33rd Annual International Conference of the IEEE EMBS
Boston, Massachusetts USA, August 30 - September 3, 2011
High-frequency limit of neural stimulation with ChR2
N. Grossman, K. Nikolic, M. S. Grubb, J. Burrone, C. Toumazou, Fellow, IEEE, P. Degenaar
Abstract² Optogenetic technology based on light activation
of genetically targeted single component opsins such as
Channelrhodopsin-2 (ChR2) has been changing the way
neuroscience research is conducted. This technology is
becoming increasingly important for neural engineering as
well. The efficiency of neural stimulation with ChR2 drops at
high frequencies, often before the natural limit of the neuron is
reached. This study aims to investigate the underlying
mechanisms that limit the efficiency of the stimulation at high
frequencies. The study analyzes the dynamics of the spikes
induced by ChR2 in comparison to control stimulations using
patch clamp current injection. It shows that the stimulation
dynamics is limited by two mechanisms: 1) a frequency
independent reduction in the conductance-to-irradiance yield
due to the ChR2 light adaptation process and 2) a frequency
dependent reduction in the conductance-to-current yield due to
a decrease in membrane re-polarization level between spikes
that weakens the ionic driving force. The effect of the first
mechanism can be minimized by using ChR2 mutants with
lower irradiance threshold. In contrast the effect of the second
mechanism is fundamentally limited by the rate the native ion
channels re-polarize the membrane potential.
I. INTRODUCTION
O
PTOGENETICS technology that combines optics and
genetics has been revolutionizing the way researchers
interface with neurons [1]. Using genetically encoded agents
such as Channelrhodopsin-2 (ChR2) [2], light sensitivity can
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can then be optically activated using remote light sources.
Since its introduction to neuroscience [3], ChR2 has been
used extensively in in-vitro and in-vivo research [4], and it
has been investigated for clinical applications such as retinal
prosthesis [5-6] and other aspects of neurotechnology [7].
Stimulating neurons with ChR2 is however fundamentally
different from the traditional electrical approaches.
ChR2 is a cation channel from the green algae
Chlamydomonas reinharditii, see e.g. [8-9]. In nature, ChR2
helps the algae to take a position in optimal photosynthesis
conditions. Like other opsin-based proteins, ChR2 absorbs
light through its interaction with retinal which undergoes a
trans±cis isomerization. The retinal isomerization induces a
series of conformation changes in the protein that can
N. G., K. N. and C.T. are with the Institute of Biomedical Engineering,
Department of Electrical and Electronic Engineering, Imperial College
London, SW7 2AZ, UK.; ({nir.grossman,k.nikolic} @ imperial.ac.uk).
P. D. is with the Department of Electrical Engineering, Newcastle
University, UK.
M. S. G. and J. B. are with the Department of Developmental
Neurobiology, King's College, London, UK.
978-1-4244-4122-8/11/$26.00 ©2011 IEEE
eventually lead to the opening of an ion conducting pore.
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conductance which leads to cytoplasmic current.
ChR2 is a passive conductor and not a current source and
it exhibits nonlinear characteristics [10] that affect the
dynamics and fidelity of the elicited action potentials. The
temporal resolution of ChR2 stimulation does not always
match the one that is achieved by the electrical stimulation.
The fidelity of ChR2 based stimulation drops at high
frequencies, often before the natural limit of the neuron is
reached, for example: Boyden et al. 30Hz [3], Li et al. 5Hz
[11], Ishizuka et al. 20Hz [12], Arenkiel et al. and Wang et
al. 40Hz [13]. This drop in efficiency at high frequencies led
to efforts to develop fast mutants of ChR2: ChETA [14],
ChD [15] and CatCh [16] (though mutating ChR2 can
compromise other important properties of ChR2 [17]). A
detailed study of the potential effect of these mutations on
the spiking output was recently described by us [18].
