The initiation of treatment for women with threatening preterm labor requires effective distinction between true and false labor. The electrohysterogram (EHG) has shown great promise in estimating and classifying uterine activity. However, key issues remain unresolved and no clinically usable method has yet been presented using EHG. Recent studies have focused on the propagation velocity of the EHG signals as a potential discriminator between true and false labor. These studies have estimated the propagation velocity of individual spikes of the EHG signals. We therefore focus on estimating the propagation velocity of the entire EHG burst recorded during a contraction in two dimensions.
EHG measurements were performed on six women in active labor at term, and a total of 35 contractions were used for the estimation of propagation velocity. The measurements were performed using a 16-channel two-dimensional electrode grid. The estimates were calculated with a maximum-likelihood approach.
The estimated average propagation velocity was 2.18 (±0.68) cm/s. No single preferred direction of propagation was found.
Citation: Lange L, Vaeggemose A, Kidmose P, Mikkelsen E, Uldbjerg N, Johansen P (2014) Velocity and Directionality of the Electrohysterographic Signal Propagation. PLoS ONE 9(1): e86775. https://doi.org/10.1371/journal.pone.0086775
Editor: Tamas Zakar, John Hunter Hospital, Australia
Received: September 25, 2013; Accepted: December 15, 2013; Published: January 21, 2014
Copyright: © 2014 Lange et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Funding: The authors have no support or funding to report.
Competing interests: The authors have declared that no competing interests exist.
Premature birth, defined as birth before 37 completed weeks of gestation, is a serious obstetric challenge which is associated with a high occurrence of neonatal morbidity and mortality. In industrialized countries, preterm delivery is responsible for 70% of mortality and 75% of morbidity in the neonatal period.  Also, it contributes to significant long term neurodevelopmental problems, pulmonary dysfunction and visual impairment. , 
Although important insights into the pathophysiology of preterm labor have been achieved over the past several decades, effective therapeutic interventions to decrease spontaneous preterm delivery have not been established.  On the contrary, the preterm birth rate in the United States has increased from 9.4% in 1981 to 12.8% in 2006, although the latest reports show a slight decrease to 12.2% in 2009.  A recent study estimated the worldwide preterm birth rate at 9.6%. 
The current therapeutic treatment for threatening preterm labor has two goals: To delay the actual delivery and to optimize fetal status before preterm delivery. In the effort to delay delivery, several methods are used. These include administration of anti-contraction medications (tocolytic agents), antibiotics when infection is suspected, and strengthening of the uterine cervix (cervical cerclage) in women with a weakened cervix. ,  The delay of delivery, combined with the use of corticosteroids, helps prevent neonatal respiratory distress syndrome by accelerating the fetal lung maturity.
Today it is difficult to identify which women will benefit from the above mentioned treatments. This is mainly due to the fact that it is difficult to make a distinction between true labor contractions and Braxton Hicks contractions, which are sporadic uterine contractions that occur in false labor. The inability to make a distinction between the two types of contractions, often leads to pregnant women with Braxton Hicks contractions being over-treated, and women in preterm labor being undertreated.
The methods most commonly used to assess contractions include tocodynamometry and intrauterine pressure (IUP) catheters. Unfortunately, these methods have some major drawbacks. The tocodynamometer suffers from an inherent lack of accuracy, seriously limiting its prognostic value.  An IUP catheter offers a much better accuracy, but is an invasive method and can therefore only be used on women in active labor. At the same time they increase the risk of infection or accidental induction of labor since it involves rupture of the fetal membranes  and has in rare cases been associated with uterus perforation and placental abruption.  As such, no appropriate technique of assessing uterine contractions exists today, highlighting the need for a new and improved non-invasive method.
