quantum-compartmental-pkpd

name

quantum-compartmental-pkpd

description

Quantum circuit simulation of compartmental pharmacokinetic/pharmacodynamic (PK/PD) models using variational quantum algorithms. Reformulates classical ODE-based drug dynamics as open quantum systems. Use when: quantum pharmacokinetics, quantum PK/PD modeling, compartmental drug dynamics, variational quantum algorithms for drug simulation, population pharmacokinetics, quantum drug modeling, PennyLane PK/PD, open quantum system pharmacology.

Quantum Compartmental PK/PD Simulation

Based on arXiv:2605.09691 "Quantum Circuit Simulation of Compartmental Drug Dynamics".

Methodology

1. Reformulate compartmental model: Transform classical PK/PD ODEs into open quantum system formalism
2. Qubit encoding: Encode pharmacological compartments (central, peripheral, effect-site, response) using multi-qubit representations
3. Controlled operations: Model inter-compartmental transitions via controlled quantum gates
4. Variational parameter estimation: Use VQE-style optimization to fit population PK parameters
5. Nonlinear mixed-effects: Embed population-level variability through quantum circuit parameter distributions

Implementation (PennyLane)

import pennylane as qml

# Define quantum circuit for compartment transitions
def pkpd_circuit(params, compartments=4):
    n_qubits = compartments * 3  # 3 qubits per compartment
    for i in range(n_qubits):
        qml.RY(params[i], wires=i)
    
     i  (compartments - ):
        qml.CRY(params[i], wires=[i*, (i+)*])
     qml.expval(qml.PauliZ())