Mathematical tools for identifying the fetal response to physical exercise during pregnancy

In the applied mathematics literature there exist a significant number of tools that can reveal the interaction between mother and fetus during rest and also during and after exercise. These tools are based on techniques from a number of areas such as signal processing, time series analysis, neural networks, heart rate variability as well as dynamical systems and chaos. We will briefly review here some of these methods, concentrating on a method of extracting the fetal heart rate from the mixed maternal-fetal heart rate signal, that is based on phase space reconstructio

Acute maternal exercise during the third trimester of pregnancy, influence on foetal heart rate = Ejercicio físico durante el tercer trimestre de embarazo, influencia en la frecuencia cardiaca fetal

A substantial amount of research has investigated the influence of physical exercise during pregnancy on certain maternal and foetal parameters. Regarding the behaviour of the foetal heart rate (FHR) during the maternal exercise certain controversy exists; as several investigations have studied this parameter obtaining varied results. To test the hypotheses that the foetal heart rate (FHR) increases during maternal exercise, performed on a static bicycle during the third trimester. To know if the magnitude of the increase is related to gestational age or parity. This research involved a collaboration with the Gynaecology and Obstetrics Service of “Severo Ochoa” Hospital (Madrid) and Universidad Politécnica de Madrid (UPM). The approval of the Committee of Investigation as well as of the Ethical Commission of the Hospital was obtained. Twenty healthy pregnant women have been studied, in the last trimester. No women showed any medical complications in their pregnancy or contraindications for the practice of physical exercise. Informed consent was obtained. The exercise protocol consisted in the first part (rest), followed by a session of 20 minutes of moderate work (static bicycle exercise) and then rest until the FHR returned to the pre-exercise levels. Data for the evaluation of the FHR was obtained using an Electronic Foetal Monitor, Philips FM 20; and an Accurex Plus, Polar Electro OY was used for the control of the maternal heart rate. The clinical history of the pregnant women provided data about medical and personal factors. For the statistical analysis, Pearson correlation and Student’s t test for unpaired data were used. Our results show increases (11 - 36 beats/min, mean= 24 beats/min) of the FHR in all the studied cases. The gestational age shows no correlation with increments of FHR (Pearson 0.06) and there are larger increments of FHR in secundigravid (mean=152 ± 6.0 beats/min) than in primigravid (mean=147 ± 4.6 beats/min). Maternal aerobic and moderate exercise developing during last trimester increments FHR without harmful effects. These increments do not depend on the maternal age. Parity has influence on the level of increments of the FHR. Una cantidad importante de investigaciones han valorado la influencia del ejercicio físico durante el embarazo en ciertos parámetros fetales. En relación al comportamiento de la frecuencia cardiaca fetal (FCF) durante la realización del ejercicio existe cierta controversia, muchas investigaciones han estudiado este parámetro con resultados variados. El objetivo de este estudio fue comprobar la hipótesis de un aumento de la FCF durante la realización de ejercicio en bicicleta estática en el tercer trimestre de embarazo. También conocer si esos aumentos se relacionan con la edad gestacional o la paridad de la gestante. Este estudio se ha desarrollado mediante una colaboración entre el Servicio de Ginecología y Obstetricia del Hospital Severo Ochoa de Leganés y la Universidad Politécnica de Madrid. Se obtuvo la aprobación del Comité de Investigación así como de la Comisión Ética. Fueron estudiadas 20 gestantes en el último trimestre, sin complicaciones ni contraindicaciones médicas para el ejercicio, cada mujer firmó un consentimiento informado. El protocolo de ejercicio consistió en una primera parte de reposo, una sesión de 20 minutos de trabajo moderado en bicicleta estática y el reposo final con retorno a los niveles normales de FCF. Los datos correspondientes a la FCF se obtuvieron por medio de un Monitor Fetal Electrónico Philips FM 20, y un pulsómetro Accurex Plus, Polar Electro OY, fue usado para el control de la frecuencia cardiaca materna. La historia clínica de cada gestante aportó datos relativos a características médicas y personales. Para el análisis estadístico se utilizaron mecanismos descriptivos, el índice de correlación de Pearson y la t de Student para comparación de medias. Nuestros resultados muestran aumentos de la FCF de 11-36 lat/min (media de 24 lat/min). Los días de gestación no presentaron una correlación positiva con el nivel de los incrementos (Pearson 0.06). Hubo mayores aumentos en gestantes secundigrávidas (media=152 ± 6.0 lat/min) que en primigrávidas (media=147 ± 4.6 lat/min). El ejercicio aeróbico y moderado materno desarrollado durante el tercer trimestre de embarazo incrementa la FCF sin efectos perjudiciales. Los aumentos no dependen de la edad gestacional de la madre. La paridad de la gestante tiene influencia en el nivel de los incrementos

