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Why Science? | CellOT, Neural Optimal Transport and Unpaired Cell Responses

Three students sit around open books and worksheets at a classroom table, reading, writing and discussing the work together.

eduKateSG · Why Science?

Learn a transport map between unpaired control and perturbed cell populations—without pretending a mathematical pairing is an observed before-and-after cell

Full section index · Science Learning Hub

Science learning becomes useful when a familiar object or observation is turned into a system of quantities, mechanisms and claim limits. This guide owns one applied evidence-reading job inside eduKateSG’s wider Science estate. It connects naturally to Why Science Prescient Potential Landscapes Physical Time Cell Trajectories; Why Science Scgen Latent Space Arithmetic Cross Condition Perturbation Prediction; Why Science Cpa Compositional Perturbations Dose Response Prediction; Why Science Scnode Neural Odes Missing Timepoint Single Cell Prediction; Education Hub; Singapore Secondary School Directory; Career Adulthood Hub; Science Learning Hub. It also keeps current school and public claims traceable to visible primary sources: CellOT primary study; CellOT PubMed record; Official CellOT repository; 2026 Singapore–Cambridge O-Level Biology syllabus; MOE G2/G3 Lower Secondary Science syllabus; 2026 MOE G2 Computing syllabus. The sources describe the scientific scope; this article translates that scope into a calm route for Primary Science, PSLE Science, Secondary Science, O-Level Science, STEM exploration, school choices and career pathways without inventing admission or employment outcomes.

CellOT, reported by Bunne and colleagues in Nature Methods in 2023, learns maps between unpaired control and perturbed single-cell distributions using neural optimal transport and input-convex architectures. The study evaluated drug responses measured with single-cell RNA sequencing and multiplexed protein imaging, then examined generalisation to held-out patients, cross-species responses and developmental trajectories. For science learning, CellOT makes distributions, fair comparisons and model assumptions wonderfully concrete—while the inferred pairing between cells remains a mathematical construction, not a directly observed lineage.

Section 1 of 36

1. Begin with unpaired cells

A sequencing experiment destroys each measured cell, so control and treated populations cannot be matched cell by cell. CellOT learns a plausible map between those two clouds.

CellOT treats control and perturbed measurements as unpaired distributions because destructive assays do not observe the same cell twice.

Archive control and treated specimens, preprocessing, feature space, cost, network architecture, optimiser, seeds, checkpoints and repository version.

Contents · Next section

Section 2 of 36

2. Understand optimal transport

Optimal transport asks how to move probability mass from one distribution to another with minimum declared cost. The answer depends on features, geometry and cost.

Optimal transport selects a coupling under a cost principle; that mathematical coupling is not a recovered biological lineage.

Hold out entire patients, cultures or experiments and keep their treated cells sealed until transport choices are frozen.

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Section 3 of 36

3. See the transport map

For each control state, the model generates a predicted treated state. Applying the map to a population should reproduce important properties of the measured target distribution.

Input-convex neural architectures parameterise a transport potential while imposing useful structure on the learned map.

Compare no change, population shift, nearest-neighbour and a simple linear map on the same biological splits.

Contents · Previous section · Next section

Section 4 of 36

4. Use a convex potential

CellOT uses input-convex neural networks to learn a potential whose gradient defines the map. Architectural constraints help optimisation without making the map biologically unique.

The fitted map predicts heterogeneous responses for new control cells, but reliability depends on overlap, representation and perturbation scope.

Report global distances, marker distributions, subgroup errors, map smoothness and seed spread rather than one favourable score.

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Section 5 of 36

5. Keep minimal effort conditional

The selected coupling reflects a mathematical minimal-effort principle in the chosen representation. Biology may follow routes the cost does not encode.

The 2023 study evaluated RNA and multiplexed protein-imaging data plus held-out-patient and cross-species settings; new systems need local tests.

Build a transport card containing source support, target scope, cost, holdout unit, baselines, uncertainty and experimental validation.

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Section 6 of 36

6. Predict heterogeneous responses

Different control cells can move differently under the same perturbation. This is richer than adding one population-average vector to every cell.

A model can align population distributions while mispairing individuals or missing rare states, so distribution and subgroup checks belong together.

