nature electronics

An organic artificial spiking neuron for in situ neuromorphic sensing and biointerfacing

Nature Electronics | Volume 5 | November 2022 | 774–783                                                                                                                              774

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Fig. 1 | A biological neuron and the OAN. a, Simplified schematic of a biological neuron. Action potentials, the basic cell-to-cell communication events, are         generated by rapid transmembrane ion exchanges through ion channels, and      they propagate across the axon. In myelinated cells, alternate myelin/non-myelin domains (nodes of Ranvier) contribute to the fast and long-range action              potential propagation. Biological neurons are immersed in an electrochemical   environment, such as an aqueous electrolyte. This extracellular space is              a common reservoir containing various biological carriers for signalling             and processing (ions, biomolecules and so on). Noise is also present in this          environment. Ionic channels on the membrane endow neurons with ionic/          molecular specificity and recognition. b, Circuit diagram ofthe OAN. The main   part is an OEND that displays S-shaped negative differential resistance (S-NDR)

phenomena and is responsive to ionic and biomolecular species common to        biological environments. The OEND consists oftwo OECTs, namely, T1 and T2,       that are connected via the R1 = 5 kΩ and R2 = 10 kΩ resistors in a cascade-like          configuration with feedback. The OAN is formed when the OEND is connected to  an RC element (R = 10 kΩ; C = 6 nF to 10 μF) and voltage source Vin. Here Vout and Iout are the resulting output voltage and current, respectively, ofthe OEND under the influence of Vin. G, gate; S, source; D, drain. c, Schematic ofthe OECT that forms    the OEND. The channel ofthe OECT consists of an organic mixed ionic–electronic conductor (OMIEC), such as PEDOT:PSS. d, Sensing mechanism in PEDOT:PSS.     Ionic or polyatomic ions interact with PEDOT:PSS and modulate the doping level  and hole conductivity of PEDOT:PSS, which results in a change in the OECT drain  current and threshold voltage.

components results in bulky biomimetic circuits that are not suitable for direct, in situ biointerfacing.

Volatile and nonlinear devices based on memristors or spin torque oscillators can be used to increase the integration density and emulat- ing neuronal dynamics14,15. Metal-oxide memristive devices based on metal –insulator transitions exhibit negative differential resistance phenomena that are suitable for the emulation ofneuronal dynamics14. Such devices with a negative differential resistance are locally active, and therefore, electrical input stimuli trigger voltage or current spikes in analogy with biological neurons. Artificial neurons based on memris- tive devices with a negative differential resistance have the potential for high integration density1,16. Nevertheless, the intrinsic sensitivity of solid-state memristive devices to moisture prevents in situ biointerfac- ing in biologically relevant host environments17. Although memristive arrays have been used for pre- and post-acquisition biosignal process- ing, they have not been used for in situ biointerfacing18,19.

Spin torque oscillators are magnetic nanodevices compatible with silicon technology1,15. Their nonlinearity and dynamics have been recently leveraged for spoken language and audible source recogni- tion15. However, there is no viable route for biointerfacing with spin torque oscillators, as their oscillatory dynamics are too fast (around gigahertz frequencies) for interacting in real time with biological processes. Their operation also requires the presence of magnetic fields. Other approaches for spiking or oscillatory devices and cir- cuits —including Mott-transition-based memristive devices20,21, fer- roelectrics22, photonics23and two-dimensional materials24—have been developed, but all of them encounter similar problems. By omitting various aspects ofactual biological wetware, artificial neurons based on electronics are insufficiently capable ofemulating/handling the biosig- nal diversity and thus of operating in situ in biological environments.  Organic electrochemical devices based on organic mixed ionic– electronic conductors offer an alternative approach to neuromorphic

