Qbiome
AHCG: appropriate head circumference growth
SHCG: suboptimal head circumference growth
AHCG (\(n = 28\)) | SHCG (\(n = 30\)) | |
---|---|---|
Age (EGA weeks), mean \(\pm\) SD | 28.32 \(\pm\) 2.60 | 26.9 \(\pm\) 2.64 |
Male, no. (%) | 13 (46.43) | 15 (50) |
BW, g, mean \(\pm\) SD | 1021.96 \(\pm\) 382.91 | 998.3 \(\pm\) 423.45 |
BHC, cm, mean \(\pm\) SD | 24.875 \(\pm\) 2.88 | 24.57 \(\pm\) 3.26 |
Vaginal delivery, no. (%) | 12 (42.86) | 4 (13.33) |
Length of stay, days, mean \(\pm\) SD | 77.89 \(\pm\) 34.77 | 103.27 \(\pm\) 61.21 |
PMA at discharge, weeks, mean \(\pm\) SD | 39.04 \(\pm\) 3.80 | 41.13 \(\pm\) 6.80 |
Q-net
: A Linked Collection of PredictorsGoal: an ecosystem model expressive enough to learn nontrivial dynamics yet capable of generating actionable clinical insights
Direct modeling of the ecosystem is difficult due to limited understanding of microbial dynamics; standard/predictive machine learning methods are less interpretable and require more data than we have
Q-net
: A Linked Collection of PredictorsNode
\(\iff\)
Biome entity
\(\iff\)
Decision tree predictor of entity’s abundance
Node
\(\iff\)
Biome entity
\(\iff\)
Decision tree predictor of entity’s abundance
We can sample (q-sample
) the predictors to
reconstruct or forecast biome
trajectories
Realistic initial conditions (biome abundances measured over several weeks)
\(\implies\)
Sample the Q-net
\(\implies\)
Recover patterns in the ecosystem (even from small cohort sizes)
Using distinct Q-net
s allows us to forecast
differences between phenotypes
The Q-net
induces a novel risk measure that can
highlight differences in phenotypes
Distribution of risk
Risk computed weekly
Goal: Want mapping of “microbiome profile” space, separated into healthy and unhealthy regions
Challenges:
healthy
?Claim: q-sampled
microbiome profiles
are more biologically likely/valid than random samples1
\(\implies\) q-samples
help address the validity problem
[1] The Q-net
predictors are nonparametric estimates of
the full conditional distributions \(f(X_i
\,|\, X_j, j\neq i)\) of each entity \(X_i\)
q-samples
capture non-uniform structure in the space of
microbiome profiles
High risk
Low risk
q-samples
from high- and low-risk regions