Modeling intracellular transport and traffic jam in 3D neurons using PDE-constrained optimization

Abstract The intracellular transport process plays an important role in delivering essential materials throughout branched geometries of neurons for their survival and function. Many neurodegenerative diseases have been associated with the disruption transport. Therefore, it is to study how control localize necessary locations. Here, we develop a novel optimization model simulate traffic regulation mechanism material three-dimensional complex neurons. controlled avoid jams by minimizing predefined objective subjects set partial differential equation (PDE) constraints that describe based on macroscopic molecular-motor-assisted particles. proposed PDE-constrained solved tree structures using isogeometric analysis. Different simulation parameters are used introduce handle issue. Specifically, successfully explain jam caused reduced number microtubules (MTs) MT swirls. In summary, our effectively simulates healthy also explains formation abnormal Our results demonstrate both geometry structure play roles achieving optimal