Abstract

This study numerically analyzes the fluid flow and solute transport in a solid tumor to comprehensively examine the consequence of normalization induced by anti-angiogenic therapy on drug delivery. The current study leads to a more accurate model in comparison to previous research, as it incorporates a non-homogeneous real-human solid tumor including necrotic, semi-necrotic, and well-vascularized regions. Additionally, the model considers the effects of concurrently chemotherapeutic agents (three macromolecules of , , and ) and different normalization intensities in various tumor sizes. Examining the long-term influence of normalization on the quality of drug uptake by necrotic area is another contribution of the present study. Results show that normalization decreases the interstitial fluid pressure (IFP) and spreads the pressure gradient and non-zero interstitial fluid velocity (IFV) into inner areas. Subsequently, wash-out of the drug from the tumor periphery is decreased. It is also demonstrated that normalization can improve the distribution of solute concentration in the interstitium. The efficiency of normalization is introduced as a function of the time course of perfusion, which depends on the tumor size, drug type, as well as normalization intensity, and consequently on the dominant mechanism of drug delivery. It is suggested to accompany anti-angiogenic therapy by in large tumor size () to improve reservoir behavior benefit from normalization. However, is proposed as the better option in the small tumor (), in which normalization finds the opportunity of enhancing uniformity of average exposure by 22%. This study could provide a perspective for preclinical and clinical trials on how to take advantage of normalization, as an adjuvant treatment, in improving drug delivery into a non-homogeneous solid tumor.

Highlights

  • Mathematical modeling has a significant role in the diagnosis and treatment of cancer [1,2,3,4].Cancer has a multi-scale nature spanning from intracellular to tissue, in which mathematical modeling is used in all scales [5]

  • Due to the necessity of opening a horizon in how the quality of drug delivery into the solid tumor is affected by anti-angiogenesis-induced normalization (AAIN), the present study addresses this issue by developing a numerical framework to model fluid flow and solute transport in the tumor interstitium

  • As illustrated in this figure and discussed in the following, anti-angiogenic therapy normalizes the tumor vasculature, which results in (1) decreasing the interstitial fluid pressure (IFP) in the interstitium, (2) establishing the IFP gradient and non-zero interstitial fluid velocity (IFV) in the areas far from the tumor periphery, (3) reducing the IFV at the tumor margin, (4) decreasing therapeutic agents oozing from the boundary, (5) improving the trans-vascular convection mechanism of solute transport, and (6) modifying the transvascular diffusion mechanism of solute transport

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Summary

Introduction

Mathematical modeling has a significant role in the diagnosis and treatment of cancer [1,2,3,4].Cancer has a multi-scale nature spanning from intracellular to tissue, in which mathematical modeling is used in all scales [5]. Mathematical modeling has a significant role in the diagnosis and treatment of cancer [1,2,3,4]. There exist recent studies [5,6,7,8,9,10,11,12,13] that applied mathematical modeling in different scales to simulate the various processes in the tumor microenvironment and its diagnosis and treatment. Pharmaceutics 2022, 14, 363 review on in silico modeling of tumor perfusion, angiogenesis, drug delivery, and studies that took advantage of clinical data. The present research studies drug delivery in cancer treatment. The quality of chemotherapy depends on the efficient delivery of therapeutic agents into the cancerous zones [17]

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