ABCT 101 · L8 · Structural Biology Part I

🔬 Lecture 8 · Structural Biology Part I Xiuyuan Li · 28 Oct 2026

Four ways to see a molecule you cannot see: crystals, electrons, magnetic nuclei, and scattered X-rays. Learn what each one buys, what each one costs, and which question each one answers.

101 · L8 Structural Biology Part I — Crystallography, Cryo-EM, NMR, SAXS

Lecture 8 · Structural Biology Part I (Xiuyuan Li, 28 Oct 2026)

Eighth lecture of ABCT5101, opening a two-part block on structural biology. Part I is the four techniques and their trade-offs; Part II (next week) is applications and case studies, and the practice brief points at 18 Nov. The stated aim is not to make you a crystallographer but to make you the person who can choose the right technique and run the project — “strategic decision-making”, in the lecturer's words.

Numbers worth memorising
ItemValueWhy it matters
Optical microscopy limit~200 nm (0.2 µm)Visible light is 400–750 nm; below this you need a different probe
X-ray: low resolution> 3.0 ÅOverall shape only, no atomic detail
X-ray: medium / high2.5–3.0 Å / 2.0–2.5 ÅSide chains appear at 2.0–2.5; waters and metal ions may appear
X-ray: atomic< 1.5 ÅIndividual atoms, precise bond geometry
Cryo-EM resolution2–3 ÅAtomic resolution became routine only after ~2013
Cryo-EM sweet spot> 150 kDaSmaller proteins need phase plates or special treatment
Protein neededX-ray 1–10 mg · cryo-EM 0.1–1 mg · NMR > 5 mg at mM · SAXS 0.1–0.5 mgThe first filter on any project is how much protein you can make
NMR / SAXS size ceilingNMR < 30 kDa · SAXS > 10 kDaNMR and cryo-EM are almost complementary in size range
Cryo-EM throughput~300 movies / hrSets the real cost of a data-collection session
Nobel Prize2017 ChemistryCryo-EM; the technique's arrival as a mainstream method
1 Å = 0.1 nm = 100 pm. Lower Å = higher detail. This inversion catches people out in exams.

1 · What “structure” buys you

Structure is not a picture; it is the arrangement that explains behaviour.

The lecture opens deliberately outside biology. Structure is defined as the way the parts of a system are arranged or organised. Why it matters is the same in engineering, geology, science and social studies: once you know the arrangement, you can decode the system, predict outcomes, and carry knowledge across disciplines. The deck's own example is a tectonic framework over Cambrian salt basins.

Structural biology then applies that idea to living material — formed, composed, maintained and refined by living cells — at every organisational level. The reason it matters clinically is the oldest idea in the field: function follows form. A structure tells you which residues touch, which pocket a ligand occupies, and therefore what a mutation or a drug would do.

The 10-second version Sequence tells you what the protein is made of; structure tells you what it does. Everything downstream — mechanism, resistance, druggability — is read off the arrangement.

2 · “Seeing” is model-building, not photons

Below 200 nm you cannot see the thing itself; you see a model inferred from data.

Optical microscopy stops at roughly 0.2 µm — enough for mitochondria and bacteria, not for molecules. Two walls: the diffraction limit (visible light is 400–750 nm, so nothing smaller than ~200 nm resolves) and photon damage (higher resolution needs more intense light, which destroys the sample).

The lecture then redefines seeing. A model is what lets you understand and interpret a structure; a good model (i) captures all key elements and relationships, (ii) is verifiable and predictive, and (iii) stays simple enough to communicate. This is scientific constructivism: a scientist “sees” a protein through a model built from experimental data, not by looking at it.

Why this framing matters for the exam Every technique in this lecture is a way of collecting indirect evidence and fitting a model to it. That is why all four produce a model plus a validation statistic — and why “seeing” a structure without knowing the resolution and the R factors is not seeing at all.

3 · X-ray crystallography: the principle and the resolution ladder

Crystal gives order, X-rays give diffraction, maths gives electron density.

Three ideas, in order. Order: a crystal is a solid whose molecules sit in a long-range, orderly arrangement — that repeating lattice is what turns scattering into sharp spots. Diffraction: high-energy X-rays passing through the crystal are scattered, following Bragg's Law. Inversion: the diffraction pattern is mathematically transformed into an electron density map, and a molecular model is fitted into it.