Say inferred transport map and predicted response; never describe transported cells as directly tracked or clinically validated.

Contents · Previous section · Next section

Section 7 of 36

7. Read the 2023 evidence in scope

Bunne and colleagues evaluated scRNA-seq and multiplexed protein-imaging responses, plus held-out-patient, cross-species and developmental settings.

CellOT treats control and perturbed measurements as unpaired distributions because destructive assays do not observe the same cell twice.

Archive control and treated specimens, preprocessing, feature space, cost, network architecture, optimiser, seeds, checkpoints and repository version.

Contents · Previous section · Next section

Section 8 of 36

8. Define the transport question

Name source population, perturbation, duration, target population and feature space. Decide whether the claim concerns distributions, subgroups or individual cells.

Optimal transport selects a coupling under a cost principle; that mathematical coupling is not a recovered biological lineage.

Hold out entire patients, cultures or experiments and keep their treated cells sealed until transport choices are frozen.

Contents · Previous section · Next section

Section 9 of 36

9. Build a specimen manifest

Record patient or culture, condition, dose, time, batch, assay, cell count and quality filters. Many cells do not replace independent specimens.

Input-convex neural architectures parameterise a transport potential while imposing useful structure on the learned map.

Compare no change, population shift, nearest-neighbour and a simple linear map on the same biological splits.

Contents · Previous section · Next section

Section 10 of 36

10. Check source–target support

Plot both distributions before fitting. Regions present only after treatment may represent induction, selection, proliferation or sampling differences.

The fitted map predicts heterogeneous responses for new control cells, but reliability depends on overlap, representation and perturbation scope.

Report global distances, marker distributions, subgroup errors, map smoothness and seed spread rather than one favourable score.

Contents · Previous section · Next section

Section 11 of 36

11. Split by biological unit

Reserve complete specimens or experiments. Random cell splits leak nearly identical biological and technical structure.

The 2023 study evaluated RNA and multiplexed protein-imaging data plus held-out-patient and cross-species settings; new systems need local tests.

Build a transport card containing source support, target scope, cost, holdout unit, baselines, uncertainty and experimental validation.

Contents · Previous section · Next section

Section 12 of 36

12. Choose features transparently

Document genes, proteins, normalisation, variable-feature selection and any latent representation. Geometry changes when features or scaling change.

A model can align population distributions while mispairing individuals or missing rare states, so distribution and subgroup checks belong together.

Say inferred transport map and predicted response; never describe transported cells as directly tracked or clinically validated.

Contents · Previous section · Next section

Section 13 of 36

13. Predeclare the cost

State the distance or learned geometry used to move mass. Test whether conclusions survive other scientifically plausible representations.

CellOT treats control and perturbed measurements as unpaired distributions because destructive assays do not observe the same cell twice.

Archive control and treated specimens, preprocessing, feature space, cost, network architecture, optimiser, seeds, checkpoints and repository version.

Contents · Previous section · Next section

Section 14 of 36

14. Protect rare populations

Rare cells can be cheap to ignore in an average distance. Evaluate subgroup mass, markers and response separately.

Optimal transport selects a coupling under a cost principle; that mathematical coupling is not a recovered biological lineage.

Hold out entire patients, cultures or experiments and keep their treated cells sealed until transport choices are frozen.

Contents · Previous section · Next section

Section 15 of 36

15. Practise with a fictional CellOT table

This classroom table is invented and is not output from the CellOT paper.

Fictional subgroupTransport errorBaseline errorSource supportNext check
State A0.180.31HighNew donor
State B0.270.29MediumMarker panel
Rare C0.620.55LowEnrich cells
Invented classroom data for comparison practice; not an operational, product-certification or safety dataset.

Input-convex neural architectures parameterise a transport potential while imposing useful structure on the learned map.

Compare no change, population shift, nearest-neighbour and a simple linear map on the same biological splits.

Contents · Previous section · Next section

Section 16 of 36

16. Separate map and observation

A transported cell is a counterfactual prediction. Only the endpoint population was measured; the individual correspondence was inferred.

The fitted map predicts heterogeneous responses for new control cells, but reliability depends on overlap, representation and perturbation scope.

