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The osteogenetic activities of mesenchymal stem cells in response to Mg2+ ions and inflammatory cytokines: a numerical approach using fuzzy logic controllers

Fig 10

The complete flow of the implemented FL controller in this study.

In step 1, the cellular inputs are transformed to linguistic variables using the membership functions given in (A). A set of triangular and trapezoid memberships functions are used during this fuzzification process. Similarly, cellular outputs of early and late differentiation rates are defined in linguistic formats using the membership functions given in (B). A set of Gaussian membership functions are used for this purpose. In step 2, the FL controller receives the cellular inputs and calculates the cellular outputs, both in linguistic form. In step 3, the outputs are defuzzified and converted into crisp, real values using the centroid approach (C). The terms ‘ED’ and ‘LD’ stand for early differentiation and late differentiation, respectively.

Fig 10

doi: https://doi.org/10.1371/journal.pcbi.1010482.g010