4.1. Optimal Electrolytical Polymerization
Figure 3 shows the EIS results for the tongues with Type A and B sensors. To clarify the optimal morphology of the roll-type Meissner corpuscles, we evaluated the changes in absolute reactance and the relationship between reactance and resistance, in accordance with the classification elucidated in our previous study [
25], in which the firing rate was categorized as slow adaptation (SA: SA I and SA II), fast adaptation (FA: FA I and FA II), or other type (OT) in response to the applied stimuli (
Figure 4).
Figure 4 summarizes the classification corresponding to the EEC behavior and changes in sensor voltage compared to the results described in [
25]. The EEC formulated the electrical double layer (EDL) in the HF rubber as shown in the Figure. It was possible to evaluate this using the Nyquist diagram for EIS. However, the diagram cannot be applied to the HF rubber due to the following factors. As presented in our explanation of the behavior of the ions and particles in the HF rubber, the EDL is not uniformly established with an almost constant distance between the ions in the HF rubber. The outer-sphere electron transfer reaction (OSETR), which is well known as the electron transfer theory in the macromolecular complexes field of the inorganic metal complex, induces a change in the ionic radius that creates the non-uniform distribution of the EDL in the HF rubber. The Nyquist diagram of the HF rubber cannot provide clear profiles. Therefore, the results connote that the HF rubber should belong to the impurity semiconductor, but not the intrinsic semiconductor. And then, as was the case for the HF rubber, we have proposed the classification of the EIS results corresponding to the EEC, as shown in
Figure 4.
As presented in another study [
15], the optimum ingredients of the roll-type Meissner corpuscles exclude Ni, since the inclusion of Ni promotes magnetic cluster formation, as well as TiO
2, which acts as an electron-transfer medium; under these conditions, Type A exhibits FA behavior. On the other hand, as shown in
Figure 3, Type B exhibits OT behavior. In the case of Type B, the inductance
Lp and resistance
Rp are greater, but the capacitance
Cp is weaker than that of Type A.
Figure 5 compares the rate of the change in sensor voltage when the bare roll-type Meissner corpuscles, which were not embedded in U-rubber, were dipped in liquid as shown in
Figure 2b. All taste stimuli showed that Type B was more sensitive, with a larger enhanced change rate than Type A.
Figure 6 shows the
C-V profiles obtained with the potentiostat and indicates that Type B exhibits a larger overall loop area than Type A.
Based on the results provided (
Figure 3,
Figure 5 and
Figure 6), Type B demonstrates higher sensitivity to gustatory stimuli and is therefore considered the more optimal configuration. Consequently, as shown in
Figure 7a, the sensor exhibiting OT and SA characteristics, with a larger
C-V loop area, is optimal for gustation compared with that exhibiting FA behavior, which shows a linear
C-V profile. This phenomenon arises as a result of the behavior of anionic and cationic ions within the HF rubber, as shown in
Figure 7b.
Figure 7 is summarized based on the elucidated results in [
25,
26].
The molecules of HF rubber and water, along with Fe
3O
4 and Fe particles functioning as dopant D and acceptor A, respectively (
Figure 7b), are ionized as D
+ (cationic) and A
− (anionic). A
− tends to be desorbed by holes, whereas D
+ remains relatively immobile, thereby generating an intrinsic built-in voltage. The holes, electrons, and A
− species that migrate in association with the electronic charge flow are mobile, thereby forming a built-in current. As a result, the HF rubber exhibits piezoresistive behavior. The holes approach negatively aggregated regions formed by A
− (desorbed by holes) or, conversely, A
− species (absorbed by electrons) migrate toward positively aggregated regions of D
+, thereby forming EDL, as illustrated in
Figure 7a. A Faradaic reaction occurs at the EDL, and the resulting
C-V or
I–V profiles exhibit a linear relationship, corresponding to the behavior of an electrical double-layer capacitor (EDLC). When a redox process arises between the static and interfacial D
+ and A
− species within the EDL, the
C-V or
I–V profiles become nonlinear, indicating the formation of a pseudocapacitor (PC): the redox regions are between D
+ and electrons, and between A
− and holes at the circumference of the depletion layer, as shown in
Figure 7. The response time
t depends on the dynamics of D
+, A
−, and electrons and can be divided into three components, as expressed in Equation (4):
t1, associated with capacitance
C and resistance
R (approximately equal to 2.2
CR);
t2, corresponding to carrier diffusion in deeper regions of the depletion layer; and
t3, related to carrier motion within the inner depletion layer [
26]. Here, the voltage curve is changed by
t1,
t2, and
t3, as shown in
Figure 7c.
