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Electrophysiology (Ephys) 
A key feature when studying neuro-vascular and 
Claus Mathiesen 
Department of Neuroscience and Pharmacology 
metabolic coupling 
Aim: 
Teach you the basics of in vivo electrophysiology 
! 
Claus Mathiesen, M.Sc. Ph.D.
Claus Mathiesen October 2012 
Department of Neuroscience and Pharmacology 
Outline of my talk 
Core of electrophysiology 
! 
EEG 
! 
Field potentials 
! 
Contributions from different cell types 
! 
Spike (action potential) activity 
! 
Pro and Cons with types of ephys recording
Claus Mathiesen October 2012 
Department of Neuroscience and Pharmacology Dias 3 
The core of Ephys 
Ephys signal is measured in voltage (V), current (I), 
and resistance (R) or conductance (G=1/R) 
! 
These variables are related according to Ohm’s law: 
V = I ◦ R or I = V ◦ G 
! 
Ephys signal has different frequencies 
! 
Frequency is measured as oscillation per second (Hz) 
! 
Each type of neuronal activity is located within areas 
in the frequency band running from 0 to 5000 Hz
The generator of the Ephys signal 
Claus Mathiesen October 2012 
Department of Neuroscience and Pharmacology (Dias 4) 
Neurons are like a battery 
Negative inside (-60 to -70 mV) 
Generate action potentials via 
voltage-gated ion-channels 
Some have pacemaker activity
Excitatory-PostSynaptic-Potential (EPSP) 
Presynaptic release of 
transmitter 
Transmitter-gated ion-channels 
Ion-flux 
Potential changes 
Claus Mathiesen October 2012 
Department of Neuroscience and Pharmacology (Dias 5) 
EPSP 
fEPSP
Commonly recorded Ephys signal in the in vivo 
Claus Mathiesen October 2012 
EPSP 
fEPSP 
brain? 
Intracellular potential changes as 
Synaptic events 
Spike activity 
Graded potentials 
Extracellular potential changes as 
Evoked field excitatory-postsynaptic 
potentials (fEPSPs) 
Single unit (cell) activity (SUA) of 
spikes/action potentials 
Multi-unit activity (MUA) of spikes 
Non-spiking, graded potentials (EEG) 
SUA 
MUA 
EEG
From low frequencies to higher frequencies 
Claus Mathiesen October 2012 
Department of Neuroscience and Pharmacology (Dias 7)
Department of Neuroscience and Pharmacology (Dias 8) 
EEG (ElectroEncephaloGraphy) 
Claus Mathiesen October 2012 
Richard Caton 1875: The electric 
currents of the brain. BMJ 2. 
278. 
! 
Hans Berger 1929: Über das 
elektreenkephalogram des 
menschen. Arch. Psychhiatr. 
Nervenkr. 87, 527-570 
In the beginning EEG was used as indicator for 
sleep stages (Slow wave, light, REM) 
together with recording of muscular tone 
(EMG) 
diseases like epilepsy and brain damage
EEG (ElectroEncephaloGraphy) 
Claus Mathiesen October 2012
Brain activity and EEG 
Possibly only a small proportion of nerve cells 
generate synchronous spikes in normal mental state 
! 
Cerebral rhythms picked up by EEG represent 
synchronous synaptic activity 
! 
EEG measures only a small fraction of the total brain 
activity due to 
Dilution (distance-2 ≈ amplitude) 
Variability in conductivity 
Mixed orientation of active dendrites 
Lack of synchronous activity 
Claus Mathiesen October 2012
Irregular activity leads to high frequency and low amplitude 
Claus Mathiesen October 2012 
EEG 
Synchronized activity leads to low frequency and high 
amplitude EEG
Subdivided EEG band 
Delta <4 Hz (deep sleep) 
Theta 4-7 Hz (REM sleep, drowsy, meditation) 
Alpha 8-13 Hz (eyes closed awake) 
Beta 14-30 Hz (active awake, open eyes) 
Gamma 30-80 Hz (memory) 
Claus Mathiesen October 2012
Delta rhythms (<4 Hz EEG) 
Marker for slow-wave sleep also called deep sleep. 
