Effective viscosity of methyl cellulose solutions in phosphate buffered saline in real-time deformability cytometry

Abstract: Here, we derive the equations to calculate the effective viscosity of solutions of methyl cellulose (MC) dissolved in phosphate buffered saline (PBS) in real-time deformability cytometry (RT-DC) experiments. The calculations are based on the rheometer measurements described by B\"uy\"ukurganci et al. (2022). We outline how to get the final equations and compare the results to the current viscosity model from Herold (2017). These viscosity functions will be used to determine the Young's moduli of biological cells and other soft materials from RT-DC experiments.