Adsorption of Cisplatin Molecules in Nanoporous Inorganic Materials as Drug Delivery Vehicles

The use of nanoparticles as anticancer cargo systems for drug delivery is a promising modality, as they avoid the known toxicity of anticancer drugs on healthy cells by the delivery of multiple drugs to the target cells. Here, the adsorption behavior of cisplatin drug molecules in two different inor...

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Main Author: Mansoor H. Alshehri
Format: Article
Language:English
Published: MDPI AG 2022-03-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/7/1018
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author Mansoor H. Alshehri
author_facet Mansoor H. Alshehri
author_sort Mansoor H. Alshehri
collection DOAJ
description The use of nanoparticles as anticancer cargo systems for drug delivery is a promising modality, as they avoid the known toxicity of anticancer drugs on healthy cells by the delivery of multiple drugs to the target cells. Here, the adsorption behavior of cisplatin drug molecules in two different inorganic materials, silica and metallic gold, is investigated mathematically. The 6–12 Lennard-Jones potential, together with the continuum approximation, is adapted to calculate the molecular interatomic energies between molecules. For each material, the relation between the pore radius <i>ℓ</i> and the minimum energy is determined, and the results indicate that the minimum energy occurs when the radii are <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>ℓ</mi><mo>=</mo><mn>5.3</mn></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>ℓ</mi><mo>=</mo><mn>4.7</mn></mrow></semantics></math></inline-formula> Å for the silica and gold nanopores, respectively. The method is promising for applications in the design of novel nanocapsules for future targeted drug and gene delivery.
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spelling doaj.art-c3fb2c97a23d40279a92dde273795cd12023-11-30T23:35:58ZengMDPI AGMathematics2227-73902022-03-01107101810.3390/math10071018Adsorption of Cisplatin Molecules in Nanoporous Inorganic Materials as Drug Delivery VehiclesMansoor H. Alshehri0Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaThe use of nanoparticles as anticancer cargo systems for drug delivery is a promising modality, as they avoid the known toxicity of anticancer drugs on healthy cells by the delivery of multiple drugs to the target cells. Here, the adsorption behavior of cisplatin drug molecules in two different inorganic materials, silica and metallic gold, is investigated mathematically. The 6–12 Lennard-Jones potential, together with the continuum approximation, is adapted to calculate the molecular interatomic energies between molecules. For each material, the relation between the pore radius <i>ℓ</i> and the minimum energy is determined, and the results indicate that the minimum energy occurs when the radii are <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>ℓ</mi><mo>=</mo><mn>5.3</mn></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>ℓ</mi><mo>=</mo><mn>4.7</mn></mrow></semantics></math></inline-formula> Å for the silica and gold nanopores, respectively. The method is promising for applications in the design of novel nanocapsules for future targeted drug and gene delivery.https://www.mdpi.com/2227-7390/10/7/1018mathematical modelingcisplatin moleculecontinuum approximationinorganic materialsdrug deliveryLennard-Jones potential
spellingShingle Mansoor H. Alshehri
Adsorption of Cisplatin Molecules in Nanoporous Inorganic Materials as Drug Delivery Vehicles
Mathematics
mathematical modeling
cisplatin molecule
continuum approximation
inorganic materials
drug delivery
Lennard-Jones potential
title Adsorption of Cisplatin Molecules in Nanoporous Inorganic Materials as Drug Delivery Vehicles
title_full Adsorption of Cisplatin Molecules in Nanoporous Inorganic Materials as Drug Delivery Vehicles
title_fullStr Adsorption of Cisplatin Molecules in Nanoporous Inorganic Materials as Drug Delivery Vehicles
title_full_unstemmed Adsorption of Cisplatin Molecules in Nanoporous Inorganic Materials as Drug Delivery Vehicles
title_short Adsorption of Cisplatin Molecules in Nanoporous Inorganic Materials as Drug Delivery Vehicles
title_sort adsorption of cisplatin molecules in nanoporous inorganic materials as drug delivery vehicles
topic mathematical modeling
cisplatin molecule
continuum approximation
inorganic materials
drug delivery
Lennard-Jones potential
url https://www.mdpi.com/2227-7390/10/7/1018
work_keys_str_mv AT mansoorhalshehri adsorptionofcisplatinmoleculesinnanoporousinorganicmaterialsasdrugdeliveryvehicles