Ignacio Rodríguez

Motor unit action potential duration, I: variability of manual and automatic measurements.

The aim of this work is to analyze the variability in manual measurements of motor unit action potential (MUAP) duration and to evaluate the effectiveness of well-known algorithms for automatic measurement. Two electromyographists carried out three independent duration measurements of a set of 240 MUAPs. The intraexaminer and interexaminer variabilities were analyzed by means of the Gage Reproducibility and Repeatability method. The mean of the three closest manually marked positions was considered the gold standard of the duration markers positions (GSP). The results of four well-known automatic methods for estimating MUAP duration were compared to the GSP. Manual measurements of duration showed a lot of variability, with the combined intraoperator and interoperator variability greater than 30%. The greatest difference between manual positions was 11.2 ms. The mean differences between the GSP and those obtained with the four automatic methods ranged between 0.6 and 8.5 ms. Both manual and automatic measurements of MUAP duration show a high degree of variability. More precise methods are needed to improve the accuracy and reliability of the estimates of this parameter.

Motor unit action potential duration, II: a new automatic measurement method based on the wavelet transform.

The aim of this work is to present and evaluate a new algorithm, based on the wavelet transform, for the automatic measurement of motor unit action potential (MUAP) duration. A total of 240 MUAPs were studied. The waveform of each MUAP was wavelet-transformed, and the start and end points were estimated by regarding the maxima and minima points in a particular scale of the wavelet transform. The results of the new method were compared to the gold standard of duration marker positions obtained by manual measurement. The new method was also compared to a conventional algorithm, which we had found to be best in a previous comparative study. To evaluate the new method against manual measurements, the dispersion of automatic and manual duration markers were analyzed in a set of 19 repeatedly recorded MUAPs. The differences between the new algorithm’s marker positions and the gold standard of duration marker positions were smaller than those observed with the conventional method. The dispersion of the new algorithm’s marker positions was slightly less than that of the manual one. Our new method for automatic measurement of MUAP duration is more accurate than other available algorithms and more consistent than manual measurements.

A muscle architecture model offering control over motor unit fiber density distributions

The aim of this study was to develop a muscle architecture model able to account for the observed distributions of innervation ratios and fiber densities of different types of motor units in a muscle. A model algorithm is proposed and mathematically analyzed in order to obtain an inverse procedure that allows, by modification of input parameters, control over the output distributions of motor unit fiber densities. The model’s performance was tested with independent data from a glycogen depletion study of the medial gastrocnemius of the rat. Results show that the model accurately reproduces the observed physiological distributions of innervation ratios and fiber densities and their relationships. The reliability and accuracy of the new muscle architecture model developed here can provide more accurate models for the simulation of different electromyographic signals.

Comparative evaluation of motor unit architecture models

We present a statistical evaluation and comparison of the simulation outcomes of nine different motor unit architecture modeling approaches, which derive from combinations of four motor unit territory placement algorithms with two innervation pattern algorithms (one of the combinations allows for a double approach). We test how well the outcomes of these models agree with well-established physiological principles. Our results show that algorithms based on independent and uniformly distributed territory placement always lead to an unwanted edge effect consisting in a decay of the number of overlapping motor unit territories toward the edge of the muscle cross section. This edge effect interferes with the properties of the simulated motor units. On the other hand, controlled placement of motor units, so as to minimize the spatial variance of muscle fiber density (MFD), can result in simulated motor units which better reflect the empirical evidence currently available about motor unit architecture.

The peak-to-peak ratio of single-fibre potentials is little influenced by changes in the electrode positions close to the muscle fibre☆

In a series of previous works we studied the ratio between the amplitudes of the second and first phases (the peak-to-peak ratio) of single fibre action potential (SFAPs) using the Dimitrov-Dimitrova SFAP convolutional model as a reference. From experimental potentials extracted from both healthy and diseased muscles, we determined typical peak-to-peak ratio (PPR) values and ranges for both normal and pathological conditions. In addition, we investigated the changes observed in the PPR of consecutive potentials recorded at different fibre-to-electrode distances. However, our results were not conclusive due to insufficient data. The objective of the present work was to obtain a more concrete description of the relation between PPR and radial distance. To this end, we recorded 135 sets of consecutive SFAPs from the m. tibialis anterior of four normal subjects. The needle was intentionally moved whilst recording each SFAP set. We found that PPR was largely independent of small changes in electrode position when the electrode was close to the fibre and sufficiently far from the neuromuscular and/or fibre-tendon junctions. In the discussion, we provide evidence that this result is in agreement with the generation of extracellular potentials considering the spatial extension of the intracellular action potential (IAP) along the fibre.

