@article{StaeudleSeynnesLapsetal.2022,
  author    = {St{\"a}udle, Benjamin and Seynnes, Olivier and Laps, Guido and Br{\"u}ggemann, Gert-Peter and Albracht, Kirsten},
  title     = {Altered gastrocnemius contractile behavior in former achilles tendon rupture patients during walking},
  series = {Frontiers in Physiology},
  volume    = {13},
  journal   = {Frontiers in Physiology},
  publisher = {Frontiers Research Foundation},
  address   = {Lausanne},
  issn      = {1664-042X},
  doi       = {10.3389/fphys.2022.792576},
  pages     = {12 Seiten},
  year      = {2022},
  abstract  = {Achilles tendon rupture (ATR) remains associated with functional limitations years after injury. Architectural remodeling of the gastrocnemius medialis (GM) muscle is typically observed in the affected leg and may compensate force deficits caused by a longer tendon. Yet patients seem to retain functional limitations during—low-force—walking gait. To explore the potential limits imposed by the remodeled GM muscle-tendon unit (MTU) on walking gait, we examined the contractile behavior of muscle fascicles during the stance phase. In a cross-sectional design, we studied nine former patients (males; age: 45 ± 9 years; height: 180 ± 7 cm; weight: 83 ± 6 kg) with a history of complete unilateral ATR, approximately 4 years post-surgery. Using ultrasonography, GM tendon morphology, muscle architecture at rest, and fascicular behavior were assessed during walking at 1.5 m⋅s-1 on a treadmill. Walking patterns were recorded with a motion capture system. The unaffected leg served as control. Lower limbs kinematics were largely similar between legs during walking. Typical features of ATR-related MTU remodeling were observed during the stance sub-phases corresponding to series elastic element (SEE) lengthening (energy storage) and SEE shortening (energy release), with shorter GM fascicles (36 and 36\%, respectively) and greater pennation angles (8° and 12°, respectively). However, relative to the optimal fascicle length for force production, fascicles operated at comparable length in both legs. Similarly, when expressed relative to optimal fascicle length, fascicle contraction velocity was not different between sides, except at the time-point of peak series elastic element (SEE) length, where it was 39 ± 49\% lower in the affected leg. Concomitantly, fascicles rotation during contraction was greater in the affected leg during the whole stance-phase, and architectural gear ratios (AGR) was larger during SEE lengthening. Under the present testing conditions, former ATR patients had recovered a relatively symmetrical walking gait pattern. Differences in seen AGR seem to accommodate the profound changes in MTU architecture, limiting the required fascicle shortening velocity. Overall, the contractile behavior of the GM fascicles does not restrict length- or velocity-dependent force potentials during this locomotor task.},
  language  = {en}
}
@article{StulpeSwat2001,
  author    = {Stulpe, Werner and Swat, Maciej},
  title     = {Quantum States as Probability Measures},
  series = {Foundations of Physics Letters. 14 (2001), H. 3},
  journal   = {Foundations of Physics Letters. 14 (2001), H. 3},
  isbn      = {1572-9524},
  pages     = {285 -- 293},
  year      = {2001},
  language  = {en}
}
@article{StulpeSinger1990,
  author    = {Stulpe, Werner and Singer, Matthias},
  title     = {Informational Incompleteness of the Observables Sx,Sy,Sz for Spin-1 Systems. Singer, Matthias; Stulpe, W.},
  series = {Foundations of Physics. 20 (1990), H. 4},
  journal   = {Foundations of Physics. 20 (1990), H. 4},
  isbn      = {1572-9516},
  pages     = {471 -- 472},
  year      = {1990},
  language  = {en}
}
@article{StulpeSinger1990,
  author    = {Stulpe, Werner and Singer, Matthias},
