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A statistical mechanical model for drug release: Investigations on size and porosity dependence

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  • Gomes Filho, Márcio Sampaio
  • Oliveira, Fernando Albuquerque
  • Barbosa, Marco Aurélio Alves

Abstract

A lattice gas model is proposed for investigating the release of drug molecules in capsules covered with semi-permeable membranes. Release patterns in one and two dimensional systems are obtained with Monte Carlo simulations and adjusted to the semi-empirical Weibull distribution function. An analytical solution to the diffusion equation is used to complement and guide simulations in one dimension. Size and porosity dependence analysis was made on the two semi-empirical parameters of the Weibull function, which are related to characteristic time and release mechanism, and our results indicate that a simple scaling law occurs only for systems with almost impermeable membranes, represented in our model by capsules with a single leaking site.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:460:y:2016:i:c:p:29-37
    DOI: 10.1016/j.physa.2016.04.040
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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. 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.
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    Cited by:

    1. Singh, Kulveer & Satapathi, Soumitra & Jha, Prateek K., 2019. "“Ant-Wall” model to study drug release from excipient matrix," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 519(C), pages 98-108.
    2. Ignacio, Maxime & Chubynsky, Mykyta V. & Slater, Gary W., 2017. "Interpreting the Weibull fitting parameters for diffusion-controlled release data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 486(C), pages 486-496.
    3. 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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    1. 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).
    2. Ignacio, Maxime & Chubynsky, Mykyta V. & Slater, Gary W., 2017. "Interpreting the Weibull fitting parameters for diffusion-controlled release data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 486(C), pages 486-496.
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    4. 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.

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