Foundations I Fall, 2017
- I. Overview of Different Techniques
for Monitoring Neuronal Activity
- II. Basics of Electrical Circuitry
Foundations I Fall, 2017 I. Overview of Different Techniques for - - PowerPoint PPT Presentation
Foundations I Fall, 2017 I. Overview of Different Techniques for Monitoring Neuronal Activity II. Basics of Electrical Circuitry Intracellular Recording Intracellular recording measures the difference between the potential (voltage) inside
Sir John Eccles (1903 -1997)
Small-tipped glass micropipettes (<1 µm) were introduced by Ling and Gerard in 1949 for in vivo intracellular recording in the spinal cord. Intracellular microelectrodes are filled with potassium acetate, methysulfate, gluconate
Intracellular micropipettes have high resistance (50-100 MΩ)
Today this technique is termed “Sharp Electrode Recording” and remains a common method for intracellular recording in vivo, although it is being supplanted by whole cell patch clamp recordings and is now rarely used in vitro recordings.
Intracellular recording measures the difference between the potential (voltage) inside of a cell and an extracellular reference, take to be 0 mV. This is equivalent to saying that it can also be used to measure the current flowing through the cell’s membrane.
measures transmembrane voltage measures transmembrane current(s)
dendrites OK dendrites bad biophysics/kinetics bad biophysics/kinetics good can measure firing activity no firing activity less sensitive more sensitive C-Clamp V-Clamp
voltage clamp recordings
PD 14 PD 19 PD 29 PD 32 Adult
20 mV 80 ms
Current Clamp recordings
excitatory postsynaptic potentials (EPSPs)
20 ms 10 mV
PD10 PD14 PD22 PD32 Adult monosynaptic polysynaptic
power test for monosynapticity
monosynaptic vs. polysynaptic?
20 mV
"Up" State "Down" State
0.5 sec subthreshold membrane oscillations
spikes
250 pA 100 mV 20 ms
presynaptic neuron (stimulus) postsynaptic neuron (response)
EPSCs
(inward current)
current clamp voltage clamp
25 mV 1 nA 100 ms
0.400 0.200
0.000 15.000 30.000 45.000 Current (nA) Voltage (mV)
intracellular current pulses (I) IV Plot membrane potential (V) (stimulus) (response)
R i 1
= 200 MΩ
R i 2 =100 MΩ R i 3
=60 MΩ most neurons are non-linear
Intracellular micropipettes can be filled with various substances that will stain the entire neuron
in vivo biocytin filled neuron intracellular recording
HRP-labeled dendrite unlabeled presynaptic terminal
...not the method of choice for spontaneous activity measurements since impalement may damage or otherwise affect the neuron - “somatic shunt” problem. ...recordings may be difficult to obtain and maintain particularly in small CNS neurons in vivo.
Most modern ex vivo (slice) recordings now use a newer technique
uses large tipped (1-2 µm), low resistance (3-6 MΩ) micropipettes
Neher Sakmann
very stable can access very small neurons used mostly in slices or dissociated cells but can be used in vivo as well
voltage clamp dissociated cells slice culture
network connectivity? pharmacological manipulation? ease of recording? anatomical studies?
✔ ✔ ✔ ✔ ? ✔
20 mV 0.5 nA 40 ms
14.600
105 210 315 420
Current (nA) ΔVoltage from rest (mV)
* * * * * * * * * *
ΔVoltage from rest (mV) Input Resistance (MΩ)
0.100
15.000
micropipette cell
enhanced green fluorescent protein TH-EGFP Infrared Differential interference contrast (IR-DIC) can be made cell-type specific with viral mediated gene transfer and Cre recombinase
cell soma
pipette tip
allows genetic and neurochemical phenotyping of recorded cell
10 20 100 200 300 1 2 3 1 2 3 time (min) Amplitude (pA)
time (min) Amplitude (pA) 100 200 10 20 4 nA 25 ms 10 pA 1 2 3 1 2 3 5/20 15/20
Presynaptic whole cell Presynaptic Perforated-Patch
10 pA 25 ms 0.4 nA
gramicidin (anion-impermeant) amphotericin (anion-impermeant) nystatin (anion permeant, some cation per
Zecevic, 1996
GCamp6 expressed in dopamine axons
reward
What kind of information can one get from extracellular recordings?
