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Dual Embedding: A Fine-Tuned Language Model Approach for Accurate Polymer Glass Transition Temperature Prediction
No full textInternational audienc
A Novel Method to Calibrate Spring‐Network Cell Model in Hydrodynamic Flow
No full textInternational audienceOne of the primary challenges encountered during the extrusion bioprinting process involves managing mechanical stresses within the printer nozzle. These stresses ultimately have an impact on the health and functionality of the cells within the printed structure. Statistical models in bioprinting predict cell damage but are empirical, disregard key interactions, and lack single-cell prediction. Our ultimate objective is to develop an efficient validated computational model simulating human dermal fibroblast deformability in extrusion bioprinting, considering all important interactions. The spring-network model shows promise in simulating cellular deformation. However, its widespread adoption and efficiency rely on a significant challenge of accurately calibrating model coefficients. This calibration process is complex due to the lack of a manual method tailored for eukaryotic cells suspended in hydrodynamic flow. In this study, we described a new method to calibrate the model coefficients manually for human dermal fibroblasts. To achieve this calibration, experimental data of human dermal fibroblasts passing through narrow microfluidics constriction was used. The calibration process was initiated by using coefficients associated with red blood cells and subsequently adjusted by comparing the model's behavior with experimental data. The elastic coefficients were calibrated to closely replicate the entry time observed in the experiments with a 5% error margin. However, notable differences persisted in the cell deformation behavior between simulation and experiment. Moreover, adding membrane viscosity minimally reduced transient cell deformation by less than 10% without affecting steady-state deformatio
Fixed-time switching control of a turbofan aero-engine under non-ideal parameters
No full textInternational audienc
Asymptotic Betti numbers of random subcomplexes
No full text13 pages, 3 figures.International audienceWe prove that the normalized expected Betti numbers of a random subcomplex in the -th barycentric subdivision of a finite simplicial complex converge to universal limits as grows to
Near-infrared polarization-entangled photons from GaAs crossed nanowires
No full textNational audienc
Derivative formula for capacities
No full textWe obtain a derivative formula for various notions of capacity. Namely we identify the second order term in the asymptotic expansion of the capacity of a union of two sets, as their distance goes to infinity. Our result applies to the usual Newtonian capacity in the setting of random walks on the Euclidean lattice, to the family of Bessel-Riesz capacities, and to the Branching capacity, which has been introduced recently by Zhu [9] in connection with critical Branching random walks. On the other hand, the result remains open for the notion of capacity in the setting of percolation, which is introduced in a companion paper, but serves as a motivation, as it would have some interesting consequences there
Mathematical modeling of the feather follicle morphogenetic wave in birds
No full textInternational audienceDuring the development of the avian skin, feather follicles are produced in a medio-lateral morphogenetic wave that results in their spatial arrangement in typical patterns. This wave involves the timely acquisition of pattern-forming competence followed by a row-by-row produc tion of feather follicles. While several mathematical models combining self-organizing systems accurately reproduced dynamics of feather follicle pattern formation, the events that control timely parameters of wave propagation remain poorly understood. Here, we built on previous modeling work to theoretically calculate the speed at which tissue competence progresses. Using a weakly non-linear analysis, we calculated the speed at which follicles emerge once competence is attained. We produced numerical simulations of our model to predict the respective influences of competence acquisition and follicle emergence on each other and on wave propagation. Our results show that the theoretical speed of follicle emergence is limited by competence acquisition, but that, in turn, competence acquisition is not constrained by follicle emergence. This modeling work provides an approximation of the timely parameters of the morphogenetic wave, and sheds light on the interplay between competence and patterning events in the developing skin
Multi-mechanistic silica core-gold nanoparticles satellites for efficient mercury trace characterization in environmental media.
No full textAfter several decades of research and observation of mercury dissemination in the environment, there is still some challenge to sample and analyze correctly in various matrices. This is specific to this element with various concentration and complex speciation with multiple bias from the sampling to the final quantification. Here, we present a highly effective silica core–gold nanoparticle satellites (Si@AuNP) structure that allow mercury capture through three comprehensive synergistic mechanisms: thiol complexation, citrate-mediated reduction, and direct amalgamation. Unlike conventional gold-based amalgam systems, our Si@AuNPs capture both Hg(II) and Hg(0) directly at the colloidal surface without requiring external reducing agents
On non-tameness of the Ellis semigroup
No full textInternational audienceThe Ellis semigroup of a dynamical system is tame if every element is the limit of a sequence (as opposed to a net) of homeomorphisms coming from the action. This topological property is related to the cardinality of the semigroup. Non-tame Ellis semigroups have a cardinality which is that of the power set of the continuum .The semigroup admits a minimal bilateral ideal and this ideal is a union of isomorphic copies of a group , the so-called structure group of . For almost automorphic systems the cardinality of is at most , that of the continuum. We show a partial converse for minimal with abelian , namely that the cardinality of the structure group is if the proximal relation is not transitive and the subgroup generated by differences of singular points in the maximal equicontinuous factor is not open.This refines the above statement about non-tame Ellis semigroups, as it locates a particular algebraic component of the latter which has such a large cardinality
Une version quantitative des inégalités de Sobolev sous-optimales
No full textInternational audienceWe present two new families of integral inequalities involving Sobolev seminorms associated with compact Sobolev embeddings. These inequalities quantify the fact that, on "many" small balls of a given domain, quantitative Sobolev embeddings are "much better" than predicted by scaling arguments.On présente deux nouvelles familles d’inégalités intégrales impliquant des semi-normes de Sobolev, associées aux injections de Sobolev compactes. Ces inégalités quantifient le fait que, sur "un grand nombre" de boules contenues dans un domaine fixé, les inégalités de Sobolev quantitatives se comportent "bien mieux" que suggéré par un argument de mise à l’échelle