Fig. 2 | Nonlinear phenomena ofthe OEND and bifurcation. a, Nonlinear          phenomena ofthe OEND in the V(I) mode (application of current sweep and         measurement ofthe resulting voltage) and I( V) mode (application ofvoltage       sweep and measurement ofthe resulting current). Parametric oscillations           (Lissajous-like plot) ofthe OAN (OEND + Vin + RC) and their projection in the         current versus time plane are shown. Here Iout ( Vout) is the output current (voltage) between the OEND and ( Vin + RC). b, Regular (tonic) current spiking Iout for

various capacitances C = 1?10 μF and Vin = 1.75 V. They axes are the same for all     the subpanels. c, Frequency response of a voltage-controlled oscillator (C = 1 μF). This response shows the firing frequency versus input voltage difference (ffir             versus ΔVin), where ΔVin = Vin ? Vth is the input voltage above the threshold voltage Vth for spiking. d, Continuous OAN firing under fixed Vin. The insets show the        stability ofthe spiking waveform for 50, 3.5 × 104 and 1.05 × 105 spiking cycles. All the measurements are performed in an aqueous electrolyte (100 mM NaCl).

electronics25. Organic electronics can operate in close proximity to biology due to their soft nature and the ability to directly interact with ions in aqueous electrolytes3,26,27. Organic synaptic transistors have developed rapidly, showing outstanding analogue memory phenomena with low-voltage operation and linearity in weight update (in contrast, nonlinear phenomena are required for the implementation of neu- ronal dynamics)28–31. In addition, organic artificial synaptic devices have demonstrated neurotransmitter-mediated plasticity when cou- pled with dopaminergic cells32,33 and have also been interfaced with non-electrogenic cells34. However, such devices are passive elements and therefore are not able to emulate neuronal dynamics. Recently, organic electrochemical neurons have been reported13. However,this approach is based on many-element conventional oscillatory circuitry and does not possess the complexity in neuronal dynamics that nonlinear elements can potentially display. The integration of neuromorphic electronics with biology requires artificial synapsesthat can interfacewith biological ones, as well as artificial spiking neurons that can operate and respond to local biological signals in situ, that is, in the wet biological environment.  In this Article, we report an organic artificial spiking neuron with electrobiochemical degrees of control that enable local and in situ neuromorphic sensing and biointerfacing. The organic artificial neuron (OAN) can operate in a liquid and shows inherent biosensing primitives. It consists ofa compact nonlinear electrochemical element that exhib- its negative differential resistance that is sensitive to the biological environment that hosts the OAN. The OAN responds to ionic species commonly found in the extracellular space, and its spiking response is sensitive to typical physiological and pathological ionic concentra- tion ranges (5–150 mM). Small-amplitude (1 –150 mV) electrochemical oscillations and noise in the electrolytic medium shape the neuronal firing properties. Therefore, the artificial neuron exhibits spiking properties (which are stable for >105 spiking cycles) that depend on the local ionic, biomolecular or neurotransmitter species ofthe aqueous environment —behaviour that is analogous to a biological neuron that is surrounded by the extracellular space containing various biological carriers for signalling and processing (Fig. 1a). In particular, in situ changes in ionic (≥2% increase) and biomolecular (≥0.1 mM of dopa- mine) concentrations modulate the neuronal excitability and trigger spikes. Ion-specific oscillations for sodium (Na+) and potassium (K+) are also possible, providing a pathway for emulating ion channel dynamics. Furthermore, we create a biohybrid interface in which artificial neurons synergistically function with membranes of epithelial cells and where

the biological membrane barrier modulates the spiking properties of the artificial neuron in real time.

