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Mathematical model method of multi-gene character inheritance

A mathematical model and polygenic technology, applied in the field of genetics, can solve the problems such as insufficient understanding of the inheritance of quantitative traits, wrong distribution and representation of quantitative traits in the allele logarithmic calculation method, etc. method accurate effect

Inactive Publication Date: 2016-11-09
要学棣
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Problems solved by technology

[0005] The reason why there are many erroneous views on the inheritance of quantitative traits is mainly due to the fact that people do not have a thorough understanding of the inheritance of quantitative traits, especially the calculation method of the logarithm of alleles and the representation of the distribution form of quantitative traits.

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  • Mathematical model method of multi-gene character inheritance

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Embodiment Construction

[0013] The present invention will be further explained below in conjunction with specific embodiments.

[0014] The mathematical model method of a kind of polygenic trait inheritance that the present invention proposes comprises calculating the allelic logarithm of polygenic trait inheritance with the binomial theorem or Yang Hui's triangle, and proves the distribution pattern of quantitative trait with analytical formula y=2kx+b It is a continuous trait distribution. In the analytical formula, b represents the basic value of a certain quantitative trait, x represents the variable of the positive gene that determines the trait, y represents the function of the trait, and k represents the effect of each minor gene.

[0015] In the present invention, the relationship between alleles and genotypes in polygenic inheritance is: if there are n pairs of alleles, 2 pairs of alleles can be produced. n gametes, the total number of genotypes is (2 n ) 2 species, and is equal to the sum...

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Abstract

The invention discloses a mathematical model method of quantitative character inheritance. A binomial theorem or Pascal's Triangle is used for calculating the allele logarithm of multi-gene character inheritance, and an analytic expression y=2kx+b is used for proving that the distribution pattern of the quantitative character is continuous character distribution, wherein b in the analytic expression shows the basic value of a certain quantitative character, x shows a variable for determining the positive gene of the character, y shows the function of the character, and k shows the effect of each minor gene. The mathematical model method of the multi-gene character inheritance has a clear and lucid pattern of manifestation and is accurate, a method which combines the binomial theorem or Pascal's Triangle with a practical situation is used for calculating the allele logarithm of the multi-gene character inheritance so as to more conform to reality and be more accurate, and a situation that the quantitative character is continuous character distribution can be accurately proved.

Description

technical field [0001] The invention relates to the field of genetics, in particular to a mathematical model method for the inheritance of polygenic traits. Background technique [0002] A mathematical model is an equation or inequality established with letters, numbers, and other mathematical symbols for a certain purpose, as well as a mathematical structural expression that describes the characteristics of objective things and their internal connections such as diagrams, images, and block diagrams. The mathematical model method is a mathematical method that constructs a corresponding mathematical model for the problem under investigation, and solves the problem through the study of the mathematical model. [0003] Today, in the field of genetics, especially in the field of medical genetics, there are some misunderstandings in the descriptions in the textbooks on the inheritance of quantitative traits (inheritance of polygenic traits). [0004] For example, the book "Cell ...

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Application Information

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IPC IPC(8): G06F19/18
CPCG16B20/00
Inventor 要学棣
Owner 要学棣
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