In slow-wave sleep the brain recovers 
Claus Mathiesen October 2012
Theta rhythms (4-7 Hz EEG) 
In rodents the theta rhythms (4-10 Hz) originate 
from hippocampus and is an indicator for 
paradoxical sleep (rodents REM sleep) 
Exploration and sniffing 
! 
In humans the theta rhythms originate from cortex 
and is an indicator for 
Drowsiness 
Meditation 
Light sleep states 
Claus Mathiesen October 2012 
Department of Neuroscience and Pharmacology Dias 16
Alpha- (8-13 Hz) and Beta-rhythms (14-30 Hz) 
Quiet awake Open eyes 
closed eyes 
Alpha Beta 
Claus Mathiesen October 2012
Gamma rhythms (30-80 Hz EEG) 
Represent spike timing of a large ensemble of neurons 
Dependent on GABA interneurons that synchronise the 
spiking of pyramidal cells 
! 
Synchronous neuronal activity is a tool for dealing with 
information with different modalities: 
Perceptual binding 
Attention 
Working memory 
! 
Can be observed at multiple spatial scales, from single-unit 
recordings to MEG and scalp EEG 
Claus Mathiesen October 2012 
Gamma
Claus Mathiesen October 2012 
Gamma activity 
(Adapted from Sumiyoshi et al., 2012, Neuroimage)
Bands for different Ephys signals 
Gamma 30-80 Hz (memory) 
Claus Mathiesen October 2012 
Department of Neuroscience and Pharmacology 
Delta <4 Hz (deep sleep) 
Theta 4-7 Hz (REM sleep, drowsy, meditation) 
Alpha 8-13 Hz (eyes closed awake) 
Beta 14-30 Hz (active awake, open eyes) 
Evoked field potential 
0.1-1000 Hz
What generates the evoked field potential? 
Claus Mathiesen October 2012 
Department of Neuroscience and Pharmacology 
Synchronic activation: 
•Transmembrane current flow 
•Extracellular current flow and the 
resistant properties of the extracellular 
media àvoltage changes in the field 
potential 
0.5 mV
Shape of evoked field potentials as function of 
anatomy and location 
Claus Mathiesen October 2012 
Department of Neuroscience and Pharmacology Dias 23 
Hippocampus or 
Cerebral
Interpretation of an evoked field potentials 
Claus Mathiesen October 2012 
Department of Neuroscience and Pharmacology Dias 24 
Degree of excitation 
= 
Number of open 
AMPA receptor 
channels 
Ca2+ dependent 
K+ current 
+NMDA rec. 
antagonist
From field potentials to Current Source Density 
í 
í 
í 
í 
 
í 
í 
í 
í 
í 
í 
Depth [μm] 
   
Claus Mathiesen October 2012 
Department of Neuroscience and Pharmacology Dias 26 
     
Time [s] 
í 
í 
í 
Jessen 
et 
al 
2014 
 
Mathiesen 
et 
al. 
2011 
Sink 
Iso 
Source 
LFP 
Depth profile 
 
Time [s] 
1st 
2nd 
Current source density 
CSD Map
Current Source Density (CSD) 
Claus Mathiesen October 2012 
Department of Neuroscience and Pharmacology Dias 25 
Neuronal activity à Transmembrane 
current generating ensemble of current 
sources and sinks à Extracellular current 
flow à Potential differences (Field 
potentials) due Resistance in the 
extracellular media 
The first spatial derivative of the Field 
potential is equal to Current Flow 
Density. 
The Current Flow Density is a vector 
indicating the amplitude and direction of 
current flowing through a giving point in 
the extracellular medium. 
The second spatial derivatives of the 
field potential is equal to the Current 
Source Density (CSD). 
