# A Quantitative Model of Chemotherapeutic Drug Sensitivity as a Function of P-Glycoprotein Expression

## TL;DR

This study shows that drug sensitivity in cancer cells is linearly related to P-glycoprotein levels, offering a quantitative model for predicting chemotherapeutic response.

## Contribution

The study establishes a linear and first-order mathematical relationship between P-glycoprotein expression and drug sensitivity in cancer cells.

## Key findings

- Chemotherapeutic sensitivity is linearly related to P-glycoprotein expression in two model cell lines.
- Calcein accumulation and influx rate follow first-order kinetics with respect to P-glycoprotein density.
- Vmax in transport kinetics varies linearly with P-glycoprotein density according to a Michaelis–Menten model.

## Abstract

(1) Background: Overexpression of P-glycoprotein (P-gp) is one mediator of multidrug resistance in cancer. While many studies demonstrate the efficacy of modulating P-glycoprotein expression to increase drug response in cancer cells, the nature of the mathematical relationship between drug sensitivity and P-glycoprotein surface density is not yet characterized. (2) Methods: In this study, we employ siRNA to modulate P-gp expression in two model cell lines and evaluate their steady-state response to three common chemotherapeutics in vitro. Additionally, we model the kinetics of calcein-AM, a P-gp substrate, as a function of P-gp expression. (3) Results: For both cell lines, a robust linear relationship governs chemotherapeutic sensitivity as a function of P-gp expression, demonstrating that characterization of P-gp surface density is a strong indicator of drug response in drug-resistant cells. Furthermore, calcein accumulation and initial influx rate exhibit first-order kinetics with respect to P-gp density, further elucidating the nature of substrate interactions with P-gp-overexpressing cells. When transport kinetics are evaluated using a Michaelis–Menten model, Vmax varies with P-gp density according to a first-order relationship. (4) Conclusions: These results establish the mathematical relationships between chemotherapeutic response and substrate influx as a function of P-gp expression and suggest that rational changes in P-gp expression could be used as a predictive measure of drug sensitivity in model cell lines.