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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).
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Genetic variation is the diversity in DNA sequences found among individuals of the same species. This diversity is crucial for a species' survival because it helps organisms adapt to environmental changes. Genetic variation begins with fertilization, where an egg and sperm cell merge. Each of these cells carries 23 chromosomes, up to 46 in the fertilized egg. Chromosomes are long DNA strands that contain genes, the basic units of heredity.
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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.
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Gregor Mendel's work (1822 - 1884) was primarily focused on pea plants. Through his initial experiments, he determined that every gene in a diploid cell has two variants called alleles inherited from each parent. He suggested that amongst these two alleles, one allele is dominant in character and the other recessive. The combination of alleles determines the phenotype of a gene in an organism.
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Related Experiment Video

Updated: Mar 7, 2026

Infinium Assay for Large-scale SNP Genotyping Applications
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From typical sequences to typical genotypes.

Omri Tal1, Tat Dat Tran1, Jacobus Portegies1

  • 1Max-Planck-Institute for Mathematics in the Sciences, Inselstrasse 22, D-04103 Leipzig, Germany.

Journal of Theoretical Biology
|February 17, 2017
PubMed
Summary
This summary is machine-generated.

Information theory concepts, like typical sequences, are applied to population genetics. This reveals insights into typical genotypes and population entropy, aiding in robust classifier development.

Keywords:
ClassificationPopulation cross entropy ratePopulation entropy rateTypical genotypesTypical sequences

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Area of Science:

  • Genetics
  • Information Theory
  • Statistical Learning

Background:

  • Population genetics data analysis often faces challenges with high dimensionality and noise.
  • Information theory provides powerful tools for understanding data compression and transmission, with concepts like typical sequences offering a novel perspective.

Purpose of the Study:

  • To apply core information theory concepts, specifically typical sequences and their properties, to the analysis of population genetic data.
  • To introduce and explore the concepts of typical genotypes and population entropy/cross-entropy rate within a population genetics framework.

Main Methods:

  • Utilizing the asymptotic equipartition property (AEP) for nonstationary discrete-time sources producing independent symbols.
  • Analyzing typical genotypes from set, geometric, and statistical learning perspectives.
  • Developing typical-set based classifiers for population genetic data.

Main Results:

  • Demonstrated the application of information theory's typical sequences to population genetic data analysis.
  • Introduced and defined typical genotypes, population entropy, and cross-entropy rate.
  • Showcased the resilience of typical-set based classifiers to noise from small population samples.

Conclusions:

  • Information theory offers a valuable framework for analyzing population genetic data.
  • Typical-set based classifiers show promise for robust genetic analysis, even with limited data.
  • The study highlights potential for integrating inference and communication theories in population genetics.