“…Various studies have been performed to enhance transportation of analytes towards the wall by external fields [ 19 , 20 , 21 ] or vortices caused by mixing structures on the surface [ 22 , 23 , 24 ], but using external energy or fabricating additional surface structures may not always be practical due to cost, user environments or manufacturing issues. When no external field or mixing surface structure is present for lateral flow, the movement of analytes such as enzymes, proteins, viruses, or bacteria is mainly driven by Brownian motion [ 25 , 26 , 27 ]. Therefore, analyzing the binding properties between the analyte and receptor by considering the Brownian motion of the analyte is critical for developing highly sensitive microfluidic biosensors.…”