Determination of diffusion coefficients in bovine bone by means of conductivity measurement

Lindberg, Gustav; Shokry, Abdallah; Reheman, Wureguli; Svensson, Ingrid

doi:10.1504/ijecb.2014.066086

Cited by 6 publications

(6 citation statements)

References 17 publications

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“…To achieve the best possible standardization of root canal wall thickness, the bovine compact bone was chosen as it was used to study bond strength of adhesives [28] or for standardized in vitro model of fracture resistance [29]. The permeability coefficient of human dentin is 2.7 × 10 -4 cm/min and that of bovine compact bone is 1.1 × 10 -5 cm/min [30,31]. The permeability of dentin is influenced by thickness of dentin, distance from dental pulp, localization of dentin [32], and by irrigation protocols used in endodontics, especially when ethylenediaminetetraacetic acid (EDTA) is used [33].…”

Section: Discussionmentioning

confidence: 99%

Assessment of Mineral Trioxide Aggregate Setting in Simulated Root Canal with Different Root Canal Wall Thickness: In Vitro Study

et al. 2021

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Setting of mineral trioxide aggregate (MTA) is affected by various factors. The purpose of this in vitro study was to evaluate the influence of root canal wall thickness on mechanical properties of MTA along the whole apical plug. Bovine bone mold tubes with internal diameter of 2 mm, height of 5 mm, and wall thickness of 0.8 mm, 1.2 mm, and 1.6 mm were filled with 3 mm ProRoot MTA and were kept in 37 °C and relative humidity of 100% for 7 days. The indentation hardness and reduced modulus of elasticity were measured in a large overview matrix and detailed matrix placed 1.5 mm from simulated apical foramen in order to obtain particularized information about gradient of altering mechanical properties. The uppermost layer of material in contact with simulated apical foramen had reduced mechanical properties irrespective of root canal wall thickness. The most distinct decrease of microhardness (32%) and reduced modulus of elasticity (27%) in interfacial layer were present in specimen with thinnest root canal wall. This effect could be observed in detailed measurement up to 190 µm in material. The interfacial layer of MTA, which was in contact during setting with root canal wall thinner than 1.2 mm, had reduced mechanical properties.

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Section: Discussionmentioning

confidence: 99%

Assessment of Mineral Trioxide Aggregate Setting in Simulated Root Canal with Different Root Canal Wall Thickness: In Vitro Study

et al. 2021

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“…In [11,13,17], the R k was chosen to be a small percentage of the measured data, and the Q k value was chosen to be zero. In a recent study, the R k value was chosen as the difference between the measured data and a predicted data a round the measured data, and the Q k was chosen to be unity [19].…”

Section: Methodsmentioning

confidence: 99%

“…During elapsing time the conductivity, ζ(t), of the water increases in proportion to the ionic concentration. The experiment is reported in Lindberg et al [19]. Cubic bone samples with the side length L =10.1 mm from a bovine long bone were used.…”

Section: Case Studiesmentioning

confidence: 99%

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A methodology for using Kalman filter to determine material parameters from uncertain measurements

Shokry

Ståhle

2015

Materials Discovery

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A Kalman filter can be used to determine material parameters using uncertain experimental data. However, starting with inappropriate initial values for material parameters might include false local attractors or even divergence. Also, inappropriate choices of covariance errors of initial state, present state, and measurements might affect the stability of the prediction. The present method suggests a simple way to predict the parameters and the errors, required to start Kalman filter based on known parameters that are used to generate the data with different noises used as "measurement data". The method consists of two steps. First, an appropriate range of parameter values is chosen based on a graphical representation of the mean square error. Second, the Kalman filter is used based on the selected range and the suggested parameters and errors. The method of the filter significantly reduces the iteration time, and covers a wide range of initial suggested values for the parameters compared with the standard Kalman filter. When the methodology is applied to real data, very good results are obtained. Diffusion coefficient for bovine bone is chosen to be a case study in this work.

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“…In bone tissue, the transport of fluids and solutes is a concern for the bone formation and remodelling. The diffusion coefficients of different solutes in cortical bone of mammals were investigated using different techniques (Patel et al 2004;Wang et al 2005;Li et al 2009;Lindberg et al 2014). Further, the diffusion coefficients of water in trabecular bone tissue for humans were studied by Marinozzi et al (2014a, b).…”

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confidence: 99%

A Superposition Procedure for Calculation of Effective Diffusion and Elastic Parameters of Sparsely Porous Materials

et al. 2017

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Effective material parameters for diffusion and elastic deformation are calculated for porous materials using a continuum theory-based superposition procedure. The theory that is limited to two-dimensional cases, requires that the pores are sufficiently sparse. The method leads to simple manual calculations that can be performed by, e.g. hospital staff at clinical diagnoses of bone deceases that involve increasing levels of porosity. An advantage is that the result relates to the bone material permeability and stiffness instead of merely pore densities. The procedure uses precalculated pore shape factors and exact size scaling. The remaining calculations do not require any knowledge of the underlying field methods that are used to compute the shape factors. The paper establishes the upper limit for the pore densities that are sufficiently sparse. A cross section of bovine bone is taken as an example. The superposition procedure is evaluated against a full scale finite element calculation. The study compares the pore induced change of the diffusion coefficient and elastic modulus. The predictions differ between superposition and full scale calculations with 0.3% points when pore contribution to the diffusion constant is 3-7%, and 0.7% points when the pore contribution to the modulus of elasticity is 4.5-5%. It is uncertain if the error is in the superposition method, which is exact for small pore densities, while the full scale finite model is not.

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Determination of diffusion coefficients in bovine bone by means of conductivity measurement

Cited by 6 publications

References 17 publications

Assessment of Mineral Trioxide Aggregate Setting in Simulated Root Canal with Different Root Canal Wall Thickness: In Vitro Study

Assessment of Mineral Trioxide Aggregate Setting in Simulated Root Canal with Different Root Canal Wall Thickness: In Vitro Study

A methodology for using Kalman filter to determine material parameters from uncertain measurements

A Superposition Procedure for Calculation of Effective Diffusion and Elastic Parameters of Sparsely Porous Materials

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