Quantitative analysis of interaction between domain walls and magnetic nanoparticlesMagnetorelaxometry (MRX) is a sensitive measurement technique frequently employed in biomedical applications for imaging magnetic nanoparticles (MNP). In this article, we employ a first principles model to investigate the effects of different iron oxide MNP sample properties on the N eel relaxation time constant s N in magnetorelaxometry. Using this model, we determined that dipolar interactions start to have an impact on the MRX signal from Fe concentrations of 100 mmol/l and result in a smaller s N . Additionally, the micromagnetic damping constant, closely related to s N , was found to be between 0.0005 and 0.002 by comparison to an MRX measurement of iron oxide particles. This is significantly lower compared to the bulk value of 0.07 for this material. V C 2014 AIP Publishing LLC. [http://dx.