{"doi":"10.1016/j.rbmo.2024.104428","title":"Predicting frequency distributions of blastocyst biopsy genotypes by their discrete cohort size using the binomial theorem","abstract":"RESEARCH QUESTION: How are blastocyst biopsy genotypes distributed as a function of cohort size, and how well does the binomial theorem predict the specific distribution of euploid genotypes across different cohort sizes? DESIGN: and meiotic (containing whole chromosome errors alone), stratified by patient age (<37 years versus ≥37 years) and cohort size (10 discrete groups). 'Observed' distributions of individual euploid blastocysts/cohort were compared with binomially 'expected' distributions using the overall probability for euploidy for each age group. RESULTS: cohorts. While the odds of being euploid also increased for each 1-unit increase in cohort size, the observed peak number of euploid blastocysts/cohort was lower than predicted binomially in all size quartiles. CONCLUSIONS: The binomial theorem can predict the probability distributions of euploid genotypes in cohort sizes exceeding four in patients aged <37 years without a biopsy. However, in smaller cohort sizes for patients aged >37 years and all cohort sizes in patients aged ≥37 years, there were fewer euploid blastocysts/cohort than predicted binomially; thus, untransferred mosaic/segmental genotypes represent a repository of pregnancy potential.","journal":"Reproductive BioMedicine Online","year":2024,"id":481177,"datarank":0.0,"base_score":0.0,"endowment":0.0,"self_citation_contribution":0.0,"citation_network_contribution":0.0,"self_endowment_contribution":0.0,"citer_contribution":0.0,"corpus_percentile":null,"corpus_rank":null,"citation_count":1,"citer_count":0,"citers_with_citation_signal":0,"citers_with_endowment":0,"datacite_reuse_total":0,"is_dataset":false,"is_dataset_confidence":0.5301,"is_data_producer":false,"deposit_databanks":null,"is_oa":true,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":"2024-01-01","fair_score":null,"fair_percentile":null,"algorithm_id":"datarank_citation_only_1hop_v6","ranking_scope":"data_only","authors":[{"id":1108084,"name":"Brienne Walker","orcid":null,"position":1,"is_corresponding":false},{"id":512218,"name":"Hyeong Jun Ahn","orcid":"0000-0002-1510-1125","position":2,"is_corresponding":false},{"id":894053,"name":"Kyle Ishikawa","orcid":"0000-0002-4181-8648","position":3,"is_corresponding":false},{"id":1321271,"name":"Christina Arnett","orcid":null,"position":4,"is_corresponding":false},{"id":1321272,"name":"Christopher T.F. Huang","orcid":null,"position":5,"is_corresponding":false},{"id":1107767,"name":"Thomas Huang","orcid":"0000-0002-3257-0572","position":0,"is_corresponding":true}],"reference_count":56,"raw_metadata":null,"created_at":"2026-07-19T02:07:06.225103Z","pmid":"40174295","pmcid":null,"fwci":null,"citation_percentile":null,"influential_citations":0,"oa_status":null,"license":null,"views":0,"total_file_size_bytes":0,"version_count":0,"fair_f":null,"fair_a":null,"fair_i":null,"fair_r":null,"fair_zscore":null,"fair_rationale":null,"fair_model":null,"fair_agent_version":null,"fair_fulltext_source":null,"fair_has_llm":null,"fair_computed_at":null,"clinical_trials":[],"software_tools":[],"db_accessions":[],"linked_datasets":[],"topics":[]}