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Big Data and New Models Needed to Study DNA Variation in Evolution and Cancer

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Project aims to sequence 10,000 vertebrate genomes and turn tissues into iPS-derived cortical neurospheres, then use RNA‑seq and chromatin assays to pinpoint specific regulatory changes (e.g., prolonged HES5 expression, delayed neuronal maturation) among ~15 million human‑chimp differences. Genomes get modeled as sequence graphs and treated with group‑theory spectral methods; lack of a fast genome rearrangement Fourier transform is an open problem. Cancer results show massive chromothripsis creating circular, amplified oncogene rings; scaling requires ~100 petabytes and open data instead of siloed repositories.

AI-written summary · about

  1. 0:00Start
  2. 0:53The Genome 10K Community Goal: To understand how complex animal life evolved through changes in DNA and use this knowledge to become better stowards of the planet.
  3. 2:24Grand scientific challenge of vertebrate molecular evolution Reconstruct the evolutionary history of each base in the genomes of the living species
  4. 14:58History graphs add descent edges to sequence graphs
  5. 16:30Stochastic Models of Genome Evolution: the Jukes-Cantor model of base substitution
  6. 23:44Let the state x, be an arbitrary origin. The stabilizer subgroup H = H, is the subgroup of actions in G that leave x, fixed. For matchings, H is the hyperoctahedral group of symmetries of the n-cube. States in
  7. 30:36The Fourier Transform is a linear mapping that converts convolution into multiplication
  8. 34:08Thus, if f is taken from a radial rate matrix R (i.e. rate depending only on differences in D) and t is any amount of time, the matrix of probabilities of state changes over various differences is
  9. 35:38There is no known computationally tractable closed-form formula for the integers in the Fourier transform matrix for matchings.
  10. 39:01Some motivations for large-scale application of comparative genomics in cancer Bring data to research and insights to clinical practice Learn to link phenotypes, including clinical outcomes, to
  11. 41:27Different Requirements for 1M Genomes
  12. 42:58Extracting molecular state from raw DNA reads
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