C arises from the EDLC within the depletion layer, and
R is determined by the mobility of D
+ and A
− across the layer. Thus, the interrelation among the
C-V or
I–V profiles, EEC, and sensor-voltage variations remain inadequately clarified in current gustation studies (ex. [
27]).
Incidentally, the disturbance indicated by region “a” in
Figure 3 as well as the perturbation in
Figure 6 is mainly attributed to several factors: (1) measurement error; (2) impurities introduced during sensor fabrication; (3) perturbation of HF rubber and water molecules and Fe
3O
4/Fe particles; and (4) tunneling of mobile electrons through nonconductive components such as rubber and surfactant whose phenomena has been theoretically clarified in our earlier work [
26,
28].
Regarding (1), the error is dependent on the measurer’s habit, the surroundings, and the error of the instruments. The humidity was controlled at 45–50% and the temperature 23–25 °C was acceptable and did not require any intervention. The instruments’ error was also minimal and was acceptable, as demonstrated by the accuracy which is described in an upcoming section of the paper.
Factors (2) and (3) can be considered to be involved in the complex behavior of the particles and ions in the HF rubber. Dopant D and acceptor A react via electrolytic polymerization, as shown in Equation (5). Subsequently, when the electric wires from the electrolytically polymerized HF rubber are short-circuited, one of the electrons can transfer between the anode and cathode of the sensor via the reaction shown in Equation (6); the anode of the sensor is replaced in the anode side of the electrode during the electrolytic polymerization, and is like that in the cathode as well. The reaction cannot be generated on the other electrons. These phenomena have already been elucidated in our previous research on MCF rubber using the electron transfer theory in the field of macromolecular complexes [
29]. The development of this theory as it pertains to HF rubber can be summarized as follows. Previously, MCF was the precursor to HF because HF has been developed with a simple production technique and reasonable ingredients. MCF rubber is characterized by the same quantitative and qualitative properties as HF rubber. Now, as shown in
Figure 7b, when it comes to the dispersion of the particles of Fe
3O
4 and Ni, and molecules of polyisoprene, the interaction between them is varied. When the distance between them is large, the interaction is comparatively weak so that the reaction of Equation (6) cannot occur easily. This is considered to be the OSETR, which means the structural coordination of molecules is not deformed and only the electrons are transferred by the tunneling effect. In this scenario, anionic polyisoprene is the bridging ligand. In contrast, there can be an inter-sphere electron transfer reaction (ISETR) when there is a comparatively strong interaction among them so that the reaction of Equation (6) can occur, which is generated on the basis of the interaction of the reactants and mediation of the bridging ligand of the anionic surfactant and the anionic polyisoprene. OSETR and ISETR are well-known subjects in the field of inorganic metal complexes. Thus, whether OSETR or ISETR occurs depends on the probability of the distance among the particles of Fe
3O
4 and Ni, and molecules of polyisoprene—OSETR occurs in response to large distances and ISETR for smaller ones. As numerous particles and molecules are dispersed in a solvent, many such OSETRs or ISETRs must be taken into account.
On the other hand, the tunneling effect regarding (4) must also be considered as a dominant factor affecting HF rubber: the complex behavior of the particles and ions in MCF rubber can be formulated by the tunnel theory, as presented in our previous studies [
26,
28], so that a disturbance is created. MCF rubber features the same properties as HF rubber. A theoretical analysis of the tunnel mechanism is presented in
Appendix A.1. Owing to the tunnel effect, the electron can abruptly pass through the nonconductive rubber and surfactant so that the electric current changes in a jumping formulation; this phenomena was confirmed by the experiment, as shown in
Appendix A.2. The jumping changes also affect the parameters of EIS at a typical frequency as shown in part “a” in
Figure 3. And the typical frequency exists at a comparatively low frequency range. The typical frequency is presumed to be due to the kinds of ingredients and concentrations of the HF rubber, the electric conditions of the electrolytic polymerization, etc., which create the natural frequency of the vibration behavior of the particles and ions of HF rubber. However, this mechanism may be in need of further investigation.
Next, we investigate the repeatability of the experimental results and how this contributes to the accuracy. In order to resolve the technical issues associated with measuring EIS, the LCR meter used had the instrument functions to reduce both the floating admittance and the residual impedance in the measuring cable not only by incorporating all correction values at frequency range but by attaching the test fixture between the device under test (DCT) and the LCR meter. The present DCT corresponds to the HF rubber sensor. These results improve the reliability so that the measurement accuracy will be enhanced. Here, the test fixture to which the current accessory is added has the purpose of measuring just the targeted resistance by reducing the used lead wire’s resistance and the contact resistance. It is currently structured using the four-terminal method, in contrast with the two-terminal method. As for the consequent minimal residual impedance of the used LCR meter, for example, the residual resistance at the short circuit is less than 5 mΩ at 100 Hz, and the floating capacitance between the electrodes is less than 2 pF at 5 Mz.