The Current Source Density correspond to 
the transmembrane current 
Field potential 
Current flow density 
Current Source Density 
Nicholson, Freemann 1975 
Source 
Sink 
Spatial 
derivative Spatial 
derivative
Contribution to Ephys from different cell type 
Cerebellar 
pyramidal 
Contribution to the field potential 
Claus Mathiesen October 2012 
Department of Neuroscience and Pharmacology 
Neurons Glia 
Cortical 
pyramidal 
Interneurons Astrocyte Oligodendrocyte Microglial 
Stellate cell 
Principal output Relay 
K+ buffer 
Blood flow 
House keeper 
Calcium waves 
Myelinate Phagocyte 
Major Major Middle 
Minor (EEG) 
(Minor) (Minor) (Minor)
Bands for different Ephys signals 
Claus Mathiesen October 2012 
Department of Neuroscience and Pharmacology 
Evoked field potential (synaptic strenghts) 
0.1-1000 Hz 
Spikes /action potentials 
300-3000 Hz peak 1000 Hz 
• Single unit activity 
(1-100 spikes/s) 
•Multi unit activity 
Delta 4 Hz (deep sleep) 
Theta 4-7 Hz (REM sleep, drowsy, meditation) 
Alpha 8-13 Hz (eyes closed awake) 
Beta 14-30 Hz (active awake, open eyes) 
Gamma 30-80 Hz (memory) 
Adrian 
 
Moruzzi 
1939: 
Impulses 
in 
the 
pyramidal 
tract. 
J. 
Physiol. 
97, 
153-­‐199
Spiking in respons to synaptic input 
Cascades: 
Transmitter release 
Transmitter-gated channels (spatial and temporal summation) 
Voltage-gated channels 
Calcium spikes 
Sodium spikes 
Potassium re-polarize cell 
Calcium mediated potassium current 
! 
Or sodium spikes as a consequence of pacemaker activity 
Claus Mathiesen October 2012 
Department of Neuroscience and Pharmacology Dias 32
Single unit spike activity (Purkinje Cell) 
Claus Mathiesen October 2012 
Department of Neuroscience and Pharmacology 
5 ms 5 ms 
0 1000 2000 3000 4000 5000 
0.008 
0.007 
0.006 
0.005 
0.004 
0.003 
0.002 
0.001 
0.000 
Power 
Frequency 
Simple spike Complex spike 
Kirsten Thomsen
Example of single unit activity (SUA) 
Spike- waveform Regular 
InterSpikeInterval 
Event autocorrelation 
Claus Mathiesen October 2012 
Department of Neuroscience and Pharmacology 
Herrik et al. 2010 
Irregular 
Burst 
Regular Irregular Burst
Department of Neuroscience and Pharmacology (Dias 35) 
Methods in Multi-unit activity (MUA) 
Single electrode 
! 
! 
! 
Stereotrode 
! 
! 
! 
Tetrode 
Claus Mathiesen October 2012 
Low resolution 
•distance 
Root-Mean-Square (RMS) 
! 
Better resolution 
•distance + location 
! 
! 
