Abstract
Purpose: Tactile displays convey various aspects of touch through mechanical or electrical stimuli. Recent research focuses on combining these two types of stimulation (hybrid stimuli) to achieve naturalness, comfort, and reduction in the threshold, only by experiment. However, there are no computational models to study the Pacinian corpuscle’s behavior under hybrid-stimuli.
Method: We developed a novel hybrid-stimuli Pacinian corpuscle model and characterized its spike-rate and threshold responses. Our model comprises biomechanical and electrical components, both of which are excited simultaneously by hybrid stimuli. We chose stimuli shape as either trapezoidal or sinusoidal, with a frequency from 5 Hz to 1600 Hz, both electrical and mechanical. We characterized the model by first considering the electrical current as an actual stimulus and mechanical vibration as a sub-threshold (magnitude less than the threshold required to produce one impulse-per-cycle response), and then the vice versa.
Results: The spike-rate characteristics exhibit a well-known phase-locking phenomenon. However, the plateaus shift toward the left as the sub-threshold stimulus amplitude increases. Furthermore, the threshold versus frequency curve shifts down. Finally, we observed a monotonic decrease in the threshold of the stimulus as the amplitude of the sub-threshold stimulus increases.
Conclusion: The shifts shown in both spike-rate and threshold characteristics indicate a significant reduction in the actual stimulus threshold. The hybrid-stimuli Pacinian corpuscle model developed and characterized in this study can be useful in improving the design of tactile displays.
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References
Alvarez-Buylla R, De Arellano JR. 1952. Local responses in pacinian corpuscles. American Journal of Physiology-Legacy Content. 172(1):237–244.
Bell J, Bolanowski S, Holmes MH. 1994. The structure and function of pacinian corpuscles: a review. Progress in neurobiology. 42(1):79–128.
Bell J, Holmes M. 1992. Model of the dynamics of receptor potential in a mechanoreceptor. Mathematical biosciences. 110(2):139–174.
Bell J, Holmes MH. 1994. A note on modeling mechano-chemical transduction with an application to a skin receptor. Journal of mathematical biology. 32(3):275–285.
Bensmaıa S. 2002. A transduction model of the meissner corpuscle. Mathematical biosciences. 176(2):203–217.
Biswas A, Manivannan M, Srinivasan MA. 2013. A biomechanical model of pacinian corpuscle & skin. In: In 2013 Biomedical Sciences and Engineering Conference (BSEC). IEEE. p. 1–4.
Biswas A, Manivannan M, Srinivasan MA. 2015. Multiscale layered biomechanical model of the pacinian corpuscle. IEEE Transactions on Haptics. 8(1):31–42.
Biswas A, Manivannan M, Srinivasan MA. 2015. Vibrotactile sensitivity threshold: Nonlinear stochastic mechanotransduction model of the pacinian corpuscle. IEEE transactions on haptics. 8(1):102–113.
Bolanowski SJ, Gescheider GA, Verrillo RT. 1994. Hairy skin: psychophysical channels and their physiological substrates. Somatosensory & motor research. 11(3):279–290.
Bolanowski Jr S, Zwislocki J. 1984. Intensity and frequency characteristics of pacinian corpuscles. ii. receptor potentials. Journal of neurophysiology. 51(4):793–811.
Bolanowski Jr S, Zwislocki JJ. 1984. Intensity and frequency characteristics of pacinian corpuscles. i. action potentials. Journal of neurophysiology. 51(4):812–830.
Bolanowski Jr SJ, Gescheider GA, Verrillo RT, Checkosky CM. 1988. Four channels mediate the mechanical aspects of touch. The Journal of the Acoustical society of America. 84(5):1680–1694.
Brisben A, Hsiao S, Johnson K. 1999. Detection of vibration transmitted through an object grasped in the hand. Journal of neurophysiology. 81(4):1548–1558.
Cho H, Shin J, Shin CY, Lee SY, Oh U. 2002. Mechanosensitive ion channels in cultured sensory neurons of neonatal rats. Journal of Neuroscience. 22(4):1238–1247.
Drew LJ, Rugiero F, Wood JN. 2007. Touch. In: Current topics in membranes. vol. 59. Elsevier; p. 425–465.
Freeman AW, Johnson KO. 1982. Cutaneous mechanoreceptors in macaque monkey: temporal discharge patterns evoked by vibration, and a receptor model. The Journal of physiology. 323(1):21–41.
Grandori F, Pedotti A. 1980. Theoretical analysis of mechano-to-neural transduction in pacinian corpuscle. IEEE Transactions on Biomedical Engineering. BME-27(10):559–565.
Grandori F, Pedotti A. 1982. A mathematical model of the pacinian corpuscle. Biological cybernetics. 46(1):7–16.
Gray JAB, Malcolm J. 1950. The initiation of nerve impulses by mesenteric pacinian corpuscles. Proceedings of the Royal Society of London Series B-Biological Sciences. 137(886):96–114.
Hamill OP, Martinac B. 2001. Molecular basis of mechanotransduction in living cells. Physio- logical reviews. 81(2):685–740.
Hunt C, Takeuchi A. 1962. Responses of the nerve terminal of the pacinian corpuscle. The Journal of physiology. 160(1):1.
Johnson KO. 2001. The roles and functions of cutaneous mechanoreceptors. Current opinion in neurobiology. 11(4):455–461.
Kaczmarek KA, Webster JG, Bach-y Rita P, Tompkins WJ. 1991. Electrotactile and vibrotactile displays for sensory substitution systems. IEEE transactions on biomedical engineering. 38(1):1–16.