Report global distances, marker distributions, subgroup errors, map smoothness and seed spread rather than one favourable score.

Contents · Previous section · Next section

Section 17 of 36

17. Evaluate full distributions

Compare means, variances, correlations, quantiles and multimodality. A close average can conceal a missing responder group.

The 2023 study evaluated RNA and multiplexed protein-imaging data plus held-out-patient and cross-species settings; new systems need local tests.

Build a transport card containing source support, target scope, cost, holdout unit, baselines, uncertainty and experimental validation.

Contents · Previous section · Next section

Section 18 of 36

18. Audit map smoothness

Nearby control cells should not jump unpredictably without evidence. Inspect local continuity while allowing real nonlinear transitions.

A model can align population distributions while mispairing individuals or missing rare states, so distribution and subgroup checks belong together.

Say inferred transport map and predicted response; never describe transported cells as directly tracked or clinically validated.

Contents · Previous section · Next section

Section 19 of 36

19. Run seed ensembles

Repeat optimisation and plot prediction variability. Similar target distances can arise from different individual maps.

CellOT treats control and perturbed measurements as unpaired distributions because destructive assays do not observe the same cell twice.

Archive control and treated specimens, preprocessing, feature space, cost, network architecture, optimiser, seeds, checkpoints and repository version.

Contents · Previous section · Next section

Section 20 of 36

20. Test feature sensitivity

Refit using defensible gene sets, protein panels or latent dimensions. A biological claim should not rest on one convenient geometry.

Optimal transport selects a coupling under a cost principle; that mathematical coupling is not a recovered biological lineage.

Hold out entire patients, cultures or experiments and keep their treated cells sealed until transport choices are frozen.

Contents · Previous section · Next section

Section 21 of 36

21. Use strong simple baselines

Compare no change, mean-shift and linear transport. Complexity should improve untouched biological evidence, not only training fit.

Input-convex neural architectures parameterise a transport potential while imposing useful structure on the learned map.

Compare no change, population shift, nearest-neighbour and a simple linear map on the same biological splits.

Contents · Previous section · Next section

Section 22 of 36

22. Audit proliferation and death

Optimal transport redistributes mass, while perturbations may change abundance through division or apoptosis. Check whether assumptions fit the experiment.

The fitted map predicts heterogeneous responses for new control cells, but reliability depends on overlap, representation and perturbation scope.

Report global distances, marker distributions, subgroup errors, map smoothness and seed spread rather than one favourable score.

Contents · Previous section · Next section

Section 23 of 36

23. Construct matched nulls

Permute condition within specimens or simulate unrelated distributions with similar spread. The method should not find a meaningful map in every contrast.

The 2023 study evaluated RNA and multiplexed protein-imaging data plus held-out-patient and cross-species settings; new systems need local tests.

Build a transport card containing source support, target scope, cost, holdout unit, baselines, uncertainty and experimental validation.

Contents · Previous section · Next section

Section 24 of 36

24. Test held-out patients

When claiming patient transfer, train and tune without that person’s treated cells. Report variation rather than only pooled accuracy.

A model can align population distributions while mispairing individuals or missing rare states, so distribution and subgroup checks belong together.

Say inferred transport map and predicted response; never describe transported cells as directly tracked or clinically validated.

Contents · Previous section · Next section

Section 25 of 36

25. Test cross-species transfer

Orthologue mapping and species differences are evidence layers. Report mapping coverage and where transport fails.

CellOT treats control and perturbed measurements as unpaired distributions because destructive assays do not observe the same cell twice.

Archive control and treated specimens, preprocessing, feature space, cost, network architecture, optimiser, seeds, checkpoints and repository version.

Contents · Previous section · Next section

Section 26 of 36

26. Build a transport evidence card

Place source support, cost, seed stability, baseline gains, subgroup performance and independent measurements together.

Optimal transport selects a coupling under a cost principle; that mathematical coupling is not a recovered biological lineage.

Hold out entire patients, cultures or experiments and keep their treated cells sealed until transport choices are frozen.

Contents · Previous section · Next section

Section 27 of 36

27. Treat trajectories carefully

A transport map between endpoints does not reveal every intermediate state. Time-series measurements are needed to test the route.