A model of heart rate kinetics in response to exercise

We present a mathematical model, in the form of two coupled ordinary differential equations, for the heart rate kinetics in response to exercise. Our heart rate model is an adaptation of the model of oxygen uptake kinetics of Stirling: a physiological justification for this adaptation, as well as the physiological basis of our heart rate model is provided. We also present the optimal fit of the heart rate model to a set of raw un averaged data for multiple constant intensity exercises for an individual at a particular level of fitness

Nuevo modelo para estudiar el equilibrio corporal

El equilibrio es una cuestión fundamental en áreas tales como la medicina, la fisioterapia o el entrenamiento deportivo. Investigadores del laboratorio “James Stirling” del INEF (Universidad Politécnica de Madrid) en colaboración con el Instituto de Ciencias Matemáticas (CSIC-UAM-UC3M-UCM) han desarrollado un modelo(1)(2) que, con pocos parámetros registrados, proporciona información importante acerca de las asimetrías y restricciones existentes en los patrones de movimiento del ser humano. Esta información es fundamental a la hora de, por ejemplo, establecer protocolos de corrección de desequilibrios posturales

Actividad física durante embarazo, su relación con la edad gestacional materna y el peso de nacimiento

Históricamente la relación entre la actividad física y el embarazo no ha estado completamente clara. La gran cantidad de estudios científicos no han producido suficientes hallazgos que otorguen información clara y concreta sobre la dosis adecuada de ejercicio durante la gestación. El presente trabajo pretende conocer la relación entre los hábitos de actividad física durante el embarazo y la edad gestacional materna al momento del parto, así como el peso del recién nacido. Se ha utilizado un estudio de tipo transversal, de casos y controles, retrospectivo, 473 mujeres del área de Madrid han sido entrevistadas, edad entre 17 y 41 años, (media= 31,9±4). Todas ellas caucásicas y de origen hispano. Nuestros resultados muestran en el grupo de casos una edad gestacional similar (273±9,1 días) al de control (278±9,5), y recién nacidos con pesos inferiores (3171±443) que las que no desarrollan ningún tipo de actividad física regular o programada (3289±583) (p=0,01). El ejercicio físico desarrollado durante el embarazo reduce aparentemente el peso del recién nacido y no tiene influencia en la edad gestacional matern

Validation of a Dumbbell Body Sway Test in Olympic Air Pistol Shooting

We present and validate a test able to provide reliable body sway measurements in air pistol shooting, without the use of a gun. 46 senior male pistol shooters who participated in Spanish air pistol championships participated in the study. Body sway data of two static bipodal balance tests have been compared: during the first test, shooting was simulated by use of a dumbbell, while during the second test the shooters own pistol was used. Both tests were performed the day previous to the competition, during the official training time and at the training stands to simulate competition conditions. The participants performance was determined as the total score of 60 shots at competition. Apart from the commonly used variables that refer to movements of the shooters centre of pressure (COP), such as COP displacements on the X and Y axes, maximum and average COP velocities and total COP area, the present analysis also included variables that provide information regarding the axes of the COP ellipse (length and angle in respect to X). A strong statistically significant correlation between the two tests was found (with an interclass correlation varying between 0.59 and 0.92). A statistically significant inverse linear correlation was also found between performance and COP movements. The study concludes that dumbbell tests are perfectly valid for measuring body sway by simulating pistol shooting

Modelling the basin of attraction as a two-dimensional manifold from experimental data: applications to balance in humans

