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Advances in Radiotherapy
            & Nuclear Medicine                                                Cone beam-focused GK dosimetric analysis



            2. The principle and dose calculation model
            of ZND-A Smart Knife

            2.1. Principle and components
            The ZND-A Smart Knife is designed for SRT of solid
            tumors in the head and body as well as lesions that require
            radiosurgery. The equipment is shown in Figure 1.
              ZND-A Smart Knife utilizes Cobalt-60 radioactive
            sources arranged in multiple concentric circles. By utilizing
            triple rotating and focusing of collimator, gamma-ray
            module, and drum, the system focuses 1.25 MeV average
            energy gamma rays onto the tumor or other pathological   Figure 1. Gamma beam stereotactic radiotherapy system
            tissues. The therapeutic goal is achieved by leveraging both
            the damaging and inhibitory effects of gamma rays on   circular pattern and installed in the gamma-ray module.
            tumors as well as the inherent radiosensitivity difference   The gamma rays produced by the radioactive sources are
            between tumor and healthy cells. Medical physicists   focused for the 1  time by the collimator. The gamma-ray
                                                                            st
            make  treatment plans  based  on tumor  radiobiological   module rotates around its own rotational axis. Due to the
            principles, ensuring that normal tissue doses remain   angular offset between the collimator axis and the module’s
            within acceptable levels. The Smart Knife’s control system   rotational axis, a secondary focus is formed during
            precisely positions the patient’s tumor or other pathological   rotation. As the module follows the rotating drum around
            tissue at the gamma-ray focal point based on the treatment   drum’s rotational axis, a tertiary focus is generated within
            plan made by Treatment Planning System (TPS). During   the drum. Through this three-stage gamma-ray focusing,
            repositioning, the stereotactic positioning system, guided   the equipment achieves a high focal-to-skin dose ratio and
            by the image-guided system, ensures accurate realignment   a steep dose gradient. 15
            of  the  target.  The  radioactive  sources  deliver  planned
            conformal irradiation at the target point. This integrated   2.2. Dose calculation model
            workflow ensures that tumors or other pathological tissues   The ZND-A Smart Knife uses isocentric irradiation, and
            are precisely treated while sparing healthy structures. 3  the dose calculation is based on the Tissue Maximum
              With the triple rotating and focusing technology, the   Ratio (TMR) and Off-Axis Ratio (OAR) dose calculation
            maximum energy is deposited within the lesion region,   model. The TMR and OAR are parameters decided by the
            while minimizing radiation exposure to normal tissue   collimator, source-to-axis distance, and machine-specific
            along the beam path.                               parameters in an actual installed machine. Thus, the TMR
                                                               and OAR data have to be measured on the actual machine
              In the interaction between gamma-ray and lesion, the   in the commissioning process. Then, the measured TMR
            relationship between the intensity of gamma rays and   and OAR baseline data would be imported to TPS for the
            the depth of the medium is represented by the following   TMR-OAR dose calculation model.
            equation:
                                                                 The coordinates of the dose calculation model are
            I t  = Ie − d                              (I)    shown in Figure 2. The dose D p(X, Y, Z) of point P(X, Y, Z)
                0
                                                               in the radiation field of ZND-A Smart Knife is represented
              where I and I are the intensity of gamma rays before   by the following equation :
                                                                                   4
                          t
                     0
            and after attenuation by medium, μ is the mass attenuation
                                                                 (
                                                                              ,,
                                                                                         (00
                                                                                             Z
            coefficient of the absorber medium, and d is the depth of   DX YZ,, ) = D (00  Z )∆ TMR ,, )
                                                                           m
                                                                                  m
            measurement in medium (path length in medium).          Z      2
                                                                                              (
                                                                                                  Z
                                                                                  (0
                                                               ∆   f +  + Z  ∆ OAR ,, )∆ OAAR X,,0 )     (II)
                                                                                    YZ
              As demonstrated by Equation Ⅰ, the intensity of gamma     f  m  
            rays gradually decreases with increasing penetration
            depth, depositing energy in the passing-through medium.   where  D   (0,0,Z )  is  the  dose  at  the  maximum  dose
                                                                         m
                                                                               m
            Therefore, to deposit the maximum energy (dose) in the   point depth on the central beam axis; TMR (0,0,Z) is the
            lesion region while minimizing radiation exposure to   ratio of the dose at depth Z on the central beam axis in
            normal tissue along the beam path, the ZND-A Smart   phantom to the dose at the same source-point distance
            Knife radioactive sources are arranged in a concentric   and the reference depth of the maximum dose (Z ); OAR
                                                                                                       m
            Volume 3 Issue 1 (2025)                         72                             doi: 10.36922/arnm.6280
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