On the other hand, regarding C-V profile, the used potenstiostat had the instrument functions to enable the discrimination of the counter electrode and the working electrode by using the three-electrode structure. The potentiostat characterized three features. It controlled the potential of the working electrode and the reference electrode and measured the electric current passing through the working electrode without passing the electric current to the reference electrode. These features contrast with the two-electrode structure, which cannot easily discriminate between the counter electrode and the working electrode. Therefore, our used potentiostat can provide accurate results.
Consequently, the disturbance that appeared in the results for EIS and the C-V profile was predominantly due to the perturbation of the molecules, particles, ions, and electrons in the HF rubber.
The above-mentioned results show that the optimal electrolytic polymerization for gustation is Type B rather than Type A, and the previous findings demonstrate that Type A is optimal for haptic sensation [
15]. This suggests that the cationic reaction at both electric wires on the anode is suitable for tactile sensing, whereas both cationic and anionic reactions, occurring at the anode and cathode, respectively, are suitable for gustation. The former depends on the changes in sensor voltage induced by the iontronic behavior resulting from the rubber’s deformation. The latter depends on the iontronic behavior induced by both types of ionic reactions when the rubber comes into contact with the ionic liquids present in foods and beverages. Therefore, we adopted Type B in the variegated gustatory experiments described in the following sections.
4.2. Roughness Without Liquid
Gustatory sensitivity to various foods and beverages must be classified in response to several conditions: 1. the surface roughness and softness of the sheared object; 2. shearing conditions such as pressing normal force and sweeping velocity; and 3. the coexistence of liquid and solid phases, as delineated in
Figure 8. Therefore, we conducted experiments according to these classified conditions.
First, the tongue, as shown in
Figure 2a, is sheared on sandpaper as shown in
Figure 2c, without any liquid, under the experimental conditions of pressing normal force (
Figure 9a), sweeping velocity (
Figure 9b), and sandpaper surface roughness (
Figure 9c), with a fixed 40° angle between the tongue and the shear surface. The surface roughness was evaluated using the arithmetic average height
Ra, root mean square height
Rq, and maximum-to-minimum height difference
Ry as shown in Equation (7).
L is the reference length, measured by a surface roughness-measuring device (SJ-400, Mitutoyo, Co., Ltd., Kawasaki, Japan). The sensor voltage was also evaluated using the same
Ra,
Rq, and
Ry values, denoted as
Ra,E,
Rq,E, and
Ry,E.
At the intermediate normal-stress range,
Ra,E,
Rq,E, and
Ry,E become smaller, as shown in
Figure 9a. This may be because Type B exhibits a natural frequency owing to its spring-like structure. On the other hand, the larger the sweeping velocity, the larger
Ra,E,
Rq,E, and
Ry,E gradually become, as shown in
Figure 9b. It is supposed that the Type B spring-like structure deforms and tilts in the direction of motion. Moreover,
Ra,E,
Rq,E, and
Ry,E increase exponentially at lower
Ra,
Rq, and
Ry values, then reach saturation at higher roughness levels. This may be because the surface roughness approaches the characteristic dimension of an individual coil segment.
4.3. Synergy of Shearing and Tasting
Secondly, the synergistic sensitivity of the surface roughness and the liquid corresponding to foods representing the five basic tastes is shown in
Figure 10, where the tongue shears sandpaper (#40;
Ra = 37.07 μm,
Rq = 41.8 μm,
Ry = 190 μm) in liquids embodying the five tastes (
Figure 2d) under a pressing force of 1.884 N, shear velocity of 5 mm/s, with a stable 40° angle between the tongue and the shear surface. Because the sensor voltage initially includes a built-in potential, its change represents sensitivity; therefore, the ratio of the voltage change to the initial voltage is shown in the figure. The change rate differs depending on the taste, as shown in
Figure 10a,b. Similar results were obtained for the soft-sheared Q-rubber object shown in
Figure 10c,d. These results suggest that the synergistic changes in sensor voltage for different tastes are related to the hardness of the flavored object. We may interpret this behavior using the hydrophilic paradigm of the Hofmeister effect. The Hofmeister effect describes the relationship between tactile and taste sensing in the human tongue [
30,
31]. The Hofmeister effect indicates that tactile hardness perceived by the tongue correlates with gustatory sensitivity to hydrophilic liquids. We expanded this paradigm using ORP and pH rather than the Hofmeister series because each liquid contained diverse anions and cations, making it difficult to distinguish which kosmotropes or chaotropes affected the hydrophilic response.
