[PDF][PDF] Fractal fractional derivative on chemistry kinetics hires problem
Fractal fractional derivative on chemistry kinetics hires problem Page 1 AIMS Mathematics, 7(1):
1155–1184. DOI: 10.3934/math.2022068 Received: 28 July 2021 Accepted: 21 September …
1155–1184. DOI: 10.3934/math.2022068 Received: 28 July 2021 Accepted: 21 September …
[HTML][HTML] Chemical systems with limit cycles
The dynamics of a chemical reaction network (CRN) is often modeled under the assumption
of mass action kinetics by a system of ordinary differential equations (ODEs) with polynomial …
of mass action kinetics by a system of ordinary differential equations (ODEs) with polynomial …
[HTML][HTML] Cooperation in bioluminescence: understanding the role of autoinducers by a stochastic random resistor model
Quorum sensing is a communication mechanism adopted by different bacterial strains for
the regulation of gene transcription. It takes place through the exchange of molecules called …
the regulation of gene transcription. It takes place through the exchange of molecules called …
An algorithm for finding weakly reversible deficiency zero realizations of polynomial dynamical systems
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 …
applications. On the other hand, their mathematical analysis is very challenging in general …
Absolute concentration robustness in power law kinetic systems
NT Fortun, ER Mendoza - arXiv preprint arXiv:2004.00429, 2020 - arxiv.org
Absolute concentration robustness (ACR) is a condition wherein a species in a chemical
kinetic system possesses the same value for any positive steady state the network may …
kinetic system possesses the same value for any positive steady state the network may …
Weakly reversible single linkage class realizations of polynomial dynamical systems: an algorithmic perspective
Abstract Systems of differential equations with polynomial right-hand sides are very common
in applications. In particular, when restricted to the positive orthant, they appear naturally …
in applications. In particular, when restricted to the positive orthant, they appear naturally …
On solutions of the stiff differential equations in chemistry kinetics with fractal-fractional derivatives
In this paper, we consider the stiff systems of ordinary differential equations arising from
chemistry kinetics. We develop the fractional order model for chemistry kinetics problems by …
chemistry kinetics. We develop the fractional order model for chemistry kinetics problems by …
On classes of reaction networks and their associated polynomial dynamical systems
In the study of reaction networks and the polynomial dynamical systems that they generate,
special classes of networks with important properties have been identified. These include …
special classes of networks with important properties have been identified. These include …
Rigorously proven chaos in chemical kinetics
M Susits, J Tóth - arXiv preprint arXiv:2402.18523, 2024 - arxiv.org
This study addresses a longstanding question regarding the mathematical proof of chaotic
behavior in kinetic differential equations. Following the numerous numerical and …
behavior in kinetic differential equations. Following the numerous numerical and …
Hamiltonian representation of generalized ribosome flow models
MA Vághy, G Szederkényi - 2022 European Control …, 2022 - ieeexplore.ieee.org
In this paper we study a class of compartmental models with bounded capacities, called
generalized ribosome flow models and show that they are formally kinetic, ie we can assign …
generalized ribosome flow models and show that they are formally kinetic, ie we can assign …