The dimeric motor protein kinesin-1 moves processively along microtubules against forces of up to 7 pN. However, the mechanism of force generation is still debated. Here, we point to the crucial importance of diffusion of the tethered motor domain for the stepping of kinesin-1: small crowders stop the motor at a viscosity of 5 $\mathrm{m}\mathrm{P}\mathrm{a}·\mathrm{s}$—corresponding to a hydrodynamic load in the sub-fN ($\sim 10^{-4}\mathrm{pN}$) range—whereas large crowders have no impact even at viscosities above 100 $\mathrm{m}\mathrm{P}\mathrm{a}·\mathrm{s}$. This indicates that the scale-dependent, effective viscosity experienced by the tethered motor domain is a key factor determining kinesin’s functionality. Our results emphasize the role of diffusion in the kinesin-1 stepping mechanism and the general importance of the viscosity scaling paradigm in nanomechanics.

We measure the activation energy ${E}_{a}$ for the diffusion of molecular probes (dyes and proteins of radii from 0.52 to 6.9 nm) and for macroscopic flow in a model complex liquid\char22{}aqueous solutions of polyethylene glycol. We cover a broad range of polymer molecular weights, concentrations, and temperatures. Fluorescence correlation spectroscopy and rheometry experiments reveal a relationship between the excess of the activation energy in polymer solutions over the one in pure solvent $$\Delta${}{E}_{a}$ and simple parameters describing the structure of the system: probe radius, polymer hydrodynamic radius, and correlation length. $$\Delta${}{E}_{a}$ varies by more than an order of magnitude in the investigated systems (in the range of ca. $1\char21{}15\text{ }\text{ }\mathrm{kJ}/\mathrm{mol}$) and for probes significantly larger than the polymer hydrodynamic radius approaches the value measured for macroscopic flow. We develop an explicit formula describing the smooth transition of $$\Delta${}{E}_{a}$ from the diffusion of molecular probes to macroscopic flow. This formula is a reference for the quantitative analysis of specific interactions of moving nano-objects with their environment as well as active transport. For instance, the power developed by a molecular motor moving at constant velocity $u$ is proportional to ${u}^{2}\mathrm{exp}{}({E}_{a}/RT)$.

We showed that the Taylor Dispersion Analysis (TDA) is a fast and easy to use method for the study of denaturation proteins. We applied TDA to study denaturation of β-lactoglobulin, transferrin, and human insulin by anionic surfactant sodium dodecyl sulfate (SDS). A series of measurements at constant protein concentration (for transferrin was 1.9 x 10⁻⁵ M, for β- lactoglobulin was 7.6 x 10⁻⁵ M, and for insulin was 1.2 x 10⁻⁴ M) and varying SDS concentrations were carried out in the phosphate-buffered saline (PBS). The structural changes were analyzed based on the diffusion coefficients of the complexes formed at various surfactant concentrations. The concentration of surfactant was varied in the range from 1.2 x 10⁻⁴ M to 8.7 x 10⁻² M. We determined the minimum concentration of the surfactant necessary to change the native conformation of the proteins. The minimal concentration of SDS for β-lactoglobulin and transferrin was 4.3 x 10⁻⁴ M and for insulin 2.3 x 10⁻⁴ M. To evaluate the TDA as a novel method for studying denaturation of proteins we also applied other methods i.e. electronic circular dichroism (ECD) and dynamic light scattering (DLS) to study the same phenomenon. The results obtained using these methods were in agreement with the results from TDA.

The equilibrium and rate constants of molecular complex formation are of great interest both in the field of chemistry and biology. Here, we use fluorescence correlation spectroscopy (FCS), supplemented by dynamic light scattering (DLS) and Taylor dispersion analysis (TDA), to study the complex formation in model systems of dye–micelle interactions. In our case, dyes rhodamine 110 and ATTO-488 interact with three differently charged surfactant micelles: octaethylene glycol monododecyl ether C₁₂E₈ (neutral), cetyltrimethylammonium chloride CTAC (positive) and sodium dodecyl sulfate SDS (negative). To determine the rate constants for the dye–micelle complex formation we fit the experimental data obtained by FCS with a new form of the autocorrelation function, derived in the accompanying paper. Our results show that the association rate constants for the model systems are roughly two orders of magnitude smaller than those in the case of the diffusion-controlled limit. Because the complex stability is determined by the dissociation rate constant, a two-step reaction mechanism, including the diffusion-controlled and reaction-controlled rates, is used to explain the dye–micelle interaction. In the limit of fast reaction, we apply FCS to determine the equilibrium constant from the effective diffusion coefficient of the fluorescent components. Depending on the value of the equilibrium constant, we distinguish three types of interaction in the studied systems: weak, intermediate and strong. The values of the equilibrium constant obtained from the FCS and TDA experiments are very close to each other, which supports the theoretical model used to interpret the FCS data.

The structural dynamics of proteins is crucial to their biological functions. A precise and convenient method to determine the structural changes of a protein is still urgently needed. Herein, we employ fluorescence correlation spectroscopy (FCS) to track the structural transition of bovine serum albumin (BSA) in low concentrated cationic (cetyltrimethylammonium chloride, CTAC), anionic (sodium dodecyl sulfate, SDS), and nonionic (pentaethylene glycol monododecyl ether, C₁₂E₅ and octaethylene glycol monododecyl ether, C₁₂E₈) surfactant solutions. BSA is labelled with the fluorescence dye called ATTO-488 (ATTO-BSA) to obtain steady fluorescence signals for measurements. We find that the diffusion coefficient of BSA decreases abruptly with the surfactant concentration in ionic surfactant solutions at concentrations below the critical micelle concentration (CMC), while it is constant in nonionic surfactant solutions. According to the Stokes–Sutherland–Einstein equation, the hydrodynamic radius of BSA in ionic surfactant solutions amounts to ∼6.5 nm, which is 1.7 times larger than in pure water or in nonionic surfactant solutions (3.9 nm). The interaction between BSA and ionic surfactant monomers is believed to cause the structural transition of BSA. We confirm this proposal by observing a sudden shift of the fluorescence lifetime of ATTO-BSA, from 2.3 ns to ∼3.0 ns, in ionic surfactant solutions at the concentration below CMC. No change in the fluorescence lifetime is detected in nonionic surfactant solutions. Moreover, by using FCS we are also able to identify whether the structural change of protein results from its self-aggregation or unfolding.