Expert-level biophysics covering single molecule techniques, membrane biophysics, protein mechanics, motor proteins, ion channels, and biological imaging methods.
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Optical tweezers: laser trap applies piconewton forces, measures nm displacements. Magnetic tweezers: magnetic bead manipulation, torque and force measurements. AFM force spectroscopy: unfold proteins and measure force-extension curves. FRET: fluorescence resonance energy transfer, measures nanometer-scale distances. Single molecule fluorescence: track individual molecules in living cells.
Lipid bilayer: two leaflet structure, fluid mosaic model, selective permeability. Membrane tension: controls cell shape, migration, and mechanosensing. Patch clamp: measure single ion channel currents in picoampere range. Lipid rafts: cholesterol-rich ordered domains, organize signaling proteins. Vesicle mechanics: osmotic pressure, Helfrich elasticity, flickering spectroscopy.
Protein folding: hydrophobic collapse, hydrogen bond formation, funnel energy landscape. Mechanical unfolding: stepwise unfolding domains detected by AFM or optical tweezers. Motor proteins: myosin, kinesin, dynein convert chemical energy to mechanical work. Worm-like chain: polymer model for DNA and unfolded proteins, persistence length.
Confocal microscopy: optical sectioning, fluorescence, subcellular resolution. TIRF: total internal reflection fluorescence, single molecule sensitivity at surface. STORM and PALM: super-resolution beyond diffraction limit, 20nm resolution. Cryo-EM: near-atomic resolution protein structures, complement to X-ray crystallography.
| Pitfall | Fix |
|---|---|
| Ignoring thermal noise at nanoscale | kBT = 4 pN nm, comparable to biological forces |
| Fluorescent label affecting protein function | Test labeled vs unlabeled activity |
| Surface effects in single molecule assays | Use appropriate blocking and surface chemistry |
| Confusing correlation with mechanism | Mechanistic interpretation needs additional experiments |
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Expert-level abstract algebra knowledge. Use when working with groups, rings, fields, modules, Galois theory, representation theory, or algebraic structures. Also use when the user mentions 'group', 'ring', 'field', 'homomorphism', 'isomorphism', 'normal subgroup', 'quotient group', 'Sylow theorem', 'Galois theory', 'polynomial ring', 'ideal', 'module', 'vector space', or 'representation theory'.
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Expert-level acoustics knowledge. Use when working with sound waves, acoustic propagation, resonance, standing waves, Doppler effect, room acoustics, ultrasound, noise control, musical acoustics, or architectural acoustics. Also use when the user mentions 'sound wave', 'decibel', 'frequency', 'resonance', 'standing wave', 'Doppler effect', 'acoustic impedance', 'reverberation', 'ultrasound', 'noise control', 'harmonics', or 'sound intensity'.
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Expert-level aerodynamics covering subsonic and supersonic flow, lift and drag, airfoil theory, boundary layers, compressible flow, and CFD methods.
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Expert-level air quality engineering covering pollutant sources, atmospheric dispersion, air quality standards, emission controls, and air quality modeling.
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Expert-level aircraft structures covering structural design philosophy, wing and fuselage analysis, fatigue and damage tolerance, composite structures, and certification.
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Expert-level algorithms and complexity theory covering sorting, searching, graph algorithms, dynamic programming, greedy algorithms, NP-completeness, and algorithm design paradigms.
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