Over the years, an alternative method of estimating uterine activity has emerged, based on monitoring of the electrical activity in the smooth muscle cells of the uterus known as the myometrium. This noninvasive measurement of electrical activity in the uterus is commonly referred to as an electrohysterogram (EHG). The signals measured by an EHG represent the aggregated electrical activity in the underlying smooth muscle cells. They reflect the continuous de- and repolarization of the cell membranes, and therefore also the contraction of the muscle cells, making it a good marker for uterine activity. – The uterine electrical activity appears in bursts, each corresponding to a contraction. A burst is seen as a low frequency (<1 Hz) oscillating signal that can last more than a minute.  The individual peaks in the signal are commonly referred to as “spikes” in the literature.
Studies suggest that the characteristic properties of the EHG changes as delivery approaches. – Among these, the peak frequency of the power density spectrum (PDS) has been one of the most predictive EHG parameters in both human and animal studies. ,  It has been shown that laboring preterm patients have a significantly higher PDS peak frequency than non-laboring patients.  Other parameters related to the timing and amplitude of the EHG bursts have demonstrated less potential in the prediction of true labor. 
The newest area of research in relation to EHG measurements are concerned with the propagation of the electrical signal in the myometrium. Studies have shown that the number of gap junctions in the uterus increase close to delivery. ,  The increasing number of gap junctions form an electrical syncytium required for coordination of myometrial cells for effective contractions. We would expect that this in turn leads to an increased propagation velocity (PV) of electrical signals in the myometrium before delivery. As a result it has been suggested that EMG recordings can be used to asses PV in vivo and thereby determine the stage of pregnancy. 
Some studies have been performed in an effort to estimate the propagation velocity with the use of surface EHG. In one case, Lucovnik et al. estimated the velocity with the use of a bipolar electrode setup, taking into account only one dimension of propagation at a time.  In other studies, Rabotti et al. used a 64-channel high density two-dimensional electrode grid. ,  This permits estimation of both velocity components, for a small area of the uterus. All of these studies are based on the estimation of time delays between spikes. In this paper, we focus therefore on estimating the propagation velocity of the entire EHG bursts that occur during a contraction. This means that the velocity estimates are calculated from entire bursts corresponding to a full contraction event. Since the origin of a contraction is a priori unknown, a secondary objective of this study is to investigate the direction of propagation of the EHG signals, and thereby also the origin of the contractions.
Materials and Methods
The propagation velocity and the direction of propagation are estimated on EHG signals from laboring women. This section describes the procedure for obtaining the measurements, the measuring equipment that was used as well as the signal processing that was applied to the acquired signals.
The measurements were carried out at the Department of Obstetrics and Gynecology at Aarhus University Hospital, Denmark. The measurements procedure was approved by The Central Denmark Region Committees on Health Research Ethics (permission number: 32939). The study complies with the Helsinki II declaration. Measurements were performed on six women in labor at term after signing an informed written consent. All women gave birth within 11 hours from the time of measurement. The elapsed time between the measurement and time of delivery can be seen in Table 1 for all patients.
The measurements were performed using a g.GAMMAsys active electrode system (g.tec medical engineering, Schiedlberg, Austria), comprising 16 active electrodes and a biosignal amplifier. The electrodes were fixed in a square four by four grid with an inter-electrode distance of 3.5 cm as shown in figure 1. An active ground electrode, also known as a driven-right-leg electrode, was used to reduce common-mode interference. Double-sided adhesive washers were placed on the electrodes and the electrode grid was placed on the abdominal wall and centered around the umbilicus. A reference electrode was placed on the right hip and the ground electrode was placed halfway between the electrode grid and the reference electrode. All electrodes were filled with a conductive electrode gel of the type g.GAMMAgel (g.tec medical engineering, Schiedlberg, Austria).
Placement of the 16 measuring electrodes. The direction of propagation is defined in relation to the angle θ.
