Reaction network motifs for static and dynamic absolute concentration robustness

B Joshi, G Craciun - SIAM Journal on Applied Dynamical Systems, 2023 - SIAM
Networks with absolute concentration robustness (ACR) have the property that a translation
of a coordinate hyperplane either contains all steady states (static ACR) or attracts all …

Global stability of first order endotactic reaction systems

C Xu - arXiv preprint arXiv:2409.01598, 2024 - arxiv.org
Reaction networks are a general framework widely used in modelling diverse phenomena in
different science disciplines. The dynamical process of a reaction network endowed with …

Prevalence of multistationarity and absolute concentration robustness in reaction networks

B Joshi, N Kaihnsa, TD Nguyen, A Shiu - SIAM Journal on Applied …, 2023 - SIAM
For reaction networks arising in systems biology, the capacity for two or more steady states,
that is, multistationarity, is an important property that underlies biochemical switches …

Bifunctional enzyme provides absolute concentration robustness in multisite covalent modification networks

B Joshi, TD Nguyen - Journal of Mathematical Biology, 2024 - Springer
Biochemical covalent modification networks exhibit a remarkable suite of steady state and
dynamical properties such as multistationarity, oscillations, ultrasensitivity and absolute …

Cramer-Rao bound and absolute sensitivity in chemical reaction networks

D Loutchko, Y Sughiyama, TJ Kobayashi - arXiv preprint arXiv:2401.06987, 2024 - arxiv.org
Chemical reaction networks (CRN) comprise an important class of models to understand
biological functions such as cellular information processing, the robustness and control of …

[HTML][HTML] Absolute concentration robustness: Algebra and geometry

LDG Puente, E Gross, HA Harrington… - Journal of Symbolic …, 2025 - Elsevier
Motivated by the question of how biological systems maintain homeostasis in changing
environments, Shinar and Feinberg introduced in 2010 the concept of absolute …

Power-engine-load form for dynamic absolute concentration robustness

B Joshi, G Craciun - SIAM Journal on Applied Mathematics, 2023 - SIAM
In a reaction network, the concentration of a species with the property of dynamic absolute
concentration robustness (dynamic ACR) converges to the same value independent of the …

Absolute concentration robustness algebra and geometry

LD García Puente, E Gross, HA Harrington… - Journal of Symbolic …, 2024 - ora.ox.ac.uk
Motivated by the question of how biological systems maintain homeostasis in changing
environments, Shinar and Feinberg introduced in 2010 the concept of absolute …