Comparative evaluation of techniques for the harmonic analysis of human motion data

Four mathematical techniques for the estimation of the Fourier coefficients of pseudoperiodic non-exact discrete functions were submitted to comparative evaluation. These techniques were devised within the following basic procedures: (1) numerical harmonic analysis applied either directly or after redistribution of the data points through some interpolation procedure, so that they be evenly spaced in time and exactly fit on cycle period; (2) fitting of the empirical data with an analytical model followed by the calculation of the Fourier integrals of this model. The evaluation was carried out with special reference to the use of these techniques for processing human motion photogrammetric data. The following criteria were used: (1) accuracy of the Fourier coefficient estimates, (2) capability of yielding information about this accuracy, (3) a priori information needed regarding the statistical properties of the experimental error, (4) factors concerning implementation in digital computers. Practical information was obtained for the non-specialist user with regard to the choice of one technique among the several possible in particular circumstances.     

Kinematic and electromyographic analysis of the Nordic Hamstring Exercise

The Nordic Hamstring Exercise (NHE) has been introduced as a training tool to improve the efficiency of eccentric hamstring muscle contraction. The aim of this study was to perform a biomechanical analysis of the NHE. Eighteen participants (20.4 ± 1.9 years) performed two sets of five repetitions each of the NHE and maximal eccentric voluntary contraction (MEVC) of the knee flexors on an isokinetic dynamometer whilst knee angular displacement and electrical activity (EMG) of biceps femoris were measured. EMG was on average higher during the NHE (134.3% of the MEVC). During the forward fall of the NHE, the angle at which a sharp increase in downward velocity occurred varied between 47.9 and 80.5 deg, while the peak knee angular velocity (pVelocity) varied between 47.7 and 132.8 deg s^?1. A significant negative correlation was found between pVelocity and peak EMG (r = ?0.62, p < 0.01) and EMG at 45 deg (r = ?0.75, p < 0.01) expressed as a percentage of peak MEVC EMG. Some of the variables analyzed exhibited good to excellent levels of intra- and inter-session reliability. This type of analysis could be used to indirectly monitor the level of eccentric strength of the hamstring muscles while performing the NHE and potentially any training- or injury-related changes.     

An electromyographic analysis of two handwriting grasp patterns

BackgroundHandwriting is a fundamental skill needed for the development of daily-life activities during lifetime and can be performed using different forms to hold the writing object. In this study, we monitored the sEMG activity of trapezius, biceps brachii, extensor carpi radialis brevis and flexor digitorum superficialis during a handwriting task with two groups of subjects using different grasp patterns.Subjects and methodsTwenty-four university students (thirteen males and eleven females; mean age of 22.04 ± 2.8 years) were included in this study. We randomly invited 12 subjects that used the Dynamic Tripod grasp and 12 subjects that used the Static Tripod grasp.ResultsThe static tripod group showed statistically significant changes in the sEMG activity of trapezium and biceps brachii muscles during handwriting when compared to dynamic tripod group’s subjects. No significant differences were found in extensor carpi radialis brevis and flexor digitorum superficialis activities among the two groups.ConclusionThe findings in this study suggest an increased activity of proximal muscles among subjects using a transitional grasp, indicating potential higher energy expenditure and muscular harm with the maintenance of this motor pattern in handwriting tasks, especially during the progression in academic life.     

Characteristics and analysis of uterine electromyographic activity in pregnant cows

The electromyographic activity of the cow uterus in the last trimester of pregnancy was investigated. The investigation was performed on 12 animals and the electrical activity was recorded in the last trimester of pregnancy during 11 different periods until the delivery. The duration of the action potential bursts (APB) recorded during the first 7 periods, was small. It did not exceed 2 seconds. A significant increase, however, was recorded at 7 to 9 days before the labor and it involved all the investigated areas in the uterus. The number of APB of the gravid horn was significantly higher than that recorded at other locations in the uterus with the exception of the day of delivery. A significant correlation was found between the number of APB and the level of magnesium in blood serum. The levels of 17-beta estradiol and progesterone were similar during all studied periods with the exception of the last week, in which a dramatic fall in estradiol level and a significant increase in the progesterone concentration were observed. The results showed that it is possible to distinguish three different phases of electric activity in the cow uterus during the last trimester of pregnancy. The features of these phases were discussed.     

Objective evaluation of wind chill index by records of frostbite in the Antarctica

Investigations in the Antarctic show that the onset of freezing of exposed skin under natural field conditions is closely correlated to a wind chill index of 1,400, calculated according to the Siple-Passel formula,and provide evidence of the validity of the wind chill formula in this range. Experimental frostbites of isolated fingers exposed to antarctic climatic conditions, however, demonstrate a closer correlation with atmospheric cooling calculated by a different formula. This may be accounted for by differences in cooling rate in relation to body diameter.

