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Related Concept Videos

Conservative Site-specific Recombination and Phase Variation02:53

Conservative Site-specific Recombination and Phase Variation

Because the DNA segments are cut and reorganized in a direction-specific manner, site-specific recombination has emerged as an efficient genetic engineering technique. Flippase and Cyclization recombinases or Flp and Cre, respectively, are two members of the tyrosine recombinase family derived from bacteriophages, that are used to mediate site-specific DNA insertions, deletions, and targeted expression of proteins in mammalian cell lines.
The recognition sites for Cre recombinase called LoxP...
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...
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...
Gene Conversion02:08

Gene Conversion

Other than maintaining genome stability via DNA repair, homologous recombination plays an important role in diversifying the genome. In fact, the recombination of sequences forms the molecular basis of genomic evolution. Random and non-random permutations of genomic sequences create a library of new amalgamated sequences. These newly formed genomes can determine the fitness and survival of cells. In bacteria, homologous and non-homologous types of recombination lead to the evolution of new...
Gene Conversion02:08

Gene Conversion

Other than maintaining genome stability via DNA repair, homologous recombination plays an important role in diversifying the genome. In fact, the recombination of sequences forms the molecular basis of genomic evolution. Random and non-random permutations of genomic sequences create a library of new amalgamated sequences. These newly formed genomes can determine the fitness and survival of cells. In bacteria, homologous and non-homologous types of recombination lead to the evolution of new...

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Related Experiment Video

Updated: Jun 21, 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

Single-crossover recombination in discrete time.

Ute von Wangenheim1, Ellen Baake, Michael Baake

  • 1Technische Fakultät, Universität Bielefeld, Box 100131, 33501, Bielefeld, Germany. uvonwang@techfak.uni-bielefeld.de

Journal of Mathematical Biology
|July 29, 2009
PubMed
Summary
This summary is machine-generated.

This study models genetic recombination in discrete time, focusing on single crossovers. A novel two-step method of linearisation and diagonalisation provides an explicit solution for this complex dynamical system.

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Subcloning Plus Insertion (SPI) - A Novel Recombineering Method for the Rapid Construction of Gene Targeting Vectors
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Subcloning Plus Insertion (SPI) - A Novel Recombineering Method for the Rapid Construction of Gene Targeting Vectors

Published on: January 8, 2015

Related Experiment Videos

Last Updated: Jun 21, 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

Subcloning Plus Insertion (SPI) - A Novel Recombineering Method for the Rapid Construction of Gene Targeting Vectors
09:02

Subcloning Plus Insertion (SPI) - A Novel Recombineering Method for the Rapid Construction of Gene Targeting Vectors

Published on: January 8, 2015

Area of Science:

  • Population Genetics
  • Mathematical Biology
  • Dynamical Systems

Background:

  • Recombination modeling is crucial for understanding genetic inheritance.
  • Continuous-time models of recombination have established solutions.
  • Discrete-time models, especially with single crossovers, present unique mathematical challenges.

Purpose of the Study:

  • To analyze the dynamics of genetic recombination in discrete time with single crossovers.
  • To develop a solvable mathematical framework for this specific recombination model.
  • To gain further insight into the difficulties of discrete-time dynamical systems.

Main Methods:

  • Utilizing a specialized formalism for discrete-time dynamics.
  • Applying a two-step procedure: linearisation followed by diagonalisation.
  • Determining coefficients recursively for the diagonalisation step.

Main Results:

  • The discrete-time single-crossover model does not admit a closed-form solution like its continuous-time counterpart.
  • A transformation yields a solvable system through linearisation and diagonalisation.
  • Recursive determination of coefficients enables an explicit, time-valid solution.

Conclusions:

  • The developed method offers a way to explicitly solve discrete-time single-crossover recombination dynamics.
  • This approach provides valuable insights into nonlinear dynamical systems in a discrete setting.
  • The findings contribute to a deeper understanding of genetic processes and mathematical modeling techniques.