Tejaswini S.
Rao
a,
Subi J.
George
b and
Giridhar U.
Kulkarni
*a
aChemistry & Physics of Materials Unit, Jawaharlal Nehru Centre for Advanced Scientific Research, Jakkur P.O., Bangalore-560064, India. E-mail: kulkarni@jncasr.ac.in
bSupramolecular Chemistry Laboratory, New Chemistry Unit, Jawaharlal Nehru Centre for Advanced Scientific Research, Bangalore-560064, India
First published on 10th April 2025
Cognitive activities in the human brain are driven by the processes of learning and forgetting. However, there is yet another process namely consolidation, which stands as an interface for saving important learnt information from forgetting. Consolidation is imperative for the formation of stable, long-term memories and is an integral part of the memory formation process. Despite significant efforts in emulating learning, forgetting, and several synaptic functionalities through various neuromorphic devices, the efforts to understand the consolidation process are insignificant. Among the two forms of consolidation, namely long-term and working memory consolidations, the present study explores the latter that stabilizes transient sensory input and enhances retention by counteracting decay-based forgetting. Herein, a two-terminal optically active resistive neuromorphic device based on 1D supramolecular nanofibres is utilized to emulate and quantify consolidation, basically, in working memory. The phenomenon aligns with mathematical models using two-time constants, drawing parallels with biological mechanisms. Given the excellent optical and humidity response of the nanofibres, the emulation was achieved by employing optical input as stimuli and enabling the modulation of the photoresponse by exposure to different humidities. By defining consolidation as a function of humidity, the study underscores its role as an active control, reinforcing the connection between environmental factors and memory stability. The variation in consolidation was studied during the learning–relearning, change in environment (hydrated and dehydrated state), fatigue, and habituation processes. Notably, a consolidation parameter is defined to quantify the process of consolidation that is an inseparable process of cognition.
New conceptsLearning, forgetting, and consolidation form three integral parts of memory formation in the human brain. Numerous neuromorphic devices have been utilized to study the learning and forgetting aspects and have proposed equations to quantify the same. Herein, we are quantifying the third crucial aspect namely the consolidation, which has not been paid attention in the neuromorphic literature. While in the cognitive sciences, long-term and working memory consolidations are well-known, the present work focuses only on the latter due to its shorter timescales and practical relevance. We have utilized a 1D-supramolecular nanofibre-based neuromorphic device which shows an excellent optical and humidity response to quantify working memory consolidation. Short-term consolidation enhances memory retention by mitigating decay-based forgetting, which can be effectively modeled using two-time constants that parallel biological mechanisms. The various factors that can affect consolidation are considered with humidity serving as an active control highlighting the strong correlation between environmental conditions and memory stability. The extent of consolidation has been monitored during the learning–relearning process, changes in the environmental conditions (hydrated and dehydrated state), during fatigue and habituation. The quantification of consolidation is crucial to consider while emulating neuromorphic functionalities and building efficient bio-inspired devices. |
Since the dawn of artificial intelligence two decades ago, there have been increasing efforts in the literature to closely emulate the cognitive functionalities of the brain using neuromorphic devices. Several neuromorphic devices have been designed to emulate numerous synaptic functionalities exploiting the optical/electrical pulsing parameters to modulate the extent of learning and forgetting.13 Nonetheless, various reports have exclusively studied the learning and forgetting profiles as well. Forgetting curves are extensively fitted with mathematical models such as Ebbinghaus forgetting equation,14–16 bi-exponential function,17–19 and Wickelgren20,21 equations. Synaptic fatigue,22,23 habituation,24–28 sensitization,24,25,27 potentiation,29 depression,30,31 paired-pulse facilitation,32–37 spike-timing-dependent plasticity (STDP),15,38–40 and associative learning41–46 are some of the largely explored synaptic and cognitive functionalities. Table S1 (ESI†) lists numerous studies reporting crucial synaptic behaviors such as learning, forgetting, relearning, and habituation/fatigue. Despite this, the aspect of consolidation is rarely envisaged with minimal efforts be it a two- or three-terminal, electrically, or optically stimulated neuromorphic device. Li et al. have reported sleep-dependent memory consolidation in silver wires coated with TiO2 with different voltage pulsing schemes.47 Nonetheless, working memory consolidation is hardly explored in neuromorphic devices.
