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Fok et al.                                                                                                                                                                     Skin temperature of laser for Nevus of Ota






























           Figure 4: Plot of a patient’s facial skin temperature before Q-switched ruby laser treatment for Nevus of Ota with infrared thermal image
           instrument






























           Figure 5: Plot of a patient’s facial skin temperature 15 s after Q-switched ruby laser treatment with an energy density of 9 J/cm 2

           biochemistry occurs. [30]  As such, an perfect heat transfer   W C (Tb - T)/K + Q/K = 0,
                                                                b
                                                                  b
           analysis model is impossible obtain. It is common to   Q = Q  + Q  + τ(ǝQ /ǝt + ǝQ /ǝt).
                                                                        r
                                                                   m
                                                                               m
                                                                                       r
           use the Pennes equation to approximate the prediction
           of tissue temperature distrbution in bioheat transfer   Here, K is presumed as a constant; Q represents the
           studies. On the other hand, some researchers  have   changes of tissues in terms of the heat source (including
           discovered that the behavior of waves has to be taken   the metabolic rate of tissue); Q  is the thermal energy
                                                                                         m
           into account in bioheat transfer studies when using fast   transformed from chemical  energy caused  by partial
           heating systems. [31,32]  This has led to the proposal of   metabolism; [W C (Tb  -  T)]  is  the  blood  flow  (the
                                                                              b
                                                                            b
           the thermal wave theory and thermal wave equation.   thermal energy transmitted from  in/out controlled
           The thermal wave equation can be expressed as:     volume blood);  Q   shows the volumetric heating;  K
                                                                              r
                                                              [W/(m •k)]  is  the  thermal  conductivity;  W [kg/(m •s)]
                                                                                                          3
                                                                   2
                                                                                                    b
           ǝ T/ǝx  - (rCτ/K)*(ǝ T/ǝt ) - [(rC + τW C )/K]*(ǝT/ǝt) +   is the blood perfusion rate; C  and C [J(kg•k)] are the
                 2
            2
                             2
                                 2
                                             b  b                                       b
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