arXiv subjects

Francesco Pedaci

Publications and source records attributed to Francesco Pedaci.

5 recordsLinked to original sources

arXiv2025

Understanding and improving axial detection in optical tweezers based on the interference of forward- and backward- scattered light

Fast and accurate 3D position detection in optical tweezers (OT) is essential for quantitatively monitoring subtle variations in the mechanical properties of microscopic systems ranging from biomolecules to cells and colloids. Because standard OT configurations do not provide direct access to the axial position, axial detection typically relies on temporal fluctuations in forward-scattered optical power to infer the position of the particle. This approach generally assumes a linear-response regime in which the signal arises from the interference between the forward scattered and the nonscattered optical fields; however, under certain conditions, the backward-scattered contribution becomes non-negligible, leading to deviations from the linear response. Here, we present a simple yet comprehensive model for axial detection in standard OT while explicitly accounting for the backward-scattered field. Together with experimental validation, this framework neatly explains the standing-wave response observed when the backward-scattered field interferes with the nonscattered and the forward-scattered components, enabling accurate estimation of trap stiffness and particle diffusion under more general conditions. This work deepens our understanding of the phenomenology observed in real optical-tweezers measurements and extends their capabilities to conditions where standard approaches fail.

physics.optics↗

arXiv2024

Signature of (anti)cooperativity in the stochastic fluctuations of small systems: application to the bacterial flagellar motor

The cooperative binding of molecular agents onto a substrate is pervasive in living systems. To study whether a system shows cooperativity, one can rely on a fluctuation analysis of quantities such as the number of substrate-bound units and the residence time in an occupancy state. Since the relative standard deviation from the statistical mean monotonically decreases with the number of binding sites, these techniques are only suitable for small enough systems, such as those implicated in stochastic processes inside cells. Here, we present a general-purpose grand canonical Hamiltonian description of a small one-dimensional (1D) lattice gas with either nearest-neighbor or long-range interactions as prototypical examples of cooperativity-influenced adsorption processes. First, we elucidate how the strength and sign of the interaction potential between neighboring bound particles on the lattice determine the intensity of the fluctuations of the mean occupancy. We then employ this relationship to compare the theoretical predictions of our model to data from single molecule experiments on bacterial flagellar motors (BFM) of E. coli. In this way, we find evidence that cooperativity controls the mechano-sensitive dynamical assembly of the torque-generating units, the so-called stator units, onto the BFM. Furthermore, in an attempt to quantify fluctuations and the adaptability of the BFM, we estimate the stator-stator interaction potential. Finally, we conclude that the system resides in a sweet spot of the parameter space (phase diagram) suitable for a smoothly adaptive system while minimizing fluctuations.

physics.bio-ph↗

arXiv2022

Roadmap for Optical Tweezers

Optical tweezers are tools made of light that enable contactless pushing, trapping, and manipulation of objects ranging from atoms to space light sails. Since the pioneering work by Arthur Ashkin in the 1970s, optical tweezers have evolved into sophisticated instruments and have been employed in a broad range of applications in life sciences, physics, and engineering. These include accurate force and torque measurement at the femtonewton level, microrheology of complex fluids, single micro- and nanoparticle spectroscopy, single-cell analysis, and statistical-physics experiments. This roadmap provides insights into current investigations involving optical forces and optical tweezers from their theoretical foundations to designs and setups. It also offers perspectives for applications to a wide range of research fields, from biophysics to space exploration.

physics.optics↗

arXiv2021

Dynamic stiffening of the flagellar hook

Many bacteria are motile by means of one or more rotating rigid helical flagella, making them the only known organism to use rotation as a means of propulsion. The rotation is supplied by the bacterial flagellar motor, a particularly powerful rotary molecular machine. At the base of each flagellum is the hook, a soft helical polymer that acts as a universal joint, coupling rotation of the rigid membrane-spanning rotor to rotation of the rigid extra-cellular flagellum. In multi-flagellated bacterial species, where thrust is provided by a hydrodynamically coordinated bundle of flagella, the flexibility of the hook is particularly crucial, as many of the flagella within the bundle rotate significantly off-axis from their motor. But, consequently, the thrust produced by a single rotating flagellum applies a significant bending moment to the hook. So, the hook needs to simultaneously provide the compliance necessary for off-axis bundle formation and the rigidity necessary to withstand the large hydrodynamical forces of swimming. To elucidate how the hook can fulfill this double functionality, measurements of the mechanical behavior of individual hooks under dynamical conditions are needed. Here, via new high-resolution measurements and a novel analysis of hook fluctuations during in vivo motor rotation in bead assays, we resolve the elastic response of single hooks under increasing torsional stress, revealing a clear dynamic increase in their bending stiffness. Accordingly, the persistence length of the hook increases by more than one order of magnitude with applied torque. Such strain-stiffening allows the system to be flexible when needed yet reduce deformation under high loads, allowing cellular motility at high speed.

physics.bio-ph↗

arXiv2020

High resolution photonic force microscopy based on sharp nano-fabricated tips

Sub-nm resolution images can be achieved by Atomic Force Microscopy (AFM) on samples that are deposited on hard substrates. However, it is still extremely challenging to image soft interfaces, such as biological membranes, due to the deformations induced by the tip. Photonic Force Microscopy (PhFM), based on optical tweezers (OT), represents an interesting alternative for soft scanning-probe microscopy. Using light instead of a physical cantilever to hold the scanning probe results in a stiffness ($k_{OT}\sim0.1-0.001$ pN/nm) which can be 2-3 orders of magnitude lower than that of standard cantilevers ($k_{AFM}\sim 10$ pN/nm). Combined with nm resolution of displacement measurements of the trapped probe, this allows for imaging soft materials without force-induced artefacts. However, the size of the optically trapped probe, often chosen as a $\sim μ$m-size sphere, has so far limited the resolution of PhFM. Here we show a novel and simple nanofabrication protocol to massively produce optically trappable quartz particles which mimic the sharp tips of AFM. We demonstrate and quantify the stable trapping of particles with tips as sharp as 35 nm, the smallest used in PhFM to date. Raster scan images of rigid nanostructures with features smaller than 80 nm obtained with our tips compare well with AFM images of the same samples. Imaging the membrane of living malaria-infected red blood cells produces no visible artefacts and reveals the sub-micron structural features termed knobs, related to the parasite activity within the cell. The use of nano-engineered particles in PhFM opens the way to imaging soft and biological samples at high resolution.

physics.ins-det↗