Resolution is the only currency here, and the deck gives it as a ladder:

ResolutionWhat you can conclude
> 3.0 ÅLow — overall shape, no atomic detail
2.5–3.0 ÅMedium — general structure, some side-chain information
2.0–2.5 ÅHigh — clear side chains and interactions; structural waters and metal ions may appear
< 1.5 ÅTrue atomic — individual atoms, precise bond geometry

At high resolution the method answers the question industry actually pays for: how does a drug bind? The deck's two examples are databases rather than single papers — a collection of known enzyme mechanisms (M-CSA) and coordinate/ligand records in the PDB.

Exam point A number without the method and the resolution is not a structural claim. When a slide says “structure of X”, the first question is always at what resolution, by which technique.

4 · The workflow, and where projects actually die

Seven steps; step 1 is where 90% of the schedule goes.

StepWhat happensFailure mode
0 · Sample prepPurify the biomolecule; recombinant expression in E. coli or mammalian cells, with tagsYield, purity, heterogeneity
1 · CrystallizationGrow high-quality crystals under controlled conditionsThe real bottleneck — some proteins never crystallise
2 · Data collectionExpose the crystal to X-rays, record diffractionRadiation damage, poor order
3 · Data processingIntegrate patterns → electron density mapBad statistics poison everything after
4 · Model buildingFit a molecular model into the densityOver-fitting to noise
5 · RefinementIteratively minimise difference between observed and calculated density (e.g. Phenix)Refining into a wrong basin
6 · ValidationR factors, Ramachandran plot, bond lengthsSkipping it — the model is publication-ready but wrong
7 · DepositionPDB / EMDB; validation report, conditions, software, source; unique accession codeUn-citable, unreproducible work

Note how much of this is now automated: data processing and model building are largely software-driven, so the human decisions concentrate at step 0–1 (can I make the protein, can I crystallise it) and at step 6 (is the answer real).

What a PDB entry actually contains Accession code · sequences · bound ligands and cofactors · method and resolution · symmetry and unit cell · three R values — R-work (fit to the data used), R-free (independent check), R-observed (overall agreement). If you ever quote a structure, quote R-free.

5 · Crystallization: the part that decides the project

You are trying to make a molecule abandon its preferred state and pack into a lattice.

Small molecules crystallise easily — evaporation, cooling, organic solvents. Macromolecules do not: they need high purity, controlled conditions and specialised methods. The classic recipe is buffer (pH for stability) + salt (ammonium sulfate to lower solubility) + precipitant (PEG, to dehydrate gradually).

Four standard techniques: vapour diffusion (hanging drop over a reservoir, or sitting drop beside it — both rely on gradual evaporation), microbatch (mixed under oil, no evaporation), and microdialysis (dialyse against precipitant). Modern practice adds commercial screening kits, robotic dispensing (down to ~100 nL per condition), automated imaging, fine screening of pH/concentration/temperature, and seeding — introducing crushed microcrystals to nucleate better ones.

Complexes are the interesting cases. For protein–ligand work you either co-crystallise (ligand added before) or soak (ligand diffused into existing crystals); the constraints are binding affinity, the protein:ligand ratio, and stabilisation of the complex. For protein–protein or protein–nucleic-acid complexes the constraints shift to complex stability, flexibility of large assemblies, and stoichiometry — sometimes solved by fusing partners.

The counter-intuitive fact Purity helps but is not absolute: the first recorded protein crystal was haemoglobin in earthworm blood in 1840, and some proteins crystallise inside living cells (in cellulo). Crystallographers are taught purity first for reasons of throughput, not dogma.

6 · Cryo-EM: why 2013 changed the field

Same physics as a light microscope, different illumination: electrons instead of photons.

Cryo-EM was developed in the 1980s but spent decades as “blobology” — low-resolution shapes. Three advances made atomic resolution routine after ~2013: direct electron detectors (better sensitivity and contrast), better image-processing algorithms (averaging thousands of images to beat noise and radiation damage), and cryo-stage stability (less movement, sharper images). The 2017 Nobel Prize in Chemistry marked the arrival.

The instrument: a beam of electrons as the “light”, magnetic coils as lenses, high vacuum throughout, and image formation from elastically scattered electrons — those that change direction but keep their energy, carrying the structural information.

