Stochastic Modeling of Tissue Engineering Scaffolds with Varying Porosity Levels

AbstractThis paper presents a stochastic modeling of tissue engineering scaffolds (porous artifacts) with controlled porosity. The internal architecture of the scaffolds is determined based on a given distribution and porosity level function. The discrete porosity levels are used to determine required expected number of pores for each region of the scaffold. Design variables with random distribution are used to model the spatial location of pores bio-mimetically. Because of the randomness of the distribution of pores, overlapped pores must be determined for calculating the porosity levels accurately. A new computational method based on simulation has been developed to calculate the expected overlapped volumes. Using the calculated overlapping factors, the required numbers of pores are determined to satisfy the required porosity levels at each region. The presented methods are implemented in a computing environment and examples are presented in this paper.

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