wire electrodes microelectrodes filled with electrolyte usually NaCl platinum-iridium or tungsten in glass Low resistance - 0.2 mΩ - 20 mΩ Extracellular recording measures the highly localized field surrounding a neuron
evoked responses
spike noise signal to noise ratio ~10:1
2.0ms
*
4.0ms
A B C
2 ms
* C D
collision! collision! antidromic responses waveform information identification of projection neurons
initial segment component somatodendritic component
spontaneous (orthodromic) spikes
fixed latency conduction velocity
Intracellular spike 4 ms 25 mV Differentiated spike 4 ms 4 ms Extracellular spike
2 4 6 8 10 12 14 16 100 200 300
time (msec)
A B
20 msec
number of events
raster plot peri-stimulus time histogram (PSTH)
stimulus at time 0
inhibition rebound excitation
Synaptic responses
First Order Interspike Interval Histogram (ISH)
Text
unimodal little ISI variance bimodal large ISI variance unimodal little ISI variance higher firing rate unimodal greater ISI variance
i3 i4 i2 i1
16 32 48 64 80 96 112 128 200 400 600 800 time (msec)
Mean Firing Rate = 4.96 Spikes/sec
200 400 600 800 1000
Mean Firing Rate = 4.92 Spikes/sec
600 800
Mean Firing Rate = 5.84 Spikes/sec
Bursty Firing Mode Random Firing Mode Pacemaker Firing Mode
time (msec) time (msec)
3 sec
16 32 48 64 80 96 112 128 16 32 48 64 80 96 112 128
3 sec 3 sec
number of events
200 1000 1000 400
first pass second pass third pass etc through pass n-1 i2 i1 i3
~ 1 µm recording tip ~ 10 µm drug ejection Local Pressure Injection of Drugs
Text
English et al., 2012
halorhodopsin3
20ms
200_m 20_m
Multisite recording
polarity reversal
Power spectra
Text Text
single trial average of 32 trials
ERP
N1 P1 N2 N3
1 V = work to move 1 coulomb 1 meter against 1 newton
E is the integral of force over distance
1 ampere(A) = 1 coulomb/sec
the charge on a proton or electron is 1.6X10 C
(this is pretty small)
The unit of resistance is the Ω
Resistances connected in series add linearly:
e.g., Rtot= R1+ R2
R R1
2
Rtot 2 Ω 4 Ω 6 Ω Resistors In Series
2 + 4 = 6
e.g., 1/Rtot=1/R1+1/R2
Rtot 1.33 Ω R 2 Ω R 4 Ω
1 2
Resistors In Parallel
1/2 + 1/4 = 3/4 1/(3/4) = 4/3 = 1.3333
Sometimes it is more convenient to think of the relation between current and voltage in terms of the reciprocal of resistance, which is called conductance. Conductance (g) is defined as 1/R and is given in units called siemens (S). Thus, conductances in parallel add linearly and conductances in series add as their reciprocals.
(Once upon a time the units of conductance were just 1/Ω and were called “mhos”)
A capacitor consists of two conductive plates separated by an insulating material Note that current doesn’t really flow through the capacitor since there is an insulator in the middle. Rather, the circuit behaves as though current is flowing as opposite charges move to the two plates of the capacitor. When the plates are fully charged, there is no more current flow in the circuit. That means that when the voltage is constant (dV/dt = 0), there is no capacitative
+ + + + + + +
capacitor
where ε =dielectric constant (measure of insulatability) ε0 =polarizability of free space (9x10-14 f/cm2) A =surface area of plates d =distance between plates
e.g., Ctot =C1 + C2
2 + 4 = 6 C1 Ctot 2 mf 4 mf 6 mf
+ + +
C2
e.g., 1/Ctot = 1/C1 + 1/C2
1/2 + 1/4 = 3/4 1/(3/4) = 4/3 = 1.3333
C2 C1 C tot 2 mf 4 mf 1.33 mf + + +
Ideal capacitors will charge and discharge at speed of electrons flowing in a wire (close to c), but no capacitative circuit has no resistance. Instead, we consider capacitative circuits (as in a neuronal membrane) as consisting of a capacitance (C) and a resistance (R) in parallel.
The resistance slows the flow of current and the resulting voltage change
Ohms Law
Rearrange
Rearrange
differentiate
define the time constant, τ as and substitute
substitute for dq/dt
current is rate of flow of charge, i.e. rate of change of charge so
(V is negative because charge is decreasing over time)
What is the rate of change of voltage in a circuit with a resistance and a capacitance?
integrate and solve for V
definition of capacitance
Because of the capacitance, the voltage rises (and decays) slowly, with a time course dictated by the resistance and the capacitance
I V
Time
Text when t = τ