A Simulation Study on Selective Stimulation of C-Fiber Nerves for Chronic Pain Relief

It has been reported that stimulating nociceptive unmyelinated C nerves (<inline-formula> <tex-math notation="LaTeX">$C$ </tex-math></inline-formula>) near the sarcolemma could induce the secretion of endogenous opioids that relieve chronic pain. However, a substantial concern remains: concomitant stimulation might cause acute pain to nociceptive myelinated <inline-formula> <tex-math notation="LaTeX">$\text{A}\delta $ </tex-math></inline-formula> nerves (<inline-formula> <tex-math notation="LaTeX">$A\delta$ </tex-math></inline-formula>), which generally have a lower activation threshold than the <inline-formula> <tex-math notation="LaTeX">$C$ </tex-math></inline-formula>. However, few studies have reported on <inline-formula> <tex-math notation="LaTeX">$C$ </tex-math></inline-formula> selectivity over <inline-formula> <tex-math notation="LaTeX">$A\delta $ </tex-math></inline-formula> (<inline-formula> <tex-math notation="LaTeX">$C$ </tex-math></inline-formula>-selectivity). In this study, the <inline-formula> <tex-math notation="LaTeX">$C$ </tex-math></inline-formula> and <inline-formula> <tex-math notation="LaTeX">$A\delta $ </tex-math></inline-formula> nerves were modeled using the Hodgkin-Huxley (HH) and McIntyre-Richardson-Grill (MRG) models, respectively. Two potential stimulation schemes, including bipolar square waves and burst modulated alternating current, together with a new stimulation scheme named inhibit-<inline-formula> <tex-math notation="LaTeX">$A\delta $ </tex-math></inline-formula> (i-<inline-formula> <tex-math notation="LaTeX">$A\delta$ </tex-math></inline-formula>) that inhibits the excitability of the <inline-formula> <tex-math notation="LaTeX">$A\delta $ </tex-math></inline-formula>, were systematically investigated. Their stimuli were given to the <inline-formula> <tex-math notation="LaTeX">$C$ </tex-math></inline-formula> and <inline-formula> <tex-math notation="LaTeX">$A\delta $ </tex-math></inline-formula> nerves through point electrodes located near the nerve fibers. Simulation results revealed that i-<inline-formula> <tex-math notation="LaTeX">$A\delta $ </tex-math></inline-formula> presented the highest <inline-formula> <tex-math notation="LaTeX">$C$ </tex-math></inline-formula>-selectivity, which provides a basis for non-invasive effective chronic-pain relief.

[1]  P J Watkins,et al.  The Value of the Neurometer in Assessing Diabetic Neuropathy by Measurement of the Current Perception Threshold , 1994, Diabetic medicine : a journal of the British Diabetic Association.

[2]  Kathleen E. Finn,et al.  A model of motor and sensory axon activation in the median nerve using surface electrical stimulation , 2018, Journal of Computational Neuroscience.

[3]  Doug Dean,et al.  Application of Phase Analysis of the Frankenhaeuser - Huxley Equations to Determine Threshold Stimulus Amplitudes , 1983, IEEE Transactions on Biomedical Engineering.

[4]  K. Sluka,et al.  Deep tissue afferents, but not cutaneous afferents, mediate transcutaneous electrical nerve stimulation-Induced antihyperalgesia. , 2005, The journal of pain : official journal of the American Pain Society.

[5]  Nerve excitation using an amplitude-modulated signal with kilohertz-frequency carrier and non-zero offset , 2016, Journal of NeuroEngineering and Rehabilitation.

[6]  M. MacIver,et al.  Structural and functional specialization of A delta and C fiber free nerve endings innervating rabbit corneal epithelium , 1993, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[7]  N. Thakor,et al.  Mechanism of anode break stimulation in the heart. , 1998, Biophysical journal.

[8]  K. B. Ruf,et al.  A study of the parameters of electrical stimulation of unmyelinated fibres in the pituitary stalk , 1969, The Journal of physiology.

[9]  L. Sorkin,et al.  Acute pain mechanisms. , 1999, The Surgical clinics of North America.