The acquired signals were sampled with a sampling frequency of 1200 Hz. The signals used for propagation velocity estimation were down sampled from 1200 Hz to 16 Hz. The EHG signal contains noise from numerous different sources which do not contribute to an understanding of the EHG. The noise sources include drift, fetal and maternal ECG, respiratory movement, EMG interference generated by the contraction of abdominal skeletal muscles, motion artifacts and 50 Hz power line noise. Studies have shown that the frequency content of the maternal ECG can be as low as 1 Hz ,  and showed that the respiratory frequency can be as high as 20 times per minute equivalent to 0.33 Hz.  The EMG interference generated by the contraction of abdominal muscles has a dominant frequency component at around 30 Hz.  Studies commonly use a filter range from 0.34 Hz to 1 Hz. , ,  Other studies use 0.1 Hz to 0.8 Hz. ,  In this study, an upper frequency limit of 1 Hz was chosen. Similarly, a lower frequency limit of 0.1 Hz was used. This introduces the possibility that motion artifacts due to respiration contaminate the signal, but at the same time ensures that the entire EHG signal is recorded. The filter was implemented as a cascade filter of a low-pass and a high-pass eight order Butterworth filter. An example of a filtered and down sampled signal recorded from one electrode is shown in figure 2.
The velocity and direction estimates were computed using a maximum-likelihood approach described by Rabotti et al.  A brief description of the method will be given here.
The estimates are computed using the signals acquired by a grid composed of Nr rows and Nc columns of electrodes. The EHG signal is assumed to propagate with a fixed velocity v and a direction defined by the angle θ in respect to the vertical axis of the measuring grid as seen in figure 1. The delay between neighboring rows of electrodes is denoted τr and the delay between neighboring columns of electrodes is denoted τc. Assuming a fixed velocity and direction of propagation means that all column delays are identical, and all row delays are identical.
The implemented maximum-likelihood algorithm estimates the two delays, τr and τc, by minimizing the cost function(1)where Xrc(f) is the Discrete Fourier Transform of the signal recorded by the channel in row r and column c. Similarly, Xmp(f) represents the Fourier transform of the signal recorded by the channel in row m and column p, and N is the length of the DFT. By implementing the cost function in the frequency domain, it can be evaluated for real values of the delay parameters τr and τc. When the delays have been estimated, the velocity and angle can be computed by the relations
(2)The estimation method was implemented in MATLAB (Mathworks), and the cost function was minimized with a native function using the simplex search method described by Lagarias et al.  The function was initialized with different delay values to ensure that the detected minimum was also the global minimum.
A total of 35 contractions were extracted from the six measurements from which the direction of propagation and propagation velocities were estimated. Figure 3 shows the average conduction velocities and standard deviations for each patient. The average propagation velocity for all 35 contractions was found equal to 2.18 (±0.68) cm/s.
Mean and standard deviation of the estimated velocities for all patients.
The estimated direction of propagation can be expressed as an angle in respect to the vertical axis of the measuring grid. This means that an angle of zero degrees corresponds to a contraction originating in the upper part of the uterus with a purely vertical downwards propagation. Similarly, an angle of 180 degrees corresponds to a contraction originating in the lower part of the uterus with a purely vertical upwards propagation. The estimated direction of propagation for each contraction burst is reported in figure 4 for all patients. In an effort to visualize the propagation directions, all 35 contractions are plotted on a circle according to their corresponding angle in figure 5. To see if any preferred direction of propagation exists, the circle is divided into four quadrants corresponding to an upwards, downwards and two sideways directions as also seen in figure 5. The frequency for each directional quadrant is shown in the histogram in figure 6. Dividing the circle into an upper and a lower part, 63% of the contractions originated in the upper part of the uterus and 37% originated in the lower part of the uterus.
Distribution of estimated directions of propagation for each patient. Each contraction burst is marked with an X.
Direction of propagation is estimated for each contraction and marked with a circle.
In this study we focused on estimating the propagation velocity of entire EHG bursts over a large area of the uterus with a two-dimensional measurement setup. At the same time, the overall direction of propagation was estimated to see if any preferred direction of propagation exists. For many years, EHG measurements have been investigated for the purpose of quantifying uterine activity. Despite this, only a few studies have used two-dimensional measurements to examine the propagation characteristics of EHG signals. , , 
The estimated velocities are comparable to those reported in other EHG studies , ,  but with a smaller intra- and inter-patient variation. While other studies report that the estimated velocities are within the physiological expected range, we must stress the fact that, to our knowledge, no previous studies have measured the propagation velocity of electrical signals directly on the human myometrium. These measurements have been performed in several animal studies, ,  but it is uncertain whether these results apply to humans since significant inter-species differences are observed . Nonetheless, the estimated velocities are all within the region previously reported in animal studies and, as such, does not give any reason to question the results.
