We present in this article a genetic type interacting particle systems algorithm and a genealogical model for estimating a class of rare events arising in physics and network analysis. We represent the distribution of a Markov process hitting a rare target in terms of a Feynman–Kac model in path space. We show how these branching particle models described in previous works can be used to estima...

Principal components analysis, PCA, is a statistical method commonly used in population genetics to identify structure in the distribution of genetic variation across geographical location and ethnic background. However, while the method is often used to inform about historical demographic processes, little is known about the relationship between fundamental demographic parameters and the proje...

Inference about population history from DNA sequence data has become increasingly popular. For human populations, questions about whether a population has been expanding and when expansion began are often the focus of attention. For viral populations, questions about the epidemiological history of a virus, e.g., HIV-1 and Hepatitis C, are often of interest. In this paper I address the following...

Acknowledgements I want to thank and acknowledge all the people who have help me with this thesis in the different ways they could help me.  Andreas Kerren, because he accepted me to develop this project.  Ilir Jusufi, to be my guide and spend his time with me helping and guiding with this project  My family, specially my parents to support me whenever I needed and helping me from Spain and ...

Evolutionary models for populations of constant size are frequently studied using the Moran model, the Wright–Fisher model, or their diffusion limits. When evolution is neutral, a random genealogy given through Kingman's coalescent is used in order to understand basic properties of such models. Here, we address the use of a genealogical perspective for models with weak frequency-dependent selec...

BACKGROUND Cardiac valvular diseases contribute to >42,000 deaths yearly in the United States, but the role of genetics in these deaths is unknown. This study evaluated the familiality of death resulting from aortic, mitral, and all valvular diseases using a population-based genealogy linked to death records. METHODS AND RESULTS The Utah Population Database contains >2 million individual reco...

OBJECTIVE To investigate the parental relationship of patients with multiple sclerosis (MS) from an extended pedigree with extensive genealogical information up to the middle of the 18th century. DESIGN Multiple sclerosis is a complex disease resulting from genetic and environmental factors. Parent-of-origin effect, a phenomenon when the same allele may express differently depending on the se...

This article discusses the central role of KH. Sahal Mahfudh as a breaker thought dullness among Nahdliyin through genealogical approach to jurisprudence civilization. Nahdlatul Ulama (NU), one largest Islamic organizations in Indonesia, plays significant shaping religious identity and civilization society. However, like other organizations, NU also face challenges rapid social, political, tech...

background considering the cognitive and linguistic complexity of discourse production, it is expected that individuals with traumatic brain injury (tbi) should face difficulties in this task. therefore, clinical examination of discourse has become a useful tool for studying and assessment of communication skills of people suffering from tbi. among different genres of discourse, persuasive disc...