Our focus here is on the infinitesimal model. In this model, one or several quantitative traits
are described as the sum of a genetic and a non-genetic component, the first being …

MicroRNAs (miRNAs) are a recently discovered class of small, non-coding RNAs that
regulate protein levels post-transcriptionally. miRNAs play important regulatory roles in many …

BACKGROUND Numerous studies have demonstrated the existence of stable regulatory
RNAs, microRNAs (miRNAs), in the circulation and have shown that the spectrum of these …

A central challenge in the analysis of genetic variation is to provide realistic genome simulation
across millions of samples. Present day coalescent simulations do not scale well, or use …

7.1. The basic superprocesses as building blocks 125 Perkins’ stochastic calculus 127 7.2.
A discrete approximation 127 7.3. A countable representation 129 7.4. Dawson’s Girsanov …

MicroRNAs (miRNAs) have been implicated to play key roles in normal physiological
functions, and altered expression of specific miRNAs has been associated with a number of …

Louis Bachelier’s 1900 PhD thesis Théorie de la Spéculation introduced mathematical
finance to the world and also provided a kind of agenda for probability theory and stochastic …

Human plasma has long been a rich source for biomarker discovery. It has recently become
clear that plasma RNA molecules, such as microRNA, in addition to proteins are common …

This text is designed for first courses in financial calculus aimed at students with a good
background in mathematics. Key concepts such as martingales and change of measure are …

The Extracellular RNA Communication Consortium (ERCC) was launched to accelerate
progress in the new field of extracellular RNA (exRNA) biology and to establish whether …