9 citations · 9 across the 2 of their papers we have counts for
7 papers
On the Exponent of Several Classes of Oscillatory Matrices
Yoram Zarai, Michael Margaliot
Oscillatory matrices were introduced in the seminal work of Gantmacher and Krein. An matrix is called oscillatory if all its minors are nonnegative and there exists…
Networks of ribosome flow models for modeling and analyzing intracellular traffic
Itzik Nanikashvili, Yoram Zarai, Alexander Ovseevich +2
The ribosome flow model with input and output (RFMIO) is a deterministic dynamical system that has been used to study the flow of ribosomes during mRNA translation. The RFMIO and i…
Dynamical Systems with a Cyclic Sign Variation Diminishing Property
Tsuff Ben-Avraham, Guy Sharon, Yoram Zarai +1
Several studies analyzed certain nonlinear dynamical systems by showing that the cyclic number of sign variations in the vector of derivatives is an integer-valued Lyapunov functio…
Optimal Translation Along a Circular mRNA
Yoram Zarai, Alexander Ovseevich, Michael Margaliot
The ribosome flow model on a ring (RFMR) is a deterministic model for translation of a circularized mRNA. We derive a new spectral representation for the optimal steady-state produ…
Ribosome Flow Model with Extended Objects
Yoram Zarai, Michael Margaliot, Tamir Tuller
We study a deterministic mechanistic model for the flow of ribosomes along the mRNA molecule, called the ribosome flow model with extended objects (RFMEO). This model encapsulates…
A Deterministic Model for One-Dimensional Excluded Flow with Local Interactions
Yoram Zarai, Michael Margaliot, Anatoly B. Kolomeisky
Natural phenomena frequently involve a very large number of interacting molecules moving in confined regions of space. Cellular transport by motor proteins is an example of such co…