Kajimoto H. 2016. Electro-tactile display: principle and hardware. In: Pervasive haptics. Springer; p. 79–96.
Kajimoto H, Kawakami N, Maeda T, Tachi S. 1999. Tactile feeling display using functional electrical stimulation. In: Proc. 1999 ICAT. p. 133.
Kajimoto H, Kawakami N, Maeda T, Tachi S. 2004. Electro-tactile display with tactile primary color approach. Graduate School of Information and Technology, The University of Tokyo.
Kandel E, Schwartz J, Jessell T. 1991. Principles of neural science. Elsevier. Prentice-Hall International edit.
Kandel E, Schwartz J, Jessell T. 1991. Principles of neural science. Elsevier. Prentice-Hall International edit.
Kuroki S, Kajimoto H, Nii H, Kawakami N, Tachi S. 2007. Proposal for tactile sense presentation that combines electrical and mechanical stimulus. In: Second Joint EuroHaptics Conference and Symposium on Haptic Interfaces for Virtual Environment and Teleoperator Systems (WHC’07). IEEE. p. 121–126.
LaMotte RH, Srinivasan MA. 1991. Surface microgeometry: Tactile perception and neural encoding. In: Information processing in the somatosensory system. Springer; p. 49–58.
Loewenstein W, Skalak R. 1966. Mechanical transmission in a pacinian corpuscle. an analysis and a theory. The Journal of physiology. 182(2):346–378.
Loewenstein WR. 1959. The generation of electric activity in a nerve ending. Annals of the New York Academy of Sciences. 81(2):367–387.
Loewenstein WR, Altamirano-Orrego R. 1958. The refractory state of the generator and propagated potentials in a pacinian corpuscle. The Journal of general physiology. 41(4):805–824.
Mizuhara R, Takahashi A, Kajimoto H. 2019. Enhancement of subjective mechanical tactile intensity via electrical stimulation. In: Proceedings of the 10th Augmented Human Interna- tional Conference 2019. p. 1–5
Ozeki M, Sato M. 1964. Initiation of impulses at the non-myelinated nerve terminal in pacinian corpuscles. The Journal of physiology. 170(1):167.
Pawson L, Bolanowski SJ. 2002. Voltage-gated sodium channels are present on both the neural and capsular structures of pacinian corpuscles. Somatosensory & motor research. 19(3):231–237.
Quindlen JC, Stolarski HK, Johnson MD, Barocas VH. 2016. A multiphysics model of the pacinian corpuscle. Integrative Biology. 8(11):1111–1125.
Rahul Kumar R, Manivannan M. 2021. Spatial summation of electro-tactile displays at sub- threshold level (in press). In: International Conference on Human Interaction and Emerging Technologies. Springer. p. 00–00.
Saal HP, Delhaye BP, Rayhaun BC, Bensmaia SJ. 2017. Simulating tactile signals from the whole hand with millisecond precision. Proceedings of the National Academy of Sciences. 114(28):E5693–E5702.
Sato M. 1961. Response of pacinian corpuscles to sinusoidal vibration. The Journal of physiology. 159(3):391–409.
Skedung L, Arvidsson M, Chung JY, Stafford CM, Berglund B, Rutland MW. 2013. Feeling small: exploring the tactile perception limits. Scientific reports. 3:2617.
Summers IR, Pitts-Yushchenko S, Winlove CP. 2018. Structure of the pacinian corpuscle: Insights provided by improved mechanical modeling. IEEE Transactions on Haptics. 11(1):146–150.
Vasudevan MK, Sadanand V, Muniyandi M, Srinivasan MA. 2020a. Coding source localization through inter-spike delay: modeling a cluster of pacinian corpuscles using time-division multiplexing approach. Somatosensory & Motor Research. 37(2):63–73.
Vasudevan MK, Ray RK, Muniyandi M. 2020b. Computational model of a pacinian corpuscle for an electrical stimulus: Spike-rate and threshold characteristics. In: International Conference on Human Haptic Sensing and Touch Enabled Computer Applications. Springer. p. 203–213.
Verrillo RT. 1966. Vibrotactile sensitivity and the frequency response of the pacinian corpuscle. Psychonomic Science. 4(1):135–136.
Wagner CR, Lederman SJ, Howe RD. 2004. Design and performance of a tactile shape display using rc servomotors. Haptics-e. 3(4):1–6.
Wu G, Ekedahl R, Stark B, Carlstedt T, Nilsson B, Hallin RG. 1999. Clustering of pacinian corpuscle afferent fibres in the human median nerve. Experimental brain research. 126(3):399–409.
Yem V, Okazaki R, Kajimoto H. 2016. Fingar: combination of electrical and mechanical stimulation for high-fidelity tactile presentation. In: Acm siggraph 2016 emerging technologies. p. 1–2.
Acknowledgments
The authors would like to appreciate the suggestions given by the members of Haptics Lab for the improvement of this model.
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The authors report no conflicts of interest.
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Madhan Kumar, V., Sadanand, V., Manivannan, M. (2021). Computational Model of a Pacinian Corpuscle for Hybrid-Stimuli: Spike-Rate and Threshold Characteristics. In: Manocha, A.K., Jain, S., Singh, M., Paul, S. (eds) Computational Intelligence in Healthcare. Health Information Science. Springer, Cham. https://doi.org/10.1007/978-3-030-68723-6_21
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