The aim of this study is to investigate the underlying
mechanisms that limit the temporal resolution of ChR2
stimulation in order to help researchers to interpret
experimental results, design illumination protocols and
develop strategies for interfacing with neural tissue.
II. METHODOLOGY
The methodology of this study is based on a comparison
between a ChR2-based stimulation and a controlled current
injection using a patch clamp technique.
A. Cell culture and transfection
The study uses rat hippocampal neurons that were
transfected with a fusion protein ChR2-YFP. The ChR2YFP vector was subcloned into a plasmid containing a chick
-actin promoter. Primary dissociated cultures were obtained
from rat hippocampal tissue on embryonic day 18.5.
Hippocampi were digested in trypsin (1 mg/ml in HBSS, 15
min at 37 oC), and dissociated in neurobasal medium with
10% FCS by passing through a series of decreasing diameter
Pasteur pipettes. They were then plated at 300 cells/mm2 on
18mm diameter glass cover-slips coated in PDL (50 g/ml)
and laminin (20 g/ml). Neurons were transfected with the
appropriate ChR2 vector using a lipofectamine procedure at
7 days in vitro (DIV).
B. Optical Stimulation
The cell were illuminated with a fast shuttering (<1ms
10% to 90%), directly modulated diode pumped solid state
(DPSS) 473 nm laser (DPBL-9020, Sp3 plus). The onsample illumination and laser shuttering kinetics were
characterized prior to the stimulation experiments. The laser
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was focused using a single lens to a 125 µm full wave half
maximum (FWHM) spot diameter. The spot size was
measured from a fluorescent image of the matrix on a thin
fluorescent sheet. The illumination beam was focused on the
somas of the neurons to allow for a fair comparison with the
somatic injection stimulations. The images were taken with a
CCD camera (Orca ER) and analyzed with Origin 8.0
(OriginLabs). We used 40mW/mm2 saturating irradiance to
minimize potential errors due to small fluctuation in the laser
output. The on-sample power was measured by imaging the
emitter on the FieldMaxII-TO (Coherent) power meter that
was placed in the image plane.
steady state spiking frequencies of ~33Hz. Using the same
current and irradiance amplitudes, the stimulations were then
switched to a pulse mode. For frequencies up to 40Hz both
generated stable spiking. From ~50Hz, the fidelity of light
stimulation started to drop, while current stimulation stayed
reliable at frequencies >70Hz. Fig.1 (right) shows recordings
for 50Hz and 10ms pulse width. The current injection
stimulation elicited a complete spike train with stable
~2.5ms spike latencies. In contrast, the ChR2 based
stimulation elicited an incomplete spike train, with spike
latencies that constantly increased. A more detailed analysis
of these stimulation patterns is shown in Fig 2.
C. Electrophysiology
Electrophysiological recordings were performed at • 10 DIV
using patch clamp method. Individual coverslips were
placed in a custom recording chamber and bathed with
room-temperature HEPES-buffered saline (HBS) containing,
in mM: 136 NaCl, 2.5 KCl, 10 HEPES, 10 D-glucose, 2
CaCl2, 1.3 MgCl2, 0.01 gabazine, 0.01 NBQX, and 0.025
APV (285mOsm, pH7.4). Patch pipettes, pulled from
borosilicate glass (1.5mm OD, 1mm ID, 3-4 M) were filled
with a solution containing, in mM: 130 K-gluconate or Csgluconate, 10 NaCl, 1 EGTA, 0.133 CaCl2, 2 MgCl2, 10
HEPES, 3.5 Na-ATP, 1 Na-GTP (280mOsm, pH7.4).
Conventional whole-cell patch-clamp recordings were
obtained via a Heka EPC10 double patch amplifier coupled
to Pulse acquisition software. Signals were sampled at
intervals of 65-150 s (6.7-15.4 kHz) and were low-pass
filtered using a 4-pole Bessel filter at 2.9 kHz (filter 2).
