Publikationen

The mechanical properties of cells are important for many biological processes, including wound healing, cancers, and embryogenesis. Currently, our understanding of cell mechanical properties remains incomplete. Different techniques have been used to probe different aspects of the mechanical properties of cells, among them microplate rheology, optical tweezers, micropipette aspiration, and magnetic twisting cytometry. These techniques have given rise to different theoretical descriptions, reaching from simple Kelvin-Voigt or Maxwell models to fractional such as power law models, and their combinations. Atomic force microscopy (AFM) is a flexible technique that enables global and local probing of adherent cells. Here, using an AFM, we indented single retinal pigmented epithelium cells adhering to the bottom of a culture dish. The indentation was performed at two locations: above the nucleus, and towards the periphery of the cell. We applied creep compliance, stress relaxation, and oscillatory rheological tests to wild type and drug modified cells. Considering known fractional and semi-fractional descriptions, we found the extracted parameters to correlate. Moreover, the Young’s modulus as obtained from the initial indentation strongly correlated with all of the parameters from the applied power-law descriptions. Our study shows that the results from different rheological tests are directly comparable. This can be used in the future, for example, to reduce the number of measurements in planned experiments. Apparently, under these experimental conditions, the cells possess a limited number of degrees of freedom as their rheological properties change.

We carry out computational simulations of the Valsalva compression of an inferior vena cava (IVC) with a filter implanted in it. We find that when we treat the IVC wall as simply a boundary between 2 fluids and apply an external pressure on the IVC, the deformation magnitudes and patterns do not agree with data in the literature. We conclude that IVC compression is mainly caused by solid bodies (i.e. tissue and organs) compressing the IVC, and develop a model to simulate this phenomenon. We calibrate our model to data in the literature for Valsalva compression with and without an implanted filter. We then use our approach to predict the area reduction of the IVC during breathing when 2 different types of filters are implanted. Not surprisingly, we find that a compliant filter is less able to resist the compression of the IVC during respiration than a stiffer one, and we quantify the difference. We anticipate that, with further development, our model can be used to make assessments of design and testing parameters that can help to avoid fatigue failure of a filter that is subjected to millions of compressions due to breathing.

The bending of a superelastic Nitinol cantilever is analyzed, where the deformation is caused by a non-parallel, rigid, friction free constraining surface that approaches the cantilever at an angle, making contact first with its tip. The analysis accounts for geometric nonlinearity and the materially nonlinear behavior of the Nitinol. The constraining surface first causes a severe bending of the cantilever, then reverses its direction of motion and allows the cantilever to partially unbend. The severe bending causes an austenite to martensite phase transformation while the unbending allows partial or full reversal of the phase change, with these transformations being associated with the materially nonlinear response of the Nitinol. In the analysis, a single-cycle of bending and unbending is considered on the one hand, and, on the other, a partial cycle of bending and unbending is followed by fatigue straining of the cantilever. To impose the fatigue straining, the constraining surface is moved up and down cyclically. The results provide the state of mean strain and strain amplitude that the cantilever will experience during fatigue straining. It is noted that recent investigations of the fatigue properties of Nitinol show that, contrary to assumptions that previously prevailed, its fatigue life is influenced by the mean strain during strain cycling.

The theory of anisotropic generalised plane strain of line forces and dislocation lines is embedded in the three-dimensional elasticity of point forces and dislocation densities. Embedding in real space is achieved by slicing in reciprocal space using the projection-slice theorem.

Shear-driven strain localization has been observed in a wide variety of materials and may take the form of shear bands or kink bands. Based on observations of kink bands in plastically anisotropic metallic nanolaminates and single crystal metals, we posit that, for the specific case of isochoric deformation, the kinematics of kink band formation are indistinguishable from those of plane strain shear band formation. The only distinction between shear bands and kink bands in these systems would then be that kink bands ‘lock up’ at a particular value of material rotation while shear bands may progress to arbitrarily high strains. In order to investigate whether strong material anisotropy is sufficient to arrest shear localization at a geometry that matches the classic kink band geometry, we model the development of a band of simple shear within an anisotropic perfectly plastic material. The resulting analytical model provides the stress state needed to maintain the kinematics of simple shear as a function of material anisotropy, deformation band orientation, and shear strain (or equivalently, material rotation). It is found that plastic anisotropy can promote either kink band or shear band formation depending on the loading orientation. When the deviatoric stress is positive parallel to the plane of anisotropy, shear localization may progress without bound and a shear band is produced. When the deviatoric stress is negative parallel to the plane of anisotropy, shear localization is arrested after a certain material rotation, resulting in a kink band. Examination of the requisite applied stress state during kink band formation provides an explanation for the experimentally-observed ‘lock up’ geometry. Solutions for the band boundary inclination angle are obtained and used to provide bounds on permissible band angles for both shear bands and kink bands.

