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Advancing Mathematical Epidemiology and Chemical Reaction Network Theory via Synergies Between Them [PDF]

open access: yesEntropy
Our paper reviews some key concepts in chemical reaction network theory and mathematical epidemiology, and examines their intersection, with three goals.
Florin Avram, Rim Adenane, Mircea Neagu
doaj   +2 more sources

Diffusive network connected chemical reaction networks

open access: yesSystems Science & Control Engineering
A novel type of networked Chemical Reaction Network (CRN) model is proposed in this paper where the CRN subsystem nodes are connected in a bi-directional state-difference-driven way, forming a diffusive network. The diffusive connecting elements can also
Katalin M. Hangos   +2 more
doaj   +3 more sources

Networking chemical robots for reaction multitasking [PDF]

open access: yesNature Communications, 2018
Distributing a reaction workload across laboratories can solve chemical problems more efficiently, but it is challenging to develop viable hardware and software.
Dario Caramelli   +6 more
doaj   +3 more sources

Independent Decompositions of Chemical Reaction Networks [PDF]

open access: yesBulletin of Mathematical Biology, 2021
A chemical reaction network (CRN) is composed of reactions that can be seen as interactions among entities called species, which exist within the system. Endowed with kinetics, CRN has a corresponding set of ordinary differential equations (ODEs). In Chemical Reaction Network Theory, we are interested with connections between the structure of the CRN ...
Bryan S. Hernandez   +1 more
openaire   +3 more sources

Concordant chemical reaction networks [PDF]

open access: yesMathematical Biosciences, 2012
We describe a large class of chemical reaction networks, those endowed with a subtle structural property called concordance. We show that the class of concordant networks coincides precisely with the class of networks which, when taken with any weakly monotonic kinetics, invariably give rise to kinetic systems that are injective --- a quality that ...
Shinar, Guy, Feinberg, Martin
openaire   +4 more sources

Nonequilibrium Thermodynamics in Biochemical Systems and Its Application

open access: yesEntropy, 2021
Living systems are open systems, where the laws of nonequilibrium thermodynamics play the important role. Therefore, studying living systems from a nonequilibrium thermodynamic aspect is interesting and useful.
Dongliang Zhang, Qi Ouyang
doaj   +1 more source

Monotone Chemical Reaction Networks [PDF]

open access: yesJournal of Mathematical Chemistry, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
P. DE LEENHEER, ANGELI, DAVID, E. SONTAG
openaire   +2 more sources

On Quantitative Comparison of Chemical Reaction Network Models [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2019
Chemical reaction networks (CRNs) provide a convenient language for modelling a broad variety of biological systems. These models are commonly studied with respect to the time series they generate in deterministic or stochastic simulations. Their dynamic
Ozan Kahramanoğulları
doaj   +1 more source

Siphons in Chemical Reaction Networks [PDF]

open access: yesBulletin of Mathematical Biology, 2010
Siphons in a chemical reaction system are subsets of the species that have the potential of being absent in a steady state. We present a characterization of minimal siphons in terms of primary decomposition of binomial ideals, we explore the underlying geometry, and we demonstrate the effective computation of siphons using computer algebra software ...
Shiu, Anne, Sturmfels, Bernd
openaire   +6 more sources

Structural reduction of chemical reaction networks based on topology

open access: yesPhysical Review Research, 2021
We develop a model-independent reduction method of chemical reaction systems based on the stoichiometry, which determines their network topology. A subnetwork can be eliminated systematically to give a reduced system with fewer degrees of freedom.
Yuji Hirono   +3 more
doaj   +1 more source

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