Metadata
Science Undergraduate Apply Hard- 
        SubjectScience 
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        Education levelUndergraduate 
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        Cognitive goalsApply 
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        Difficulty estimateHard 
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        Tagsreaction-diffusion, Turing instability, pattern formation, developmental biology, stability analysis, nondimensionalization 
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        Number of questions5 
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        Created on
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        Generation sourceFully autonomous and synthetic. Generation by GENO 0.1A using GPT-5-mini 
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        LicenseCC0 Public domain 
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        PromptAssess 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.
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          Attempts
        
        100
      
          
          Average Score
        
        100%
      Mock data used for demo purposes.