activity
20182026
most citedRevisiting Persistence of Chemical Reaction Networks through Lyapunov Function Partial Differential Equations

4 citations · 8 across the 11 of their papers we have counts for

collaborators

11 papers

math.DS2026

Input-to-state stability of chemical reaction networks with application to molecular computation

Renlei Jiang, Xiaoyu Zhang, Chuanhou Gao +1

Input-to-state stability (ISS) provides a useful tool for analyzing the robustness of time-varying chemical reaction networks (CRNs). This paper investigates the ISS property for C…

math.DS2024★ 1 cited

Stability Analysis of Biochemical Reaction Networks Linearly Conjugated to complex balanced Systems with Time Delays Added

Xiaoyu Zhang, Shibo He, Chuanhou Gao +1

Linear conjugacy offers a new perspective to broaden the scope of stable biochemical reaction networks to the systems linearly conjugated to the well-established complex balanced m…

math.DS2024★ 1 cited

Automatic Implementation of Neural Networks through Reaction Networks--Part II: Error Analysis

Yuzhen Fan, Xiaoyu Zhang, Chuanhou Gao +1

This paired article aims to develop an automated and programmable biochemical fully connected neural network (BFCNN) with solid theoretical support. In Part I, a concrete design fo…

math.DS2023

Automatic Implementation of Neural Networks through Reaction Networks -- Part I: Circuit Design and Convergence Analysis

Yuzhen Fan, Xiaoyu Zhang, Chuanhou Gao +1

Information processing relying on biochemical interactions in the cellular environment is essential for biological organisms. The implementation of molecular computational systems…

math.DS2023★ 1 cited

Network Combination to Persistence of High-dimensional Delayed Complex Balanced Mass-action Systems

Xiaoyu Zhang, Chunhou Gao, Denis Dochain

Complex balanced mass-action systems (CBMASs) are of great importance in the filed of biochemical reaction networks. However analyzing the persistence of these networks with high d…

math.DS2023

Capturing persistence of delayed complex balanced chemical reaction systems via decomposition of semilocking sets

Xiaoyu Zhang, Chuanhou Gao, Denis Dochain

With the increasing complexity of time-delayed systems, the diversification of boundary types of chemical reaction systems poses a challenge for persistence analysis. This paper fo…

math.DS2022

Towards Programming Adaptive Linear Neural Networks Through Chemical Reaction Networks

Yuzhen Fan, Xiaoyu Zhang, Chuanhou Gao

This paper is concerned with programming adaptive linear neural networks (ALNNs) using chemical reaction networks (CRNs) equipped with mass-action kinetics. Through individually pr…

math.DS2022

On Stability of Two Kinds of Delayed Chemical Reaction Networks

Xiaoyu Zhang, Chuanhou Gao, Denis Dochain

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 delayed…

math.DS2019

Some dynamical properties of delayed weakly reversible mass-action systems

Xiaoyu Zhang, Tian Zhang, Chuanhou Gao

This paper focuses on the dynamical properties of delayed complex balanced systems. We first study the relationship between the stoichiometric compatibility classes of delayed and…

math.DS2019★ 1 cited

Persistence of Delayed Complex Balanced Chemical Reaction Networks

Xiaoyu Zhang, Chuanhou Gao

In this paper, we derive two sufficient conditions to diagnose the persistence of two classes of delayed complex balanced chemical reaction network systems equipped with mass-actio…

math.DS2018★ 4 cited

Revisiting Persistence of Chemical Reaction Networks through Lyapunov Function Partial Differential Equations

Xiaoyu Zhang, Zhou Fang, Chuanhou Gao

In this paper, we propose a novel technique, referred to as the Lyapunov Function PDEs technique, to diagnose persistence of chemical reaction networks with mass-action kinetics. T…