PubMed Health⌕ Search
Home/Archive/PubMed

PubMed · 753906

An explicit formula for frequency changes in genetic algebras.

I Heuch
View original source ↗Export metadata ↓

Abstract

A general situation in population genetics is considered with any hereditary system described by a genetic algebra. It is assumed that there is random mating, no selection, and infinite population size. A formula is derived for the distribution of genetic types in the general jth generation given the distribution in the initial generation. Special attention is paid to the case of one locus with polyploidy and chromosome segregation. The calculations are carried out as far as possible in the situation with triploid gametes.

Explore related subjects

Gene FrequencyGenetics, PopulationMathematicsModels, BiologicalPolyploidySelection, GeneticJournal Article

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

I Heuch. 1977-12-27. An explicit formula for frequency changes in genetic algebras.. https://doi.org/10.1007/bf00275805

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related citations

PubMed2007

The interleukin-10 gene promoter polymorphism -1087AG does not correlate with clinical outcome in non-Hodgkin's lymphoma.

The Interleukin 10 (IL-10) gene is highly polymorphic, and the IL-10(-1087AG) (rs1800896) gene variation is the only so far studied intensively in association with certain diseases. Conflicting data have been published about an association of IL-10(-1087AG) gene variation with lower rates of complete remission and lower overall survival (OS) in patients with diffuse large B-cell lymphoma. To further investigate this in malignant lymphoma, we established the IL-10 genotypes in patients from the NHL-B1/ B2 studies from the German High-Grade Non-Hodgkin's Lymphoma Study Group. In our study, allele frequencies of lymphoma patients are comparable as in healthy controls. No increase of IL-10(-1087G) alleles was found. In addition we did not find any difference in OS or event-free survival between patients with IL-10(-1087AA) and the other genotypes. Comparable results were obtained for the IL-10 loci at -3538 (A/T), -1354 (A/G), -824 (C/T) and -597 (A/C) (rs1800890, rs1800893, rs1800871 and rs1800872).

Gene Frequency↗
PubMed2006

Association evidence of schizophrenia with distal genomic region of NOTCH4 in Taiwanese families.

Evidence for association with schizophrenia has been reported for NOTCH4, although results have been inconsistent. Previous studies have focused on polymorphisms in the 5' promoter region and first exon of NOTCH4. Our aim was to test the association of the entire genomic region of NOTCH4 in 218 families with at least two siblings affected by schizophrenia in Taiwan. We genotyped seven single nucleotide polymorphisms (SNPs) of this gene, with average intermarker distances of 5.3 kb. Intermarker linkage disequilibrium (LD) was calculated using gold software, and single-locus and haplotype association analyses were performed using transmit software. We found that the T allele of SNP rs2071285 (P= 0.035) and the G allele of SNP rs204993 (P= 0.0097) were significantly preferentially transmitted to the affected individuals in the single-locus association analysis. The two SNPs were in high LD (D' > 0.8). Trend for overtransmission was shown for the T-G haplotype of the two SNPs to affected individuals (P= 0.053), with the A-A haplotype significantly undertransmitted (P= 0.034). The associated region distributed across the distal portion of the NOTCH4 gene and overlapped with the genomic region of the G-protein signaling modulator 3 and pre-B-cell leukemia transcription factor 2. In summary, we found modest association evidence between schizophrenia and the distal genomic region of NOTCH4 in this Taiwanese family sample. Further replication for association with the distal genomic region of NOTCH4 is warranted.

Gene Frequency↗