Lecture
This lecture delves into the behavior of sensors placed in channels, focusing on the impact of convection and diffusion on sensor performance. The instructor explains how the flow rate affects the replenishment of target molecules on the sensor surface, emphasizing the importance of maintaining a constant concentration for accurate measurements. By analyzing the interplay between convection and diffusion, the lecture explores how different geometrical parameters can optimize sensor efficiency. Through numerical examples, the instructor illustrates the significance of sensor size in determining the collection rate of molecules, highlighting the trade-offs between sensor dimensions and depletion regions. The lecture concludes by discussing the implications of sensor size on the kinetics of molecule association and dissociation, providing insights into the practical considerations for sensor design and performance.