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Measuring Electrical Conductivity of Brain Tissue By: Maher Elbohouty Supervisors: Dr Marcus Wilson AProf Alistair Steyn-Ross 15 November 2011
Has anyone measured the conductivity ?   ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],15 November 2011 © THE UNIVERSITY OF WAIKATO
… slicing… Brain removal… 15 November 2011 © THE UNIVERSITY OF WAIKATO
Three methods: ,[object Object],15 November 2011 © THE UNIVERSITY OF WAIKATO  2. Two dimensions 3. Three dimensions
1. Modified syringe and two stainless steel plate electrodes ( Flat Electrodes): 15 November 2011 © THE UNIVERSITY OF WAIKATO
Taking the sample .. 15 November 2011 © THE UNIVERSITY OF WAIKATO
The resistivity of brain slices at 10 kHz 15 November 2011 © THE UNIVERSITY OF WAIKATO  The Syringe (V3) digital calliper (DIGMATIC- Mitutoyo Corporation, Model CD-6”) and LCR meter (Agilent E4980A)
Defining equation in 1D 15 November 2011 © THE UNIVERSITY OF WAIKATO  RA/  a  (m) x (m) Slice ACSF  s  a
Measurement of resistance  (R) against different separation of electrodes (x) 15 November 2011 © THE UNIVERSITY OF WAIKATO
The measured conductivity is affected by the uncertainty of y-intercept and…. 15 November 2011 © THE UNIVERSITY OF WAIKATO  ,[object Object],[object Object],y-intercept  electrodes surface area (A)
The measured conductivity is affected by the uncertainty of ... 15 November 2011 © THE UNIVERSITY OF WAIKATO  ACSF resistivity (  a )     electrodes surface area (A) ,[object Object],[object Object]
Next Step .. ,[object Object],15 November 2011 © THE UNIVERSITY OF WAIKATO  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
2. 2D Electrical conductivity by 4 Cylindrical electrodes 15 November 2011 © THE UNIVERSITY OF WAIKATO
4 Tiny Cylindrical electrodes: 15 November 2011 © THE UNIVERSITY OF WAIKATO  ,[object Object]
Defining equation in 2D 15 November 2011 © THE UNIVERSITY OF WAIKATO  For the ACSF we expect the relationship: Where:  : is the fluid conductivity I : the measured current. D : the depth of the fluid  : the voltage    r 1 : distance between I in  and V 2 . r 2 : distance between I out  and V 2 . r 3 : distance between I in  and V 1 . r 4 : distance between I out  and V 1 .
[object Object],[object Object],[object Object],[object Object],[object Object],15 November 2011 © THE UNIVERSITY OF WAIKATO  3. 3D Electrical Conductivity  b d
Multielectrode Array ,[object Object],15 November 2011 © THE UNIVERSITY OF WAIKATO  1.6 mm 20   m
Options of  4 point electrodes: ,[object Object],[object Object],15 November 2011 © THE UNIVERSITY OF WAIKATO  5 mm 1 mm 2 mm
Conclusion: ,[object Object],[object Object],15 November 2011 © THE UNIVERSITY OF WAIKATO
What is the problem?  mouse brain slices 15 November 2011 © THE UNIVERSITY OF WAIKATO  1 cm
[object Object],[object Object],Further work: 15 November 2011 © THE UNIVERSITY OF WAIKATO
[object Object],[object Object],[object Object],[object Object],15 November 2011 © THE UNIVERSITY OF WAIKATO
The importance of conductivity ,[object Object],[object Object],[object Object],[object Object],[object Object],15 November 2011 © THE UNIVERSITY OF WAIKATO
Gap junctions and seizures ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],15 November 2011 © THE UNIVERSITY OF WAIKATO
Modelling : The approximate calculation our equation is supported by more accurate computer modelling of the electric fields between the three-dimensional electrodes using COMSOL Multiphysics.  We have used COMSOL Multiphysics to investigate electric field between the array.  15 November 2011 © THE UNIVERSITY OF WAIKATO  Modeling shows very high current density on the electrodes which make them burning

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13.15 o14.2 m elbohouty

  • 1. Measuring Electrical Conductivity of Brain Tissue By: Maher Elbohouty Supervisors: Dr Marcus Wilson AProf Alistair Steyn-Ross 15 November 2011
  • 2.
  • 3. … slicing… Brain removal… 15 November 2011 © THE UNIVERSITY OF WAIKATO
  • 4.
  • 5. 1. Modified syringe and two stainless steel plate electrodes ( Flat Electrodes): 15 November 2011 © THE UNIVERSITY OF WAIKATO
  • 6. Taking the sample .. 15 November 2011 © THE UNIVERSITY OF WAIKATO
  • 7. The resistivity of brain slices at 10 kHz 15 November 2011 © THE UNIVERSITY OF WAIKATO The Syringe (V3) digital calliper (DIGMATIC- Mitutoyo Corporation, Model CD-6”) and LCR meter (Agilent E4980A)
  • 8. Defining equation in 1D 15 November 2011 © THE UNIVERSITY OF WAIKATO RA/  a (m) x (m) Slice ACSF  s  a
  • 9. Measurement of resistance (R) against different separation of electrodes (x) 15 November 2011 © THE UNIVERSITY OF WAIKATO
  • 10.
  • 11.
  • 12.
  • 13. 2. 2D Electrical conductivity by 4 Cylindrical electrodes 15 November 2011 © THE UNIVERSITY OF WAIKATO
  • 14.
  • 15. Defining equation in 2D 15 November 2011 © THE UNIVERSITY OF WAIKATO For the ACSF we expect the relationship: Where:  : is the fluid conductivity I : the measured current. D : the depth of the fluid  : the voltage    r 1 : distance between I in and V 2 . r 2 : distance between I out and V 2 . r 3 : distance between I in and V 1 . r 4 : distance between I out and V 1 .
  • 16.
  • 17.
  • 18.
  • 19.
  • 20. What is the problem? mouse brain slices 15 November 2011 © THE UNIVERSITY OF WAIKATO 1 cm
  • 21.
  • 22.
  • 23.
  • 24.
  • 25. Modelling : The approximate calculation our equation is supported by more accurate computer modelling of the electric fields between the three-dimensional electrodes using COMSOL Multiphysics. We have used COMSOL Multiphysics to investigate electric field between the array. 15 November 2011 © THE UNIVERSITY OF WAIKATO Modeling shows very high current density on the electrodes which make them burning

Editor's Notes

  1. 15/11/11
  2. Yes, but for different reasons and different methods. 15/11/11
  3. 15/11/11
  4. 15/11/11
  5. 4 point Kelvin measurements. So no worry about the resistance of the cable 15/11/11
  6. 15/11/11
  7. 15/11/11
  8. 15/11/11
  9. 15/11/11
  10. 15/11/11
  11. 15/11/11
  12. 15/11/11
  13. This is a modified method from an experiment in a physics course 15/11/11
  14. 15/11/11
  15. 15/11/11
  16. 15/11/11
  17. 15/11/11
  18. Various options of electrodes were investigated 15/11/11
  19. 15/11/11
  20. Small change in chemicals that triggers slices to have a seizures. ACSF: mostly NaCl solution with some other ions 15/11/11
  21. 15/11/11
  22. 15/11/11
  23. 15/11/11
  24. 15/11/11