Computed Three-Dimensional Atomic Force Microscopy Images of Biopolymers Using the Jarzynski Equality

Revealing the Mechanism Underlying 3D-AFM Imaging of Suspended Structures by Experiments and Simulations

The invention of 3D atomic force microscopy (3D-AFM) has enabled visualizing subnanoscale 3D hydration structures. Meanwhile, its applications to imaging flexible molecular chains have started to be experimentally explored. However, the validity and principle of such imaging have yet to be clarified by comparing experiments and simulations or cross-observations with an alternative technique. Such studies are impeded by the lack of an appropriate model. Here, this difficulty is overcome by fabricating 3D carbon nanotube (CNT) structures flexible enough for 3D-AFM, large enough for scanning electron microscopy (SEM), and simple enough for simulations. SEM and 3D-AFM observations of the same model provide unambiguous evidence to support the possibility of imaging overlapped nanostructures, such as suspended CNT and underlying platinum (Pt) nanodots. Langevin dynamics simulations of such 3D-AFM imaging clarify the imaging mechanism, where the flexible CNT is laterally displaced to allow the AFM probe access to the underlying structures. These results consistently show that 3D-AFM images are affected by the friction between the CNT and AFM nanoprobe, yet it can be significantly suppressed by oscillating the cantilever. This study reinforces the theoretical basis of 3D-AFM for imaging various 3D self-organizing systems in diverse fields, from life sciences to interface sciences.

Computation of topographic and three-dimensional atomic force microscopy images of biopolymers by calculating forces

Atomic force microscopy (AFM) is widely utilized to visualize the molecular motions of biomolecules. Comparison of experimentally measured AFM images with simulated AFM images based on known structures of biomolecules is often necessary to elucidate what is actually resolved in the images. Experimental AFM images are generated by force measurements; however, conventional AFM simulation has been based on geometrical considerations rather than calculating forces using molecular dynamics simulations due to limited computation time. This letter summarizes recently developed methods to simulate topographic and three-dimensional AFM (3D-AFM) images of biopolymers such as chromosomes and cytoskeleton fibers. Scanning such biomolecules in AFM measurements usually results in nonequilibrium-type work being performed. As such, the Jarzynski equality was employed to relate the nonequilibrium work to the free energy profiles, and the forces were calculated by differentiating the free energy profiles. The biomolecules and probes were approximated using a supra-coarse-grained model, allowing the simulation of force-distance curves in feasible time. It was found that there is an optimum scanning velocity and that some of polymer structures are resolved in the simulated 3D-AFM images. The theoretical background adopted to rationalize the use of small probe radius in the conventional AFM simulation of biomolecules is clarified.

Computational biophysics of atomic force microscopy-an IUPAB-sponsored workshop

Atomic Force Microscopy (AFM) is a structural determination technique that involves 'prodding' surfaces with a nanometer sized needle with concomitant measurement of the resisting force. Due to its ability to interrogate the nanometer-to-micrometer size range, AFM is especially suited to the structural analysis of everything from biopolymers to cells and, as such, has become an important biophysical method. As AFM was only invented in 1986 it is relatively less scientifically developed than other structural techniques, such as NMR, X-ray crystallography and electron microscopy, that have a longer history of usage. In September of 2022 the first workshop of its kind was held to examine modern computational methods useful for simulating and analysing bioAFM experiments. Sponsored by a small IUPAB workshop grant, the three day meeting was of the hybrid (joint online /in person) type and had presenting participants based in Australia, UK, Finland, Thailand, South Korea, Vietnam and Japan. Each invited speaker was asked to deliver a lecture composed of half educational material (pitched at the level of an advanced postgraduate student) and half cutting edge research material (gathered from their own studies). IUPAB funds were used to invite young researchers (postgraduate students and early career scientists) from both within Japan and countries in the near asian region who had an interest in learning about the theoretical and experimental basis of the AFM technique. This Editorial describes the workshop and introduces the written contributions from the invited lecturers.