    Membrane: Measurement and Modeling


1. Validation measurements and modeling

2. Gerbil tympanic membrane pars tensa elasticity

3. Gerbil tympanic membrane pars flaccida elasticity

4. Human tympanic membrane elasticity

5. Human tympanic membrane vibrations




                                                       19
Human tympanic membrane

- Base diameter: 9 mm
- Apex height: 1.7 mm




                            20
TM elasticity

• Literature: experiments on cut-out strips
  - Erroneous analyses (non-uniform thickness)
  - Difficult specimen clamping
• In my work: experiments on intact samples




                                                 21
Needle indentation

• Approach
  - Apply indentations
  - Measure forces




                         (1) TM, (2): force transducer,
                         (3): piston, (4): LVDT , (5): signal
                         generator, (6): feedback control unit


                                                             22
Needle indentation

• Approach
  - Apply indentations
  - Measure forces


• Sample preparation




                                  23
Needle indentation

• Approach
  - Apply indentations
  - Measure forces


• Sample preparation

• Results
  - Quasi-static




                                  24
Needle indentation

• Approach
  - Apply indentations
  - Measure forces


• Sample preparation

• Results
  - Quasi-static
  - Step




                                  25
monitor



                         camera




                         vaporizer



 sample




mounter
attached
to load
cell
                        piston that
                        drives needle
                 LVDT
Shape measurement

• Moiré profilometry




    Buytaert JAN, Dirckx JJJ. Phase-shifting Moiré topography using optical demodulation
    on liquid crystal matrices. Optics and Lasers in Engineering. 2010;48(2):172–181.


                                                                                           27
Shape measurement

• Moiré profilometry




    Buytaert JAN, Dirckx JJJ. Phase-shifting Moiré topography using optical demodulation
    on liquid crystal matrices. Optics and Lasers in Engineering. 2010;48(2):172–181.


                                                                                           28
Finite element model

1. Import geometry




                                29
Finite element model

1. Import geometry

2. Mesh geometry




                                30
Finite element model
                          In rest
1. Import geometry

2. Mesh geometry

3. Apply loadings &
   boundary conditions    Indented




                                     31
Finite element model

1. Import geometry

2. Mesh geometry

3. Apply loadings &
   boundary conditions

4. Quasi-static stiffness:
   E = (2.9±1.3) MPa



                                 32
Visco-elastic properties

• Relaxation function in time domain




                                       33
Visco-elastic properties

• Relaxation function in time domain
                          frequency domain




                                              34
Mechanical Properties of the Tympanic
    Membrane: Measurement and Modeling


1. Validation measurements and modeling

2. Gerbil tympanic membrane pars tensa elasticity

3. Gerbil tympanic membrane pars flaccida elasticity

4. Human tympanic membrane elasticity

5. Human tympanic membrane vibrations




                                                       35
Work at Boston




                 36
TM mechanics at acoustic freqs

• Sample




                                   37
TM mechanics at acoustic freqs
                             front view
• Sample

• Laser Doppler vibrometry
  - Sounds: 100 Hz –
    18 kHz, 80-120 dB
  - Umbo velocity




                                          38
TM mechanics at acoustic freqs

• Sample

• Laser Doppler vibrometry
  - Sounds: 100 Hz –
    18 kHz, 80-120 dB
  - Umbo velocity


• Stroboscopic holography
  - Sounds: 0.5 kHz –
    19 kHz, 80-120 dB
  - Full-field displacement


                                   39
Holography

• Principle

• Digital
  holography
   - CCD
   - Virtual reconstruction:
     hologram before and
     after > deformation
                                 CCD




                                   40
Stroboscopic holography

• Shutter laser beam/
  pulsed laser on specific
  phases

• Both magnitude and phase
  of vibration pattern




                                 41
probe microphone



                  speaker

                                     holography setup




sample




         camera
FE model

• Geometry (from micro-CT)




                             (Aerts Johan, 2012)


                                              43
FE model

• Geometry (from micro-CT)
• Boundary conditions & Loadings




                     sound wave
                                   44
TM transfer function


- Measured with laser Doppler vibrometry:




                                            45
TM transfer function


- Measured with laser Doppler vibrometry:
- Finite element model outcome




                                            46
TM full-field displacement


- Measured with stroboscopic holography:




                                           47
TM full-field displacement


- Measured with stroboscopic holography:
- Finite element outcome




                                           48
TM wave motion




   1000 Hz
(deformation x6e3)



                        7000 Hz
                     (deformation x1e5)




  16000 Hz
(deformation x8e5)

                                          49
TM curvature

• Cochlear load at umbo (tip malleus)
• Natural curved versus artificially flat




                                            50
TM curvature
                           800 Hz – 4 kHz:
• Umbo velocity response   17.5 dB difference




                                                51
General conclusion

• Indentation approach
   - Quasi-static regime (0.001 Hz – 3 Hz)
   - Elastic characterization pars tensa


