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The development of a predictive model for bone remodeling is becoming increasingly important for medical applications such as bone surgery or bone substitutes like prostheses. However, as bone remodeling is a complex multiphysics phenomenon and difficult to quantify experimentally, predictive numerical models remain, at best, phenomenologically driven. Patient dependency is often ignored as its influence is usually considered secondary, although it is known to play an important role over long periods of time. Another difficulty to study this patient dependency is the availability of experimental samples to carry out extensive analyses. Using our recently developed statistical reconstruction framework, a set of “bone like” microstructures with variety of distributions has been created to study pseudo “patient variabilities.” The method provides similar effective stiffness tensor, equivalent stresses, and strain energy distributions for the original and the statistically reconstructed samples. The main outcome of this study is the correlation of similar effective mechanical properties between samples when bone remodeling will depend on the local strain energy distribution as a function of each bone microstructure. It is expected that two different microstructures with equivalent bone volume fraction will lead to identical bone remodeling in a short period of time, whereas this needs to be proven for long term evolution. This work could be used to develop precise predictive numerical models while developing parametric studies on an infinite number of virtual samples and correlating patient dependency with more precise mechanobiological numerical models.

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In this paper, we examine the relationship between inflation rate and profitability ratios in the top 36 companies in the Tehran Stock Exchange (TSE). The study uses historical data over the period 2005-2010 and using linear regression methods examines different hypotheses. The main idea of the proposed hypotheses is that there is a significant relationship between the inflation rate and profitability ratios, and the results confirm the significant relationship between the inflation rate and profitability ratios such as return on assets (ROA) ratio, return on equity (ROE) ratio, gross profit (GPR) as well as net profit ratio (NPR). There is no significant correlation, however, between these two variables in past and future periods