Organic artificial spiking neuron

The OAN consists ofa compact nonlinearbuildingblock made ofonlytwo organic electrochemical transistors (OECTs), namely, T1 and T2 (Fig. 1b). Both OECTs are p-type transistors: T1 is a depletion-mode transistor, whereas T2 is an enhancement-mode transistor. The mixed ionic – electronic conductor poly(3,4-ethylenedioxythiophene) (PEDOT) doped with poly(styrene sulfonate) (PSS) and poly(2-(3,3′ -bis(2-(2- (2-methoxyethoxy)ethoxy)ethoxy)-[2,2′ -bithiophen]-5-yl) thieno [3,2-b] thiophene) (p(g2T-TT)) are used for the T1 and T2 channel, respec- tively35,36. The electrical characteristics of T1 and T2 are presented in Supplementary Fig. 1. The OECTs operate in aqueous environments and are sensitive to ionic species and polyatomic ions (Fig. 1c). For instance, the channel ofT1 consists ofthe organic mixed ionic–electronic conduc- tor PEDOT:PSS (ref. 26). Both channel and gate of an OECT are in direct contact with the electrolyte. In the case of a p-type OECT, when a posi- tive gate voltage VG is applied, cations drift into the polymeric channel and reduce the hole concentration, and consequently, drain current ID is lowered. When a negative VG is applied, cations are removed from and anions drift into the polymeric channel, the hole concentration increases, and this results in a larger ID. In OECTs, ions can penetrate the bulk ofthe polymer and the volumetric nanoscale ionic–electronic charge compensation results in a large current modulation. This high gate voltage to drain current modulation yields a high transconduct- ance, which is the hallmark of OECTs. Another key feature of OECTs is the dependence of ID on the ion concentration in the electrolyte. More precisely, the fixed charges in the ion-conducting phase of the polymeric channel are electrostatically compensated by the mabileions provided by the electrolyte. This Donnan equilibrium results in a concentration-dependent voltage drop at the polymer/electrolyte interface, which is, in turn, mirrored by the OECT threshold voltage. As shown in Fig. 1d, ionic or polyatomic cations (anions) interact with PEDOT, a hole conductor, and PSS, an ionic conductor, and decrease (increase) the doping level of PEDOT, resulting in a decrease (increase) in ID and the OECT threshold voltage (Fig. 1d). Here T1 and T2 are con- nected in the cascade-like configuration with feedback resistors R1 and R2, obtaining a two-terminal organic electrochemical nonlinear device (OEND) (Fig. 1b).

The current–voltage V(I) and voltage–current I( V) characteristics ofthe OEND are displayed in Fig. 2a. The OEND is accessed either in the V(I) or I( V) mode with current I or voltage Vas the independent variable, respectively. An S-shaped negative differential resistance is accessible only in the V(I) mode, by applying current at the single-valued nega- tive differential resistance characteristic. In the I( V) mode, the OEND

shows m*lued characteristic with unstable points of operation to be directly accessed by applying a voltage. A detailed analysis of the OEND response with experimental and simulation data is shown in Supplementary Figs. 1 and 2. Consecutive V(I) or I( V) scans display highly reproducible responses of the OEND (Supplementary Fig. 3). The time response τOEND of the OEND element for square-wave input pulses is τOEND ≈ 11 ms (Supplementary Fig. 3).

When the OEND is coupled to an RC element (Fig. 1b) forming an OAN, its response bifurcates, producing voltage or current oscillations (Fig. 2; load-line analysis is shown in Supplementary Fig. 4). These spike-based oscillations represent the‘action potentials’of the OAN (Supplementary Fig. 5). Figure 2b displays the current response Iout ofthe OAN for different values of capacitor C. The firing frequencyffir can be finely tuned between 6 and 40 Hz by changing C, a range that is consistent with physiological levels of instantaneous firing rates in biological neurons37. The firing frequency range can be further extended by modifying C or by using high-frequency-response OECTs38. In the case of polymer-based capacitors, capacitances in the range of nanofarads to microfarads can be reached with micrometre-scale PEDOT:PSS-based capacitors26. The parametric oscillatory response in the I? V plane and the instantaneous power dissipation Pinst of the OAN is shown in Supplementary Fig. 6. The instantaneous power dis- sipation is given by Pinst = Vin/R( Vin ? Vout), where Vin, Vout and Iout refer to the input voltage, output voltage and output current of the whole OAN, respectively. The calculation includes all the OAN components (for example, transistors, resistors and capacitor). The mean power dissipation Pmean = 143 μW. As shown in Fig. 2cand Supplementary Fig. 7, the OAN behaves as a voltage-controlled oscillator andffir is modulated by increasing ΔVin (ΔVin = Vin ? Vth, where Vth is the OAN oscillation thresh- old) within the oscillation window. For ΔVin = 0 –70 mV, the relative increase in firing frequency is Δffir/fmin ? 18%, with a voltage-controlled oscillator sensitivity of Δffir/fmin/ΔVin ? 260% per volt.