• Static inflation experiments
   - Elastic characterization pars flaccida


• Stroboscopic holography
   - Acoustic regime (20 Hz – 20 kHz)
   - Vibrational properties tympanic membrane



                                                52
Thanks for your attention!

• Questions? I‟m all ears…




                                   53

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PhD defense

  • 1. Mechanical Properties of the Tympanic Membrane: Measurement and Modeling Jef Aernouts Laboratory of Biomedical Physics (BIMEF) University of Antwerp PhD defense September 24th, 2012
  • 2. A PhD study • PhD: Doctor of Philosophy - “philosophy” = “love of wisdom” • PhD in Physics - “to understand the behavior of natural phenomena…” 1
  • 3. A PhD study • PhD: Doctor of Philosophy - “philosophy” = “love of wisdom” • PhD in Physics - “to understand the behavior of natural phenomena… …and to use this knowledge for new technologies” 2
  • 4. Mechanical Properties of the Tympanic Membrane: Measurement and Modeling 3
  • 5. Mechanical Properties of the Tympanic Membrane: Measurement and Modeling 4
  • 6. The human ear tympanic membrane 5
  • 7. Middle ear & tympanic membrane 6
  • 8. Function of the ear Convert sound (20-20000 Hz) > nerve activity in our brain What is role middle ear? 7
  • 9. Role of the middle ear Impedance matching air between air & fluid fluid ? 8
  • 10. Middle ear impedance matching 1. Area ratio 9
  • 11. Middle ear impedance matching 1. Area ratio 2. Lever action 10
  • 12. Middle ear impedance matching 1. Area ratio 2. Lever action 3. „Buckling effect‟ 11
  • 13. Mechanical Properties of the Tympanic Membrane: Measurement and Modeling 12
  • 14. Mechanics • “Behavior of solids when subjected to forces” Elasticity linear visco-elastic stress F/A non-linear steel rubber biological strain tissue l/l 13
  • 15. Mechanics • “Behavior of solids when subjected to forces” Vibrational mechanics 100 Hz (deformation x1e4) 5000 Hz (deformation x4e6) 14
  • 16. Why study TM mechanics? • Middle ear finite element modeling tympanic membrane! normal (Aerts J, Aernouts J. 2012) reconstructed diseased (Kelly et al., 2003) (Gan et al., 2009) 15
  • 17. Mechanical Properties of the Tympanic Membrane: Measurement and Modeling 16
  • 18. Mechanical Properties of the Tympanic Membrane: Measurement and Modeling 1. Validation measurements and modeling 2. Gerbil tympanic membrane pars tensa elasticity 3. Gerbil tympanic membrane pars flaccida elasticity 4. Human tympanic membrane elasticity 5. Human tympanic membrane vibrations 17
  • 19. Mechanical Properties of the Tympanic Membrane: Measurement and Modeling 1. Validation measurements and modeling 2. Gerbil tympanic membrane pars tensa elasticity 3. Gerbil tympanic membrane pars flaccida elasticity 4. Human tympanic membrane elasticity 5. Human tympanic membrane vibrations 18
  • 20. Mechanical Properties of the Tympanic Membrane: Measurement and Modeling 1. Validation measurements and modeling 2. Gerbil tympanic membrane pars tensa elasticity 3. Gerbil tympanic membrane pars flaccida elasticity 4. Human tympanic membrane elasticity 5. Human tympanic membrane vibrations 19
  • 21. Human tympanic membrane - Base diameter: 9 mm - Apex height: 1.7 mm 20
  • 22. TM elasticity • Literature: experiments on cut-out strips - Erroneous analyses (non-uniform thickness) - Difficult specimen clamping • In my work: experiments on intact samples 21
  • 23. Needle indentation • Approach - Apply indentations - Measure forces (1) TM, (2): force transducer, (3): piston, (4): LVDT , (5): signal generator, (6): feedback control unit 22
  • 24. Needle indentation • Approach - Apply indentations - Measure forces • Sample preparation 23
  • 25. Needle indentation • Approach - Apply indentations - Measure forces • Sample preparation • Results - Quasi-static 24
  • 26. Needle indentation • Approach - Apply indentations - Measure forces • Sample preparation • Results - Quasi-static - Step 25
  • 27. monitor camera vaporizer sample mounter attached to load cell piston that drives needle LVDT