The results show that no single preferred direction of propagation was found. This corresponds with the results reported from other similar studies, ,  and emphasizes the need for a two-dimensional measuring grid when making estimations of the propagation velocity. When divided into four quadrants, the variations in occurrence of each direction are small as seen in figure 6. The results show that contractions can originate in different parts of the uterus.
Although no single preferred direction of propagation could be identified we did, however, find a seemingly coordinated propagation direction for each contraction in two of the patients. Even though this could potentially be a coincidence it could also be a sign of some sort of coordination of the pacemaking in the uterus. It remains unclear, however, why this coordination is only experienced in two of the six patients (#1 and #6), and it does not seem to be related to the time elapsed between measurement and delivery. This will need to be investigated further.
The mechanisms controlling contraction and relaxation of the uterine muscle cells are today well described. The physiological mechanisms governing generation and propagation of action potentials are, however, not fully understood. For many years the general consent in obstetric textbooks has been that contractions originate in the upper corner of the uterus and propagate downward. ,  This idea is, however, based on a single publication from 1952.  Some early EHG studies supported the notion of a preferential downwards propagation of the electrical activity in the uterus during active labor. ,  This supports the notion that there may be general pacemaker regions later in gestation. This theory is disputed by recent EHG studies, showing seemingly random directions of propagation indicating that a contraction can originate in many different areas of the uterus. , 
Over the recent decades, scientists have identified a type of cells, named interstitial cells of Cajal, which serve as pacemakers for the peristaltic movement of the smooth muscle cells in the gastrointestinal tract.  This has led to attempts to find similar cells that act as pacemakers for the human uterus. Myometrial Cajal-like interstitial cells have been identified, but there have been conflicting results as to whether they exhibit spontaneous electrical activity. One study did not find any evidence for a pacemaking role, suggesting that the spontaneous electrical behavior of the myometrium is an inherent property of the smooth muscle cells in the human uterus.  In contrast, another study did find spontaneous electrical activity in myometrial Cajal-like interstitial cells.  Thus, it remains unclear which cells are responsible for the initiation of contractions, and whether or not any specific pacemaking regions exist. The origin of a contraction can therefore not be predicted. Similarly, the direction of propagation is not known beforehand since the propagation of signals in smooth muscle is not necessarily along the fiber orientation as is the case in skeletal muscle. Additional knowledge about the origin and propagation direction of the electrical activity could provide further insight into the complex physiological mechanisms that control the generation and propagation of contractions.
One of the challenges within this field is the fact that many of the underlying physiological processes are not fully understood. It is not known why and how a contraction is initiated, and there is still no clear description of how a contraction spreads across the uterus. We believe that the key to making accurate contraction assessments with the use of EHG is a more detailed knowledge of the underlying physiological mechanisms governing uterine signal propagation. If these were fully described, a more certain interpretation of the EHG signals would be possible.
In future research studies it should be investigated if a significant difference in conduction velocity can be identified between labor contractions and Braxton Hicks contractions optimally enabling a clinically usable method for predicting preterm labor. It should also be examined if the coordination of the contraction direction from contraction to contraction can be used as an indicator for preterm delivery.
Conceived and designed the experiments: LL AV PK EM NU PJ. Performed the experiments: LL AV NU. Analyzed the data: LL AV PK PJ. Wrote the paper: LL AV.
- 1. Challis JR, Lye SJ, Gibb W, Whittle W, Patel F, et al. (2001) Understanding preterm labor. Ann N Y Acad Sci 943: 225–234.
- 2. Repka MX (2002) Ophthalmological problems of the premature infant. Ment Retard Dev Disabil Res Rev 8: 249–257.
