Khinchin Families, Set Constructions, Partitions and Exponentials.

In this paper, we give a simple criterion to verify that functions of the form eg are in the Hayman class when g is a power series with nonnegative coefficients. Thus, using the Hayman and Báez-Duarte formulas, we obtain asymptotics for the coefficients of generating functions that arise in many examples of set construction in analytic combinatorics. This new criterion greatly simplifies the one obtained previously by the authors.

Global Citizenship Education.

UNESCO: United Nations Educational, Scientific and Cultural Organization's "global citizenship education" model provides the background for the Universidad de Monterrey intercultural competence initiative. Acting on Nelson Mandela's advice that "Education is the most powerful weapon which you can use to change the world," this cocurricular approach documented positive learning outcomes for UDEM's students.

Adaptive illumination reduces photobleaching in structured illumination microscopy.

Photobleaching is a major factor limiting the observation time in fluorescence microscopy. We achieve photobleaching reduction in structured illumination microscopy (SIM) by locally adjusting the illumination intensities according to the sample. Adaptive SIM is enabled by a digital micro-mirror device (DMD), which provides a projection of the grayscale illumination patterns. We demonstrate a reduction in photobleaching by a factor of three in adaptive SIM compared to the non-adaptive SIM based on a spot grid scanning approach. Our proof-of-principle experiments show great potential for DMD-based microscopes to become a more useful tool in live-cell SIM imaging.

Monitoring mRNA and protein levels in bulk and in model vesicle-based artificial cells.

With rising interest in utilizing cell-free gene expression systems in bottom-up synthetic biology projects, novel labeling tools need to be developed to accurately report the dynamics and performance of the biosynthesis machinery operating in various reaction conditions. Monitoring the transcription activity has been simplified by the Spinach technology, an RNA aptamer that emits fluorescence upon binding to a small organic dye. Recently, we tracked the fluorescence of Spinach-tagged messenger RNA (mRNA) and its translation product the yellow fluorescent protein (YFP), both synthesized in the protein synthesis using recombinant elements system from a DNA template. Building on our previous study, we describe here an improved Spinach reporter with modified flanking sequences that confer higher propensity for aptamer folding and, thus, enhanced fluorescence brightness. Hence, the kinetics of mRNA and YFP production could be simultaneously monitored with unprecedented sensitivity. A combination of methodologies, comprising RNA gel analysis, real-time quantitative polymerase chain reaction, absorbance measurements, and fluorescence correlation spectroscopy, was used to convert fluorescence intensity units into absolute concentrations of transcript and YFP translational product. Furthermore, we demonstrated that the new Spinach construct greatly enhanced mRNA detection when gene expression was confined inside self-assembled lipid vesicles. Therefore, we argue that this assay could be used to evaluate systematically the performance of transcription and translation in model vesicle-based artificial cells.