6 citations · 6 across the 8 of their papers we have counts for
4 papers · 1 filter
Maximum likelihood estimation of log-affine models using detailed-balanced reaction networks
Oskar Henriksson, Carlos Améndola, Jose Israel Rodriguez +1
A fundamental question in the field of molecular computation is what computational tasks a biochemical system can carry out. In this work, we focus on the problem of finding the ma…
A necessary condition for non-monotonic dose response, with an application to a kinetic proofreading model -- Extended version
Polly Y. Yu, Eduardo D. Sontag
Steady state nonmonotonic ("biphasic") dose responses are often observed in experimental biology, which raises the control-theoretic question of identifying which possible mechanis…
Weakly reversible mass-action systems with infinitely many positive steady states
Balázs Boros, Gheorghe Craciun, Polly Y. Yu
We show that weakly reversible mass-action systems can have a continuum of positive steady states, coming from the zeroes of a multivariate polynomial. Moreover, the same is true o…
Mathematical Analysis of Chemical Reaction Systems
Polly Y. Yu, Gheorghe Craciun
The use of mathematical methods for the analysis of chemical reaction systems has a very long history, and involves many types of models: deterministic versus stochastic, continuou…