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Let Ω(n) denote the number of prime factors of n. We show that for any bounded f:N→C one has [ \frac{1}{N}\sum_{n=1}^N, f(\Omega(n)+1)=\frac{1}{N}\sum_{n=1}^N, f(\Omega(n))+\mathrm{o}_{N\to\infty}(1). ] This yields a ...
The beginning of the 21st century was marked by the advent of disruptive technologies, which ushered an era of groundbreaking advances in fundamental sciences, carried by the great pace at which computational capabilities spread and evolved. But the new ce ...
High T-cell infiltration in colorectal cancer (CRC) correlates with a favorable disease outcome and immunotherapy response. This, however, is only observed in a small subset of CRC patients. A better understanding of the factors influencing tumor T-cell re ...
BACKGROUND & AIMS: Colonic stem cells are essential for producing the mucosal lining, which in turn protects stem cells from insult by luminal factors. Discovery of genetic and biochemical events that control stem cell proliferation and differentiation can ...
Colorectal carcinoma (CRC) as a major health problem in industrialized countries is highly preventable and can be successfully treated in the early stages. However, incidence and mortality of CRC has increased over the last two decades. The reason could be ...
The sequestrant is a substance used to cure bile salt diarrhea. They bind to bile salts by hydrophobic and electrostatic forces to stop them from contact with colon mucosa. The block copolymer could be used as bile salt binding agents. Herein, the physicoc ...
The conventional nonparametric tests in survival analysis, such as the log-rank test, assess the null hypothesis that the hazards are equal at all times. However, hazards are hard to interpret causally, and other null hypotheses are more relevant in many s ...
SPROUTY-2 (SPRY2) is a modulator of tyrosine kinase receptor signaling with receptor-and cell type-dependent inhibitory or enhancing effects. Studies on the action of SPRY2 in major cancers are conflicting and its role remains unclear. Here we have dissect ...
Dietary fiber has been linked to improved gut health, yet the mechanisms behind this association remain poorly understood. One proposed mechanism is through its influence on the secretion of gut hormones, including glucagon-like peptide-1 (GLP-1) and gluca ...
For this project, the goal is to design a flexure-based gripper mechanism actuated by a Shape-Memory Alloy spring (SMA) and to be mounted on a drone. While being complex to control precisely and having a very small bandwith, SMA actuators show a formidable ...
