A three-dimensional anisotropic point process characterization for pharmaceutical coatings
Autor: | Mariagrazia Marucci, Henrike Häbel, Claudia Redenbach, Katja Schladitz, Tuomas Rajala, Catherine Boissier, Aila Särkkä |
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Rok vydání: | 2017 |
Předmět: |
Statistics and Probability
chemistry.chemical_classification Materials science Isotropy 02 engineering and technology Polymer Management Monitoring Policy and Law engineering.material 021001 nanoscience & nanotechnology Branching (polymer chemistry) 01 natural sciences Point process Linear map 010104 statistics & probability Coating chemistry engineering Statistical physics 0101 mathematics Computers in Earth Sciences 0210 nano-technology Anisotropy Porosity |
Zdroj: | Spatial Statistics. 22:306-320 |
ISSN: | 2211-6753 |
Popis: | © 2017 Elsevier B.V. Spatial characterization and modeling of the structure of a material may provide valuable knowledge on its properties and function. Especially, for a drug formulation coated with a polymer film, understanding the relationship between pore structure and drug release properties is important to optimize the coating film design. Here, we use methods from image analysis and spatial statistics to characterize and model the pore structure in pharmaceutical coatings. More precisely, we use and develop point process theory to characterize the branching structure of a polymer blended film with data from confocal laser scanning microscopy. Point patterns, extracted by identifying branching points of pore channels, are both inhomogeneous and anisotropic. Therefore, we introduce a directional version of the inhomogeneous K-function to study the anisotropy and then suggest two alternative ways to model the anisotropic three-dimensional structure. First, we apply a linear transformation to the data such that it appears isotropic and subsequently fit isotropic inhomogeneous Strauss or Lennard-Jones models to the transformed pattern. Second, we include the anisotropy directly in a Lennard-Jones and a more flexible step-function model with anisotropic pair-potential functions. The methods presented will be useful for anisotropic inhomogeneous point patterns in general and for characterizing porous material in particular. |
Databáze: | OpenAIRE |
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