Zobrazeno 1 - 10
of 54
pro vyhledávání: '"Yu, Polly Y"'
Autor:
Yu, Polly Y., Sontag, Eduardo D.
Steady state nonmonotonic ("biphasic") dose responses are often observed in experimental biology, which raises the control-theoretic question of identifying which possible mechanisms might underlie such behaviors. It is well known that the presence o
Externí odkaz:
http://arxiv.org/abs/2403.13862
Autor:
Yu, Polly Y.
A class of polynomial dynamical systems called complex-balanced are locally stable and conjectured to be globally stable. In general, complex-balancing is not a robust property, i.e., small changes in parameter values may result in the loss of the co
Externí odkaz:
http://arxiv.org/abs/2210.13633
Systems of differential equations with polynomial right-hand sides are very common in applications. On the other hand, their mathematical analysis is very challenging in general, due to the possibility of complex dynamics: multiple basins of attracti
Externí odkaz:
http://arxiv.org/abs/2205.14267
Publikováno v:
SIAM Journal on Applied Dynamical Systems, Volume 22, Issue 2, June 2023, Pages: 1423 - 1444
Under the assumption of mass-action kinetics, a dynamical system may be induced by several different reaction networks and/or parameters. It is therefore possible for a mass-action system to exhibit complex-balancing dynamics without being weakly rev
Externí odkaz:
http://arxiv.org/abs/2205.06629
Delay mass-action systems provide a model of chemical kinetics when past states influence the current dynamics. In this work, we provide a graph-theoretic condition for delay stability, i.e., linear stability independent of both rate constants and de
Externí odkaz:
http://arxiv.org/abs/2105.07321
Autocatalytic systems are very often incorporated in the "origin of life" models, a connection that has been analyzed in the context of the classical hypercycles introduced by Manfred Eigen. We investigate the dynamics of certain networks called bimo
Externí odkaz:
http://arxiv.org/abs/2012.06033
A reaction network together with a choice of rate constants uniquely gives rise to a system of differential equations, according to the law of mass-action kinetics. On the other hand, different networks can generate the same dynamical system under ma
Externí odkaz:
http://arxiv.org/abs/2010.04316
We characterize the dynamics of all single-target networks under mass-action kinetics: either the system is (i) globally stable for all choice of rate constants (in fact, dynamically equivalent to a detailed-balanced system) or (ii) has no positive s
Externí odkaz:
http://arxiv.org/abs/2006.01192
Delay differential equations are used as a model when the effect of past states has to be taken into account. In this work we consider delay models of chemical reaction networks with mass action kinetics. We obtain a sufficient condition for absolute
Externí odkaz:
http://arxiv.org/abs/2003.04959
Publikováno v:
SIAM Journal on Applied Mathematics, 80(4):1936-1946, 2020
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 of systems whose underlying reaction network is reversible and has a si
Externí odkaz:
http://arxiv.org/abs/1912.10302