<> "The repository administrator has not yet configured an RDF license."^^ . <> . . "Mathematical modeling, simulation, and optimization of loading schemes for isometric resistance training"^^ . "In this thesis, we present a novel mathematical model-based approach to optimize loading schemes of isometric resistance training (RT) sessions for different training goals. To this end, we develop a nonlinear ordinary differential equation model of the time course of maximum voluntary isometric (MVIC) force under external isometric loading. To validate the model, we set up multi-experiment parameter estimation problems using a comprehensive dataset from the literature. We solve these problems numerically via direct multiple shooting and the generalized Gauss-Newton method. Moreover, we use the proposed model to examine hypotheses about fatigue and recovery of MVIC force. Then, we mathematically formulate key performance indicators and optimality criteria for loading schemes of isometric RT sessions identified in sports science and incorporate these into multi-stage optimal control problems. We solve these problems numerically via direct multiple shooting and structure-exploiting sequential quadratic programming. We discuss the results from a numerical and sports scientific point of view. Based on the proposed model, we additionally formulate the estimation of critical torque as a nonlinear program. This allows us to reduce the experimental effort compared to conventional testing when estimating these quantities. Furthermore, we formulate multi-stage optimum experimental design problems to reduce the statistical uncertainty of the parameter estimates when calibrating the model. We solve these problems numerically via direct single shooting and sequential quadratic programming. We discuss the solutions from a numerical and physiological point of view. For our approach, a small amount of data obtained in a single testing session is sufficient. Our approach can be extended to more elaborate physiological models and other forms of resistance training once suitable models become available."^^ . "2021" . . . . . . . "Johannes L."^^ . "Herold"^^ . "Johannes L. Herold"^^ . . . . . . "Mathematical modeling, simulation, and optimization of loading schemes for isometric resistance training (PDF)"^^ . . . "diss_jherold.pdf"^^ . . . "Mathematical modeling, simulation, and optimization of loading schemes for isometric resistance training (Other)"^^ . . . . . . "indexcodes.txt"^^ . . . "Mathematical modeling, simulation, and optimization of loading schemes for isometric resistance training (Other)"^^ . . . . . . "lightbox.jpg"^^ . . . "Mathematical modeling, simulation, and optimization of loading schemes for isometric resistance training (Other)"^^ . . . . . . "preview.jpg"^^ . . . "Mathematical modeling, simulation, and optimization of loading schemes for isometric resistance training (Other)"^^ . . . . . . "medium.jpg"^^ . . . "Mathematical modeling, simulation, and optimization of loading schemes for isometric resistance training (Other)"^^ . . . . . . "small.jpg"^^ . . "HTML Summary of #29542 \n\nMathematical modeling, simulation, and optimization of loading schemes for isometric resistance training\n\n" . "text/html" . . . "500 Naturwissenschaften und Mathematik"@de . "500 Natural sciences and mathematics"@en . . . "510 Mathematik"@de . "510 Mathematics"@en . .