The amplitude and window of the current or voltage oscillations can be precisely designed (Supplementary Fig. 8), for instance, by engi- neering the threshold voltage oftransistors T1 and T2. In this case, the oscillatory window is shifted to a lower voltage level when decreasing the threshold voltage ofT1 by doping PEDOT:PSS with the amine-based molecular dopant N-methyl-2,2′ -diaminodiethylamine (ref. 39), and Pmean is decreased from 143 to 24 μW. For a capacitor with C = 6 nF and by neglecting the static power dissipation, the energy consumption per spike is Espike = 57 nJ. The amplitude profile of the current oscil- lations can also be engineered by varying R1 and R2 of the OAN (the effect ofR1 and R2 on the nonlinear properties ofthe OEND is shown in Supplementary Fig. 2). It should be noted that doping causes perma- nent threshold-voltage shifts and dynamic reconfigurability can be induced by introducing synaptic transistors instead of volatile ones. In the case of PEDOT:PSS, the threshold voltage can be tuned on the fly by changing the ion concentration40, a phenomenon that is exploited here to obtain an ion-concentration-dependent firing frequency. The OAN displays fully consistent stability when continuously operated at various amplitude and frequency conditions, as the firing response is practically unaffected for >105 spiking cycles (Fig. 2d). The OAN stability as a function of the number of spikes is also evaluated. The amplitude of Iout reduces by ~2.8 × 10?5% per spike. As a result, after 106 spikes, the OAN current amplitude is equal to approximately 71% ofthe initial amplitude.

The OAN shows the key characteristics observed in the spiking response of biological neurons. The OAN operates in a liquid, a prop- erty that is reminiscent of the extracellular environment of biologi- cal neurons in the cerebrospinal fluid. The excitability of the OAN, that is, the tendency of a neuron to fire spikes, can be modulated by the presence of electrochemical oscillations transmitted by means of ionic fluxes in the electrolytic medium. Figure 3a shows that the in-liquid electrochemical oscillations shape the firing properties of the OAN, mimicking the characteristic features ofbiological neurons41.

An increase of only a few millivolts at the potential of the electrolytic medium elicits spikes with high temporal precision (Supplementary Fig. 9), and a forced bursting activity is phase locked with the ionic signal in the electrolyte. During the time window of the input signal that is above the OAN threshold voltage Vth, the OAN fires and there- fore the input phase coordinates firing. Variation in the electrolyte potential as small as 1 –2 mV at the very edge of the OAN threshold Vth results in stochastic firing, thus reproducing the behaviour observed in biological neurons42. Such small variations in the electrolytic medium potential are in the same range ofthe biopotentials ofthe extracellular electrolytic space (microvolts to millivolts)43. The OAN threshold allows for additional bioplausible behaviours, such as in-liquid all-or-nothing spiking and subthreshold oscillations (Supplementary Figs. 9 and 10, respectively). The spiking properties of the OAN for input voltage pulses is shown in Supplementary Fig. 9.

Due to its finite response time, the OAN displays a stimulus – response delay (Fig. 3b), as well as behaves as a temporal integrator (Fig. 3c). The stimulus–response delay in biological neurons, known as spike latency, can provide a rapid and efficient neural coding scheme beyond simple rate coding, as latency can be a faster differentiator than the mean firing rates44. We further investigate this delay and reproduce the spike latency characteristic ofbiological neurons. Figure 3bshows that the stimulus-firing phase difference Δφ is modulated by the input voltage difference ΔVin (time-domain response is shown in Supple- mentary Fig. 11). Stronger stimulation induces shorter latencies, as observed in biological sensory systems45. Due to the finite and relatively slow time constant of biomembranes, biological neurons temporally integrate inputs and display firing under certain interstimulus timing conditions46. This integration lowers the timing precision and offers temporal buffering windows for ongoing neuronal inputs, ensuring the consolidation and stability of neuronal sequences46. Analogous to biological neurons, the OAN integrates time, buffers input stimuli and fires for short non-overlapping interstimulus intervals (Fig. 3c).

