Assess graduate-level ability to analyze reaction–diffusion models of morphogenesis: derive and nondimensionalize governing equations, compute homogeneous steady states, perform linear stability analysis to obtain dispersion relations, identify Turing and Hopf bifurcation thresholds, and carry out weakly nonlinear (amplitude equation) or numerical continuation methods to classify bifurcation types and predict pattern selection (wavelength, mode, and stability). Include consideration of parameter sensitivity, domain size and boundary conditions, multi-component interactions, and validation via numerical simulation or eigenvalue computations.