RESUMEN
Droplets that spontaneously penetrate a gap between two hydrophobic surfaces without any external stimulus seems counterintuitive. However, in this work we show that it can be energetically favorable for a droplet to penetrate a gap formed by two hydrophobic or in some cases even superhydrophobic surfaces. For this purpose, we derived an analytical equation to calculate the change in Helmholtz free energy of a droplet penetrating a hydrophobic gap. The derived equation solely depends on the gap width, the droplet volume and the contact angle on the gap walls, and predicts whether a droplet penetrates a hydrophobic gap or not. Additionally, numerical simulations were conducted to provide insights into the gradual change in Helmholtz free energy during the process of penetration and to validate the analytical approach. A series of experiments with a hydrophobic gap having an advancing contact angle of [Formula: see text], a droplet volume of about 10 [Formula: see text]L and different gap widths confirmed the theoretical predictions. Limits and possible deviations between the analytical solution, the simulation and the experiments are presented and discussed.
RESUMEN
Changes in the DNA methylation landscape are associated with many diseases like cancer. Therefore, DNA methylation analysis is of great interest for molecular diagnostics and can be applied, e.g., for minimally invasive diagnostics in liquid biopsy samples like blood plasma. Sensitive detection of local de novo methylation, which occurs in various cancer types, can be achieved with quantitative HeavyMethyl-PCR using oligonucleotides that block the amplification of unmethylated DNA. A transfer of these quantitative PCRs (qPCRs) into point-of-care (PoC) devices like microfluidic Lab-on-Chip (LoC) cartridges can be challenging as LoC systems show significantly different thermal properties than qPCR cyclers. We demonstrate how an adequate thermal model of the specific LoC system can help us to identify a suitable thermal profile, even for complex HeavyMethyl qPCRs, with reduced experimental effort. Using a simulation-based approach, we demonstrate a proof-of-principle for the successful LoC transfer of colorectal SEPT9/ACTB-qPCR from Epi Procolon® colorectal carcinoma test, by avoidance of oligonucleotide interactions.
RESUMEN
The electric-double-layer structure in an electrolyte close to a solid substrate near the three-phase contact line is approximated by considering the linearized Poisson-Boltzmann equation in a wedge geometry. The mathematical approach complements the semianalytical solutions reported in the literature by providing easily available characteristic information on the double-layer structure. In particular, the model contains a length scale that quantifies the distance from the fluid-fluid interface over which this boundary influences the electric double layer. The analysis is based on an approximation for the equipotential lines. Excellent agreement between the model predictions and numerical results is achieved for a significant range of contact angles. The length scale quantifying the influence of the fluid-fluid interface is proportional to the Debye length and depends on the wall contact angle. It is shown that for contact angles approaching 90° there is a finite range of boundary influence.