Related Concept Videos
01:49Hardy-Weinberg Principle
Diploid organisms have two alleles of each gene, one from each parent, in their somatic cells. Therefore, each individual contributes two alleles to the gene pool of the population. The gene pool of a population is the sum of every allele of all genes within that population and has some degree of variation. Genetic variation is typically expressed as a relative frequency, which is the percentage of the total population that has a given allele, genotype or phenotype.In the early 20th century,...
02:27Trihybrid Crosses
Trihybrid Crosses
Some of Mendel’s crosses examined three pairs of contrasting characteristics. Such a cross is called a trihybrid cross. A trihybrid cross is a combination of three individual monohybrid crosses. For example, plant height (tall vs. short), seed shape (round vs. wrinkled), and seed color (yellow vs. green).
The F1 generation plants of a trihybrid cross are heterozygous for all three traits and produce eight gametes. Upon self-fertilization, these gametes have an equal chance to...
Some of Mendel’s crosses examined three pairs of contrasting characteristics. Such a cross is called a trihybrid cross. A trihybrid cross is a combination of three individual monohybrid crosses. For example, plant height (tall vs. short), seed shape (round vs. wrinkled), and seed color (yellow vs. green).
The F1 generation plants of a trihybrid cross are heterozygous for all three traits and produce eight gametes. Upon self-fertilization, these gametes have an equal chance to...
02:46Chi-square Analysis
The chi-square test is a statistical hypothesis test. It is used to check whether there is a significant difference between an expected value and an observed value. In the context of genetics, it enables us to either accept or reject a hypothesis, based on how much the observed values deviate from the expected values.
The chi-square test was developed by Pearson in 1990.
The first step of performing a Chi-square analysis is to establish a null hypothesis, which assumes that there is no real...
The chi-square test was developed by Pearson in 1990.
The first step of performing a Chi-square analysis is to establish a null hypothesis, which assumes that there is no real...
01:49Law of Segregation
When crossing pea plants, Mendel noticed that one of the parental traits would sometimes disappear in the first generation of offspring, called the F1 generation, and could reappear in the next generation (F2). He concluded that one of the traits must be dominant over the other, thereby causing masking of one trait in the F1 generation. When he crossed the F1 plants, he found that 75% of the offspring in the F2 generation had the dominant phenotype, while 25% had the recessive phenotype.
02:03Law of Independent Assortment
While Mendel’s Law of Segregation states that the two alleles for one gene are separated into different gametes, a different question of how different genes are inherited remains. For example, is the gene for tall plants inherited with the gene for green peas? Mendel asked this question by experimenting with a dihybrid cross; a cross in which both parents are homozygous for two distinct traits resulting in an F1 generation that are heterozygous for both traits.
02:03Law of Independent Assortment
While Mendel’s Law of Segregation states that the two alleles for one gene are separated into different gametes, a different question of how different genes are inherited remains. For example, is the gene for tall plants inherited with the gene for green peas? Mendel asked this question by experimenting with a dihybrid cross; a cross in which both parents are homozygous for two distinct traits resulting in an F1 generation that are heterozygous for both traits.
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13:33
Infinium Assay for Large-scale SNP Genotyping Applications
Published on: November 19, 2013
The triangle inequality in balanced genetical polymorphisms.
1The Galton Laboratory, University College London, England.
Genetics
|October 1, 1980
Summary
This study presents a simplified derivation of the triangle inequality, a key concept in population dynamics. The findings offer a more accessible understanding of this important ecological principle.
Area of Science:
- Population Dynamics
- Mathematical Ecology
- Theoretical Ecology
Background:
- The triangle inequality is a fundamental concept in population dynamics.
- The original derivation by Lewontin, Ginzburg, and Tuljapurkar (1978) is complex.
- A simplified approach is needed for broader accessibility.
Purpose of the Study:
- To provide a simplified derivation of the triangle inequality.
- To make the concept more accessible to researchers and students.
- To facilitate a deeper understanding of population dynamics.
Main Methods:
- Mathematical derivation.
- Simplification of existing proofs.
- Focus on core mathematical principles.
Main Results:
- A novel, simplified derivation of the triangle inequality is presented.
- The derivation maintains mathematical rigor while enhancing clarity.
- The simplified approach elucidates the underlying mathematical structure.
Conclusions:
- The simplified derivation enhances the accessibility of the triangle inequality.
- This work aids in the understanding of population dynamics.
- Further research can build upon this simplified mathematical framework.