Biological environments are characterized by seemingly random fluctuations at a range of spatiotemporal scales, and therefore, neu- rons are constantly operating under noisy conditions47. This noise couples with neuronal dynamics, influencing neuronal excitability and firing properties. Although counterintuitive, noise can be benefi- cial for neuronal communication and processing. For instance, noise can enable the transmission of weak subthreshold signals, smooth- ens subthreshold-to-threshold nonlinearities or even enhances the communication efficiency by increasing the signal-to-noise ratio or by altering the neuronal coding schemes47. The noise-induced activ- ity of the OAN is presented in Fig. 3d. The OAN is biased with a d.c. input voltage at the subthreshold regime, and white noise of variable amplitude ( Vpp = 5?150 mV) is injected in the electrolytic medium to emulate extracellular noise/fluctuations. As the amplitude ofthe noise increases, a gradual transition from tonic ( Vpp = 0?25 mV) to irregular firing ( Vpp = 50 mV) is observed. For low noise levels, the frequency of tonic firing remains practically constant, that is,ffir ? 6.5 –7.0 Hz. As the noise level increases, packets of spikes are observed. Recurrence plots of the interspike intervals and spike-to-spike amplitudes (Sup- plementary Fig. 12) indicate a change in the coding scheme from tonic to noise-induced bursting activity, as well as the resilience of spiking against noise in the electrolytic medium.

In situ spike-based neuromorphic sensing

It is estimated that the extracellular electrolytic space occupies a volume fraction of ~15 –30% of the brain tissue. This extracellular space is an aqueous electrolyte comprising various ionic species (mostly Na+, K+, Cl? and Ca2+) and represents a reservoir by maintain- ing homoeostatic balance of the ion concentrations under physi- ological conditions. In mammalian cells, the range of physiological concentrations for Na+ is cext = 130?150 mM and cint = 10?15 mM and for K+, cext = 3?12 mM and cint = 150?160 mM, where cext and cint are the

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Fig. 3 | An organic artificial spiking neuron. a, Electrochemical

oscillation-mediated neuronal firing. The OAN is biased with a time-varying input voltage Vin via the electrolytic medium ofT1 and T2, with a d.c. bias of 1.68 V and    an a.c. signal of50 mVpp (≤ Vth ofthe OAN). Phase-dependent firing is observed      for electrolyte voltage differences of 1?40 mV above the firing threshold

Vth. b, In-liquid spike latency (firing phase delay Δφ versus ΔVin). c, In-liquid  temporal integration. Firing occurs for short interstimulus time intervals or high duty cycles. d, Noise-induced neuronal firing ofthe OAN with different

levels of amplitude ofwhite noise in the electrolytic medium. Iout versus time   (top) and the corresponding time–frequency analysis (bottom) or short-time Fourier-transform spectrogram for representative amplitudes ( Vpp = 25, 50     and 150 mV). White noise at the electrolytic medium ( Vpp = 5?150 mV) induces activity transition from tonic firing to bursting, with constant firing frequency ffir ≈ 6.5?7.0 Hz. All the measurements are performed in an aqueous electrolyte (100 mM NaCl).

extracellular and intracellular concentrations, respectively48. Although homoeostatically balanced, these ion concentrations can change in different spatiotemporal scales. Minute concentration variations in the proximal extracellular space of a neuron are induced during an action potential (fluctuations of approximately 5% for Na+ and 20% for K+ from physiological baselines)49. Many pathological conditions (for example, spreading depression, epilepsy and migraines) are mani- fested as homoeostatic imbalance; for instance, extracellular Na+ and K+ concentrations can decrease to 60 mM and increase to roughly 55 mM, respectively50. Moreover, the extracellular medium contrib- utes to intercellular, non-synaptic communication via variations in the extracellular electric fields (for example, ephaptic coupling)51, neurotransmitter spillover (such as diffusion to adjacent synapses)52 or via extracellular-mediated diffusion of neuromodulators53.