ComponentDetail worth knowing
Grid~3 mm disc; copper, nickel or gold; mesh 200/300/400 squares per inch; carbon or holey-carbon film; glow discharge to make the surface hydrophilic
VitrificationPlunge into liquid ethane; control humidity to avoid ice contamination; avoids fixatives and stains, so the native state survives; also limits radiation damage
Sample tolerancePurity not very strict; 0.1–5 mg/mL; avoid high concentrations of additives — far kinder than crystallography
Thick samplesElectrons penetrate poorly — cells need FIB milling (e.g. Aquilos 2) to thin the region of interest
ImagingLow dose to search (atlas → squares → holes), then high magnification; movie mode with motion correction; automatic collection up to ~300 movies/hr

Why a single molecule is not enough: biological samples are weak scatterers (C, N, S, O, H against water) so contrast is intrinsically low, and even frozen samples suffer radiation damage. The answer is statistics — assume a homogeneous population, collect a large dataset, classify and align, then average. Fine detail emerges from the average, not from any one image.

The processing pipeline: micrographs → particle picking → 2D classification and averaging → CTF correction → initial 3D model → 3D classification and refinement → post-processing and validation. Published benchmarks in the deck: β-galactosidase at 3.2 Å (Bartesaghi 2014), GroEL at 3.5 Å (Roh 2017).

One line to remember Cryo-EM does not photograph molecules; it averages thousands of noisy shadows until the molecule appears. The assumption that all those particles are the same is the assumption to interrogate.

7 · NMR and SAXS: the two specialists

NMR gives dynamics in solution; SAXS gives shape in solution — neither gives you a crystal.

NMR works on the magnetic behaviour of nuclei (1H, 13C, 15N) in a strong field: they absorb and emit radiofrequency energy, and the signal is exquisitely sensitive to the local chemical environment, reporting distances up to ~5 Å and bond angles. Its niche is solution structure of small proteins (< 30 kDa), real-time dynamics and interactions, and being non-destructive under near-physiological conditions. Its costs are size, spectral complexity, mM concentrations of very pure protein, and expensive high-field instruments — which is why cryo-EM and crystallography took most of its territory.

SAXS measures X-ray scattering at small angles in solution to report size, shape and conformation. It is explicitly a low-resolution technique, needs very little protein (0.1–0.5 mg), and is extremely sensitive to aggregation — hence the standard practice of running it inline with SEC, so only the clean monomer reaches the beam.

Two case studies worth the detail: a de novo designed transmembrane protein where the NMR structure (PDB 9FDG) and the crystal structure (8UZL) both match the computational design (Berhanu et al., Science 2024) — two independent techniques validating a design; and a JACS 2018 study using SAXS to distinguish different conformations of the same molecule in solution.

How to choose between them Ask three questions in order: how big is it (>150 kDa → cryo-EM; <30 kDa → NMR; anything crystallisable → X-ray), how much protein can I make (cryo-EM and SAXS are an order of magnitude cheaper in material), and do I need dynamics or a static snapshot (NMR and SAXS for solution behaviour and flexibility).

8 · The decision table you will actually use

Four techniques, one table — this is the slide to photograph.

TechniqueResolutionProtein neededSize rangeStrengthWeakness
X-raydown to 1.0 Å1–10 mgsmall molecules to large complexesAtomic detail; drug binding and mechanismCrystallisation is slow and may never work; static crystal snapshot
Cryo-EMdown to 2–3 Å0.1–1 mgbest >150 kDaNative conformation without crystals; membrane proteins, large assembliesPurity/homogeneity limits; heavy processing and expensive instruments
NMRno fixed spatial resolution> 5 mg at mM< 30 kDaDynamics and interactions near physiological conditionsIsotope labelling; high concentration; complex spectra
SAXSlow, shape only0.1–0.5 mg> 10 kDaSolution conformation; flexible molecules; tiny material costNo atomic detail; needs another technique alongside
The single most testable idea in the lecture Cryo-EM and X-ray are not substitutes; they are complements with different failure modes. Crystallography fails at the crystal, cryo-EM fails at homogeneity. If a project has a heterogeneous, flexible, membrane-embedded target and plenty of it, cryo-EM is the answer; if it is a rigid 40 kDa enzyme and you need the ligand pose at 1.5 Å, it is crystallography.

9 · Outsourcing: the decisions you will actually be making

Expression, purification and crystallisation are mature enough to buy — the judgement is not.