- 3. Denney JM, Culhane JF, Goldenberg RL (2008) Prevention of preterm birth. Womens Health (Lond Engl) 4: 625–638.
- 4. Martin JA, Hamilton BE, Ventura SJ, Osterman MJ, Kirmeyer S, et al. (2011) Births: Final data for 2009. Natl Vital Stat Rep 60: 1–70.
- 5. Beck S, Wojdyla D, Say L, Betran AP, Merialdi M, et al. (2010) The worldwide incidence of preterm birth: A systematic review of maternal mortality and morbidity. Bull World Health Organ 88: 31–38.
- 6. Goldenberg RL (2002) The management of preterm labor. Obstet Gynecol 100: 1020–1037.
- 7. Owen J, Hankins G, Iams JD, Berghella V, Sheffield JS, et al. (2009) Multicenter randomized trial of cerclage for preterm birth prevention in high-risk women with shortened midtrimester cervical length. Am J Obstet Gynecol 201: 375.e1–375.e8.
- 8. Schlembach D, Maner WL, Garfield RE, Maul H (2009) Monitoring the progress of pregnancy and labor using electromyography. Eur J Obstet Gynecol Reprod Biol 144 Suppl 1S33–9.
- 9. Vanner T, Gardosi J (1996) Intrapartum assessment of uterine activity. Baillieres Clin Obstet Gynaecol 10: 243–257.
- 10. Jacod BC, Graatsma EM, Van Hagen E, Visser GH (2010) A validation of electrohysterography for uterine activity monitoring during labour. J Matern Fetal Neonatal Med 23: 17–22.
- 11. Reinhard J, Hayes-Gill BR, Schiermeier S, Loser H, Niedballa LM, et al. (2011) Uterine activity monitoring during labour–a multi-centre, blinded two-way trial of external tocodynamometry against electrohysterography. Z Geburtshilfe Neonatol 215: 199–204.
- 12. Haran G, Elbaz M, Fejgin MD, Biron-Shental T (2012) A comparison of surface acquired uterine electromyography and intrauterine pressure catheter to assess uterine activity. Am J Obstet Gynecol 206: 412.e1–412.e5.
- 13. Garfield RE, Maner WL, MacKay LB, Schlembach D, Saade GR (2005) Comparing uterine electromyography activity of antepartum patients versus term labor patients. Am J Obstet Gynecol 193: 23–29.
- 14. Leman H, Marque C, Gondry J (1999) Use of the electrohysterogram signal for characterization of contractions during pregnancy. IEEE Trans Biomed Eng 46: 1222–1229.
- 15. Maner WL, Garfield RE, Maul H, Olson G, Saade G (2003) Predicting term and preterm delivery with transabdominal uterine electromyography. Obstet Gynecol 101: 1254–1260.
- 16. Marque CK, Terrien J, Rihana S, Germain G (2007) Preterm labour detection by use of a biophysical marker: The uterine electrical activity. BMC Pregnancy Childbirth 7 Suppl 1S5.
- 17. Lucovnik M, Maner WL, Chambliss LR, Blumrick R, Balducci J, et al. (2011) Noninvasive uterine electromyography for prediction of preterm delivery. Am J Obstet Gynecol 204: 228.e1–228.10.
- 18. Vinken MP, Rabotti C, Mischi M, Oei SG (2009) Accuracy of frequency-related parameters of the electrohysterogram for predicting preterm delivery: A review of the literature. Obstet Gynecol Surv 64: 529–541.
- 19. Lucovnik M, Kuon RJ, Chambliss LR, Maner WL, Shi SQ, et al. (2011) Use of uterine electromyography to diagnose term and preterm labor. Acta Obstet Gynecol Scand 90: 150–157.
- 20. Miller SM, Garfield RE, Daniel EE (1989) Improved propagation in myometrium associated with gap junctions during parturition. Am J Physiol 256: C130–41.
