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Related Concept Videos

Crossing Over01:34

Crossing Over

Unlike mitosis, meiosis aims for genetic diversity in its creation of haploid gametes. Dividing germ cells first begin this process in prophase I, where each chromosome—replicated in S phase—is now composed of two sister chromatids (identical copies) joined centrally.
The homologous pairs of sister chromosomes—one from the maternal and one from the paternal genome—then begin to align alongside each other lengthwise, matching corresponding DNA positions in a process called synapsis.
In order to...
Crossing Over01:30

Crossing Over

Crossing over is the exchange of genetic information between homologous chromosomes during prophase I of meiosis I. Genetic recombination gives rise to allelic diversity in the newly formed daughter cells. In humans, crossing over produces genetically distinct haploid egg and sperm cells that undergo fertilization to produce unique offspring. Before cell division starts, the germ cell’s chromosome(s) undergo duplication in the S phase of the cell cycle. As the cells enter prophase I, duplicated...
Crossing over01:34

Crossing over

Unlike mitosis, meiosis aims for genetic diversity in its creation of haploid gametes. Dividing germ cells first begin this process in prophase I, where each chromosome—replicated in S phase—is now composed of two sister chromatids (identical copies) joined centrally.
The homologous pairs of sister chromosomes—one from the maternal and one from the paternal genome—then begin to align alongside each other lengthwise, matching corresponding DNA positions in a process called synapsis.
In order to...
Monohybrid Crosses01:20

Monohybrid Crosses

Overview
Monohybrid Crosses01:20

Monohybrid Crosses

Overview
Law of Segregation01:49

Law 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.

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Related Experiment Video

Updated: May 22, 2026

Frequency and Distribution of Crossovers in Caenorhabditis elegans Meiosis by SNP Genotyping using Real-time PCR
06:18

Frequency and Distribution of Crossovers in Caenorhabditis elegans Meiosis by SNP Genotyping using Real-time PCR

Published on: July 11, 2025

Crossing over...Markov meets Mendel.

Saad Mneimneh1

  • 1Department of Computer Science, Hunter College of CUNY, New York, NY, USA. saad@hunter.cuny.edu

Plos Computational Biology
|May 26, 2012
PubMed
Summary
This summary is machine-generated.

Chromosomal crossover and recombination provide mathematical insights into Mendel's laws, highlighting biology as a computational science. This approach uses Markov chains to explain genetic diversity and mapping, aiding computational biology education.

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Last Updated: May 22, 2026

Frequency and Distribution of Crossovers in Caenorhabditis elegans Meiosis by SNP Genotyping using Real-time PCR
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Methods for Performing Crosses in Setaria viridis, a New Model System for the Grasses

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Cell Lineage Analyses and Gene Function Studies Using Twin-spot MARCM

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Area of Science:

  • Genetics
  • Computational Biology
  • Science Education

Background:

  • Chromosomal crossover and recombination are fundamental biological mechanisms for trait inheritance.
  • Mendel's laws of inheritance, while foundational, lack a detailed mathematical framework for recombination.
  • The study of genetic mapping and linkage represents early computational approaches in biology.

Purpose of the Study:

  • To demonstrate how crossover and recombination offer mathematical insights into Mendel's laws.
  • To emphasize biology as an inherently computational science, beyond its experimental aspects.
  • To introduce a modern, mathematical treatment of genetic principles using Markov chains for educational purposes.

Main Methods:

  • Utilizing a Markov chain model for a modern treatment of Mendel's laws.
  • Applying basic college-level probability and calculus to explain genetic recombination.
  • Basing the exposition on homework problems designed for a computational biology course.

Main Results:

  • A mathematical formulation of crossover and recombination consistent with and extending Mendel's findings.
  • Demonstration of how genetic recombination ensures biological diversity.
  • Providing a foundation for understanding genetic mapping and linkage through a computational lens.

Conclusions:

  • A simplified, mathematical approach to genetics using Markov chains can transform biology education.
  • This method helps students recognize biology as a computational science early in their studies.
  • The approach is accessible to students with basic probability and calculus knowledge, preparing them for bioinformatics.