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Zusammenfassung Untersuchungen in der Antarktis zeigen, dass der Beginn des Erfrieren einer exponierten Hautstelle unter natürlichen Bedingungen eine enge Beziehung zu einem Wind-Kälte-Index von 1.400 nach der Formel von Siple-Passel und damit die Gültigkeit der Wind-Kälte-Formel in diesem Bereich unter Beweis stellt.Versuche mit Frostbeulen an isolierten Fingern, die den antarktischen Klimabedingungen ausgesetzt waren, zeigten dagegen eine engere Beziehung zur Kälte der Luft,die nach einer anderen Formel berechnet wurde.Dies mag seinen Grund in Unterschieden des Ausmasses der Abkühlung je nach dem Durchmesser des untersuchten Körperteils haben.

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Resume Des recherches faites dans l'Antarctique montrent que le début des gelures d'une partie de peau nue est, dans des conditions naturelles,en rapport étroit avec un index vent-froid. Cet index, calculé selon la formule de Siple-Passel,est de 1.400 et prouve que cette formule est valable dans ces conditions. Des essais faits avec des engelures à des doigt isolés, mais exposées aux conditions climatiques de l'Antarctique montrent par contre une relation plus étroite avec le froid de l'air, calculé selon une autre formule. Ces différences sont probablement dues à l'importance de la réfrigération qui dépend, elle, du diamètre de la partie du corps examinée.

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Paper presented during the Fourth Int. Biometeorological Congress,New Brunswick, N.J., 26 August–2 September 1966.     

The graph theoretical analysis of the SSVEP harmonic response networks

Steady-state visually evoked potentials (SSVEP) have been widely used in the neural engineering and cognitive neuroscience researches. Previous studies have indicated that the SSVEP fundamental frequency responses are correlated with the topological properties of the functional networks entrained by the periodic stimuli. Given the different spatial and functional roles of the fundamental frequency and harmonic responses, in this study we further investigated the relation between the harmonic responses and the corresponding functional networks, using the graph theoretical analysis. We found that the second harmonic responses were positively correlated to the mean functional connectivity, clustering coefficient, and global and local efficiencies, while negatively correlated with the characteristic path lengths of the corresponding networks. In addition, similar pattern occurred with the lowest stimulus frequency (6.25 Hz) at the third harmonic responses. These findings demonstrate that more efficient brain networks are related to larger SSVEP responses. Furthermore, we showed that the main connection pattern of the SSVEP harmonic response networks originates from the interactions between the frontal and parietal–occipital regions. Overall, this study may bring new insights into the understanding of the brain mechanisms underlying SSVEP.     

Application of three-way principal component analysis to the evaluation of two-dimensional maps in proteomics

Three-way PCA has been applied to proteomic pattern images to identify the classes of samples present in the dataset. The developed method has been applied to two different datasets: a rat sera dataset, constituted by five samples of healthy Wistar rat sera and five samples of nicotine-treated Wistar rat sera; a human lymph-node dataset constituted by four healthy lymph-nodes and four lymph-nodes affected by a non-Hodgkin's lymphoma. The method proved to be successful in the identification of the classes of samples present in both of the groups of 2D-PAGE images, and it allowed us to identify the regions of the two-dimensional maps responsible for the differences occurring between the classes for both rat sera and human lymph-nodes datasets.     

An analysis of world records in three types of locomotion

The record history of running, swimming and ice-skating, over various distances, was analyzed. A mean period of about 66 years for the 18 male events and of about 50 years for the 14 female events was studied. Over a given distance the velocity (v) was related to the dates of the records minus 1900 (T) according to polynomial functions like: v = a0 + a1T + a2T2 + ..... + anTn. In 21 out of the 32 events equations of first or second degree fitted the experimental data. The mean correlation coefficient was 0.979 +/- 0.019 (+/- S.D.). The ratio between predicted (vlp) and actual value (vl) of the last records was 0.999 +/- 0.010. For T corresponding to v1 (Tl), the rate of record growth was slowing down in 5 events. Hence up to June 1981 a tendency towards an asymptotic v was not yet a general phenomenon. At Tl the range of the relative rate of increase of v (dvp/dT . vlp) was 0.9 . 10(-3) per year (800 m - female running) and 12.4 . 10(-3) per year (800 m - female swimming). dv/dT . vlp in swimming and skating was similar in both sexes but 4 times faster than in male running. Less marked differences were found for female running. A lowering of the cost of transport was probably the main reason of the fast growth of swimming and skating records. The numerical constants calculated from linear regression of v versus the time of the races over different distances did not seem to have a clear physiological meaning, as reported in the previous literature.     