Electrical stimulation was achieved by injecting currents that
were tuned to produce the same steady state spiking
frequencies as ChR2 in a constant stimulation mode.
Fig. 1. Plot shows patch clamp recording from ChR2 (top blue) and current
injection (bottom black) stimulation. Under constant stimulation (left) both
methods induced the same steady state frequency however when they were
switched to 50Hz pulse mode (right), ChR2 elicited spikes with longer postspike depolarization and lower fidelity. Light irradiance: 40mW/mm 2;
current injection: 200pA; pulse width: 10ms.
D. Data Analysis
All numerical calculations were performed in MATLAB
7.5.0 (The Mathworks, Natick, MA). When analyzing the
action potentials we considered only depolarization spikes
that exceeded 0mV to be valid. The rate of change in the
membrane potential (dVm/dt) was calculated and the
maximum depolarization and repolarization rates were
identified. The spiking threshold was defined as the voltage
at the onset of each spike at which dV m/dt reached
approximately 5% of its maximum value. ChR2
photocurrents were estimated by recording the neural
responses under both current and voltage clamp conditions.
First, the instantaneous ChR2 conductance was calculated
from the voltage clamp measurements (GChR2(t)=I(t)/Vclamp).
Then, the photocurrents were calculated by multiplying the
instantaneous conductance by the recorded (at current clamp
conditions) membrane potential.
III. RESULTS & DISCUSSION
Fig. 1 shows an exemplary spike train at the resolution
limit of ChR2. The left panel presents the spiking output
from a constant current injection of 200pA (bottom) and a
constant illumination of 40mW/mm2 light (top). The
magnitude of the stimulations was tuned to produce the same
In principle, an increase in the spiking latencies can
happen during the natural frequency adaptation process of
the neuron [19]. The neural adaptation mechanism is based
on modulation of the spiking threshold, which is typically
associated with an incomplete re-polarization of the
membrane potential between spikes that reduces the
recovery of the voltage gated Na+ channels and/or maintains
a sub-threshold K+ conductance. Fig. 2a shows that this
mechanism was however not activated in the example given.
Here, the spiking threshold during ChR2 stimulation was in
fact (~10mV) lower than electrical stimulation, although the
re-polarization of the membrane potential was slightly (510%) weaker with ChR2. The increase in the spike latencies
was therefore related to ChR2 mechanisms and not to the
neuron ones. Fig. 2(c) shows that at lower frequencies ChR2
stimulation was able to elicit a stable spike patterns.
In order to reveal the mechanisms that prolong the spike
latencies, we compared in Fig. 3 a VWHDG\ RU ³VWDEOH´ 10Hz
ChR2 stimulation with an ³unstable´ 50Hz ChR2
stimulation. Fig. 3(a) (left panel) shows the rate by which
the ChR2 currents depolarized the membrane at the initiation
of the elicited spikes. At the first spike, the depolarization
rates are obviously the same. In the example given, ChR2
currents had maximal rate of 25mV/ms at this stage, which
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resulted in a spike latency of ~2ms (note that at this pulse,
ChR2 stimulation is slightly stronger than the corresponding
current injection one). At the initiation of the third action
potential however, the depolarization rate of the two stimuli
differ considerably. The rate of depolarization dropped by
10mV/ms (~40%), during 10Hz stimulation and by
20mV/ms (80%) during 50Hz stimulation. After the third
spike the depolarization rate remained stable in both cases.
Fig. 3(a) (right panel) shows that the membrane potential
re-polarized back to its rest value during 10Hz illumination,
thus maintaining a constant driving force at the initiation of
the spikes. In contrast, the membrane potential remained
almost 15mV depolarized during the 50Hz illumination,
which reduces the driving force by almost a third. The
incomplete re-polarization of the membrane potential
weakened the force that drives the ions across ChR2 pores.
