Operational stability study of lactate biosensors: modeling, parameter identification, and stability analysis

V Martsenyuk, O Soldatkin… - … in Bioengineering and …, 2024 - frontiersin.org
Introduction This paper investigates the operational stability of lactate biosensors, crucial
devices in various biomedical and biotechnological applications. We detail the construction …

Advancing Mathematical Epidemic Modeling via synergies with Chemical Reaction Network Theory and Lagrange-Hamilton Geometry

F Avram, R Adenane, M Neagu - arXiv preprint arXiv:2406.03269, 2024 - arxiv.org
This essay reviews some key concepts in mathematical epidemiology and examines the
intersection of this field with related scientific disciplines, such as chemical reaction network …

On stability of two kinds of delayed chemical reaction networks

X Zhang, C Gao, D Dochain - IFAC-PapersOnLine, 2022 - Elsevier
For the networks that are linear conjugate to complex balanced systems, the delayed
version may include two classes of networks: one class is still linear conjugate to the …

A graph-theoretic condition for delay stability of reaction systems

PY Yu, G Craciun, M Mincheva, C Pantea - SIAM Journal on Applied …, 2022 - SIAM
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 …

Stability analysis for non-weakly reversible single linkage class chemical reaction networks with arbitrary time delays

H Komatsu, H Nakajima - 2020 59th IEEE Conference on …, 2020 - ieeexplore.ieee.org
In the present paper, our previous proposed method for analyzing the stability of a class of
non-weakly reversible chemical reaction networks (CRNs) is generalized to be applied to …

A graph-theoretic condition for delay stability of reaction systems

G Craciun, M Mincheva, C Pantea, PY Yu - arXiv preprint arXiv …, 2021 - arxiv.org
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 …

Analytical-Numerical Solutions of Linear Delay Differential Equations and Applications

M Sherman - 2023 - search.proquest.com
This research concentrates on extensions of the Laplace Transform (LT) method to obtain
analytical solutions for linear first order delay differential equations (DDEs) of neutral and …

Biomass transfer on autocatalytic reaction network: a delay differential equation formulation

WH Lin - arXiv preprint arXiv:2210.09470, 2022 - arxiv.org
For a biological system to grow, the biomass must be incorporated, transferred, and
accumulated into the underlying reaction network. There are two perspectives for studying …

[图书][B] Algebra and Dynamics of Reaction Network Models

PWY Yu - 2021 - search.proquest.com
Reaction networks, or interaction networks, encapsulate rules how entities, be it chemical
species or organisms, may interact with one another. The dynamics of such interactions may …

Stability, convergence and bifurcation in some models of chemical kinetics

A Abdulrahuman, K Chakrabarti, G Raina - arXiv preprint arXiv …, 2021 - arxiv.org
In this paper, we analyze the stability, convergence, and bifurcation properties of the
Boissonade-De Kepper (BD) model which played a key role in the development of nonlinear …