Consolidation can be broadly classified into long-term and working memory consolidation, as described previously.10 Long-term consolidation unfolds over extended time scales, engaging intricate mechanisms, whereas working memory consolidation—also termed short-term consolidation—rapidly converts transient sensory input into a stable memory within milliseconds to a few seconds, depending on input complexity. Given its shorter timescales and practical relevance, the present work focuses on studying working memory consolidation.12 A key mechanism suggests that short-term consolidation improves memory retention by reducing forgetting caused by decay.48 Additionally, mathematical models describing forgetting with two-time constants effectively capture the consolidation process, drawing parallels to biological mechanisms.49 Here, humidity acts as an active control, directly modulating the consolidation process, further emphasizing the strong correlation between environmental conditions and memory stability.50
Herein, a two-terminal optically responsive neuromorphic device based on 1D supramolecular nanofibre is reported. The CS–DMV (coronene–methyl viologen) supramolecular nanofibre utilized in the present study has exhibited excellent sensitivity to relative humidity (RH) and UV light demonstrating their potential as ultrafast humidity sensors and UV photodetector (see Fig. S1, ESI†).51,52 Humidity brings the donor–acceptor molecules closer leading to tighter assembly and efficient charge transfer.51 The favorable molecular absorption in the UV region makes them sensitive to UV light.52 Further, the electric field-induced stress alters the nanofibre structure reducing the current response that recovers with exposure to humidity in the absence of an electric field.53 This property of the nanofibres was made use in designing a unique memory device to recall past humidity levels. Further, the persistent photoconductivity exhibited by the fibres has led to a neuromorphic device for emulating Ebbinghaus forgetting behavior.15 Given the remarkable humidity and UV sensitivity, the nanofibres are being exploited in the present study to mimic the aspect of working memory consolidation. Not only has it been quantified, but also the various factors affecting consolidation such as repeated exposure to information, environmental factors, fatigue, and habituation have been explored.
The supramolecular nanofibre is formed by the self-assembly of the charge transfer (CT) complex of the coronene tetracarboxylate (CS, donor) and dodecyl methyl viologen (DMV, acceptor) molecules. This amphiphilic CT complex self-assembles into micellar structures in water which further grow into nanofibres as shown in Fig. 1a. The UV visible absorption spectrum (Fig. 1a, right) shows absorption maxima at 324 and 357 nm with the broad peak arising from the ground state charge transfer interaction from the donor and acceptor molecules centered at 500 nm.51Fig. 1b shows the schematic of the experimental setup (details in the Experimental section). In brief, the supramolecular nanofibre device is kept inside the humidity chamber, connected to a source measure unit (SMU), and exposed to UV light through a quartz window (see schematic in Fig. 1b and optical images in Fig. S2, ESI†). FESEM image (Fig. 1c) of the device's active area shows the spread of the nanofibres across the Ti electrodes giving a mat-like appearance (see inset of Fig. 1c).
