Predicting the time-dependent load-bearing and deformation behavior of concrete structures remains a significant challenge for engineers in both research and practice, primarily due to the substantial uncertainties present in existing prediction models. Recent experimental investigations have indicated that strategic preloading at an early age of concrete not only reduces the general creep tendency but also mitigates material-dependent uncertainties by homogenizing the microstructure of concrete. This article focuses on the analytical characterization of concrete creep behaviour, derived from the analysis of experimental creep tests conducted by the authors on both normal concrete and polymer-modified concrete specimens. Various analytical models from literature and design codes are examined, compared, and assessed for their effectiveness in representing experimental creep curves. Selected models are calibrated using data from preloaded specimens, emphasizing preloading intensity. The adapted approaches can predict creep under varying preloading intensities, forming a framework for further research to improve the predictability and management of long-term concrete performance. This promotes efficient material use and sustainable structural design.