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          <dc:title>ChemODE: A Physics-Informed
Neural Surrogate for Robust
Pharmacokinetics and Biochemical Dynamics</dc:title>
          <dc:creator>Wit Kulvutiroj (25142313)</dc:creator>
          <dc:subject>Biophysics</dc:subject>
          <dc:subject>Biochemistry</dc:subject>
          <dc:subject>Physical Sciences not elsewhere classified</dc:subject>
          <dc:subject>Medicine</dc:subject>
          <dc:subject>Chemical Sciences not elsewhere classified</dc:subject>
          <dc:subject>Biological Sciences not elsewhere classified</dc:subject>
          <dc:subject>Information Systems not elsewhere classified</dc:subject>
          <dc:subject>Mathematical Sciences not elsewhere classified</dc:subject>
          <dc:subject>Computational  Biology</dc:subject>
          <dc:subject>rigorous uncertainty quantification</dc:subject>
          <dc:subject>resolve magnitude bias</dc:subject>
          <dc:subject>rational architectural constraints</dc:subject>
          <dc:subject>polynomial basis functions</dc:subject>
          <dc:subject>nonlinear saturation limits</dc:subject>
          <dc:subject>neural residual paradigm</dc:subject>
          <dc:subject>multicompartment scale separations</dc:subject>
          <dc:subject>menten kinetics ).</dc:subject>
          <dc:subject>governing kinetic laws</dc:subject>
          <dc:subject>fundamental biological benchmarks</dc:subject>
          <dc:subject>fly feature normalization</dc:subject>
          <dc:subject>extrapolate physical saturation</dc:subject>
          <dc:subject>demonstrate clinical applicability</dc:subject>
          <dc:subject>constrained rational layers</dc:subject>
          <dc:subject>box framework tailored</dc:subject>
          <dc:subject>interpretable mechanism discovery</dc:subject>
          <dc:subject>driven mechanism discovery</dc:subject>
          <dc:subject>informed neural surrogate</dc:subject>
          <dc:subject>based optimization scheme</dc:subject>
          <dc:subject>max &lt;/ sub</dc:subject>
          <dc:subject>high precision (&lt;</dc:subject>
          <dc:subject>dominated biochemical settings</dc:subject>
          <dc:subject>compartment pharmacokinetic model</dc:subject>
          <dc:subject>automated discovery</dc:subject>
          <dc:subject>v &lt;/</dc:subject>
          <dc:subject>informed gray</dc:subject>
          <dc:subject>based minimization</dc:subject>
          <dc:subject>&gt;&lt; sub</dc:subject>
          <dc:subject>systems biology</dc:subject>
          <dc:subject>sparse sampling</dc:subject>
          <dc:subject>seed ensembles</dc:subject>
          <dc:subject>robust pharmacokinetics</dc:subject>
          <dc:subject>fundamentally fail</dc:subject>
          <dc:subject>experimental domains</dc:subject>
          <dc:subject>elimination rates</dc:subject>
          <dc:subject>critical challenge</dc:subject>
          <dc:subject>chemical engineering</dc:subject>
          <dc:subject>biochemical dynamics</dc:subject>
          <dc:description>The automated discovery of governing kinetic laws from
observational
data is a critical challenge in systems biology, pharmacology, and
chemical engineering. In these experimental domains, data-driven mechanism
discovery is complicated by sparse sampling, measurement noise (e.g.,
blood assays), and the prevalence of nonlinear saturation limits (Michaelis-Menten
kinetics). Existing symbolic regression methods, such as SINDy, rely
on polynomial basis functions that fundamentally fail to extrapolate
physical saturation, and their reliance on numerical differentiation
degrades catastrophically in high-noise regimes (&gt;5%). In this
work,
we introduce ChemODE, a physics-informed gray-box framework tailored
for biochemical and pharmacokinetic (PK) networks. ChemODE integrates
(1) Constrained Rational Layers to autonomously enforce physical saturation
laws, (2) On-the-fly Feature Normalization to resolve magnitude bias
in multicompartment scale separations, and (3) a noise-robust integral-based
optimization scheme. We validate ChemODE on fundamental biological
benchmarks, including the nonlinear Brusselator limit cycle and a
synthetic 3-compartment pharmacokinetic model. To demonstrate clinical
applicability, ChemODE successfully extracts physiological absorption
and elimination rates from real-world human theophylline pharmacokinetic
assays. Furthermore, rigorous uncertainty quantification (10-seed
ensembles) proves that ChemODE recovers enzyme kinetics with high
precision (&lt;i&gt;V&lt;/i&gt;&lt;sub&gt;max&lt;/sub&gt; error ≈ 1%), significantly
outperforming unconstrained baselines. This work establishes that
integral-based minimization, combined with rational architectural
constraints and a neural residual paradigm, provides a robust surrogate
modeling path for interpretable mechanism discovery in noise-dominated
biochemical settings.</dc:description>
          <dc:date>2026-09-30T00:00:00Z</dc:date>
          <dc:type>Text</dc:type>
          <dc:type>Journal contribution</dc:type>
          <dc:identifier>10.1021/acsomega.6c04487.s001</dc:identifier>
          <dc:relation>https://figshare.com/articles/journal_contribution/ChemODE_A_Physics-Informed_Neural_Surrogate_for_Robust_Pharmacokinetics_and_Biochemical_Dynamics/34030473</dc:relation>
          <dc:rights>CC BY-NC 4.0</dc:rights>
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