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Identifying stem cells in tissues is critical for understanding
homeostasis, disease, regenerative medicine, and cancer
Stem cells are rare, making discovery by traditional population-based
assays very difficult
Single-cell mRNA-seq can profile tissues at single-cell resolution
but distinguishing cell types from noisy data is hard
Existing trajectory inference methods (e.g., Monocle) assume continuous temporal change and struggle
with correct tree topology in multi-lineage systems
RaceID2
improved cell type clustering algorithm
StemID
algorithm to infer lineage trees and identify stem/multipotent cells from scRNA-seq snapshots
Clustering method
k-means and k-medoids
cluster number selection
Gap statistic and Saturation of within-cluster dispersion
k-medoids improved
robustness substantially
Guided topology
all pairwise cluster links are considered as possible differentiation trajectories (no assumption about branching)
Each cell is assigned to the link with the longest projection of the vector
from its cluster medoid to the cell, onto inter-cluster links
Projection coordinate
pseudo-temporal position of the cell on that link
Links with significantly more cells than expected by chance
(vs. randomized background) are retained (p < 0.01)
Link score = 1 − (maximum gap between neighboring cells on the link)
close to 1 = dense, continuous coverage → strong differentiation trajectory evidence
Outperformed Monocle
in resolving multiple secretory branches
The StemID score combines two features:
StemID score = (median entropy − min entropy across all cell types) × number of significant links
Number of Links (Connectivity)
Low-scoring links indicate transcriptome plasticity / fate bias fluctuations
Stem/multipotent cells connect to many clusters
many links
Differentiated cells are more restricted
fewer links
Transcriptome Entropy (Shannon entropy)
Stem cells have a more uniform transcriptome — no single gene dominates
Differentiated cells (e.g., Paneth cells) express a few cell-type-specific genes at very high levels
lower entropy
Entropy had previously been applied to
study cellular differentiation
Entropy alone doesn't discriminate perfectly;
rescaling connectivity by entropy improves discrimination
Lgr5+ crypt base columnar cells (CBCs) → transit-amplifying (TA) cells
enterocytes (absorptive) or secretory cells (goblet, Paneth, enteroendocrine)
Used lineage tracing (Lgr5-CreERT2 × Rosa26-YFP)
cells collected 5 days post-label induction
Clusters
Cluster 2: Lgr5+ stem cells (also Ascl2+, Clca4+)
Clusters 1, 8: early progeny
Cluster 3: enterocytes
Clusters 4, 19: goblet cells
Clusters 5, 6: Paneth cells
Cluster 7: enteroendocrine cells
Secretory lineages branch directly
from stem cell cluster
Two Paneth differentiation routes recovered:
Via Dll1+ common precursor (cluster 1) — canonical
Direct from stem/TA cells — rare, previously described only after Paneth cell ablation
StemID score
highest for cluster 2 (Lgr5+ CBCs) ✓
Cluster 7 (Lgr5+/Clca4+)
highest StemID score
Entropy rescaling correctly distinguished mature Paneth/goblet cells
(same connectivity as stem cells but lower entropy)
StemID findings:
Highest score: cluster 1 (HSCs)
Score level correlates with degree
of multipotency
HSCs have highest, narrowest entropy distribution
uniform transcriptome not dependent on cell cycle
54/276 HSCs (20%) show lineage-specific fate biases
(likely an underestimate due to sequencing sensitivity limits)
112/276 HSCs project onto the link toward
multipotent progenitor (cluster 5)
Pseudo-temporal analysis of neutrophil branch (clusters 1→11→3→2→12)
gene expression changes smoothly, 5 co-regulated modules identified by self-organizing maps (SOMs)
StemID robust to subsampling
even with only 10 HSCs, cluster 1 still scores highest
Clusters 4 and 14 acquire the two highest StemID scores
predicted as most multipotent
Pseudo-temporal expression of FTH1 and INS (insulin)
smooth, anti-correlated gradients along the link connecting clusters 4→8→6
Suggests a continuous transition from ductal precursor
to mature β cell
Found individual cells co-expressing insulin and FTL
within ductal structures
Multipotency definition: purely functional
the cell population with the highest degree of multipotency is the stem cell candidate
Transcriptome plasticity (low-score links) ≠ differentiation trajectory
but reveals fate biases and promiscuous transcriptome states
Classical dichotomous differentiation hierarchy challenged
early fate bias already present at HSC stage
Entropy as a proxy for
Waddington landscape energy