The lecture is explicit that this block is about technological leadership, not bench craft. Protein expression, purification and crystallisation are mature enough for CRO outsourcing; specialised companies can deliver high-purity, active protein in roughly two weeks, often at lower cost, which frees the research team to do the structural analysis.

DecisionWhat you are choosing between
Expression systemE. coli / yeast / insect / mammalian — driven by whether you need post-translational modification; cell-free systems for speed and difficult targets
TagsHis / Strep / GST for purification — but tags can perturb structure and crystallisation, so plan protease cleavage (TEV, thrombin, 3C) from the start
Codon optimisationEach host has codon bias; rare codons silently cost you yield
PurificationAffinity → ion exchange (choose cation/anion from the pI) → size exclusion; a combination is normal for high purity
VerificationSDS-PAGE (purity), IEX (charge state), SEC (folding/aggregation), MS (identity and modifications), activity assay (function)
Vendor managementMultiple CROs by strength; synchronised tasks; regular reporting — the actual leadership work
Why this belongs in a commercialisation degree Structural biology has become a service market: the differentiator is no longer the instrument but the decision about which experiment answers the question. That is the same shift as NGS — the sequencer is a commodity, the question is not.

10 · Practice before the next lecture (18 Nov)

Four tasks, and they are the reason Part II will make sense.

  1. Install PyMOL (pymol.org) and work through the tutorial — it is used in class next week.
  2. Skim paper 1 for how the authors expressed and crystallised NDM-1.
  3. Read paper 2 for how the co-crystal structures of benzylpenicillin, oxacillin, methicillin and meropenem were obtained, then load them in PyMOL and look at the bound small molecules.
  4. Read one of the earliest reports of the SARS-CoV-2 spike cryo-EM structure.

Reference shelf from the deck: RCSB PDB (rcsb.org) · M-CSA enzyme mechanisms (EBI) · UniProt · Caltech cryo-EM course · cryoem101.org · SSRL SAXS workshop material.

11 · Two cases where structure changed the decision

CaseWhat the structure showedWhat it decided
Gleevec (imatinib) and c-Abl kinaseThe drug binds a pocket next to the ATP site in the inactive conformation, locking the kinase “off”Moved the logic from “inhibit activity” to “freeze a conformation” — the textbook case of structure producing a drug, and why mutations such as T315I break it
PD-1 in complex with an antibodyThe antibody binds the ligand-binding face of PD-1, blocking the PD-L1 contact surfaceBlocking does not require mimicking the ligand — occupying the same surface is enough; epitope choice matters more than raw affinity
Exam point Both cases answer one question: “once you have the structure, what decision can you make?” — one is shape-selective design (Gleevec), the other is choosing the right epitope to block an interface (PD-1).

12 · Model validation: “it looks right” is not enough

After the electron density map, amino acids are built into the density (model building) and refined repeatedly. Validation asks a different question: how much should anyone trust this model?

MetricWhat it measuresIntuition
R-factor / R-freeGap between predicted and observed diffraction; R-free uses data never fittedLike a held-out exam score — a high R-free means the model memorised the training data
Ramachandran plotWhether backbone dihedral angles fall in allowed regionsChecks the backbone is not bent into impossible angles
B-factorWhich regions are loose or disorderedHigher means “wobblier” — that part is genuinely flexible
Density fitWhether side chains actually sit in the densityYou cannot force the model in and call it “close enough”
Common trap Higher resolution does not automatically mean more trustworthy. Check R-free, Ramachandran and density fit: a well-validated 2.5 Å model can beat an over-fitted 1.8 Å one.

13 · PDB: publish it or nobody can use it

Models and structure factors are deposited in the Protein Data Bank and receive a four-character ID (for example 1IEP for the classic Gleevec–Abl structure). The PDB holds both coordinates and structure factors, so anyone can re-validate the model rather than trust a picture.

Why PDB matters in an answer The output of structural biology is not “a nice figure” but reproducible data. Asked how structures are shared, answer PDB deposition plus public coordinates and structure factors — not “we emailed it to a collaborator”.
一句話 結構不是照片,是模型+驗證統計;晶體看原子細節、cryo-EM 看大而異的組裝、NMR 看動態、SAXS 看形狀——選技術的本質是選材料量 × 解析度 × 動態三者之間的取捨。