Journal: Computational and Mathematical Methods in Medicine
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Abbreviation
Comput. math. methods med.
Publisher
Taylor & Francis
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- Review of Modelling Techniques for In Vivo Muscle Force Estimation in the Lower Extremities during Strength TrainingItem type: Review Article
Computational and Mathematical Methods in MedicineLorenzetti, Silvio; Schellenberg, Florian; Oberhofer, Katja; et al. (2015)Background. Knowledge of the musculoskeletal loading conditions during strength training is essential for performance monitoring, injury prevention, rehabilitation, and training design. However, measuring muscle forces during exercise performance as a primary determinant of training efficacy and safety has remained challenging. Methods. In this paper we review existing computational techniques to determine muscle forces in the lower limbs during strength exercises in vivo and discuss their potential for uptake into sports training and rehabilitation. Results. Muscle forces during exercise performance have almost exclusively been analysed using so-called forward dynamics simulations, inverse dynamics techniques, or alternative methods. Musculoskeletal models based on forward dynamics analyses have led to considerable new insights into muscular coordination, strength, and power during dynamic ballistic movement activities, resulting in, for example, improved techniques for optimal performance of the squat jump, while quasi-static inverse dynamics optimisation and EMG-driven modelling have helped to provide an understanding of low-speed exercises. Conclusion. The present review introduces the different computational techniques and outlines their advantages and disadvantages for the informed usage by nonexperts. With sufficient validation and widespread application, muscle force calculations during strength exercises in vivo are expected to provide biomechanically based evidence for clinicians and therapists to evaluate and improve training guidelines. - The MATCHIT Automaton: Exploiting Compartmentalization for the Synthesis of Branched PolymersItem type: Journal Article
Computational and Mathematical Methods in MedicineWeyland, Mathias S.; Fellermann, Harold; Hadorn, Maik; et al. (2013)We propose an automaton, a theoretical framework that demonstrates how to improve the yield of the synthesis of branched chemical polymer reactions. This is achieved by separating substeps of the path of synthesis into compartments. We use chemical containers (chemtainers) to carry the substances through a sequence of fixed successive compartments. We describe the automaton in mathematical terms and show how it can be configured automatically in order to synthesize a given branched polymer target. The algorithm we present finds an optimal path of synthesis in linear time. We discuss how the automaton models compartmentalized structures found in cells, such as the endoplasmic reticulum and the Golgi apparatus, and we show how this compartmentalization can be exploited for the synthesis of branched polymers such as oligosaccharides. Lastly, we show examples of artificial branched polymers and discuss how the automaton can be configured to synthesize them with maximal yield. - Mathematical Methods and Applications in Medical ImagingItem type: Journal Article
Computational and Mathematical Methods in MedicineLi, Liang; Niu, Tianye; Cho, Seungryong; et al. (2014)
Publications 1 - 3 of 3