Depth and intensity of equivalent current dipoles estimated through an inverse analysis of surface electromyograms using the image method

The depth and intensity of equivalent current dipoles that can create the surface potentials of active motor units in human skeletal muscles are estimated through an inverse analysis of surface electromyographic (EMG) potentials in an attempt to measure detailed muscular activity non-invasively. The inverse analysis is conducted by repetition of forward analyses. In the study, the image method is used for forward analysis, because it is the simplest potential calculation method for electric currents in a semi-infinite volume conductor. Using this method, surface EMG potentials are calculated for current sources assumed to be located in a muscle. An inverse analysis is then carried out by searching for the depth and intensity of such current sources that would minimise the sum of squares difference between measured and calculated surface EMG potentials. The inverse analysis is applied to surface EMG potentials measured from the biceps brachii of three healthy subjects. As a result, the individual current sources are estimated to be 2.7±1.6 mm deep and 0.5±0.9 nAm in intensity, whereas the total current intensity for individual motor units is 2.4±2.9 nAm.

[1]  Tsunehiro Takeda,et al.  Magnetic fields produced by single motor units in human skeletal muscles , 1999, Clinical Neurophysiology.

[2]  P. A. Lynn,et al.  Direct On-Line Estimation of Muscle Fiber Conduction Velocity by Surface Electromyography , 1979, IEEE Transactions on Biomedical Engineering.

[3]  Y. Yamashita,et al.  Use of the Finite Element Method to Determine Epicardial from Body Surface Potentials Under a Realistic Torso Model , 1984, IEEE Transactions on Biomedical Engineering.

[4]  B. K. van Veen,et al.  Potential distribution and single-fibre action potentials in a radially bounded muscle model , 1992, Medical and Biological Engineering and Computing.

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

[6]  T.J. Ulrych,et al.  Phase estimation using the bispectrum , 1984, Proceedings of the IEEE.

[7]  P. A. Lynn,et al.  Influence of electrode geometry on bipolar recordings of the surface electromyogram , 1978, Medical and Biological Engineering and Computing.

[8]  F. Buchthal,et al.  Motor unit territory in different human muscles. , 1959, Acta physiologica Scandinavica.

[9]  Yoshiwo Okamoto,et al.  Limitation of the Inverse Problem in Body Surface Potential Mapping , 1983, IEEE Transactions on Biomedical Engineering.

[10]  Tadashi Masuda,et al.  Distribution of innervation zones in the human biceps brachii. , 1991, Journal of electromyography and kinesiology : official journal of the International Society of Electrophysiological Kinesiology.

[11]  D. Shanno Conditioning of Quasi-Newton Methods for Function Minimization , 1970 .

[12]  A. Willem Monster,et al.  A System for the Rapid Acquisition of Surface Potential Maps of Human Skeletal Muscle Motor Units , 1980, IEEE Transactions on Biomedical Engineering.

[13]  D. Stegeman,et al.  The motor unit potential distribution over the skin surface and its use in estimating the motor unit location. , 1997, Acta physiologica Scandinavica.

[14]  N. A. Trayanova,et al.  Extracellular potentials of single active muscle fibres: Effects of finite fibre length , 1986, Biological Cybernetics.

[15]  K. L. Boon,et al.  A study of the motor unit action potential by means of computer simulation , 1978, Biological Cybernetics.

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

[17]  P. Chatterjee,et al.  Leakage studies in high-density dynamic MOS memory devices , 1979 .

[18]  K Kanosue,et al.  The number of active motor units and their firing rates in voluntary contraction of human brachialis muscle. , 1979, The Japanese journal of physiology.

[19]  B. Feinstein,et al.  Morphologic studies of motor units in normal human muscles. , 1955, Acta anatomica.

[20]  D. Stegeman,et al.  Motor unit size estimation: confrontation of surface EMG with macro EMG. , 1997, Electroencephalography and clinical neurophysiology.

[21]  Y. Nakajima,et al.  Dipole-tracing method applied to human brain potentials , 1987, Journal of Neuroscience Methods.

[22]  Probabilistic model of the spatial distribution of muscle fibres in human muscles , 1985, Biological Cybernetics.

[23]  N. A. Trayanova,et al.  Electrical behavior of a skeletal muscle fiber in a volume conductor of finite extent , 1990, Biological Cybernetics.

[24]  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.

[25]  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.

[26]  J.C. Mosher,et al.  Multiple dipole modeling and localization from spatio-temporal MEG data , 1992, IEEE Transactions on Biomedical Engineering.