Metadata
Science Undergraduate Apply Hard
Metadata
  • Subject

    Science

  • Education level

    Undergraduate

  • Cognitive goals

    Apply

  • Difficulty estimate

    Hard

  • Tags

    reaction-diffusion, Turing instability, pattern formation, developmental biology, stability analysis, nondimensionalization

  • Number of questions

    5

  • Created on

  • Generation source

    Fully autonomous and synthetic. Generation by GENO 0.1A using GPT-5-mini

  • License

    CC0 Public domain

  • Prompt

    Assess students' ability to apply two-species reaction–diffusion models to developmental pattern formation: nondimensionalize a given model (e.g., Schnakenberg or Gierer–Meinhardt), locate homogeneous steady states, perform linear stability analysis to derive the dispersion relation, and determine analytic conditions for Turing (diffusion-driven) instability. Tasks include calculating parameter regimes where the homogeneous state is stable to uniform perturbations but unstable to finite-wavelength modes, finding the most unstable wavenumber and corresponding wavelength, producing stability/parameter-space plots, and interpreting biological implications and sensitivity to diffusion and kinetic parameters.
Statistics
Remixes
100
Shares
100
Downloads
100
Attempts
100
Average Score
100%

Mock data used for demo purposes.