  title     = {Some Remarks on the Determination of Quantum States by Measurements},
  series = {Foundations of Physics Letters. 3 (1990), H. 2},
  journal   = {Foundations of Physics Letters. 3 (1990), H. 2},
  isbn      = {1572-9524},
  pages     = {153 -- 166},
  year      = {1990},
  language  = {en}
}
@article{StulpeSinger1992,
  author    = {Stulpe, Werner and Singer, Matthias},
  title     = {Phase-Space Representations of General Statistical Physical Theories. Singer, Matthias; Stulpe, Werner},
  series = {Journal of Mathematical Physics. 33 (1992), H. 1},
  journal   = {Journal of Mathematical Physics. 33 (1992), H. 1},
  isbn      = {1089-7658},
  pages     = {131 -- 142},
  year      = {1992},
  language  = {en}
}
@article{StulpeScholz2009,
  author    = {Stulpe, Werner and Scholz, Erhard},
  title     = {Hilbert Space / Scholz, Erhard ; Stulpe, Werner},
  series = {Compendium of Quantum Physics : concepts, experiments, history and philosophy / Daniel Greenberger ... ed.},
  journal   = {Compendium of Quantum Physics : concepts, experiments, history and philosophy / Daniel Greenberger ... ed.},
  publisher = {Springer},
  address   = {Berlin},
  isbn      = {978-3-540-70622-9},
  pages     = {291 -- 295},
  year      = {2009},
  language  = {en}
}
@article{StulpeRuch1998,
  author    = {Stulpe, Werner and Ruch, Ernst},
  title     = {Proof of the Mixing Theorem for Statistical Systems in Classical Physics. Ruch, Ernst; Stulpe, Werner},
  series = {Acta Applicandae Mathematicae. 53 (1998), H. 3},
  journal   = {Acta Applicandae Mathematicae. 53 (1998), H. 3},
  isbn      = {1572-9036},
  pages     = {329 -- 352},
  year      = {1998},
  language  = {en}
}
@article{StulpeHellwig1983,
  author    = {Stulpe, Werner and Hellwig, K.-E.},
  title     = {A Formulation of Quantum Stochastic Processes and Some of its Properties. Hellwig, K.-E.; Stulpe, W.},
  series = {Foundations of Physics. 13 (1983), H. 7},
  journal   = {Foundations of Physics. 13 (1983), H. 7},
  isbn      = {1572-9516},
  pages     = {673 -- 699},
  year      = {1983},
  language  = {en}
}
@article{StulpeHellwig1993,
  author    = {Stulpe, Werner and Hellwig, K.-E.},
  title     = {A Classical Reformulation of Finite-Dimensional Quantum Mechanics. Hellwig, K.-E.; Stulpe, W.},
  series = {Quantum measurement, irreversibility and the physics of information / Symposium on the Foundations of Modern Physics 1993, Cologne, Germany 1 - 5 June 1993. Ed. Paul Busch},
  journal   = {Quantum measurement, irreversibility and the physics of information / Symposium on the Foundations of Modern Physics 1993, Cologne, Germany 1 - 5 June 1993. Ed. Paul Busch},
  publisher = {World Scientific},
  address   = {Singapore [u.a.]},
  isbn      = {981021507X},
  pages     = {209 -- 214},
  year      = {1993},
  language  = {en}
}
@article{StulpeGudderHagler1988,
  author    = {Stulpe, Werner and Gudder, S. and Hagler, J.},
  title     = {An Uncertainty Relation for Joint Position-Momentum Measurements},
  series = {Foundations of Physics Letters. 1 (1988), H. 3},
  journal   = {Foundations of Physics Letters. 1 (1988), H. 3},
  isbn      = {1572-9524},
  pages     = {287 -- 292},
  year      = {1988},
  language  = {en}
}
@article{StulpeBusch2008,
  author    = {Stulpe, Werner and Busch, Paul},
  title     = {The structure of classical extensions of quantum probability theory},
  series = {Journal of Mathematical Physics. 49 (2008), H. 3},
  journal   = {Journal of Mathematical Physics. 49 (2008), H. 3},
  isbn      = {1089-7658},
  pages     = {1 -- 22},
  year      = {2008},
  language  = {en}
}
@article{StulpeBuschHellwig1993,
  author    = {Stulpe, Werner and Busch, P. and Hellwig, K.-E.},
  title     = {Classical Representations of Finite-Dimensional Quantum Mechanics. Busch, P.; Hellwig, K.-E.; Stulpe, W.},
