Key research themes
1. How do internal and external forces regulate the positioning of centrosomes and centers of mass within cells?
This research theme focuses on the mechanisms by which intracellular forces, particularly those exerted by microtubules and associated motor proteins like dynein, as well as actomyosin systems, regulate the centering and displacement of centrosomes, which serve as dynamic organizing centers influencing cellular architecture. It matters because centrosome positioning is crucial for intracellular transport, cell polarity, ciliogenesis, and directional cell migration, all of which depend on precise control of the center of mass within the cellular context.
2. What analytical and computational methods optimize estimation of center of mass in articulated and biological systems?
This theme investigates mathematical modeling and estimation techniques for accurately determining the center of mass (CoM) in complex articulated systems such as humanoid robots and human subjects. These methods are vital for controlling balance, motion prediction, and postural control, which have widespread implications in robotics, rehabilitation, and biomechanics.
3. How can the classical and modern mathematical theory of centroids inform precise localization of centers of mass for physical bodies and biological systems?
This theme explores the historical foundations and mathematical formulations that define centers of mass and centroids across different geometries—from discrete particle systems, continuous bodies, to biological structures. Understanding these principles provides a rigorous basis for calculating mass distribution centers used ubiquitously in physics, engineering, and biomechanics.