Analysis of the peak-to-peak ratio of extracellular potentials in the proximity of excitable fibres

In a previous work we studied the ratio between the amplitudes of the second and first phases (which we call PPR, after peak-to-peak ratio) of the single fibre action potential (SFAP) for a collection of fibrillation potentials (FPs) extracted from two pathological muscles. These FPs showed a wider PPR range than the Dimitrov-Dimitrova (D-D) convolutional model could provide. We proposed a modification of the D-D intracellular action potential (IAP) in order to obtain a range of PPRs comparable to that observed in our FPs. This paper extends that study to a large number of SFAPs extracted from the tibialis anterior muscle of normal subjects. The estimation of the average PPR range of non-diseased muscles in non-fatigued conditions is important since it can be used as a reference to establish a comparison with PPR ranges from muscles suffering some disorder or from fibres that are fatigued. Other aspects of the PPR, as its sensitivity with volume conductor parameters or to what extent changes in the SFAP PPR reflects changes in IAP spatial profile are also examined. We found that the PPR of experimental SFAPs ranges from 0.3 to 2.5 in all subjects and that all PPR histograms contain a well-defined single peak around the PPR value 1.0.

Oil prices and economic activity: evidence for G-7 economies based on a wavelet approach

ABSTRACT This study examines the relationship between oil prices and economic activity in the G-7 economies during the period 1960M1–2014M07 using a wavelet approach. The results show significant differences in the relationship between these two variables depending on the frequencies. Furthermore, we find that oil price shocks affect economic activity at low frequencies (long run) in all G-7 countries, while the effect at high frequencies (short run) is limited to a few countries.

Relationship between the rise-time of single-fibre action potentials and radial distance in human muscle fibres

OBJECTIVE This study aims to check the theoretical predictions of the small changes in the rise-time of human single muscle fibre action potentials (SFAPs) experimentally when the recording electrode is in the proximity of the fibre. METHODS Using a single-fibre electrode, 93 sets of consecutive SFAPs were recorded under needle movement from the m. tibialis anterior of four normal subjects. In each SFAP set, the excitation source was assumed to remain unchanged and thus only the fibre-electrode distance varied between consecutive discharges. The changes of SFAP rise-time with peak-to-peak amplitude (V(pp)) within each SFAP set were used to study the relationship between rise-time and radial distance. RESULTS SFAP rise-time was relatively unchanged when V(pp) was greater than 1.0-1.5 mV. For V(pp) smaller than 1.0-1.5 mV, the sensitivity of rise-time to changes in radial distance increased considerably. CONCLUSIONS Although the SFAP rise-time is practically not influenced by changes in radial distance in the proximity of muscle fibres, future work is necessary to confirm the hypothesis of using the rise-time for estimating changes in the intracellular action potential (IAP) depolarisation phase. SIGNIFICANCE The studies are useful in diagnostics and following the results of treatment in patients suffering from muscular dystrophy or myopathy, they are known to be accompanied by severe changes in the duration of IAP.

Analysis of the relationship between the rise-time and the amplitude of single-fibre potentials in human muscles

Using the core-conductor theory, a single fibre action potential (SFAP) can be expressed as the convolution of a biolectrical source and a weight function. In the Dimitrov-Dimitrova (D-D) SFAP convolutional model, the first temporal derivative of the intracellular action potential (IAP) is used as the source. The present work evaluates the relationship between the SFAP peak-to-peak amplitude (V(pp)) and peak-to-peak interval (rise-time, RT) at different fibre-to-electrode distances using simulated signals obtained by the D-D model as well as real recordings. With a single fibre electrode, we recorded 63 sets of consecutive SFAPs from the m. tibialis anterior of four normal subjects. The needle was intentionally moved whilst recording each SFAP set. We used the observed changes in RT and V(pp) within each SFAP set as a point of reference with which to evaluate how closely the relationship between RT and V(pp) provided by the D-D model reflects real data. We found that half of the recorded SFAP sets had rise-times higher than those generated by the D-D model. We also showed the influence of the IAP spatial length on the sensitivity of RT and V(pp) with radial distance. The study reveals some inaccuracies in simulated SFAPs whose origin might be related to the assumptions made in the core-conductor theory.

Corrigendum to "Analysis of the peak-to-peak ratio of extracellular potentials in the proximity of excitable fibres" [J. Electromyogr. Kinesiol. 20(5) (2010) 868-878].

http://dx.doi.org/10.1016/j.jelekin.2016.08.012 DOI of original article: http://dx.doi.org/10.1016/j.jelekin.2009.07.008 ⇑ Corresponding author. E-mail addresses: javier.rodriguez.falces@gmail.com (J. Rodriguez-Falces), malanda@unavarra.es (A. Malanda). J. Rodriguez-Falces a,⇑, A. Malanda , L. Gila , I. Rodriguez , J. Navallas a a Public University of Navarra, Dept. Electrical and Electronical Engineering, 31006 Pamplona, Spain Virgen Del Camino Hospital, Dept. Clinical Neurophysiology, 31008 Pamplona, Spain