The OAN, due to its in-liquid operation, exhibits firing proper- ties that depend on the ionic concentration of the electrolyte host. As the electrolyte concentration increases, the ionic conductivity of the electrolyte also increases; thus, T1 (or T2) has a lower response time andffir increases54. Figure 4a shows the dependence of the firing waveform on the NaCl concentration (in an aqueous solution), cNaCl. Hereffir increases from 25 to >50 Hz for cNaCl = 80 –150 mM, a range that is on par with common physiological and pathological extracel- lular Na+ concentrations (Fig. 4b). This results in a relative increase in the firing frequency of Δffir/fmin ? 110% and agrees with the behaviour

of biological neurons in whichffir increases with the extracellular Na+ concentration55. As further confirmation, Supplementary Fig. 13 shows that the OAN also operates under the common physiological/patho- logical range ofextracellular K+ concentrations in an aqueous solution, namely, cKCl = 5 –50 mM; furthermore, in this case,ffir increases with the K+ concentration. The responsiveness ofthe OAN at biophysically relevant ionic concentration ranges is essential for the in situ operation ofthe OAN with biological membranes and neurons.

Changes in ionic concentration gradients between the intracellular and extracellular medium ofbiological neurons alter their excitability/ threshold, and firing can be initiated by varying these concentrations56. As an example, Fig. 4c shows that small variations (~2 –10%) in NaCl concentration over a biologically relevant baseline (100 mM NaCl) can increase the OAN excitability and induce firing. Bothffir and time delay between the increase in concentration and neuronal excitation Δtfir correlate with the ion concentration (Supplementary Fig. 14). Moreover, the behaviour shown in Fig. 4c is in agreement with the excitation profiles for similar extracellular Na+ concentrations of the Hodgkin–Huxley neuron model (Supplementary Fig. 14).

Dopamine is a modulatory neurotransmitter that regulates essen- tial brain functions including cognition, learning, motivation, motor control, mood regulation and addiction57. At the cellular level, dopa- mine can impact neuronal excitability in a multitude ofways (resulting in excitatory or inhibitory and time- and concentration-dependent

a                                                              b                                                                                 c

Fig. 4 | In situ spike-based neuromorphic sensing. a, Representative waveforms ofthe OAN firing response for different ionic concentrations (here aqueous         NaCl). b, Electrolyte-controlled oscillators ofthe OAN. Firing frequency as a         function of ionic concentration,ffir versus cNaCl. The range of extracellular Na+             concentrations cext under common physiological and pathological conditions in  the brain is indicated by the red dashed line. c, Electrolyte-induced excitability     ofthe OAN. Minute perturbations in ionic concentrations (2?10% NaCl) over        the physiologically relevant baseline (100 Mm NaCl) enhance the neuronal           excitability and initiate tonic spiking. d, Iout as a function oftime. The presence

of dopamine (0.1?2.0 mM) in the cell culture solution (phosphate-buffered         saline) excites the OAN and induces tonic spiking, demonstrating                       neurotransmitter-induced excitability. e, Ion-selective OANs induce ion-specific oscillations, emulating the dynamics of biological ion channels in liquid and on   chip (channel conductancegK,gNa). As an example, the OAN is selective to K+ ions and insensitive to Na+ interfering ions. In all the experiments (ion concentration  changes, exposure to dopamine and incorporation of ion-selective membranes), the sensing device is T1 and the same electrolyte conditions (100 mM NaCl) are    maintained for T2.

effects), both via synaptic and non-synaptic activation of dopamine receptors58. For example, dopamine has a net excitatory effect on primate pyramidal neurons59. As shown in Fig. 4d, the presence of dopamine in the electrolyte increases the excitability of the OAN and initiates tonic firing. Excitation is observed in shorter time delays Δtfir for higher dopamine concentrations, whereas a slight decrease inffir is observed (Supplementary Fig. 15). The behaviour shown in Fig. 4d highlights that the initiation ofspikes can be biochemically triggered, a property that resembles the biological neuronal signalling phenomena. It should be noted that the OAN also exhibits biorealistic diversity in signalling, as dopamine-mediated inhibition can be induced by altering the OAN biasing scheme (Supplementary Fig. 15).