Fig. 2. ChR2 vs. current injection at 50Hz stimulation. (a) Spike latency
(top); normalized to rest potential -65mV and spiking threshold (middle)
calculated as V(threshold) ± V(rest); maximum inter-spike membrane repolarization (bottom). (b) An overlaid plot of the 50Hz light pulses of 40
mW/mm2 (blue) and direct 200pA current injection (black) shown in Fig 1
(right). (c) Spike latencies profile for various illumination frequencies. (d)
Phase plot diagram of steady-state spike from Fig 1 (right). ChR2 (blue).
Current injection (black); Pointers 1-4 correspond to spike threshold,
maximum spike rising rate, spike peak and maximum spike re-polarization
rate, respectively.
Fig. 3. Stable 10Hz vs. unstable 50Hz ChR2 stimulation. (a) Membrane
depolarization rate at the initiation of the first three spikes (left). Minimum
inter-spike membrane potential (right, note negative values). (b) ChR2 peak
conductance (left). Inset: conductance traces measured by clamping the
voltage to the rest potential (-65mV). ChR2 peak currents (right). (c)
Minimum inter-spike ChR2 conductance (left). Minimum inter-spike ChR2
current (right). Full symbol 10 Hz, empty symbol 50 Hz.
The drop in the depolarization efficiency during the 10Hz
stimulation is related to the intrinsic adaptation process in
ChR2 conductance, see Fig 3b (left panel). The adaptation
process is the result of ChR2 intrinsic photocycle [2, 20].
The level of adaptation is determined by the light irradiance,
and it does not depend on the pulsing frequency, as shown in
Fig 3b. The duration of the pulses can affect the rate by
which the process reaches the steady state conductance.
Thus, both 10Hz and 50Hz illuminations induced the
same membrane conductances but the resulted currents were
very different, Fig. 3b (right panel). The current that was
generated during the 50Hz illumination was almost 50pA
smaller than the one generated at 10Hz illumination. The
additional reduction in ChR2 currents at 50Hz is caused by a
different mechanism. This mechanism is related to the fact
that ChR2 is a passive conductor and not a current source.
This means that the level of the membrane potential between
the spikes can affect the magnitude of ChR2 currents.
The rate of membrane re-polarization is fundamentally
governed by the native ion channels [19]. However, residual
ChR2 conductance between spikes can generate dark
photocurrents that resist the re-polarization process, as
shown in Fig. 3(c). The limiting mechanism here is the
shuttering speed of ChR2. During 50Hz stimulation only
63% of the opened ChR2s were closed between pulses
(compare to 99% in the case of 10Hz), which left 150-250pS
conductance, generating more than 50pA of depolarizing
currents in the dark periods. In comparison there was ~0pA
between spikes at 10Hz.
In constant stimulation mode, the passive conductance of
ChR2 had some advantages. Fig. 2 shows that the steadystate spikes that were induced by ChR2 show smaller interspike re-polarization, lower spiking threshold, stronger
depolarization rate after the spikes were triggered, stronger
re-polarization rate after the spike peak, and slightly
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narrower spikes width. At constant stimulation conditions,
the passive conductance of ChR2 introduces smaller
resistance once the spikes are triggered, which helps to
maintain strong re-polarization. A strong re-polarization
process can help the recovery of the Na+ channels and
minimize the accumulation of sub-threshold K+ channels. In
engineering terms, it implies that the feedback mechanism
between ChR2 and the neuron ensures good recovery of the
neural system from its action potential oscillations.
ACKNOWLEDGMENT
This work was funded by the UK Biological and
Biotechnology Research Council (F021127), the UK
Engineering Physical Sciences Research Council (F029241
and H024581) and the University of London Central
Research. The authors would like to express their gratitude
to Karl Deisseroth for the ChR2 vector.
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Fig. 4. Improvement strategies. (a) 50Hz ChR2 stimulation using 1ms (red)
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rectangular, 50Hz triangle.
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IV. CONCLUSIONS
The process of stimulating action potentials with ChR2 is
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