@incollection{FrotscherGossmannRaatschenetal.2015,
  author    = {Frotscher, Ralf and Goßmann, Matthias and Raatschen, Hans-J{\"u}rgen and Temiz Artmann, Ayseg{\"u}l and Staat, Manfred},
  title     = {Simulation of cardiac cell-seeded membranes using the edge-based smoothed FEM},
  series = {Shell and membrane theories in mechanics and biology. (Advanced structured materials ; 45)},
  booktitle = {Shell and membrane theories in mechanics and biology. (Advanced structured materials ; 45)},
  publisher = {Springer},
  address   = {Heidelberg},
  isbn      = {978-3-319-02534-6 ; 978-3-319-02535-3},
  pages     = {187 -- 212},
  year      = {2015},
  abstract  = {We present an electromechanically coupled Finite Element model for cardiac tissue. It bases on the mechanical model for cardiac tissue of Hunter et al. that we couple to the McAllister-Noble-Tsien electrophysiological model of purkinje fibre cells. The corresponding system of ordinary differential equations is implemented on the level of the constitutive equations in a geometrically and physically nonlinear version of the so-called edge-based smoothed FEM for plates. Mechanical material parameters are determined from our own pressure-deflection experimental setup. The main purpose of the model is to further examine the experimental results not only on mechanical but also on electrophysiological level down to ion channel gates. Moreover, we present first drug treatment simulations and validate the model with respect to the experiments.},
  language  = {en}
}
@incollection{FrotscherStaat2018,
  author    = {Frotscher, Ralf and Staat, Manfred},
  title     = {Towards Patient-Specific Computational Modeling of hiPS-Derived Cardiomyocyte Function and Drug Action},
  series = {Biological, Physical and Technical Basics of Cell Engineering},
  booktitle = {Biological, Physical and Technical Basics of Cell Engineering},
  editor    = {Artmann, Gerhard and Temiz Artmann, Ayseg{\"u}l and Zhubanova, Azhar A. and Digel, Ilya},
  publisher = {Springer},
  address   = {Singapore},
  isbn      = {978-981-10-7904-7},
  doi       = {10.1007/978-981-10-7904-7_10},
  pages     = {233 -- 250},
  year      = {2018},
  abstract  = {Human-induced pluripotent stem cell-derived cardiomyocytes (hiPS-CM) today are widely used for the investigation of normal electromechanical cardiac function, of cardiac medication and of mutations. Computational models are thus established that simulate the behavior of this kind of cells. This section first motivates the modeling of hiPS-CM and then presents and discusses several modeling approaches of microscopic and macroscopic constituents of human-induced pluripotent stem cell-derived and mature human cardiac tissue. The focus is led on the mapping of the computational results one can achieve with these models onto mature human cardiomyocyte models, the latter being the real matter of interest. Model adaptivity is the key feature that is discussed because it opens the way for modeling various biological effects like biological variability, medication, mutation and phenotypical expression. We compare the computational with experimental results with respect to normal cardiac function and with respect to inotropic and chronotropic drug effects. The section closes with a discussion on the status quo of the specificity of computational models and on what challenges have to be solved to reach patient-specificity.},
  language  = {en}
}
@incollection{TranStaat2015,
  author    = {Tran, Thanh Ngoc and Staat, Manfred},
  title     = {Uncertainty multimode failure and shakedown analysis of shells},
  series = {Direct methods for limit and shakedown analysis of structures / eds. Paolo Fuschi ...},
  booktitle = {Direct methods for limit and shakedown analysis of structures / eds. Paolo Fuschi ...},
  publisher = {Springer},
  address   = {Cham},
  isbn      = {978-3-319-12927-3 (print) ; 978-3-319-12928-0 (online)},
  doi       = {10.1007/978-3-319-12928-0_14},
  pages     = {279 -- 298},
  year      = {2015},
  abstract  = {This paper presents a numerical procedure for reliability analysis of thin plates and shells with respect to plastic collapse or to inadaptation. The procedure involves a deterministic shakedown analysis for each probabilistic iteration, which is based on the upper bound approach and the use of the exact Ilyushin yield surface. Probabilistic shakedown analysis deals with uncertainties originated from the loads, material strength and thickness of the shell. Based on a direct definition of the limit state function, the calculation of the failure probability may be efficiently solved by using the First and Second Order Reliability Methods (FORM and SORM). The problem of reliability of structural systems (series systems) is handled by the application of a special technique which permits to find all the design points corresponding to all the failure modes. Studies show, in this case, that it improves considerably the FORM and SORM results.},
  language  = {en}
}