A coupled drug kinetics-cell cycle model to analyse the response of human cells to intervention by topotecan

M J Chappell1, N D Evans, R J Errington

  • 1School of Engineering, University of Warwick, Coventry, UK. mjc@eng.warwick.ac.uk

Insights

This study presents a novel model linking anti-cancer drug topotecan (TPT) kinetics with cell cycle responses. The model accurately predicts how TPT perturbs cell cycles, validated by experimental data.

Area of Science:

  • Pharmacology
  • Cell Biology
  • Mathematical Modeling

Background:

  • Understanding how anti-cancer drugs affect cell division is crucial for developing effective cancer therapies.
  • Existing models often treat drug kinetics and cell cycle responses separately, limiting insights into drug-induced perturbations.

Purpose of the Study:

  • To develop and validate a novel, integrated mathematical model for human cell growth in response to topotecan (TPT).
  • To illustrate the mechanism by which TPT perturbs the cell cycle by coupling drug kinetics with cellular responses.

Main Methods:

  • Developed a coupled mathematical model integrating TPT pharmacokinetics and cell cycle kinetics.
  • Utilized in vitro experimental data of single-cell descriptors (molecular and behavioral events) for model validation.
  • Compared model predictions against experimental data across a range of TPT concentrations.

Main Results:

  • The integrated model successfully captured the complex interplay between TPT and the cell cycle.
  • Demonstrated good qualitative agreement between model predictions and experimental in vitro cell cycle response data.
  • The model effectively illustrates how TPT dose levels influence cell cycle perturbations.

Conclusions:

  • The novel coupled model provides a unified framework for studying drug effects on cell cycle dynamics.
  • This approach enhances our understanding of topotecan's mechanism of action at the single-cell level.
  • The validated model can serve as a predictive tool for anti-cancer drug efficacy and cellular response.

Related Concept Videos

Inhibition of Cdk Activity02:34

Inhibition of Cdk Activity

The orderly progression of the cell cycle depends on the activation of Cdk protein by binding to its cyclin partner. However, the cell cycle must be restricted when undergoing abnormal changes. Most cancers correlate to the deregulated cell cycle, and since Cdks are a central component of the cell cycle, Cdk inhibitors are extensively studied to develop anticancer agents. For instance, cyclin D associates with several Cdks, such as Cdk 4/6, to form an active complex. The cyclin D-Cdk4/6 complex...
Pharmacodynamic Models: Direct Effect Model and Indirect Response Model01:29

Pharmacodynamic Models: Direct Effect Model and Indirect Response Model

Pharmacodynamic models are essential tools in understanding the relationship between drug concentrations and their effects on biological systems. By characterizing the dynamics of drug action, these models guide dose selection, optimize therapeutic efficacy, and inform the development of new drugs. Two major classes of pharmacodynamic models include direct effect and indirect response models.Direct Effect ModelsDirect effect models describe the immediate relationship between drug concentration...
Pharmacokinetic–Pharmacodynamic Relationship: Model Components01:14

Pharmacokinetic–Pharmacodynamic Relationship: Model Components

Pharmacokinetic-pharmacodynamic (PK–PD) modeling is essential in drug development and clinical pharmacology. It provides a quantitative framework to predict drug behavior and response over time. This approach integrates pharmacokinetics (PK), which describes the drug's absorption, distribution, metabolism, and excretion, with pharmacodynamics (PD), which characterizes the drug’s biological effects and mechanisms of action.The disposition kinetics of a drug determine its plasma...
Pharmacodynamic Models: Emax Drug–Concentration Effect Model01:18

Pharmacodynamic Models: Emax Drug–Concentration Effect Model

The Emax drug-concentration effect model is central to pharmacodynamics in drug discovery and development. This model is predicated on the receptor occupancy theory, which posits that the effect of a drug is directly related to the number of receptors occupied by the drug and the resultant complex formation.The model describes the reversible interaction between a drug (C) and a receptor (R) to form a drug-receptor complex (RC). The kinetics of this interaction are quantified by an equation that...
Pharmacodynamic Models: Linear Concentration–Effect Model01:15

Pharmacodynamic Models: Linear Concentration–Effect Model

The linear concentration–effect model, underpinned by the principle that pharmacological effect (E) is directly proportional to plasma drug concentration (C), emerges as a pivotal simplification of the Emax model for conditions where C is significantly less than EC50. This model portrays a linear trajectory of the concentration–effect relationship when drug levels are markedly below the EC50 threshold.Despite its inherent assumption of continuous effect augmentation with increasing drug...
Pharmacodynamic Models: Link Model and Systems Pharmacodynamic Model01:14

Pharmacodynamic Models: Link Model and Systems Pharmacodynamic Model

The link model is a fundamental pharmacokinetic-pharmacodynamic (PK–PD) approach to account for delayed drug responses when the observed effect does not immediately correlate with the drug's plasma concentration peak. This delay is mathematically addressed by introducing an effect compartment concentration, Ce, which is kinetically linked to the plasma concentration, Cp, via a first-order rate constant, ke0. The linkage allows for a more accurate prediction of drug effects over time. A higher...