6 papers
Gain of Entrainment in Nonlinear Cascades
Ram Massas, Michael Margaliot
We consider the gain of entrainment (GOE)--the difference between the average steady-state output under a periodic input and the steady-state output under a constant input with the…
On the Cost of Entrainment in Protein Translation
Ram Massas, Michael Margaliot
Biological systems often synchronize their dynamics with periodic environmental and intracellular signals. Whether such periodic coordination can also improve performance, however,…
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…
Structure preserving properties of higher order moment closures for TASEP
Kilian Pioch, Lars Grüne, Thomas Kriecherbauer +1
The totally asymmetric simple exclusion process (TASEP) is a stochastic model for the unidirectional flow of interacting particles on a 1D-lattice that is much used in systems biol…
Orthant-Monotonic Norms and Additive D-Stability
Ron Ofir, Michael Margaliot
Matrix measures induced by vector norms are widely used in contraction theory of nonlinear dynamical systems. A natural and important robustness question is whether negativity of a…
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…