Even better resolution 
•Distance + 2D location
Pro and Cons with types of ephys recording 
Claus Mathiesen October 2012 
Department of Neuroscience and Pharmacology 
Method Pro Cons 
EEG Non-invasive, 
comparative to human 
studies, timing 
Bad localisation 
(3-5cm), no info on 
cell types, or mode of 
Evoked field potentials Robust indicator of action 
synchronous synaptic 
activity 
Invasive, only on 
evoked response, not 
well with non-aligned 
Current source cells 
density 
Robust indicator of 
transmembrane ion 
flux, better 
localisation 
same as above 
Single unit activity 
(SUA) 
Info from one cell Only one cell 
Multi unit activity 
(MUA) 
Better overall 
estimation of spike 
activity 
lack cell type 
information
Bands for different Ephys signals 
Gamma 30-80 Hz (memory) 
Claus Mathiesen October 2012 
Department of Neuroscience and Pharmacology 
Delta 4 Hz (deep sleep) 
Theta 4-7 Hz (REM sleep) 
Alpha 8-13 Hz (light sleep, or quit awake) 
Beta 14-30 Hz (active awake) 
Evoked field potential (Synaptic strengths) 
0.1-1000 Hz 
Spikes /action potentials 
300-3000 Hz peak 1000 Hz 
• Single unit activity 
(1-100 spikes/s) 
•Multi unit activity
THANK YOU FOR YOUR ATTENTION 
Claus Mathiesen October 2012 
Department of Neuroscience and Pharmacology (Dias 38)

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Electrophysiology in vivo

  • 1. Electrophysiology (Ephys) A key feature when studying neuro-vascular and Claus Mathiesen Department of Neuroscience and Pharmacology metabolic coupling Aim: Teach you the basics of in vivo electrophysiology ! Claus Mathiesen, M.Sc. Ph.D.
  • 2. Claus Mathiesen October 2012 Department of Neuroscience and Pharmacology Outline of my talk Core of electrophysiology ! EEG ! Field potentials ! Contributions from different cell types ! Spike (action potential) activity ! Pro and Cons with types of ephys recording
  • 3. Claus Mathiesen October 2012 Department of Neuroscience and Pharmacology Dias 3 The core of Ephys Ephys signal is measured in voltage (V), current (I), and resistance (R) or conductance (G=1/R) ! These variables are related according to Ohm’s law: V = I ◦ R or I = V ◦ G ! Ephys signal has different frequencies ! Frequency is measured as oscillation per second (Hz) ! Each type of neuronal activity is located within areas in the frequency band running from 0 to 5000 Hz
  • 4. The generator of the Ephys signal Claus Mathiesen October 2012 Department of Neuroscience and Pharmacology (Dias 4) Neurons are like a battery Negative inside (-60 to -70 mV) Generate action potentials via voltage-gated ion-channels Some have pacemaker activity
  • 5. Excitatory-PostSynaptic-Potential (EPSP) Presynaptic release of transmitter Transmitter-gated ion-channels Ion-flux Potential changes Claus Mathiesen October 2012 Department of Neuroscience and Pharmacology (Dias 5) EPSP fEPSP
  • 6. Commonly recorded Ephys signal in the in vivo Claus Mathiesen October 2012 EPSP fEPSP brain? Intracellular potential changes as Synaptic events Spike activity Graded potentials Extracellular potential changes as Evoked field excitatory-postsynaptic potentials (fEPSPs) Single unit (cell) activity (SUA) of spikes/action potentials Multi-unit activity (MUA) of spikes Non-spiking, graded potentials (EEG) SUA MUA EEG
  • 7. From low frequencies to higher frequencies Claus Mathiesen October 2012 Department of Neuroscience and Pharmacology (Dias 7)
  • 8. Department of Neuroscience and Pharmacology (Dias 8) EEG (ElectroEncephaloGraphy) Claus Mathiesen October 2012 Richard Caton 1875: The electric currents of the brain. BMJ 2. 278. ! Hans Berger 1929: Über das elektreenkephalogram des menschen. Arch. Psychhiatr. Nervenkr. 87, 527-570 In the beginning EEG was used as indicator for sleep stages (Slow wave, light, REM) together with recording of muscular tone (EMG) diseases like epilepsy and brain damage
