57 citations · 336 across the 51 of their papers we have counts for
9 papers · 1 filter
On the Structure of the Initiation and Elongation Rates that Maximize Protein Production in the Ribosome Flow Model
Yoram Zarai, Michael Margaliot
Translation is a crucial step in gene expression. During translation, macromolecules called ribosomes "read" the mRNA strand in a sequential manner and produce a corresponding prot…
Sensitivity of mRNA Translation
Gilad Poker, Michael Margaliot, Tamir Tuller
Using the dynamic mean-field approximation of the totally asymmetric simple exclusion process (TASEP), we investigate the effect of small changes in the initiation, exit, and elong…
Maximizing Protein Translation Rate in the Nonhomogeneous Ribosome Flow Model: A Convex Optimization Approach
Gilad Poker, Yoram Zarai, Michael Margaliot +1
Translation is an important stage in gene expression. During this stage, macro-molecules called ribosomes travel along the mRNA strand linking amino-acids together in a specific or…
High-order maximum principles for the stability analysis of positive bilinear control systems
Gal Hochma, Michael Margaliot
We consider a continuous-time positive bilinear control system (PBCS), i.e. a bilinear control system with Metzler matrices. The positive orthant is an invariant set of such a syst…
Switching Between Linear Consensus~Protocols: A Variational Approach
Orel Ron, Michael Margaliot, Michael S. Branicky
We consider a linear consensus system with n agents that can switch between r different connectivity patterns. A natural question is which switching law yields the best (or worst)…
On Boolean Control Networks with Maximal Topological Entropy
Dmitriy Laschov, Michael Margaliot
Boolean control networks (BCNs) are discrete-time dynamical systems with Boolean state-variables and inputs that are interconnected via Boolean functions. BCNs are recently attract…
Maximizing Protein Translation Rate in the Ribosome Flow Model: the Homogeneous Case
Yoram Zarai, Michael Margaliot, Tamir Tuller
Gene translation is the process in which intracellular macro-molecules, called ribosomes, decode genetic information in the mRNA chain into the corresponding proteins. Gene transla…
A Nonlinear Consensus Algorithm Derived from Statistical Physics
Michael Margaliot, Alon Raveh, Yoram Zarai
The asymmetric simple exclusion process (ASEP) is an important model from statistical physics describing particles that hop randomly from one site to the next along an ordered latt…
On Three Generalizations of Contraction
Eduardo D. Sontag, Michael Margaliot, Tamir Tuller
We introduce three forms of generalized contraction (GC). Roughly speaking, these are motivated by allowing contraction to take place after small transients in time and/or amplitud…