RNA polymerase first recognizes and binds a gene promoter to form a closed complex with the local DNA duplex still paired. Local strand separation then produces a transcription bubble in an open promoter complex, making the template available for RNA synthesis. Recognition, binding, and opening are distinct events; observing binding alone does not demonstrate strand opening.
In magnetic tweezers, a DNA tether joins a fixed surface to a magnetic bead, with attachments that prevent free swivelling. The magnets pull upward and can impose turns; the bead height reports tether extension. For a torsionally constrained tether, linking number is partitioned into twist and writhe, . If opening the transcription bubble removes helical twist while is fixed, compensating twist or writhe appears elsewhere. In a supercoiled regime, changes in writhe change the extension, making an opening event visible as a bead-height step.
The sign provides an important control. On a positively supercoiled tether, local unwinding requires more positive compensating writhe and generally shortens the tether. On a negatively supercoiled tether, the same unwinding removes some negative writhe and generally lengthens it. A bending or compaction contribution can have the same sign in both cases, whereas the torsional contribution reverses. Comparing signs, together with an extension-versus-turns response measured for the tether, distinguishes local unwinding from mere binding-induced bending. These claims assume the tether remains torsionally constrained and lies in the calibrated supercoiled regime, rather than an arbitrary stretched-DNA regime.
Original magnetic tweezers schematic and the competing time contributions in facilitated target search
. Details. Past exam of the biological physics course of the University of Oxford 2015 8 iii Solution 2026-10-25
Single-molecule experiments expose distributions and ordered events that an ensemble average can hide. Several distinct biological systems make this advantage concrete.
- In titin single-molecule force spectroscopy, individual sawtooth drops reveal sequential domain unfolding and contour release. An ensemble stretching curve can smooth away that sequence and obscure variation in unfolding thresholds. Force-dependent waiting-time distributions also distinguish stochastic transitions from a single deterministic breaking strength.
- In a patch clamp recording of one ion channel, discrete open-current levels and closed intervals reveal single-channel conductance, gating dwell times, and ion-channel open probability. An ensemble current alone cannot distinguish a few frequently open channels from many rarely open ones, or reveal a brief intermediate state with the same clarity.
- In Single-molecule observation of F1 rotation, a probe on the motor shaft reports angular progression and pauses associated with the catalytic cycle. Rotation demonstrates mechanical coupling directly; individual stepping and dwell-time statistics can connect chemical turnover to angular motion, whereas bulk ATP consumption alone cannot establish the motor's trajectory.
- In DNA unwinding measured by magnetic tweezers, individual extension changes resolve the waiting time and extent of open promoter complex formation by RNA polymerase. Separate binding, opening, and later movements can otherwise merge into one population-averaged response.
These methods also have limitations: the attached probe or applied load may perturb the molecule, inactive or heterogeneous molecules may be overrepresented, and finite temporal resolution can hide fast steps. Repeated independent trajectories and appropriate controls are needed to connect a single observed event to a reproducible mechanism. The gain is access to trajectories and heterogeneity, rather than an assumption that one molecule alone represents every molecule.
At initiation, RNA polymerase recognizes a promoter and forms a closed bound complex; bacterial promoter recognition involves its specificity factor. Local strand opening exposes the template in an open complex, after which initial RNA synthesis can precede promoter escape into elongation. Binding, opening and productive escape are distinct transitions.
For DNA unwinding measured by magnetic tweezers, magnetic tweezers report the mechanics of a torsionally constrained DNA tether through the position of an attached magnetic bead. Axial magnetic force extends the tether, while imposed rotation controls its linking constraint. Video localization measures extension changes. The important physical relation isOpening a small helical region decreases twist, so the rest of the tether acquires compensating positive writhe. On a negatively supercoiled tether this removes some writhe magnitude and raises its extension; on a positively supercoiled tether it increases writhe magnitude and lowers extension. A change with opposite signs under the two torsional conditions therefore distinguishes unwinding from simple compaction, which would shorten both tethers. Calibrating extension against imposed turns converts a mechanical step into a change in helical winding. This is a conceptual readout of local opening, rather than a direct optical image of separated bases.[ref]
Promoter unwinding and promoter clearance by RNA polymerase: Detection by single-molecule DNA nanomanipulation by Andrey Revyakin and others. 2004 study, linking-number argument and opposite extension responses for positive and negative supercoiling
In bacterial transcription initiation, the RNA polymerase holoenzyme uses a promoter-specific sigma factor to recognize promoter elements and form a closed DNA-bound complex. Subsequent local DNA melting opens a transcription bubble, positioning the template strand in the active site: this is an open promoter complex. The enzyme can then initiate RNA synthesis and escape into elongation. LacI, the lac repressor, binds the lac operator overlapping or close to the promoter and can prevent productive promoter binding or its progression to an open complex; operator arrangement and DNA looping can strengthen repression. One should not assume every repressor acts at exactly the same microscopic step.
A high-resolution optical tweezers assay mechanically connects one trapped bead to RNA polymerase and another bead to an upstream or downstream DNA handle. Polymerase motion changes the tether length; measuring bead displacement and the calibrated restoring force reports elongation under a known load. A feedback force clamp can keep that load approximately constant. Reversing the tether geometry permits assisting and opposing loads. The left panel below shows the mechanical arrangement rather than a copied apparatus image.
A base-pair advance is only about along B-form DNA. Resolving that increment requires exceptional mechanical stability, suppression of drift and laser-pointing noise, calibration of trap and tether compliance, and sufficient temporal sampling to separate steps from thermal bead fluctuations. Position histograms, dwell detection and their spatial correlations can expose a repeated increment; one should also test nucleotide-dependent motion, pauses and backtracking. Stabilized dual-trap measurements combined with transcription-product analysis established approximately one base-pair advance per incorporated nucleotide.[ref]
Direct observation of base-pair stepping by RNA polymerase by Elio A. Abbondanzieri and others. Single-molecule displacement measurement and independent gel analysis supporting one-base-pair stepping