[10]  A. Dufour,et al.  On the selective activation of unmyelinated C-fibers using sinusoidal electrical stimulation: An ERP study , 2011, Clinical Neurophysiology.

[11]  Functional Implications from Changes in Volume and Periaxonal Space of C-fibers , 2012 .

[12]  A. Huxley,et al.  The action potential in the myelinated nerve fibre of Xenopus laevis as computed on the basis of voltage clamp data , 1964, The Journal of physiology.

[13]  Dominique M. Durand,et al.  MODELING OF MAMMALIAN MYELINATED NERVE FOR FUNCTIONAL NEUROMUSCULAR STIMULATION. , 1987 .

[14]  Frank Rattay,et al.  From Squid to Mammals with the HH Model through the Nav Channels’ Half-Activation-Voltage Parameter , 2015, PloS one.

[15]  B. Collett,et al.  Survey of chronic pain in Europe: Prevalence, impact on daily life, and treatment , 2006, European journal of pain.

[16]  C. Gabriel Compilation of the Dielectric Properties of Body Tissues at RF and Microwave Frequencies. , 1996 .

[17]  D J Weber,et al.  A computational model for estimating recruitment of primary afferent fibers by intraneural stimulation in the dorsal root ganglia , 2011, Journal of neural engineering.

[18]  S. Hattori [The prevalence of chronic pain in Japan]. , 2006, Nihon yakurigaku zasshi. Folia pharmacologica Japonica.

[19]  A. Vania Apkarian,et al.  Pain and the brain: Specificity and plasticity of the brain in clinical chronic pain , 2011, PAIN.

[20]  R. FitzHugh Thresholds and Plateaus in the Hodgkin-Huxley Nerve Equations , 1960, The Journal of general physiology.

[21]  K G Pearson,et al.  Predicted amplitude and form of action potentials recorded from unmyelinated nerve fibres. , 1971, Journal of theoretical biology.

[22]  Koji Inui,et al.  Cerebral responses following stimulation of unmyelinated C-fibers in humans: electro- and magneto-encephalographic study , 2003, Neuroscience Research.

[23]  W.L.C. Rutten,et al.  Sensitivity and selectivity of intraneural stimulation using a silicon electrode array , 1991, IEEE Transactions on Biomedical Engineering.

[24]  R. Kakigi,et al.  Preferential stimulation of Aδ fibers by intra-epidermal needle electrode in humans , 2002, Pain.

[25]  Warren M. Grill,et al.  Selective Activation Of Peripheral Nerve Fascicles: Use Of Field Steering Currents , 1991, Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society Volume 13: 1991.

[26]  J. Steyaert,et al.  A Genetically Encoded Biosensor Reveals Location Bias of Opioid Drug Action , 2018, Neuron.

[27]  C. McIntyre,et al.  Modeling the excitability of mammalian nerve fibers: influence of afterpotentials on the recovery cycle. , 2002, Journal of neurophysiology.

[28]  Karin Wårdell,et al.  Relationship between Neural Activation and Electric Field Distribution during Deep Brain Stimulation , 2015, IEEE Transactions on Biomedical Engineering.

[29]  C. Li,et al.  Excitability characteristics of the A- and C-fibers in a peripheral nerve , 1976, Experimental Neurology.

[30]  Niloy Bhadra,et al.  High‐frequency electrical conduction block of mammalian peripheral motor nerve , 2005, Muscle & nerve.

[31]  Alex R Ward,et al.  Russian electrical stimulation: the early experiments. , 2002, Physical therapy.

[32]  C. Li,et al.  C-fiber excitability in the cat. , 1973, Experimental neurology.

[33]  A. Kastin,et al.  Endomorphin-2 is an endogenous opioid in primary sensory afferent fibers , 1998, Peptides.

[34]  William A Catterall,et al.  The Hodgkin-Huxley Heritage: From Channels to Circuits , 2012, The Journal of Neuroscience.

[35]  Doerte U. Junghaenel,et al.  Cognitive behavioral therapy for chronic pain is effective, but for whom? , 2016, Pain.

