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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…
Structure and input-to-state stability for composable computations in chemical reaction networks
Renlei Jiang, Chuanhou Gao, Denis Dochain
In the field of molecular computation based on chemical reaction networks (CRNs), leveraging parallelism to enable coupled mass-action systems (MASs) to retain predefined computati…
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…
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…
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…
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…