![]() | ||
Fig. 1 (a) Molecular structures of CS and DMV molecules and corresponding schematic of charge transfer (CT) complex, self-assemble as a micellar structure and further into a nanofibre assembly. UV-Vis absorbance spectrum of the nanofibre film is shown on the right. (b) Schematic of the experimental setup. The device is kept in the humidity chamber and is exposed to UV light (365 nm) through a quartz window. A Schematic of the device is also shown with nanofibres spread across the Ti-interdigitated electrodes. (c) FESEM image showing a few thicker fibres across the gap over a mat of thinner nanofibers (inset). (d) Photoresponse of the device at different relative humidities (RH) for 50 light pulses of width (tw) = 500 ms and interval (ti) = 200 ms. The first and the second pulses are highlighted while marking their intensities as A1 and A2. Inset: Magnified photoresponse at 40% RH. (e) Paired pulse facilitation (PPF) index (brown curve) and the index of facilitation of the 50th pulse (green curve) at different RH [PPF index is calculated by the formula = (A2/A1) and the 50th pulse facilitation is calculated by (A50/A1)]. The current amplitudes, A1, A2…A50 – marked in Fig. 1d during optical exposures, are corrected relative to the dark current (A0) during quantification. The error bars are obtained by calculating the facilitation indices for five different measurements on the same device. |
The device functioning was validated by performing I–V sweeps (Fig. S2c, ESI†) which indicated a capacitive nature in line with an earlier study.59 Further, to study the photoresponse at different RHs, the device was exposed to 50 optical pulses (365 nm, 6.5 mW cm−2) of the pulse width (tw) 500 ms, and interval (ti) of 200 ms and the photoresponse was monitored with a read voltage of 1 V (Fig. 1d). Note that the same values of tw and ti have been used in all subsequent studies. Focusing on the photoresponse at 90% RH (top curve in Fig. 1d), with the exposure to the optical pulse, the current increased from ∼30 (A0) to 140 nA (A1) during the first pulse. The response for the second pulse (A2 ∼ 160 nA) is greater than the first pulse (see the two pulses highlighted in the top curve of Fig. 1d) exhibiting paired-pulse facilitation (PPF-2, a form of short-term synaptic plasticity) with the facilitation index, A2/A1, of ∼125%. Further, the photocurrent gradually increased with the subsequent pulses exhibiting habituation at around 30 pulses which typically refers to the photogeneration of charge carriers reaching a saturation (Fig. S3, ESI†). The decay beyond the post-optical exposure is the persistent photoconductivity (PPC) whose exponential nature is likened to the forgetting behavior.56 Similar trends in photoresponse were obtained at other RH values as well but the observed photocurrent decreased with decreasing RH (see 80 to 50% RH in Fig. 1d). As RH decreased to 40%, the photoresponse was nearly two orders poorer (inset of Fig. 1d) compared to that at 90%. The distortion in the nanofibre structure at low RH and enhanced conduction due to tighter molecular assembly at high RH are contributing to the observed photoresponses.51 The photoresponse variation is analogous to the excitatory post-synaptic current (EPSC) and is indeed an indication of the variation in plasticity of the device with RH.
The variation in the response (EPSC) with RH prompted us to quantify the facilitation index. Accordingly, the facilitation index derived from the first two pulses (PPF) increased with the decrease in RH to ∼170% at 40% RH (Fig. 1e – brown curve). A similar trend was observed with quantifying facilitation derived from the 50th pulse (PPF-50) with variation from ∼200% at 90% to ∼700% at 40% RH. The significant increment in A2 for PPF-2 (or A50 for PPF-50) compared to A1 resulting in increased facilitation index at low RH is due to decreased carrier mobility and slower recombination causing a lesser photocurrent decay during ti (no UV exposure during ti – see Fig. S4, ESI†). Further, the device-to-device variability was studied which showed similar photoresponse and PPF index (Fig. S5, ESI†). The energy consumption, another essential aspect to consider during the emulation of the synaptic functionalities is ∼0.09 nJ (per pulse) and 0.07 pJ (per synaptic junction) at 40% RH and increases to ∼53.65 nJ (per pulse) and 42.08 pJ (per synaptic junction) at 90% RH (see Note S1 and Fig. S6 for details, ESI†).
Synaptic plasticity can further be defined by the decay post-learning which includes several processes within itself. The learnt information from the input stimuli resorts to the natural way of forgetting (decay) once the input feeding becomes sparse. Alongside, the information still retained would be firming up in the working memory through the process of consolidation. The latter becomes a lot more effective with rehearsals (Fig. 2a). In the context of cognitive science, consolidation of learnt information is simply optimization of the memory; eliminating unwanted cues and storing only the relevant ones.5,6 The process of learning, forgetting, and consolidation can further be explained with a graphical representation as shown in Fig. 2a (right). The learning and forgetting curve (in Fig. 2a – right) shows that the decay after the acquisition can be modeled with a double exponential function; a function commonly used to define forgetting.17–19 This function has two decay rate constants τ1 and τ2 corresponding to fast and slow forgetting, respectively. The initial fast decay due to band-to-band recombination and the slow decay in the latter due to the release and recombination of trapped charges and ions account for the two-time constants.56 However, during this decay, the process of consolidation also occurs and constantly competes with forgetting. When consolidation dominates forgetting, the decay will be much slower.4 The quantification of consolidation is done by defining a consolidation parameter τ2 − τ1 which is explained further.