We present detailed results for
Ra,E,
Rq,E, and
Ry,E in
Figure 10e. The gustatory sensitivity decreases in the order of saltiness > sweetness > sourness or umami > bitterness. The sensor voltage for sweetness and sourness is larger than that for umami and bitterness. The results can be interpreted as follows: From the relationship shown in
Figure 10e for
Ra,E,
Rq,E, and
Ry,E, and in
Figure 10f,g for ORP and pH, the ORP for sweetness and sourness is higher than that for umami and bitterness, and the pH for umami and bitterness is higher than that for sweetness and sourness. A larger ORP indicates greater oxidizing ability when the oxidation [Ox] level exceeds the reduction level [Red], as expressed in Equation (8). Then, the cationic ions are combined with the anionic polarity of H
2O via hydrogen bonding, making the liquid sufficiently kosmotropic to enhance tactile hardness sensitivity. Here, “kosmotropic” refers to the circumstances created by the substance, such as the presence of ions which stabilize the configuration among the molecules involved in aqueous system through interactions such as hydrogen bonds. On the other hand, the closer the pH is to 7, the larger the amount of cationic hydrogen [H
+], as expressed in Equation (8). Consequently, [H
+] combines with the anionic polarity of H
2O through hydrogen bonding, giving the liquid kosmotropic properties and sensitivity to hardness. In contrast, chaotropes lead to sensitivity to tactile softness. Therefore, sweetness and sourness are harder than umami and bitterness, so that the
Ra,E,
Rq,E, and
Ry,E for sweetness and sourness are greater than those for umami and bitterness.
The above estimation is derived from the ORP and pH of the liquids rather than from the Hofmeister series of the liquids. Although further investigation is needed, the potential to enhance the hydrophilic state can be inferred from the ORP and pH values, and this is supported by the hydrophilic paradigm of the Hofmeister effect. Regarding saltiness, other effects may be involved and should be investigated further.
4.4. Synergy of Pressing and Tasting
As another example of synergistic sensitivity, an instance in which an object touches liquid to represent contact with flavored foods is shown in
Figure 11a. The tongue presses Q-rubber in liquids with five different tastes, as shown in
Figure 2b. For clarity,
Figure 11a reports just one taste; the others demonstrate the same qualitative tendency. The detailed change rate in response to the first application of force in
Figure 11a is shown in
Figure 11b. Further, following on from
Figure 11b, the enhancement of the voltage (namely, the voltage change) and the time taken to reach the saturation point of the sensor voltage are shown in
Figure 11c. In the cases of sweetness and sourness, these values are larger than those recorded for bitterness. Thus, sweet and sour tastes are presumed to be relevant to hydrophilicity, as shown in
Figure 10. However, other tastes have different tendencies. Therefore, based on the impedance measured by EIS, as shown in
Figure 12a, we investigated the relationship between the EIS results and ORP or pH, as shown in
Figure 12b,c, which present the parameters of
Rp,
Cp, and
Lp at low (9.9 Hz) and high (10,040 Hz) frequencies. These parameters, which are changed by compression, differ according to the kind of taste involved. For bitter, umami, and salty tastes,
Rp and
Lp decrease under compression, but
Cp increases. In contrast, in the cases of sourness and sweetness, the changes under compression are very small. On the other hand, the
Rp and
Lp for the sour and sweet tastes are smaller than those of the other tastes.
These parameters can be compared to
R2,1,
C2,1, and
L2 in PC, as shown in
Figure 7a, because Type B provides OT in
Figure 4. From the comparison, we infer that decreasing
Rp and
Lp, along with increasing
Cp, indicates the following: the sensor voltage initially shows a rapid response (which resembles the initial rapid response of FA in
Figure 4), but a sustained slow response (which resembles the ultimately long-lasting rough response of SA in
Figure 4) is sufficient to correspond to the delayed nature of gustatory sensation. By taking both this inference and the foregoing experimental data into account, we can obtain the typical result as follows.
The enhancement of the voltage and the elapsed time until the saturation of the sensor voltage in the tastes of sourness and sweetness are larger than the corresponding values for bitterness, as shown in
Figure 11c. In addition, under compression, the sour and sweet samples exhibit greater voltage enhancement and longer saturation times.