[36]  A. Hodgkin,et al.  A quantitative description of membrane current and its application to conduction and excitation in nerve , 1952, The Journal of physiology.

[37]  D. Mcneal Analysis of a Model for Excitation of Myelinated Nerve , 1976, IEEE Transactions on Biomedical Engineering.

[38]  André Mouraux,et al.  Thermal Detection Thresholds of Aδ- and C-Fibre Afferents Activated by Brief CO2 Laser Pulses Applied onto the Human Hairy Skin , 2012, PloS one.

[39]  Warren M Grill,et al.  Efficiency Analysis of Waveform Shape for Electrical Excitation of Nerve Fibers , 2010, IEEE Transactions on Neural Systems and Rehabilitation Engineering.

[40]  K. Schoenbach,et al.  The effect of pulsed electric fields on biological cells: experiments and applications , 1997 .

[41]  P. Wall,et al.  Pain mechanisms: a new theory. , 1965, Science.

[42]  Ji-Sheng Han,et al.  Acupuncture: neuropeptide release produced by electrical stimulation of different frequencies , 2003, Trends in Neurosciences.

[43]  Yongxiang Wang,et al.  Acupuncture/Electroacupuncture as an Alternative in Current Opioid Crisis , 2019, Chinese Journal of Integrative Medicine.

[44]  E. N. Best,et al.  Null space in the Hodgkin-Huxley Equations. A critical test. , 1979, Biophysical journal.

[45]  Jicheng Wang,et al.  Mechanism of conduction block in amphibian myelinated axon induced by biphasic electrical current at ultra-high frequency , 2011, Journal of Computational Neuroscience.

[46]  A. Mouraux,et al.  How do we selectively activate skin nociceptors with a high power infrared laser? Physiology and biophysics of laser stimulation , 2003, Neurophysiologie Clinique/Clinical Neurophysiology.

[47]  P Varona,et al.  Synchronous behavior of two coupled electronic neurons. , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[48]  Jisheng Han,et al.  Analgesia induced by electroacupuncture of different frequencies is mediated by different types of opioid receptors: another cross-tolerance study , 1992, Behavioural Brain Research.

[49]  Warren M. Grill,et al.  Stimulus waveforms for selective neural stimulation , 1995 .

[50]  Stephen T. Foldes,et al.  Simulation of high-frequency sinusoidal electrical block of mammalian myelinated axons , 2007, Journal of Computational Neuroscience.

[51]  Pedro P. Irazoqui,et al.  Burst-Modulated Waveforms Optimize Electrical Stimuli for Charge Efficiency and Fiber Selectivity , 2015, IEEE Transactions on Neural Systems and Rehabilitation Engineering.

[52]  Bridget A. Martell,et al.  Systematic Review: Opioid Treatment for Chronic Back Pain: Prevalence, Efficacy, and Association with Addiction , 2007, Annals of Internal Medicine.

[53]  D. Burke,et al.  Threshold tracking techniques in the study of human peripheral nerve , 1998, Muscle & nerve.

[54]  W. Grill,et al.  Inversion of the current-distance relationship by transient depolarization , 1997, IEEE Transactions on Biomedical Engineering.

[55]  Changfeng Tai,et al.  Simulation analysis of conduction block in unmyelinated axons induced by high-frequency biphasic electrical currents , 2005, IEEE Transactions on Biomedical Engineering.

[56]  Man Li,et al.  Electroacupuncture decreases Netrin-1-induced myelinated afferent fiber sprouting and neuropathic pain through μ-opioid receptors , 2019, Journal of pain research.

[57]  Atsushi Takaki,et al.  Selective activation of primary afferent fibers evaluated by sine-wave electrical stimulation , 2005, Molecular pain.

[58]  H. Coleridge,et al.  Rapid shallow breathing evoked by selective stimulation of airway C fibres in dogs , 1983, The Journal of physiology.

[59]  David Holder,et al.  Model of Impedance Changes in Unmyelinated Nerve Fibers , 2019, IEEE Transactions on Biomedical Engineering.

[60]  Koji Inui,et al.  Selective Stimulation of C Fibers by an Intra-Epidermal Needle Electrode in Humans , 2009 .