![]() | ||
Fig. 2 (a) Working memory consolidation process: the input stimuli from the sensory memory are consolidated in the working memory which gets strengthened with rehearsals in conjunction with forgetting. Right curve: the learning (acquisition) when stopped leads to forgetting and consolidation. The decay curve can be modeled with a double exponential function with decay rate constants τ1 and τ2 representing fast and slow forgetting, respectively. The consolidation parameter, τ2 − τ1, quantifies the process of consolidation. (b) The photocurrent decay post-optical exposure of 50 pulses at different RH. Red dotted lines are the curves for the decay fitted with the double-exponential equation shown in the inset. τ1, τ2, and τ2 − τ1 values for different RH are shown in Table 1. (c) The variation of τ2 − τ1 (consolidation parameter) with the increase in RH. Inset: Schematic of the synapse during acquisition (left) and consolidation (right). The marked orange and red ovals in the synapse indicate the efficacy of synapse functioning. During acquisition, the pre-synapse sends signals to the post-synapse (orange oval) while the consolidation is prompted by the strengthening of the connection between the pre-and post-synapses (red ovals). |
Given the resemblance of the current decay post-optical exposure at varied RH to the decay in Fig. 2a, the data are fitted with the double exponential function (Fig. 2b, red dotted lines show the fitted curve with the function shown in the inset). The obtained τ1 and τ2 values (Fig. S7, ESI†) are reported in Table 1. At 40% RH, τ1 corresponding to fast forgetting is 5.38 s, and τ2 related to slow forgetting is 49.30 s (see Table 1) indicating the dominance of slow forgetting. However, as the RH increased, both τ1 and τ2 decreased and are 0.36 s and 6.11 s at 90% RH, respectively. The slow forgetting at 40% RH might be due to lesser learning (low photoresponse) whereas the extensive learning (high photoresponse) at high RH leads to fast forgetting. Alongside forgetting, consolidation of the acquired information also occurs post-learning as reported cognitively60 and through synapse strengthening as seen biologically61 (inset of Fig. 2c). From the obtained values of τ1 and τ2, the term, τ2 − τ1 is defined (Table 1) and is called the consolidation parameter (a detailed explanation is given in Note S2, ESI†). Notably, the consolidation parameter decreases with the increase in RH (Fig. 2c and Table 1). The larger τ2 − τ1 at 40% RH indicates effective consolidation as the transition between the fast and slow forgetting is well-separated and encounters minimal interferences. However, the smaller τ2 − τ1 indicates poor consolidation due to the overlapping of the fast and the slow forgetting resulting in increased interferences. Thereby, an important concept of consolidation is quantified at varied RH which is crucial to understanding the entire learning and forgetting process. The consolidation process is also affected by the number of rehearsals and the environment which is explored in detail further.62,63
RH (%) | τ 1 | τ 2 | τ 2 − τ1 |
---|---|---|---|
40 | 5.38 | 49.30 | 43.92 |
50 | 1.89 | 14.93 | 13.04 |
60 | 0.58 | 9.79 | 9.21 |
70 | 0.36 | 8.90 | 8.54 |
80 | 1.22 | 9.56 | 8.34 |
90 | 0.36 | 6.11 | 5.75 |
Learning–forgetting–relearning (schematically shown in the inset of Fig. 3a), a well-known synaptic functionality has been emulated in the device at RH values of 40 and 80%. Fig. 3a shows the data recorded at 40% RH. Initially, 30 pulses were applied as the first learning where the device reached a certain current value (2.8 nA, normalized for simplicity), and this value stands for the maximum learning imparted in the session. At the end of the 30th pulse, the photoresponse was allowed to decay for approximately 2 s, down to ∼80% matching the current value obtained with the 10th pulse. In other words, this decay corresponds to the forgetting of the training imparted during the last 20 pulses (see dotted horizontal lines in Fig. 3a). Such a cycle of learning–forgetting may be considered as a session as marked on top of Fig. 3a and b. During the next session, the device required only 10 pulses to relearn the information as opposed to 20 pulses during the first learning (see learning 1 and relearning 1 in Fig. 3a). Beknown is that relearning is faster than learning akin to humans64 which is observed here as well. In the following sessions (3 and 4), again only 10 and 9 pulses, respectively were required for relearning (see Fig. 3c). This went on for ∼320 s (21 sessions). Later, an even larger number of pulses (more than that required during the first learning) were also not sufficient to achieve the requisite. A similar behavior was observed at 80% RH (Fig. 3b) where relearning happened with 22 pulses as opposed to the 30 required for the first learning. Subsequently, relearning took place with a lesser number of pulses up to 4 subsequent sessions (see Fig. 3d) beyond which there was no advantage gained with respect to the number of pulses (raw data in Fig. S8, ESI†).
