131 citations
- Max Planck SocietyDE57 papers
- Otto-von-Guericke-Universität MagdeburgDE44 papers
- Virginia TechUS15 papers
- Technische Universität BerlinDE14 papers
- Institute of Applied Mathematics and MechanicsUA12 papers
- Rice UniversityUS11 papers
- National Academy of Sciences of UkraineUA10 papers
- Chemnitz University of TechnologyDE9 papers
- Courant Institute of Mathematical SciencesUS8 papers
- Max Planck Institute for Mathematics in the SciencesDE8 papers
- New York UniversityUS8 papers
- University of KlagenfurtAT8 papers
9 papers · 1 filter
N-site phosphorylation systems with 2N-1 steady states
Dietrich Flockerzi, Katharina Holstein, Carsten Conradi
Multisite protein phosphorylation plays a prominent role in intracellular processes like signal transduction, cell-cycle control and nuclear signal integration. Many proteins are p…
On Pole Placement and Invariant Subspaces
Naim Bajcinca
The classical eigenvalue assignment problem is revisited in this note. We derive an analytic expression for pole placement which represents a slight generalization of the celebrate…
Sign conditions for injectivity of generalized polynomial maps with applications to chemical reaction networks and real algebraic geometry
Stefan Müller, Elisenda Feliu, Georg Regensburger +3
We give necessary and sufficient conditions in terms of sign vectors for the injectivity of families of polynomial maps with arbitrary real exponents defined on the positive orthan…
SBML Qualitative Models: a model representation format and infrastructure to foster interactions between qualitative modelling formalisms and tools
Claudine Chaouiya, Duncan Berenguier, Sarah M Keating +21
Background: Qualitative frameworks, especially those based on the logical discrete formalism, are increasingly used to model regulatory and signalling networks. A major advantage o…
Duality and interval analysis over idempotent semirings
T. Brunsch, L. Hardouin, J. Raisch +1
In this paper semirings with an idempotent addition are considered. These algebraic structures are endowed with a partial order. This allows to consider residuated maps to solve sy…
A minimal communication approach to parallel time integration
Andrew T. Barker
We explore an approach due to Nievergelt of decomposing a time-evolution equation along the time dimension and solving it in parallel with as little communication as possible betwe…