85 citations · 127 across the 11 of their papers we have counts for
11 papers
A Keller-Segel model for C elegans L1 aggregation
Leon Avery, Brian Ingalls, Catherine Dumur +1
We describe a mathematical model for the aggregation of starved first-stage C elegans larvae (L1s). We propose that starved L1s produce and respond chemotactically to two labile di…
Dynamic phenotypes as criteria for model discrimination: fold-change detection in R. sphaeroides
Abdullah Hamadeh, Brian Ingalls, Eduardo Sontag
The chemotaxis pathway of the bacterium Rhodobacter sphaeroides has many similarities to the well-studied pathway in Escherichia coli. It exhibits robust adaptation and has several…
Optimal metabolic pathway activation
Diego Oyarzún, Brian Ingalls, Richard Middleton +1
This paper deals with temporal enzyme distribution in the activation of biochemical pathways. Pathway activation arises when production of a certain biomolecule is required due to…
MAPK Cascades as Feedback Amplifiers
Herbert M Sauro, Brian Ingalls
Interconvertible enzyme cascades, exemplified by the mitogen activated protein kinase (MAPK) cascade, are a frequent mechanism in signal transduction pathways. There has been much…
Deterministic characterization of stochastic genetic circuits
Matthew Scott, Terence Hwa, Brian Ingalls
For cellular biochemical reaction systems where the numbers of molecules is small, significant noise is associated with chemical reaction events. This molecular noise can give rise…
A Relaxation Theorem for Differential Inclusions with Applications to Stability Properties
Brian P. Ingalls, Eduardo D. Sontag, Yuan Wang
The fundamental Filippov-Wazwski Relaxation Theorem states that the solution set of an initial value problem for a locally Lipschitz inclusion is dense in the solution set of the s…