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- Karin Gatermann, Markus Eiswirth, Anke Sensse
- J. Symb. Comput.
- 2005

A family of polynomial differential systems describing the behavior of a chemical reaction network with generalized mass action kinetics is investigated. The coefficients and monomials are given by graphs. The aim of this investigation is to clarify the algebraic-discrete aspects of a Hopf bifurcation in these special differential equations. We apply… (More)

- Jürgen Reidl, Peter Borowski, Anke Sensse, Jens Starke, Martin Zapotocky, Markus Eiswirth
- Biophysical journal
- 2006

We present a mathematical model for calcium oscillations in the cilia of olfactory sensory neurons. The underlying mechanism is based on direct negative regulation of cyclic nucleotide-gated channels by calcium/calmodulin and does not require any autocatalysis such as calcium-induced calcium release. The model is in quantitative agreement with available… (More)

DISSERTATION zur Erlangung des akademischen Grades doctor rerum naturalium Dedicated to the memory of KARIN GATERMANN Table 1: List of mathematical symbols C field of complex numbers R field of real numbers Z ring of integer numbers C[x] ring of polynomials with coefficients in the field of complex numbers I ideal I def, tor deformed toric ideal V (I)… (More)

- Rolf Burghaus, Katrin Coboeken, +6 authors Jörg Lippert
- PloS one
- 2011

Rivaroxaban is an oral, direct Factor Xa inhibitor approved in the European Union and several other countries for the prevention of venous thromboembolism in adult patients undergoing elective hip or knee replacement surgery and is in advanced clinical development for the treatment of thromboembolic disorders. Its mechanism of action is antithrombin… (More)

- Anke Sensse, Markus Eiswirth
- The Journal of chemical physics
- 2005

Previous investigations have revealed that special constellations of feedback loops in a network can give rise to saddle-node and Hopf bifurcations and can induce particular bifurcation diagrams including the occurrence of various codimension-two points. To elucidate the role of feedback loops in the generation of more complex dynamics, a minimal prototype… (More)

- Anke Sensse, Marcus Hauser, Markus Eiswirth
- The Journal of chemical physics
- 2006

Special structures in a chemical reaction network can give rise to bistability, oscillations, and chaos. It has been shown recently [A. Sensse and M. Eiswirth, J. Chem. Phys. 122, 044516 (2005)] that the introduction of an additional species in a supplementary feedback loop to a minimal autocatalytic oscillator gives rise to chaotic dynamics in a certain… (More)

- Rolf Burghaus, Katrin Coboeken, +7 authors Jörg Lippert
- Front. Physiol.
- 2014

The long-lasting anticoagulant effect of vitamin K antagonists can be problematic in cases of adverse drug reactions or when patients are switched to another anticoagulant therapy. The objective of this study was to examine in silico the anticoagulant effect of rivaroxaban, an oral, direct Factor Xa inhibitor, combined with the residual effect of… (More)

We present a mathematical model for Ca oscillations in the cilia of olfactory sensory neurons. The underlying mechanism is based on direct negative regulation of cyclic nucleotide-gated channels by calcium/calmodulin and does not require any autocatalysis such as calcium-induced calcium release. The model is in quantitative agreement with available… (More)

Langmuir-Hinshelwood mechanism [12]. In Section 2 we carry out the stability analysis; the algebraic concepts (and the notation) follow the book by Cox et al. [13]. As a real reaction system the wellknown carbon monoxide oxidation is investigated by the same procedure in Section 4. 2. Langmuir-Hinshelwood Mechanism Most surface reactions obey the well-known… (More)

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