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Welcome to the Multiscale Complex Systems Lab at Michigan State University in the Department of Computational Mathematics, Science and Engineering (CMSE). The lab is dedicated to the development of new computational, mathematical, and experimental tools to better understand and control complex systems across multiple spatiotemporal scales.
The core of our work connects empirical data/experiments, advanced data-driven modeling using computational topology and geometry, and theory-driven modeling based on dynamical systems approaches. We aim to develop tools tailored for the study of high-dimensional nonlinear dynamical systems such as the brain, social systems, and biological systems in general. In particular, we want to characterize their dynamic organization in a global sense. That is, instead modeling different types of activities or behaviors separately, we seek to map the relations between them to provide a complete picture of the system. This global approach is crucial for understanding the multifunctionality of complex systems and how disease and external control can impact multiple functions of the system.
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