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- Ekaterina Auer, Andreas Rauh, Eberhard P. Hofer, Wolfram Luther
- Reliable Implementation of Real Number Algorithms
- 2008

- Clara Ament, Eberhard P. Hofer
- Journal of biomechanics
- 2000

A quantitative biomechanical model describes the tissue transformation during healing of a transverse osteotomy of a sheep metatarsal. The model predicts bridging of the bone ends through cartilage, followed by the growth of a callus cuff, and finally, the resorption of callus after ossification of the interfragmentary gap. We suggest bone density or the… (More)

- Theodor M. Fliedner, B Tibken, Eberhard P. Hofer, Wilène Paul
- Health physics
- 1996

A biomathematical model of granulocytopoiesis is described and used to analyze the blood granulocyte changes seen in the blood of dogs and humans after continuous and after acute external radiation exposure. This allows to relate the cell change pattern seen to the extent of stem cell damage in the hematopoietic bone marrow distributed as semi-autonomous… (More)

In this paper, interval simulation methods are presented to determine guaranteed enclosures of state variables of an activated sludge process in biological wastewater treatment. This process is characterized by nonlinearities and uncertain but bounded parameters. In uncertain systems an axis-parallel interval box is mapped to a complexly shaped region in… (More)

- B Tibken, Eberhard P. Hofer
- Stem cells
- 1995

In this paper a dynamic model of granulocytopoiesis is used to estimate stem cell numbers after acute and chronic irradiation. Regeneration data from irradiation accidents and bone marrow transplantation are investigated in the case of acute irradiation. Data from dogs living in a low-dose irradiation field are investigated for the case of chronic… (More)

- Andreas Rauh, Johanna Minisini, Eberhard P. Hofer, Harald Aschemann
- Reliable Computing
- 2011

In this paper, interval arithmetic techniques for controller design of nonlinear dynamical systems with uncertainties are summarized. The main reason for the application of interval techniques in this context is the quantification of the influence of uncertainties and modeling errors. They result from neglecting nonlinear phenomena in the mathematical… (More)

- Dirk Densow, Hauke Kindler, Alexander E. Baranov, B Tibken, Eberhard P. Hofer, Theodor M. Fliedner
- Stem cells
- 1997

The management of acute radiation syndrome in persons inadvertently exposed to total-body irradiation greatly benefits from the experience gained in previous clinical management situations. Within the framework of exposure to high doses, one of the most critical issues is the question of whether hematopoietic stem cell transplantation is indicated. A valid… (More)

- Ryoichi Suzuki, T. Sawada, Nobuaki Kobayashi, Eberhard P. Hofer
- 2011 IEEE International Conference on…
- 2011

This paper proposes a control method of active ankle-foot prostheses. The main goal of this research is to determine the feasibility of generating adequate plantar flexion force by using the internal model control design. The prototype of the powered ankle prosthesis is developed to evaluate proposed controllers. The paper shows that the prototype is able… (More)

- Andreas Rauh, Johanna Minisini, Eberhard P. Hofer
- Applied Mathematics and Computer Science
- 2009

Control strategies for nonlinear dynamical systems often make use of special system properties, which are, for example, differential flatness or exact input-output as well as input-to-state linearizability. However, approaches using these properties are unavoidably limited to specific classes of mathematical models. To generalize design procedures and to… (More)

- Andreas Rauh, Johanna Minisini, Eberhard P. Hofer
- Numerical Validation in Current Hardware…
- 2008

In this paper, an overview of the potential use of validated techniques for the analysis and design of controllers for linear and nonlinear dynamical systems with uncertainties is given. In addition to robust pole assignment for linear dynamical systems with parameter uncertainties, mathematical system models and computational techniques are considered in… (More)