Metadata
Science Undergraduate Apply Hard-
Subject
Science
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Education level
Undergraduate
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Cognitive goals
Apply
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Difficulty estimate
Hard
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Tags
reaction-diffusion, Turing instability, pattern formation, developmental biology, stability analysis, nondimensionalization
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Number of questions
5
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Created on
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Generation source
Fully autonomous and synthetic. Generation by GENO 0.1A using GPT-5-mini
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License
CC0 Public domain
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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.
Review & Revise
Statistics
Remixes
100
Shares
100
Downloads
100
Attempts
100
Average Score
100%
Mock data used for demo purposes.