  series = {International Journal of Theoretical Physics. 32 (1993), H. 3},
  journal   = {International Journal of Theoretical Physics. 32 (1993), H. 3},
  isbn      = {1572-9575},
  pages     = {399 -- 405},
  year      = {1993},
  language  = {en}
}
@article{StulpeBugajskiHellwig1998,
  author    = {Stulpe, Werner and Bugajski, S. and Hellwig, K.-E.},
  title     = {On Fuzzy Random Variables and Statistical Maps. Bugajski, S.; Hellwig, K.-E.; Stulpe, W.},
  series = {Reports on Mathematical Physics. 41 (1998), H. 1},
  journal   = {Reports on Mathematical Physics. 41 (1998), H. 1},
  isbn      = {0034-4877},
  pages     = {1 -- 11},
  year      = {1998},
  language  = {en}
}
@article{StulpeBjelakovic2005,
  author    = {Stulpe, Werner and Bjelakovic, Igor},
  title     = {The Projective Hilbert Space as a Classical Phase Space for Nonrelativistic Quantum Dynamics. Bjelakovic, Igor; Stulpe, Werner},
  series = {International Journal of Theoretical Physics. 44 (2005), H. 11},
  journal   = {International Journal of Theoretical Physics. 44 (2005), H. 11},
  isbn      = {1572-9575},
  pages     = {2041 -- 2049},
  year      = {2005},
  language  = {en}
}
@article{Stulpe1987,
  author    = {Stulpe, Werner},
  title     = {Conditional Expectations and Stochastic Processes in Quantum Probability},
  series = {Information complexity and control in quantum physics : proceedings of the 4. Internat. Seminar on Mathematical Theory of Dynamical Systems and Microphysics, Udine, Sept. 4 - 13, 1985 / ed. by A. Blaquiere ...},
  journal   = {Information complexity and control in quantum physics : proceedings of the 4. Internat. Seminar on Mathematical Theory of Dynamical Systems and Microphysics, Udine, Sept. 4 - 13, 1985 / ed. by A. Blaquiere ...},
  publisher = {Springer},
  address   = {Wien [u.a.]},
  isbn      = {3-211-81992-4},
  pages     = {223 -- 234},
  year      = {1987},
  language  = {en}
}
@article{Stulpe1988,
  author    = {Stulpe, Werner},
  title     = {Conditional Expectations, Conditional Distributions, and A Posteriori Ensembles in Generalized Probability Theory},
  series = {International Journal of Theoretical Physics. 27 (1988), H. 5},
  journal   = {International Journal of Theoretical Physics. 27 (1988), H. 5},
  isbn      = {1572-9575},
  pages     = {587 -- 611},
  year      = {1988},
  language  = {en}
}
@book{Stulpe1997,
  author    = {Stulpe, Werner},
  title     = {Classical Representations of Quantum Mechanics Related to Statistically Complete Observables},
  publisher = {Wissenschaft und Technik Verl.},
  address   = {Berlin},
  isbn      = {3-89685-438-0},
  pages     = {117 S. : graph. Darst.},
  year      = {1997},
  language  = {en}
}
@article{Stulpe1992,
  author    = {Stulpe, Werner},
  title     = {On the Representation of Quantum Mechanics on Phase Space},
  series = {International Journal of Theoretical Physics. 31 (1992), H. 9},
  journal   = {International Journal of Theoretical Physics. 31 (1992), H. 9},
  isbn      = {1572-9575},
  pages     = {1785 -- 1795},
  year      = {1992},
  language  = {en}
}
@article{Stulpe1998,
  author    = {Stulpe, Werner},
  title     = {On the Representation of Quantum Mechanics on a Classical Sample Space},
  series = {International Journal of Theoretical Physics. 37 (1998), H. 1},
  journal   = {International Journal of Theoretical Physics. 37 (1998), H. 1},
  isbn      = {1572-9575},
  pages     = {349 -- 356},
  year      = {1998},
  language  = {en}
}
@article{Stulpe1994,
  author    = {Stulpe, Werner},
  title     = {Some Remarks on Classical Representations of Quantum Mechanics},
  series = {Foundations of Physics . 24 (1994), H. 7},
  journal   = {Foundations of Physics . 24 (1994), H. 7},
  isbn      = {1572-9516},
  pages     = {1089 -- 1094},
  year      = {1994},
  language  = {en}
}