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The structural dynamics of a biopolymer is governed by a process of diffusionthrough its conformational energy landscape. In pulling experiments usingoptical tweezers, features of the energy landscape can be extracted from theprobability distribution of the critical force at which the polymer unfolds.The analysis is often based on rate equations having Bell-Evans form, althoughit is understood that this modeling is inadequate and leads to unreliablelandscape parameters in many common situations. Dudko and co-workers [Phys.Rev. Lett. 96, 108101 (2006)] have emphasized this critique and proposed analternative form that includes an additional shape parameter (and that reducesto Bell-Evans as a special case). Their fitting function, however, ispathological in the tail end of the pulling force distribution, which presentsproblems of its own. We propose a modified closed-form expression for thedistribution of critical forces that correctly incorporates the next-ordercorrection in pulling force and is everywhere well behaved. Our claim is thatthis new expression provides superior parameter extraction and is valid even upto intermediate pulling rates. We present results based on simulated data thatconfirm its utility.

Reliable extraction of energy landscape properties from critical force distributions