The effects of sloped surfaces on locomotion: an electromyographic analysis

Investigations using quadrupeds have suggested that the motor programs used for slope walking differ from that used for level walking. This idea has not yet been explored in humans. The aim of this study was to use electromyographic (EMG) signals obtained during level and slope walking to complement previously published joint angle and joint moment data in elucidating such control strategies. Nine healthy volunteers walked on an instrumented ramp at each of five grades (-39%, -15%, 0%, +15%, +39%). EMG activity was recorded unilaterally from eight lower limb muscles (gluteus maximus (GM), rectus femoris (RF), vastus medialis (VM), biceps femoris (BF), semimembranosus (SM), soleus (Sol), medial gastrocnemius (MG), and tibialis anterior (TA)). The burst onset, duration, and mean activity were calculated for each burst in every trial. The burst characteristics were then averaged within each grade and subject and submitted to repeated measures ANOVAs to assess the effect of grade (alpha=0.05, a priori). Power production increased during upslope walking, as did the mean activity and burst durations of most muscles. In this case, the changes in muscle activity patterns were not predictable based on the changes in joint moments because of the activation of biarticular muscles as antagonists. During downslope walking power absorption increased, as did knee extensor activity (mean and duration) and the duration of the ankle plantarflexor activity. The changes in muscle activity during this task were directly related to the changes in joint moments. Collectively these data suggest that the nervous system uses different control strategies to successfully locomote on slopes, and that joint power requirements are an important factor in determining these control strategies.     

Time-frequency analysis of surface electromyographic signals during fatiguing isokinetic muscle actions

The purpose of this study was to use a wavelet analysis designed specifically for electromyography (EMG) signals in combination with a trend plot to examine changes in EMG intensity patterns during maximal, fatiguing isokinetic muscle actions. Eleven men (mean ± SD age = 22.4 ± 1.1 years) and 7 women (mean ± SD age = 22.7 ± 2.1 years) performed 50 consecutive maximal concentric isokinetic muscle actions of the dominant leg extensors at a velocity of 180°·s(-1). During each muscle action, a bipolar surface EMG signal was detected from the vastus lateralis. All signals were then processed with a wavelet analysis designed specifically for EMG signals, which resulted in EMG intensity patterns. The patterns for each subject were then analyzed with a trend plot, which provided information regarding the changes that occurred because of fatigue. The results indicated that for all the 18 subjects, the EMG intensity patterns moved in a predictable manner in pattern space, but the changes to the patterns were different for each subject. These findings reflect the complex changes that occur in the EMG signal during fatigue. These changes cannot be characterized fully with a single amplitude and center frequency parameter and can be useful for athletes and coaches who need to track the fatigue status of individual muscles.     

Multivariable harmonic balance analysis of the neuronal oscillator for leech swimming

Biological systems, and particularly neuronal circuits, embody a very high level of complexity. Mathematical modeling is therefore essential for understanding how large sets of neurons with complex multiple interconnections work as a functional system. With the increase in computing power, it is now possible to numerically integrate a model with many variables to simulate behavior. However, such analysis can be time-consuming and may not reveal the mechanisms underlying the observed phenomena. An alternative, complementary approach is mathematical analysis, which can demonstrate direct and explicit relationships between a property of interest and system parameters. This paper introduces a mathematical tool for analyzing neuronal oscillator circuits based on multivariable harmonic balance (MHB). The tool is applied to a model of the central pattern generator (CPG) for leech swimming, which comprises a chain of weakly coupled segmental oscillators. The results demonstrate the effectiveness of the MHB method and provide analytical explanations for some CPG properties. In particular, the intersegmental phase lag is estimated to be the sum of a nominal value and a perturbation, where the former depends on the structure and span of the neuronal connections and the latter is roughly proportional to the period gradient, communication delay, and the reciprocal of the intersegmental coupling strength.

A differential suction electrode for recording electromyographic activity from the pelvic floor muscles: Crosstalk evaluation

The purpose of this study was to determine whether a differential suction electrode (DSE) probe is less prone to recording crosstalk from the hip adductors or external rotators than the Femiscan? probe when recording electromyography (EMG) data from the pelvic floor muscles (PFMs). Twenty nulliparous, continent women performed hip adduction and hip external rotation contractions at 25%, 50% and 100% of maximal voluntary effort both while keeping their PFMs relaxed and while contracting their PFMs as strongly as possible. All tasks were performed while DSEs were adhered to the vaginal wall at the level of the pubococcygeus group bilaterally, and also with the Femiscan? probe in situ. The order of the probes was randomized. For each task, the peak smoothed PFM EMG amplitude was compared between hip forces and probes using a two-way repeated measures analysis of variance (ANOVA) including the interaction between contraction level and probe (α = 0.05). There was a significant contraction level by probe interaction for each task. In most cases the Femiscan? probe recorded significantly higher PFM EMG activity during hip adduction and external rotation tasks at 25% and 50% MVC compared to what it recorded when the hip musculature remained relaxed, whereas the DSE probe did not. As such, the DSE probe appears to be less susceptible to crosstalk from the hip adductors and external rotators than the Femiscan? probe at these hip muscle contraction levels. Both probes recorded significantly higher EMG activity when maximal contractions of the hip adductors and external rotators were performed therefore, no conclusion can be made regarding whether the activity recorded from the PFMs during maximal hip adduction and external rotation is the result of crosstalk or co-activation.