A model of the muscle action potential for describing the leading edge, terminal wave, and slow afterwave

The leading edge, terminal wave, and slow afterwave of the motor-unit action potential (MUAP) are produced by changes in the strength of electrical sources in the muscle fibers rather than by movement of sources. The latencies and shapes of these features are, therefore, determined primarily by the motor-unit (MU) architecture and the intracellular action potential (IAP), rather than by the volume-conduction characteristics of the limb. We present a simple model to explain these relationships. The MUAP is modeled as the convolution of a source function related to the IAP and a weighting function related to the MU architecture. The IAP waveform is modeled as the sum of a spike and a slow repolarization phase. The MU architecture is modeled by assuming that the individual fibers lie along a single equivalent axis but that their action potentials have dispersed initiation and termination times. The model is illustrated by simulating experimentally recorded MUAPs and compound muscle action potentials.

[1]  J. Daube,et al.  Muscles Alive , 1981, Neurology.

[2]  Kevin C. McGill,et al.  A model of the muscle-fiber intracellular action potential waveform, including the slow repolarization phase , 2001, IEEE Trans. Biomed. Eng..

[3]  J H Blok,et al.  Surface EMG models: properties and applications. , 2000, Journal of electromyography and kinesiology : official journal of the International Society of Electrophysiological Kinesiology.

[4]  E Stålberg,et al.  Quantitative motor unit potential analysis. , 1996, Journal of clinical neurophysiology : official publication of the American Electroencephalographic Society.

[5]  S. Andreassen,et al.  Relationship of intracellular and extracellular action potentials of skeletal muscle fibers. , 1981, Critical reviews in bioengineering.

[6]  Z C Lateva,et al.  Influence of the fiber length on the power spectra of single muscle fiber extracellular potentials. , 1991, Electromyography and clinical neurophysiology.

[7]  Sanjeev D. Nandedkar,et al.  Simulation Techniques in Electromyography , 1985, IEEE Transactions on Biomedical Engineering.

[8]  Aaas News,et al.  Book Reviews , 1893, Buffalo Medical and Surgical Journal.

[9]  Steen Andreassen,et al.  Simulation of concentric needle EMG motor unit action potentials , 1988, Muscle & nerve.

[10]  G Rau,et al.  Noninvasive approach to motor unit characterization: muscle structure, membrane dynamics and neuronal control. , 1997, Journal of biomechanics.

[11]  R. Plonsey.  Action potential sources and their volume conductor fields , 1977, Proceedings of the IEEE.

[12]  R Plonsey,et al.  The active fiber in a volume conductor. , 1974, IEEE transactions on bio-medical engineering.

[13]  H P Ludin,et al.  Microelectrode study of normal human skeletal muscle. , 1969, European neurology.

[14]  N. Dimitrova,et al.  Model of the extracellular potential field of a single striated muscle fibre. , 1974, Electromyography and clinical neurophysiology.

[15]  Z C Lateva,et al.  The physiological origin of the slow afterwave in muscle action potentials. , 1997, Electroencephalography and clinical neurophysiology.

[16]  G V Dimitrov,et al.  Extracellular potential field of a single striated muscle fibre immersed in anisotropic volume conductor. , 1974, Electromyography and clinical neurophysiology.

[17]  D SILVERMAN,et al.  Some observations on the EEG in hepatic coma. , 1962, Electroencephalography and clinical neurophysiology.

[18]  E Stålberg,et al.  Simulation of macro EMG motor unit potentials. , 1983, Electroencephalography and clinical neurophysiology.

[19]  D. Stegeman,et al.  Finite limb dimensions and finite muscle length in a model for the generation of electromyographic signals. , 1991, Electroencephalography and clinical neurophysiology.

[20]  J. Basmajian.  Muscles Alive—their functions revealed by electromyography , 1963 .

[21]  D. Dumitru,et al.  Motor unit action potential components and physiologic duration , 1999, Muscle & nerve.

[22]  G V Dimitrov,et al.  Influence of the afterpotentials on the shape and magnitude of the extracellular potentials generated under activation of excitable fibres. , 1979, Electromyography and clinical neurophysiology.

[23]  P. Rosenfalck.  Intra- and extracellular potential fields of active nerve and muscle fibres. A physico-mathematical analysis of different models. , 1969, Acta physiologica Scandinavica. Supplementum.

[24]  D. Stegeman,et al.  Volume conduction models for surface EMG; confrontation with measurements. , 1997, Journal of electromyography and kinesiology : official journal of the International Society of Electrophysiological Kinesiology.

[25]  R. Merletti,et al.  Modeling of surface myoelectric signals. I. Model implementation , 1999, IEEE Transactions on Biomedical Engineering.

[26]  R. Merletti,et al.  Modeling of surface myoelectric signals--Part I: Model implementation. , 1999, IEEE transactions on bio-medical engineering.

[27]  H B Boom,et al.  Calculation and registration of the same motor unit action potential. , 1982, Electroencephalography and clinical neurophysiology.

[28]  D F Stegeman,et al.  Near- and far-fields: source characteristics and the conducting medium in neurophysiology. , 1997, Journal of clinical neurophysiology : official publication of the American Electroencephalographic Society.

[29]  Erik Stålberg,et al.  Single fiber electromyography , 1994 .

[30]  R. Plonsey,et al.  The extracellular potential field of the single active nerve fiber in a volume conductor. , 1968, Biophysical journal.

[31]  Z C Lateva,et al.  Effect of recording electrode position along a muscle fibre on surface potential power spectrum. , 1993, Journal of electromyography and kinesiology : official journal of the International Society of Electrophysiological Kinesiology.

[32]  Z C Lateva,et al.  Anatomical and electrophysiological determinants of the human thenar compound muscle action potential , 1996, Muscle & nerve.

[33]  N. Dimitrova,et al.  Precise and fast calculation of the motor unit potentials detected by a point and rectangular plate electrode. , 1998, Medical engineering & physics.

[34]  Serge H. Roy,et al.  Modeling of surface myoelectric signals. II. Model-based signal interpretation , 1999, IEEE Transactions on Biomedical Engineering.

[35]  S. Andreassen,et al.  Quantitative Analysis of Individual Motor Unit Potentials: A Proposition for Standardized Terminology and Criteria for Measurement , 1986, Journal of clinical neurophysiology : official publication of the American Electroencephalographic Society.

[36]  R. Plonsey,et al.  A mathematical evaluation of the core conductor model. , 1966, Biophysical journal.

[37]  Kevin C. McGill,et al.  Optimal resolution of superimposed action potentials , 2002, IEEE Transactions on Biomedical Engineering.

[38]  F BUCHTHAL,et al.  Innervation zone and propagation velocity in human muscle. , 1955, Acta physiologica Scandinavica.

[39]  P. H. Kleinpenning,et al.  The equivalent source description representing the extinction of an action potential at a muscle fiber ending. , 1990, Mathematical biosciences.

[40]  Kevin C McGill,et al.  Estimating motor-unit architectural properties by analyzing motor-unit action potential morphology , 2001, Clinical Neurophysiology.