Page 32 - Mathematical Techniques of Fractional Order Systems
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22  Mathematical Techniques of Fractional Order Systems




                       8 7 6
                      Osteoclasts C(t) [cells]  5 4 3 2





                       0 1
                       0
                        0.1
                          0.2                                     2000
                            0.3                              1600 1800
                             0.4
                               0.5                      1200 1400
                                 0.6                  1000
                                   0.7              800
                                     0.8         600
                                      0.9    200  400
                        Distance - x ∈ [0,1]  1  0   Time - t [days]
                      450
                     Osteoclasts B(t) [cells]  350
                      400
                      300
                      250
                      200
                      150
                      100
                       0
                        0.1
                         0.2
                          0.3
                            0.4
                             0.5                                  2000
                               0.6                          1600  1800
                                0.7                    1200  1400
                                 0.8             800  1000
                                   0.9      400  600
                     Distance - x ∈ [0,1]  1  0  200
                                                 Time - t [days]
                     Bone mass Z(t) [%]  140 40
                      120
                      100
                      80
                      60
                      20
                       0
                        0.1
                          0.2
                           0.3                                    2000
                             0.4                             1600  1800
                               0.5                        1400
                                 0.6                  1000  1200
                                  0.7              800
                                    0.8          600
                        Distance - x ∈ [0,1]  0.9  200  400
                                        1  0        Time - t [days]
            FIGURE 1.8 (Continued).
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