The cytoskeletal protein vimentin is secreted under various physiological conditions. Extracellular vimentin exists primarily in two forms: attached to the outer cell surface and secreted into the extracellular space. While surface vimentin is involved in processes such as viral infections and cancer progression, secreted vimentin modulates inflammation through reduction of neutrophil infiltration, promotes bacterial elimination in activated macrophages, and supports axonal growth in astrocytes through activation of the IGF-1 receptor. This receptor is overexpressed in cancer cells, and its activation pathway has significant roles in general cellular functions. In this study, we investigated the functional role of extracellular vimentin in non-tumorigenic (MCF-10a) and cancer (MCF-7) cells through the evaluation of its effects on cell migration, proliferation, adhesion, and monolayer permeability. Upon treatment with extracellular recombinant vimentin, MCF-7 cells showed increased migration, proliferation, and adhesion, compared to MCF-10a cells. Further, MCF-7 monolayers showed reduced permeability, compared to MCF-10a monolayers. It has been shown that the receptor binding domain of SARS-CoV-2 spike protein can alter blood–brain barrier integrity. Surface vimentin also acts as a co-receptor between the SARS-CoV-2 spike protein and the cell-surface angiotensin-converting enzyme 2 receptor. Therefore, we also investigated the permeability of MCF-10a and MCF-7 monolayers upon treatment with extracellular recombinant vimentin, and its modulation of the SARS-CoV-2 receptor binding domain. These findings show that binding of extracellular recombinant vimentin to the cell surface enhances the permeability of both MCF-10a and MCF-7 monolayers. However, with SARS-CoV-2 receptor binding domain addition, this effect is lost with MCF-7 monolayers, as the extracellular vimentin binds directly to the viral domain. This defines an influence of extracellular vimentin in SARS-CoV-2 infections.

Dynamic exchange reactions in covalent adaptable networks (CANs) are difficult to probe directly via various macroscopic mechanical methods. Herein, we report a fluorescent strategy for directly reporting the dynamic bond exchange in transesterification-based CANs by using folding molecular probes. The folding probes (PDI-dimers) consist of two perylene diimide (PDI) cores, a spacer of dynamic esters between the two PDI cores, and reactive terminal groups. During transesterification in CANs, the PDI-dimers unfold their PDI excimers to show a sharp fluorescent color change from orange to bright yellow. This visual strategy is demonstrated by a crosslinked thiol-Michael network (TMN) and poly(4-hydroxybutyl acrylate) network (PHBA). The dynamic behaviors like stress relaxation and self-stiffening in these CANs can be directly read out via the change of fluorescent color. This method can provide quantitative information and show spatiotemporal resolution and therefore, can be applied to probe various dynamic chain exchange mechanisms in crosslinked materials.

The “solid-liquid” behavior of vitrimers have not been systematically investigated. Herein, a series of “solid-liquid” vitrimers bearing varying contents of dynamic boronic ester bonds were synthesized via thiol-ene click reactions. These vitrimers allow for flexibile modulation of their network structures and thus show a range of intriguing properties including high stretchability, flexible transition from elasticity to plasticity, strong strain rate dependence, and solid-liquid performance. The dynamic association rate of boronic ester bonds within these vitrimers could be apparently accelerated via increasing the content of boronic ester, which could be used to shape-program the flat vitrimer films into various complex 3D structures just with external force. Materials with such versatile dynamic behavior may open up a range of new applications.

On-demand manipulation of droplets on surfaces plays an important role for many applications but the fabrication of a platform capable of efficient stimuli-free pinning on any tilted surfaces without any external forces and precise motion of droplets at different states is still challenging. Herein we report a novel magnetoresponsive semi-infused adaptive surface for droplet manipulations. The responsive surface is made by semi-infusing a magnetic-responsive lubricant into a porous substrate. The topography of the surface can be reversibly switched between semi-infused and oil-accumulated states by the availability of an external magnetic field. The switching can turn droplets from a Cassiel state to a Wenzel state and the systems allow for stimuli-free pinning of droplets in a tilted state and on-demand motion of liquid droplets. This platform may have potential in the design of smart material interfaces, microfluidic devices, and chemical reactors.

Metal-assisted chemical etching (MACE) affords porous silicon nanostructures control over size, shape, and porosity in a single step. Simplicity and flexibility are potential advantages over more traditional silicon bulk micromachining techniques. MACE-generated porous micro- and nanostructures are suitable as biomaterials through their length scales and biocompatibility. This work provides a comprehensive overview of the MACE reaction mechanism that yields biomedically relevant silicon nanostructures – from nanowires, nanopillars, to sub-micrometer holes and pores. We discuss their biomedical applications in biosensors, cell capture and transfection arrays, and drug delivery vectors. We assess the reported benefits of the various nanostructures and discuss whether MACE provides clear and distinct advantages over other techniques. The flexibility and simplicity of MACE comes at a cost. The reaction parameters are many and inter-related, and we lack a full model of the etching mechanism. While the cathode reaction is well understood, the anode reaction involving dissolution of the silicon remains controversial. Such uncertainties impede rational design of specific structures that address biomedical requirements. We summarize current understanding to provide design guidelines for structures used in biomedicine and review the effects of key parameters on the morphological attributes of the etched features.