  • 9. EEG (ElectroEncephaloGraphy) Claus Mathiesen October 2012
  • 10. Brain activity and EEG Possibly only a small proportion of nerve cells generate synchronous spikes in normal mental state ! Cerebral rhythms picked up by EEG represent synchronous synaptic activity ! EEG measures only a small fraction of the total brain activity due to Dilution (distance-2 ≈ amplitude) Variability in conductivity Mixed orientation of active dendrites Lack of synchronous activity Claus Mathiesen October 2012
  • 11. Irregular activity leads to high frequency and low amplitude Claus Mathiesen October 2012 EEG Synchronized activity leads to low frequency and high amplitude EEG
  • 12. Subdivided EEG band Delta <4 Hz (deep sleep) Theta 4-7 Hz (REM sleep, drowsy, meditation) Alpha 8-13 Hz (eyes closed awake) Beta 14-30 Hz (active awake, open eyes) Gamma 30-80 Hz (memory) Claus Mathiesen October 2012
  • 13. Delta rhythms (<4 Hz EEG) Marker for slow-wave sleep also called deep sleep. In slow-wave sleep the brain recovers Claus Mathiesen October 2012
  • 14. Theta rhythms (4-7 Hz EEG) In rodents the theta rhythms (4-10 Hz) originate from hippocampus and is an indicator for paradoxical sleep (rodents REM sleep) Exploration and sniffing ! In humans the theta rhythms originate from cortex and is an indicator for Drowsiness Meditation Light sleep states Claus Mathiesen October 2012 Department of Neuroscience and Pharmacology Dias 16
  • 15. Alpha- (8-13 Hz) and Beta-rhythms (14-30 Hz) Quiet awake Open eyes closed eyes Alpha Beta Claus Mathiesen October 2012
  • 16. Gamma rhythms (30-80 Hz EEG) Represent spike timing of a large ensemble of neurons Dependent on GABA interneurons that synchronise the spiking of pyramidal cells ! Synchronous neuronal activity is a tool for dealing with information with different modalities: Perceptual binding Attention Working memory ! Can be observed at multiple spatial scales, from single-unit recordings to MEG and scalp EEG Claus Mathiesen October 2012 Gamma
  • 17. Claus Mathiesen October 2012 Gamma activity (Adapted from Sumiyoshi et al., 2012, Neuroimage)
  • 18. Bands for different Ephys signals Gamma 30-80 Hz (memory) Claus Mathiesen October 2012 Department of Neuroscience and Pharmacology Delta <4 Hz (deep sleep) Theta 4-7 Hz (REM sleep, drowsy, meditation) Alpha 8-13 Hz (eyes closed awake) Beta 14-30 Hz (active awake, open eyes) Evoked field potential 0.1-1000 Hz
  • 19. What generates the evoked field potential? Claus Mathiesen October 2012 Department of Neuroscience and Pharmacology Synchronic activation: •Transmembrane current flow •Extracellular current flow and the resistant properties of the extracellular media àvoltage changes in the field potential 0.5 mV
  • 20. Shape of evoked field potentials as function of anatomy and location Claus Mathiesen October 2012 Department of Neuroscience and Pharmacology Dias 23 Hippocampus or Cerebral
  • 21. Interpretation of an evoked field potentials Claus Mathiesen October 2012 Department of Neuroscience and Pharmacology Dias 24 Degree of excitation = Number of open AMPA receptor channels Ca2+ dependent K+ current +NMDA rec. antagonist
  • 22. From field potentials to Current Source Density í í í í í í í í í í Depth [μm] Claus Mathiesen October 2012 Department of Neuroscience and Pharmacology Dias 26 Time [s] í í í Jessen et al 2014 Mathiesen et al. 2011 Sink Iso Source LFP Depth profile Time [s] 1st 2nd Current source density CSD Map