Input-convex neural architectures parameterise a transport potential while imposing useful structure on the learned map.

Compare no change, population shift, nearest-neighbour and a simple linear map on the same biological splits.

Contents · Previous section · Next section

Section 28 of 36

28. Design the next experiment

Sample where maps disagree, rare states diverge or target-only populations appear. The goal is to separate transport, selection and induction explanations.

The fitted map predicts heterogeneous responses for new control cells, but reliability depends on overlap, representation and perturbation scope.

Report global distances, marker distributions, subgroup errors, map smoothness and seed spread rather than one favourable score.

Contents · Previous section · Next section

Section 29 of 36

29. Connect CellOT to school science

The method turns fair comparisons, variables, distributions and model assumptions into a practical secondary science story.

The 2023 study evaluated RNA and multiplexed protein-imaging data plus held-out-patient and cross-species settings; new systems need local tests.

Build a transport card containing source support, target scope, cost, holdout unit, baselines, uncertainty and experimental validation.

Contents · Previous section · Next section

Section 30 of 36

30. Try a classroom transport activity

Move tokens between two histograms at different costs, compare several valid couplings and ask what extra observation would identify the real pairing.

A model can align population distributions while mispairing individuals or missing rare states, so distribution and subgroup checks belong together.

Say inferred transport map and predicted response; never describe transported cells as directly tracked or clinically validated.

Contents · Previous section · Next section

Section 31 of 36

31. Connect to mathematics

Probability measures, convexity, gradients, distances and optimisation make the unpaired-response problem precise.

CellOT treats control and perturbed measurements as unpaired distributions because destructive assays do not observe the same cell twice.

Archive control and treated specimens, preprocessing, feature space, cost, network architecture, optimiser, seeds, checkpoints and repository version.

Contents · Previous section · Next section

Section 32 of 36

32. Connect to computing and AI literacy

A structured neural network can encode a mathematical principle, yet data splits and baselines still decide whether it generalises.

Optimal transport selects a coupling under a cost principle; that mathematical coupling is not a recovered biological lineage.

Hold out entire patients, cultures or experiments and keep their treated cells sealed until transport choices are frozen.

Contents · Previous section · Next section

Section 33 of 36

33. Connect to school and career choices

Learners who enjoy distributions can explore biology, mathematics, computing, statistics, medicine or biomedical engineering.

Input-convex neural architectures parameterise a transport potential while imposing useful structure on the learned map.

Compare no change, population shift, nearest-neighbour and a simple linear map on the same biological splits.

Contents · Previous section · Next section

Section 34 of 36

34. Create a family evidence habit

When a model pairs unpaired observations, ask what cost chose the pairing and whether any real individual was followed.

The fitted map predicts heterogeneous responses for new control cells, but reliability depends on overlap, representation and perturbation scope.

Report global distances, marker distributions, subgroup errors, map smoothness and seed spread rather than one favourable score.

Contents · Previous section · Next section

Section 35 of 36

35. Use precise transport language

Say inferred coupling, transported prediction and held-out distribution. Reserve tracked response for longitudinal measurement.

The 2023 study evaluated RNA and multiplexed protein-imaging data plus held-out-patient and cross-species settings; new systems need local tests.

Build a transport card containing source support, target scope, cost, holdout unit, baselines, uncertainty and experimental validation.

Contents · Previous section · Next section

Section 36 of 36

36. Finish with a map-to-measurement bundle

Deliver manifests, representations, costs, biological holdouts, baselines, seed ensembles, subgroup audits, cards and a discriminating experiment.

A model can align population distributions while mispairing individuals or missing rare states, so distribution and subgroup checks belong together.

Say inferred transport map and predicted response; never describe transported cells as directly tracked or clinically validated.

Did you know? Many different individual couplings can reproduce the same final population. That is why CellOT’s map is a principled hypothesis, not a recovered movie.

For human data, preserve patient-level validation and consent-aware governance. Share code and aggregate diagnostics without assuming raw profiles may be released.

A strong final figure labels measured control, transported prediction and measured target separately, then shows rare-state and patient-level uncertainty.

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