The 21 learning sessions at 40% RH as opposed to 4 at 80% RH reflected during the decay as well. Though decay (forgetting) was allowed for ∼2–3 s at both the RHs, almost 50% decay is observed at 80% RH but only ∼20% at 40% RH (Fig. 3a and b). The slow recombination at low RH results in the contribution of trapped carriers too during relearning (thus, numerous effective learning sessions) which is difficult at high RH due to increased carrier mobility and fast recombination.52 The consolidation parameter (τ2 − τ1) at 40% RH, increased from ∼2.2 s (consolidation) to ∼3.5 s after the first relearning and gradually raised to ∼5 s during the subsequent relearning (Fig. 3e). The low photocurrents (normalized with respect to a peak response of ∼2.8 nA) account for lesser learning which makes the consolidation possible during the initial learning itself. The subsequent learnings are only incremental to the achieved consolidation. Contrariwise, massive learning at high RH (normalized with respect to ∼65.4 nA) makes it difficult to consolidate information during the first relearning itself (Fig. 3f) and thus shows a gradual increase in the consolidation parameter from ∼0.7 s to 1.8 s with relearning. Eventually, the device experiences fatigue due to continuous optical exposure, and the desorption of the water molecules from the nanofibre surface.65,66 This decreases the number of charge carriers and thus, the photoresponse resulting in the requirement of a large number of pulses for relearning (see relearning 22 and relearning 5 in Fig. 3a and b, respectively). Similar learning–forgetting–relearning curves are obtained at 40% and 80% RH with first learning occurring with 20 pulses (Fig. S9 and Note S3, ESI†).
The effect of the environment on consolidation is studied by considering a less hydrated environment which declines a person's learning ability faster as opposed to a well-hydrated environment50 (see Fig. 4a and b). Considering 40% and 80% RH to be a dehydrated and hydrated environment, respectively, the learning ability is emulated. Initially, 50 optical pulses were exposed on the device at 40% RH (normalized with respect to ∼1.6 nA, Fig. 4c). The photoresponse was allowed to completely decay and return to the base current post-exposure, after which another set of optical pulses was applied. It was observed that the current response decreased as compared to the first exposure. Further, after complete photoresponse decay, a time gap of a minute (these time gaps are deliberately given to study the influence of RH with reading voltage off) was given before the next optical exposure which decreased the photocurrent further. A 10-minute gap decreased the photocurrent considerably and a 30-minute gap brought it to significantly lower values. However, it should be noted that this fatigue behavior exhibited at 40% RH can be recovered by exposing the device to a high RH for a while as shown in Fig. S10 (ESI†). Contrastingly, the same time gaps at 80% RH (normalized with respect to ∼151 nA, Fig. 4d) caused a much lesser decrement than at 40% RH. Fig. 4e shows the quantitative decrement in the photocurrent with time which signifies a ∼80% decrement at 40% RH but a ∼20% decrement at 80% RH. The photoresponse and their variation at other RHs (Fig. S11, ESI†) also indicated ∼80% decrement with lower RHs (40, 50, and 60%) and almost 25% at higher RHs (70, 80, and 90% RH) (Fig. S12a, ESI†).