  • 28. Shape measurement • Moiré profilometry Buytaert JAN, Dirckx JJJ. Phase-shifting Moiré topography using optical demodulation on liquid crystal matrices. Optics and Lasers in Engineering. 2010;48(2):172–181. 27
  • 29. Shape measurement • Moiré profilometry Buytaert JAN, Dirckx JJJ. Phase-shifting Moiré topography using optical demodulation on liquid crystal matrices. Optics and Lasers in Engineering. 2010;48(2):172–181. 28
  • 30. Finite element model 1. Import geometry 29
  • 31. Finite element model 1. Import geometry 2. Mesh geometry 30
  • 32. Finite element model In rest 1. Import geometry 2. Mesh geometry 3. Apply loadings & boundary conditions Indented 31
  • 33. Finite element model 1. Import geometry 2. Mesh geometry 3. Apply loadings & boundary conditions 4. Quasi-static stiffness: E = (2.9±1.3) MPa 32
  • 34. Visco-elastic properties • Relaxation function in time domain 33
  • 35. Visco-elastic properties • Relaxation function in time domain  frequency domain 34
  • 36. Mechanical Properties of the Tympanic Membrane: Measurement and Modeling 1. Validation measurements and modeling 2. Gerbil tympanic membrane pars tensa elasticity 3. Gerbil tympanic membrane pars flaccida elasticity 4. Human tympanic membrane elasticity 5. Human tympanic membrane vibrations 35
  • 38. TM mechanics at acoustic freqs • Sample 37
  • 39. TM mechanics at acoustic freqs front view • Sample • Laser Doppler vibrometry - Sounds: 100 Hz – 18 kHz, 80-120 dB - Umbo velocity 38
  • 40. TM mechanics at acoustic freqs • Sample • Laser Doppler vibrometry - Sounds: 100 Hz – 18 kHz, 80-120 dB - Umbo velocity • Stroboscopic holography - Sounds: 0.5 kHz – 19 kHz, 80-120 dB - Full-field displacement 39
  • 41. Holography • Principle • Digital holography - CCD - Virtual reconstruction: hologram before and after > deformation CCD 40
  • 42. Stroboscopic holography • Shutter laser beam/ pulsed laser on specific phases • Both magnitude and phase of vibration pattern 41
  • 43. probe microphone speaker holography setup sample camera
  • 44. FE model • Geometry (from micro-CT) (Aerts Johan, 2012) 43
  • 45. FE model • Geometry (from micro-CT) • Boundary conditions & Loadings sound wave 44
  • 46. TM transfer function - Measured with laser Doppler vibrometry: 45
  • 47. TM transfer function - Measured with laser Doppler vibrometry: - Finite element model outcome 46
  • 48. TM full-field displacement - Measured with stroboscopic holography: 47
  • 49. TM full-field displacement - Measured with stroboscopic holography: - Finite element outcome 48
  • 50. TM wave motion 1000 Hz (deformation x6e3) 7000 Hz (deformation x1e5) 16000 Hz (deformation x8e5) 49
  • 51. TM curvature • Cochlear load at umbo (tip malleus) • Natural curved versus artificially flat 50
  • 52. TM curvature 800 Hz – 4 kHz: • Umbo velocity response 17.5 dB difference 51
  • 53. General conclusion • Indentation approach - Quasi-static regime (0.001 Hz – 3 Hz) - Elastic characterization pars tensa • Static inflation experiments - Elastic characterization pars flaccida • Stroboscopic holography - Acoustic regime (20 Hz – 20 kHz) - Vibrational properties tympanic membrane 52
  • 54. Thanks for your attention! • Questions? I‟m all ears… 53

Notes de l'éditeur

  1. Fysicahoudt in: beschrijvennatuurfenomenen, maar ookgebruik van die kennisvoortechnologischeontwikkelingen
  2. Fysicahoudt in: beschrijvennatuurfenomenen, maar ookgebruik van die kennisvoortechnologischeontwikkelingen
  3. Ookligamenten en spiertjes, niet in de figuur
  4. Geenperfecteimpedantie-matching!!!
  5. Geenperfecteimpedantie-matching!!!
  6. Geenperfecteimpedantie-matching!!!
  7. Vanaf nu hier en daarnogaltechnisch/theoretisch, maar duidelijklatenblijkenwanneerikbijvolgende punt komen
  8. Vanaf nu hier en daarnogaltechnisch/theoretisch, maar duidelijklatenblijkenwanneerikbijvolgende punt komen
  9. Vanaf nu hier en daarnogaltechnisch/theoretisch, maar duidelijklatenblijkenwanneerikbijvolgende punt komen
  10. Vanaf nu hier en daarnogaltechnisch/theoretisch, maar duidelijklatenblijkenwanneerikbijvolgende punt komen
  11. Doe je daarvijfjaar over? Zeggennogmeergedaan!