【摘要】 目的 推导常用亲缘关系指数的通用计算公式。方法 通过引入克罗内克符号，将不同基因型组合下同一亲缘关系指数的计算公式归纳为统一表达式。结果 成功推导出多种鉴定情形下亲缘关系指数的通用公式，包括单方生母不参与或参与时两个体间的亲权指数、全同胞关系指数、半同胞关系指数、叔侄关系指数、祖孙关系指数、一级堂表亲关系指数和二级堂表亲关系指数，生母不参与或参与时祖父母与孩子间的祖孙关系指数，双方生母均参与时两孩子间的半同胞关系指数，三孩子间的全同胞关系指数，以及生母不参与、单方生母参与或双方生母均参与时三孩子间的半同胞关系指数。结论 本研究给出的通用公式简化了亲缘关系指数的计算，便于通过编程实现快速准确计算。更多还原

【Abstract】 Objective To derive general formulas for calculating commonly used kinship index(KI).Methods By introducing the Kronecker symbol, the formulas used to calculate the same KI under different genotype combinations were summarized into a unified expression. Results The general formulas were successfully derived for KI in various case situations, including the paternity index, full sibling index, half sibling index, avuncular index, grandpaternity index, first-cousin index, and secondcousin index between two individuals without or with the mother being involved; grandpaternity index between grandparents and a grandchild without or with the mother being involved; half sibling index between two children with two mothers being involved; full sibling index among three children; and half sibling index among three children with no, one, or two mothers being involved. Conclusion The general formulas given in this study simplify the calculation of KIs and facilitate fast and accurate calculation through programming.更多还原