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One-dimensional drug release from finite Menger sponges: In silico simulation

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  • Villalobos, Rafael
  • Domínguez, Armando
  • Ganem, Adriana
  • Vidales, Ana Maria
  • Cordero, Salomón

Abstract

The purpose of this work was to evaluate the consequences of the spatial distribution of components in pharmaceutical matrices type Menger sponge on the drug release kinetic from this kind of platforms by means of Monte Carlo computer simulation. First, six kinds of Menger sponges (porous fractal structures) with the same fractal dimension, df=2.727, but with different random walk dimension, dw∈[2.149,3.183], were constructed as models of drug release device. Later, Monte Carlo simulation was used to describe drug release from these structures as a diffusion-controlled process. The obtained results show that drug release from Menger sponges is characterized by an anomalous behavior: there are important effects of the microstructure anisotropy, and porous structures with the same fractal dimension but with different topology produce different release profiles. Moreover, the drug release kinetic from heteromorphic structures depends on the axis used to transport the material to the external medium. Finally, it was shown that the number of releasing sites on the matrix surface has a significant impact on drug release behavior and it can be described quantitatively by the Weibull function.

Suggested Citation

  • Villalobos, Rafael & Domínguez, Armando & Ganem, Adriana & Vidales, Ana Maria & Cordero, Salomón, 2009. "One-dimensional drug release from finite Menger sponges: In silico simulation," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2875-2884.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:5:p:2875-2884
    DOI: 10.1016/j.chaos.2009.04.007
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    References listed on IDEAS

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    1. Villalobos, Rafael & Cordero, Salomón & Maria Vidales, Ana & Domínguez, Armando, 2006. "In silico study on the effects of matrix structure in controlled drug release," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 367(C), pages 305-318.
    2. Tarafdar, Sujata & Franz, Astrid & Schulzky, Christian & Hoffmann, Karl Heinz, 2001. "Modelling porous structures by repeated Sierpinski carpets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 292(1), pages 1-8.
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    Cited by:

    1. Gomes Filho, Márcio Sampaio & Oliveira, Fernando Albuquerque & Barbosa, Marco Aurélio Alves, 2016. "A statistical mechanical model for drug release: Investigations on size and porosity dependence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 460(C), pages 29-37.
    2. Gomes-Filho, Márcio Sampaio & Barbosa, Marco Aurélio Alves & Oliveira, Fernando Albuquerque, 2020. "A statistical mechanical model for drug release: Relations between release parameters and porosity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).

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