University Grenoble Alpes, Grenoble, France, CEA, LETI, MINATEC Campus, Grenoble, France, CARMEN INSERM U1060, Université de Lyon 1, INRA U1235, CRNH-Rhône-Alpes, Lyon, France, Department of Diabetes and Endocrinology, Centre Hospitalier Sud-Francilien, Corbeil-Essones, France, Centre d'Etudes et de Recherche pour l'Intensification du Traitement du Diabète (CERITD), Corbeil-Essonnes, France, Diabeloop SAS, 155 Cours Berriat, Grenoble, France

Objective: Activity energy expenditure (EE) plays an important role in healthcare, therefore, accurate EE measures are required. Currently available reference EE acquisition methods, such as doubly labeled water and indirect calorimetry, are complex, expensive, uncomfortable, and/or difficult to apply on real time. To overcome these drawbacks, the goal of this paper is to propose a model for computing EE in real time (minute-by-minute) from heart rate and accelerometer signals. Approach: The proposed model, which consists of an original branched model, uses heart rate signals for computing EE on moderate to vigorous physical activities and a linear combination of heart rate and counts per minute for computing EE on light to moderate physical activities. Model parameters were estimated from a given data set composed of 53 subjects performing 25 different physical activities (light-, moderate- and vigorous-intensity), and validated using leave-one-subject-out. A different database (semi-controlled in-city circuit), was used in order to validate the versatility of the proposed model. Comparisons are done versus linear and nonlinear models, which are also used for computing EE from accelerometer and/or HR signals. Main results: The proposed piecewise model leads to more accurate EE estimations (, and J kg-1 min-1 and , , and J kg-1 min-1 on each validation database). Significance: This original approach, which is more conformable and less expensive than the reference methods, allows accurate EE estimations, in real time (minute-by-minute), during a large variety of physical activities. Therefore, this model may be used on applications such as computing the time that a given subject spent on light-intensity physical activities and on moderate to vigorous physical activities (binary classification accuracy of 0.8155). © 2017 Institute of Physics and Engineering in Medicine.

accelerometers, activity energy expenditure, heart rate, piecewise model