Abstract

Local delivery of anticancer drug in tumor using miniaturized implants over a prolonged period of time is a powerful treatment strategy that provides lower toxicity and higher drug bioavailability compared to conventional systemic chemotherapy. Prediction of anticancer drug distribution in tumor following implantation of the drug implant is necessary to improve and optimize the implantable drug delivery systems (IDDSs). In this paper, we develop mathematical and stochastic simulation models for the prediction of spatiotemporal concentration of anticancer doxorubicin following implantation of a dual-release implant in an isolated tumor microenvironment (TME). Our model utilizes mathematical convolution of the channel impulse response (CIR) with the drug release function based on the abstraction of molecular communication. The derived CIR can be used to obtain drug concentration profile in the surrounding tissue for various release profiles and different anticancer drugs. We derive closed-form analytical expression for anticancer drug concentration. The required release rates are obtained by fitting the experimental data on dual-release implant available in the literature to a mathematical expression. In addition, we also present a particle-based stochastic simulator and compare the results with those predicted by the analytical model. The accuracy of predictions by both the models is further verified by comparing with the published experimental data in the literature. Both the proposed models can be useful for the design optimization of the implantable drug delivery systems (IDDSs) in tumors and other tissues and can potentially reduce the number of animal experiments thus saving cost and time.

Highlights

  • Cancer is a group of diseases characterized by uncontrolled growth and spread of abnormal cells [1]

  • The main contributions of this paper can be summarized as follows: (1) development of a new mathematical model for drug release and distribution of anticancer drug doxorubicin (DOX) following implantation of dualrelease drug-loaded implant in the tumor using the molecular communication (MC) paradigm coupled with the convolution approach

  • RESULTS we will first examine the accuracy of the channel impulse response (CIR), given in (34), which is the basis for deriving the drug concentration profile

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Summary

INTRODUCTION

Cancer is a group of diseases characterized by uncontrolled growth and spread of abnormal cells [1]. The main contributions of this paper can be summarized as follows: (1) development of a new mathematical model for drug release and distribution of anticancer drug doxorubicin (DOX) following implantation of dualrelease drug-loaded implant in the tumor using the molecular communication (MC) paradigm coupled with the convolution approach. In contrast to other existing models, the analytical model proposed in this paper offers a more general approach for obtaining the spatiotemporal drug concentration profile to any drug release function of the VOLUME 7, 2019. (4) We employ realistic drug release rate function to develop a closed-form analytical expression for anticancer drug concentration profile in the tumor This is done by fitting a mathematical function to the published experimental release data of dual-release implant [7].

DEVELOPMENT OF ANALYTICAL MODEL
DRUG RELEASE KINETICS
RESULTS
CONCLUSION
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