5 papers
A universal multi-turnpike principle for optimal allocation of translational resources
Ram Massas, Thomas Kriecherbauer, Lars Grüne +2
mRNA translation in the cell requires efficient allocation of shared and limited resources including free ribosomes, tRNA molecules, and initiation factors across multiple transcri…
A turnpike property in an eigenvalue optimization problem
Adam Kaminer, Thomas Kriecherbauer, Lars Grüne +1
We consider a constrained eigenvalue optimization problem that arises in an important nonlinear dynamical model for mRNA translation in the cell. We prove that the ordered list of…
Negative feedback and oscillations in a model for mRNA translation
Aliza Ehrman, Thomas Kriecherbauer, Lars Gruene +1
The ribosome flow model (RFM) is a phenomenological model for the unidirectional flow of particles along a 1D chain of sites. The RFM has been extensively used to study the dyn…
Random attraction in TASEP with time-varying hopping rates
Lars Grüne, Kilian Pioch, Thomas Kriecherbauer +1
The totally asymmetric simple exclusion principle (TASEP) is a fundamental model in nonequilibrium statistical mechanics. It describes the stochastic unidirectional movement of par…
Model order reduction for the TASEP Master equation
Kilian Pioch, Thomas Kriecherbauer, Michael Margaliot +1
The totally asymmetric simple exclusion process (TASEP) is a stochastic model for the unidirectional dynamics of interacting particles on a D-lattice that is much used in system…