The Guangdong Provincial Key Laboratory of Mathematical and Neural Dynamical Systems was established in 2024 with the approval of the Department of Science and Technology of Guangdong Province. This key laboratory is jointly built by the School of Sciences of Great Bay University , Dongguan People's Hospital, and Shenzhen University. The laboratory is directed by Chair Professor Jinqiao Duan, the Executive Dean of Great Bay University.

The laboratory currently has more than 40 academic leaders and core members, including 5 individuals selected for the National Plan for Top-notch Talents. Drawing on the university’s strengths in disciplines such as mathematics, applied mathematics, and computer science and technology, and supported by the Dongguan Key Laboratory of Data Science and Intelligent Medicine and the Dongguan Key Laboratory of Intelligent Brain Imaging and Brain Function, the laboratory aims to develop mathematical theories of brain neural dynamical systems. It seeks to explore the complex mechanisms of brain disease evolution, construct dynamical system models of brain diseases integrating multimodal brain data, and build intelligent platforms for the diagnosis and treatment of brain diseases. These efforts aim to achieve breakthroughs in understanding disease mechanisms, early warning, prediction, and intervention simulation, supporting the national strategy of the Healthy China Initiative. The laboratory also aims to drive the digital transformation of the medical industry in Guangdong Province and lead advancements in smart medical technologies.

[Research Directions]

Basic Research: Dynamical Systems---Theory and Methods

(a) Geometric, analytical, probabilistic, and topological approaches for nonlinear/stochastic dynamical systems are expected to provide new theoretical foundations for the evolutionary laws of the nervous system
(b) Theory and computation of neural dynamical systems, and providing new research topics and ideas for the study of dynamical systems
(c) Nonlinear/stochastic dynamical systems and AI: Algorithms and theoretical analysis

Applied Basic Research: Brain Disease Mechanisms Based on Stochastic Dynamical Systems
(a)  Hybrid modeling integrating "first principles" and data-driven methods

(b)  Early-warning indicators for stochastic dynamical systems

(c)  Network node control dynamics

Technological Development: Multimodal Data Integration and Early Warning/Intervention for Brain Diseases
(a) Multimodal data integration for brain diseases

(b) Simulation of brain disease migration phenomena

(c) Simulation of functional coordination and intervention across brain regions

(b) Application of privacy-preserving machine learning models in brain disease prediction and diagnosis

(c) Cross-hospital multi-key homomorphic encryption combined with blockchain technology

Basic Research

Research on mathematical dynamical systems and brain disease evolution mechanisms

supports

guides

Demonstration Application

Intelligent platforms for assisted diagnosis and treatment of brain diseases

National development strategies and needs (brain sciences, and brain diseases)

Key research directions of the laboratory

Technology Research & Development

Multimodal data fusion and early warning and intervention for brain diseases

drives