Theoretical models for tension-dependent DNA looping time

The influence of tension on DNA looping has been studied both experimentally and theoretically in the past. However, different theoretical models have yielded different predictions, leaving uncertainty about their validity. These currently available models rely on approximations, which we here show to be valid only for short molecules. We briefly review the predictions of those models and propose a model that demonstrates exceptional agreement with simulations for long semiflexible chains. Additionally, we elucidate the relationship between our result and that of the previously proposed two-state model, highlighting the distinct interpretative approach that underpins our framework. Our findings offer predictive insights that pave the way for future experimental validation.