- 21. Kilarski WM, Severs NJ, Gourdie RG, Rezapour M, Backstrom T, et al. (1993) Gap junction density in human myometrium at term revealed by an anti-peptide antibody and laser scanning confocal microscopy. Folia Histochem Cytobiol 31: 155–160.
- 22. Rabotti C, Bijloo R, Oei G, Mischi M (2011) Vectorial analysis of the electrohysterogram for prediction of preterm delivery: A preliminary study. Conf Proc IEEE Eng Med Biol Soc 2011: 3880–3883.
- 23. Rabotti C, Mischi M, Oei SG, Bergmans JW (2010) Noninvasive estimation of the electrohysterographic action-potential conduction velocity. IEEE Trans Biomed Eng 57: 2178–2187.
- 24. Bailey JJ (2004) The triangular wave test for electrocardiographic devices: A historical perspective. J Electrocardiol 37 Suppl: 71–73
- 25. Buhimschi C, Boyle MB, Garfield RE (1997) Electrical activity of the human uterus during pregnancy as recorded from the abdominal surface. Obstet Gynecol 90: 102–111.
- 26. Rabotti C, Mischi M, van Laar JO, Oei GS, Bergmans JW (2009) Inter-electrode delay estimators for electrohysterographic propagation analysis. Physiol Meas 30: 745–761.
- 27. Rabotti C, Mischi M, Beulen L, Oei G, Bergmans JW (2010) Modeling and identification of the electrohysterographic volume conductor by high-density electrodes. IEEE Trans Biomed Eng 57: 519–527.
- 28. Lagarias JC, Reeds JA, Wright MH, Wright PE (1998) Convergence properties of the nelder–mead simplex method in low dimensions. SIAM Journal on Optimization 9: 112–36.
- 29. Euliano TY, Marossero D, Nguyen MT, Euliano NR, Principe J, et al. (2009) Spatiotemporal electrohysterography patterns in normal and arrested labor. Am J Obstet Gynecol 200: 54.e1–54.e7.
- 30. Mikkelsen E, Johansen P, Fuglsang-Frederiksen A, Uldbjerg N (2013) Electrohysterography of labor contractions: Propagation velocity and direction. Acta Obstet Gynecol Scand 92: 1070–1078.
- 31. Lammers WJ, Mirghani H, Stephen B, Dhanasekaran S, Wahab A, et al. (2008) Patterns of electrical propagation in the intact pregnant guinea pig uterus. Am J Physiol Regul Integr Comp Physiol 294: R919–28.
- 32. Wolfs GM, van Leeuwen M. (1979) Electromyographic observations on the human uterus during labour. Acta Obstet Gynecol Scand Suppl 90: 1–61.
- 33. Coad J, Dunstall M, editors. (2001) Anatomy and physiology for midwives.: Harcourt Publishers.
- 34. Danforth DN, editor. (1977) Obstetrics and gynecology.: Harper and Row Publishers.
- 35. Caldeyro-Barcia R, Alvarez H (1952) Abnormal uterine action in labour. J Obstet Gynaecol Br Emp 59: 646–656.
- 36. Wolfs G, Rottinghuis H (1970) Electrical and mechanical activity of the human uterus during labour. Archiv für Gynäkologie 208: 373–385.
- 37. Planes JG, Morucci JP, Grandjean H, Favretto R (1984) External recording and processing of fast electrical activity of the uterus in human parturition. Med Biol Eng Comput 22: 585–591.
- 38. Thomsen L, Robinson TL, Lee JC, Farraway LA, Hughes MJ, et al. (1998) Interstitial cells of cajal generate a rhythmic pacemaker current. Nat Med 4: 848–851.
- 39. Duquette RA, Shmygol A, Vaillant C, Mobasheri A, Pope M, et al. (2005) Vimentin-positive, c-kit-negative interstitial cells in human and rat uterus: A role in pacemaking? Biol Reprod 72: 276–283.
- 40. Ciontea SM, Radu E, Regalia T, Ceafalan L, Cretoiu D, et al. (2005) C-kit immunopositive interstitial cells (cajal-type) in human myometrium. J Cell Mol Med 9: 407–420.