  • 23. Current Source Density (CSD) Claus Mathiesen October 2012 Department of Neuroscience and Pharmacology Dias 25 Neuronal activity à Transmembrane current generating ensemble of current sources and sinks à Extracellular current flow à Potential differences (Field potentials) due Resistance in the extracellular media The first spatial derivative of the Field potential is equal to Current Flow Density. The Current Flow Density is a vector indicating the amplitude and direction of current flowing through a giving point in the extracellular medium. The second spatial derivatives of the field potential is equal to the Current Source Density (CSD). The Current Source Density correspond to the transmembrane current Field potential Current flow density Current Source Density Nicholson, Freemann 1975 Source Sink Spatial derivative Spatial derivative
  • 24. Contribution to Ephys from different cell type Cerebellar pyramidal Contribution to the field potential Claus Mathiesen October 2012 Department of Neuroscience and Pharmacology Neurons Glia Cortical pyramidal Interneurons Astrocyte Oligodendrocyte Microglial Stellate cell Principal output Relay K+ buffer Blood flow House keeper Calcium waves Myelinate Phagocyte Major Major Middle Minor (EEG) (Minor) (Minor) (Minor)
  • 25. Bands for different Ephys signals Claus Mathiesen October 2012 Department of Neuroscience and Pharmacology Evoked field potential (synaptic strenghts) 0.1-1000 Hz Spikes /action potentials 300-3000 Hz peak 1000 Hz • Single unit activity (1-100 spikes/s) •Multi unit activity Delta 4 Hz (deep sleep) Theta 4-7 Hz (REM sleep, drowsy, meditation) Alpha 8-13 Hz (eyes closed awake) Beta 14-30 Hz (active awake, open eyes) Gamma 30-80 Hz (memory) Adrian Moruzzi 1939: Impulses in the pyramidal tract. J. Physiol. 97, 153-­‐199
  • 26. Spiking in respons to synaptic input Cascades: Transmitter release Transmitter-gated channels (spatial and temporal summation) Voltage-gated channels Calcium spikes Sodium spikes Potassium re-polarize cell Calcium mediated potassium current ! Or sodium spikes as a consequence of pacemaker activity Claus Mathiesen October 2012 Department of Neuroscience and Pharmacology Dias 32
  • 27. Single unit spike activity (Purkinje Cell) Claus Mathiesen October 2012 Department of Neuroscience and Pharmacology 5 ms 5 ms 0 1000 2000 3000 4000 5000 0.008 0.007 0.006 0.005 0.004 0.003 0.002 0.001 0.000 Power Frequency Simple spike Complex spike Kirsten Thomsen
  • 28. Example of single unit activity (SUA) Spike- waveform Regular InterSpikeInterval Event autocorrelation Claus Mathiesen October 2012 Department of Neuroscience and Pharmacology Herrik et al. 2010 Irregular Burst Regular Irregular Burst
  • 29. Department of Neuroscience and Pharmacology (Dias 35) Methods in Multi-unit activity (MUA) Single electrode ! ! ! Stereotrode ! ! ! Tetrode Claus Mathiesen October 2012 Low resolution •distance Root-Mean-Square (RMS) ! Better resolution •distance + location ! ! Even better resolution •Distance + 2D location
  • 30. Pro and Cons with types of ephys recording Claus Mathiesen October 2012 Department of Neuroscience and Pharmacology Method Pro Cons EEG Non-invasive, comparative to human studies, timing Bad localisation (3-5cm), no info on cell types, or mode of Evoked field potentials Robust indicator of action synchronous synaptic activity Invasive, only on evoked response, not well with non-aligned Current source cells density Robust indicator of transmembrane ion flux, better localisation same as above Single unit activity (SUA) Info from one cell Only one cell Multi unit activity (MUA) Better overall estimation of spike activity lack cell type information
  • 31. Bands for different Ephys signals Gamma 30-80 Hz (memory) Claus Mathiesen October 2012 Department of Neuroscience and Pharmacology Delta 4 Hz (deep sleep) Theta 4-7 Hz (REM sleep) Alpha 8-13 Hz (light sleep, or quit awake) Beta 14-30 Hz (active awake) Evoked field potential (Synaptic strengths) 0.1-1000 Hz Spikes /action potentials 300-3000 Hz peak 1000 Hz • Single unit activity (1-100 spikes/s) •Multi unit activity
  • 32. THANK YOU FOR YOUR ATTENTION Claus Mathiesen October 2012 Department of Neuroscience and Pharmacology (Dias 38)