We construct a small arithmetic package operating on discrete sequences: u0, u1, u2, . . . treated as single mathematical entities. Applying functions to sequences by the generalized map, or adding them element-wise is quite trivial, but if the sequences are regular, e.g. if they are arithmetic or geometric progressions, a much more compact and in several cases much more efficient representatio...

background: the majority of α-thalassemi mutations are deletions of one or both α-globin genes. since the iranian populaion is a mixture of different ethnic groups, frequency and distribution of globin mutations in various regions of the country need to be clarified. the aim of this study was to determine the common alpha globin gene deletions among individuals with hypochromic microcytic anemi...

background: th e second leading cause of cancer deaths in women is breast cancer. germline mutations in susceptibility breast cancer gene brca1 increase the lifetime risk of breast cancer. eighty-one large genomic rearrangements (lgrs) have been reported up to date in brca1 gene, and evaluation of these rearrangements helps with precise risk assessment in high-risk individuals. in this study, w...

This article studies the cardinality of perfect multi deletion binary codes. The lower bound for any code with fixed length and number deletions, asymptotic achievability Levenshtein's upper are shown.

In this paper, we resolve the one-pass space complexity of perfect $L_p$ sampling for $p \in (0,2)$ in a stream. Given stream updates (insertions and deletions) to coordinates an underl...

Eluding detection Influenza viruses evade immunity initiated by previous infection, which explains recurrent influenza pandemics. Unlike the error-prone RNA-dependent RNA polymerase of influenza, severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) and related contain polymerases with proofreading activity. However, cannot correct deletions, during a long-term persistent infection could...

We analyzed the AZFc region of the Y-chromosome for complete (b2/b4) and distinct partial deletions (gr/gr, b1/b3, b2/b3) in 822 infertile and 225 proven fertile men. We observed complete AZFc deletions in 0.97% and partial deletions in 6.20% of the cases. Among partial deletions, the frequency of gr/gr deletions was the highest (5.84%). The comparison of partial deletion data between cases and...

It have been suggested that hepatitis B virus (HBV) pre-S deletions may play a role in hepatocarcinogenesis. The aim of the study was to determine the prevalence of pre-S deletions in chronic hepatitis B patients in Hong Kong, the factors associated with the deletions and its relationship with hepatitis B e antigen (HBeAg) seroconversion. HBV pre-S deletions were determined by nucleotide sequen...

We developed several novel tools to genome wide screen for CNVs and SNPs in single cells. When applied to cleavage stage embryos from young fertile couples we discovered, unexpectedly, an extremely high incidence of chromosomal instability, a hallmark of tumorigenesis (Vanneste et al., Nature Medicine, 2009; Vanneste et al., Hum.Reprod., 2011). Not only mosaicisms for whole chromosome aneuploid...