The consolidation parameter τ2 − τ1 as shown in Fig. 4f is ∼40 s which increased to ∼50 s in the consecutive learning at 40% RH. However, the drastic reduction to ∼10 s with the time elapsed indicates poor consolidation similar to that in a less hydrated environment. On the contrary, τ2 − τ1 almost remains around 10 s with a slight decrement exhibiting the same amount of consolidation throughout at high RH (Fig. 4f) alike a well-hydrated environment.50 Similar consolidation parameters (Fig. S12b, ESI†) were observed at other higher RHs as well. The desorption of water molecules from the surface of the nanofibre with optical exposure65,66 and the electric field-induced stress in the molecular orientation53 is more pronounced at low RH resulting in faster fatigue. However, at high RH the recovery from induced stress is faster in the absence of an electric field leading to slower fatigue.53 The systematic increase in the optical pulses from 1 to 60 contrary to the constant application of 50 pulses induced fatigue to a lesser extent supporting the above reasoning (a detailed explanation is given in Note S4 and Fig. S13, S14, ESI†).
Though forgetting and consolidation depend on the path of learning and vice versa, learning alone can have different trajectories that might not influence forgetting and consolidation after a certain stage. Fig. 5a shows the schematic of different types of learning with an example of a person being in very noisy surroundings. Initially, the person will be sensitive to the noises (potentiation) but later gets habituated to it. Further, the response to the surrounding cues decreases (depression) and when moved out of that surrounding, it will be eventually forgotten (spontaneous forgetting). The same has been explored at different RHs. Fig. 5b shows the learning at 40% RH by exposing the device to 200 optical pulses (normalized with respect to ∼1.8 nA, tw and ti are the same as defined earlier). For the initial 45 pulses, the device shows a significant photocurrent increment depicting facilitation or potentiation. From 45 to ∼75 pulses, photocurrent reaches saturation emulating habituation behavior. After the 75th pulse, up to 200 pulses, the current response decreases showing depression behavior. Post-optical exposure, the photocurrent gradually decreases portraying spontaneous forgetting behavior. A similar learning is observed at 70% RH (normalized with respect to ∼61.4 nA, Fig. 5c) and other RHs too (Fig. S15 and S16a, ESI†). The exposure of the device to optical pulses beyond saturation exhibits depression as well because of fatigue induced by continuous optical exposure. Further, the non-linearity factors for potentiation and depression behaviors at 40% RH (Fig. 5d, the equations used67 for fitting are explained in Note S5, ESI†) are ∼4.2 and −0.07, respectively and such variations are known in the literature.68–70 The consolidation parameter τ2 − τ1 values (Fig. 5e and Fig. S16b, ESI†) of spontaneous forgetting are similar to that in Fig. 2c. This indicates that excessive learning will not lead to any significant change in consolidation. Learning without sufficient breaks in between after reaching saturation does not help in effective consolidation as well (Fig. S17 and Note S6, ESI†).
The photoresponse decay pattern observed in this study has been previously investigated in various active materials, typically described by a double exponential function.17–19 Here, the initial faster decay is taken to represent the clearing up of excessive information while the latter is due to spontaneous and gradual forgetting. Much of the literature deals with the exponents of the two different decay trends. Hitherto, the transition between the two exponential behaviors had not been given much attention. Through this work, we focused on the transition region and related it to the aspect of working memory consolidation. While working memory consolidation might be influenced by several real-life parameters,71 in the present setup, the influence of humidity is taken as a token example to examine its effects. Indeed, with humidity as a primary control, we explored the variation of the consolidation parameter in relation to behaviors such as learning–relearning, fatigue, and habituation. Beyond humidity, the consolidation parameter can also be tuned by varying the CS–DMV concentration which influences the nanofiber aspect ratio, thereby affecting both consolidation behavior and decay dynamics. Additionally, the dielectrophoretic alignment of the nanofibres across electrodes further modulates conductivity, directly impacting photoresponse decay and overall learning efficiency.72 Future studies may focus on these aspects.
Footnote |
† Electronic supplementary information (ESI) available. See DOI: https://doi.org/10.1039/d5nh00034c |
This journal is © The Royal Society of Chemistry 2025 |