We present a method of modeling the basin of attraction as a three-dimensional function describing a two-dimensional manifold on which the dynamics of the system evolves from experimental time series data. Our method is based on the density of the data set and uses numerical optimization and data modeling tools. We also show how to obtain analytic curves that describe both the contours and the boundary of the basin. Our method is applied to the problem of regaining balance after perturbation from quiet vertical stance using data of an elite athlete. Our method goes beyond the statistical description of the experimental data, providing a function that describes the shape of the basin of attraction. To test its robustness, our method has also been applied to two different data sets of a second subject and no significant differences were found between the contours of the calculated basin of attraction for the different data sets. The proposed method has many uses in a wide variety of areas, not just human balance for which there are many applications in medicine, rehabilitation, and spor

Outstanding performances during elite-standard short and middle-distance finals and the hyperandrogenism regulation—A detailed analysis of Caster Semenya’s results

Recently, there has been much controversy over the International Association of Athletics Federation (IAAF) regulations regarding eligibility to compete and natural testosterone levels in female athletes. Much interest lies in the analysis of Caster Semenya's extraordinary performance. The objective of this work were, a) Complete an analysis of Caster Semenya's results during the 800m finals and b) search for existing similar performances by other female athletes. We analysed the results of the finals of all IAAF World Championships and Olympic Games from 1984–2016, including the 800m results of the Diamond Leagues 2016–2018. Exponential curves were fit to the data to characterise and predict performance for each event. Caster Semenya's finishing times before her ineligibility to compete and after the suspension of the IAAF hyperandrogenism regulation were found to be 1.24% and 1.49%, respectively, faster than the characteristic performance of the elite-standard in the women’s 800m final. Other female athletes, with finishing times faster than the ones predicted by the characteristic curves were also discovered. The percentage difference in performance between Caster Semenya and the other participants did not reach 3% in the 800m event. No conclusions can be drawn regarding extraordinary results ever performed during the 100m, 200m or 400m finals.This work was partially supported by Athletics South Africa [No number].3.337 JCR (2020) Q2, 30/88 Sport Sciences1.208 SJR (2020) Q1, 47/288 Orthopedics and Sports MedicineNo data IDR 2020UE

Effort distribution analysis for the 800 m race: IAAF World Athletics Championships, London 2017 and Birmingham 2018

Study aim: To analyse the distribution of effort in the 800 m event at the IAAF World Athletics Championships in London 2017 (outdoor, 44 men, 45 women) and in Birmingham 2018 (indoor, 9 men, 14 women). Material and methods: A total of 187 individual performances during heats, semi-finals, and finals were analysed. The official split times of each athlete every 100 m were taken as reference for the analysis of: times; percentages of times in regard to the final time; speed; changes in position during the races; percentage deviations in terms of the average time per race per section of 100, 200 and 400 m. Results: There are different strategies used in the elite 800m race that are related to sex differences, the management of energy consumption and the differences and similarities between indoor and outdoor races. Conclusions: Although diverse pacing strategies exist, more balanced strategies, after a fast start, have better results.Sin financiaciónNo data JCR 20200.200 SJR (2020) Q4, 227/288 Orthopedics and Sports MedicineNo data IDR 2020UE

Finger Flexor Force Influences Performance in Senior Male Air Pistol Olympic Shooting

The ability to stabilize the gun is crucial for performance in Olympic pistol shooting and is thought to be related to the shooters muscular strength. The present study examines the relation between performance and finger flexor force as well as shoulder abduction isometric force in senior male air pistol shooting. 46 Spanish national level shooters served as test subjects of the study. Two maximal force tests were carried out recording handgrip and deltoid force data under competition conditions, during the official training time at national Spanish championships. Performance was measured as the total score of 60 shots at competition. Linear regressions were calculated to examine the relations between performance and peak and average finger flexor forces, peak and average finger flexor forces relative to the BMI, peak and average shoulder abduction isometric forces, peak shoulder abduction isometric force relative to the BMI. The connection between performance and other variables such as age, weight, height, BMI, experience in years and training hours per week was also analyzed. Significant correlations were found between performance at competition and average and peak finger flexor forces. For the rest of the force variables no significant correlations were found. Significant correlations were also found between performance at competition and experience as well as training hours. No significant correlations were found between performance and age, weight, height or BMI. The study concludes that hand grip strength training programs are necessary for performance in air pistol shooting