CN106772546B - One kind is considered by medium to heteropical charged particle equivalent depth acquisition methods - Google Patents

One kind is considered by medium to heteropical charged particle equivalent depth acquisition methods Download PDF

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CN106772546B
CN106772546B CN201611246410.XA CN201611246410A CN106772546B CN 106772546 B CN106772546 B CN 106772546B CN 201611246410 A CN201611246410 A CN 201611246410A CN 106772546 B CN106772546 B CN 106772546B
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CN106772546A (en
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胡丽琴
郑华庆
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Zhongke Chaojing (Nanjing) Technology Co., Ltd
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Zhongke Super Fine (anhui) Technology Co Ltd
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    • G01MEASURING; TESTING
    • G01TMEASUREMENT OF NUCLEAR OR X-RADIATION
    • G01T1/00Measuring X-radiation, gamma radiation, corpuscular radiation, or cosmic radiation
    • G01T1/36Measuring spectral distribution of X-rays or of nuclear radiation spectrometry
    • G01T1/38Particle discrimination and measurement of relative mass, e.g. by measurement of loss of energy with distance (dE/dx)

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Abstract

One kind is considered by medium to heteropical charged particle equivalent depth acquisition methods, on effective depth model in traditional quadrature depth dose, Gaussian intensity profile item in pencil beam and lattice cell volume are introduced as weight factor, average weighted electron density replacement conventional center axle density is obtained to be modified, avoid conventional method the lattice cell electron density passed through according to pencil beam central shaft correct effective depth when, do not take into full account that non-uniform dielectric of the pencil beam in addition to central shaft prevents and scattered the deficiency influenceed on charged particle energy, therefore the Rapid Dose Calculation precision that this method is proposed is higher.

Description

One kind is considered by medium to heteropical charged particle equivalent depth acquisition methods
Technical field
Consider to be related to core thing to heteropical charged particle equivalent depth acquisition methods by medium the present invention relates to one kind The fields such as reason, Application of Nuclear Technology.
Background technology
Emittance deposition measurement be widely used in environmental protection, radiation chemical engineering, food processing, Nuclear Technology and Applications, The fields such as Aero-Space.Wherein, the speed of energy deposition acquisition methods and precision are that the key during emittance deposition obtains is asked Topic.
Energy deposition acquisition methods are generally divided into analytic method and DSMC.Analytic method has quickly and equal The higher advantage of even pixel accuracy, but larger error be present in Nonuniform Domain Simulation of Reservoir;DSMC can be protected in all areas Degree of precision is held, but due to more time-consuming, its application is restricted.
Pencil beam (Pencil Beam, PB) energy deposition core that Monte Carlo simulation obtains, can characterize beam and be divided into Secondary charged particle caused by interaction between the pencil beam and medium of some finite size, it is caused in media as well Energy deposition.PB models can use as independent parsing Monte Carlo energy deposition acquisition methods.PB models are from water Dosage deposit what is obtained, it is actual calculate in often non-uniform dielectric, so needing to handle heterogeneity, typically make Equivalent depth is calculated with electronics density ratio, i.e., according to the integration of the ratio between media electronic density on course of the beam and aqueous electron densityThis method is substantially a scaling relation, it is believed that energy stopping power of the different medium to charged particle It is unrelated with medium concrete composition to be simply proportional to electron density.
Traditional PB models are handled heterogeneity longitudinal in pencil beam, but all have ignored laterally non-homogeneous Property, that is, what is considered is all the heterogeneity on form of a stroke or a combination of strokes central beam axis, at present all can only will by reducing pencil beam size Beam/launched field is divided into more pencil beams to reduce the influence of lateral heterogeneity, and currently used decomposition method is mainly orthogonal Decomposition on grid decomposition and annulus, as the term suggests the former is decomposed to the particle beams by rectangular mesh, and the latter is by the particle beams 6 on pencil beam and internal layer annulus centered on decomposition and 12 pencil beams on outer annular.But lateral heterogeneity Influence to be not that pencil beam size is reduced to very small with regard to that can ignore, and when the reduction of pencil beam size can bring calculating Between increase.There are some researches show the proton beam for there was only some millimeters for halfwidth, even if being decomposed into 49 pencil beams, error is still More than 10% can so be reached.
The content of the invention
It is an object of the invention to:Overcome conventional particle dose calculation methodology when calculating effective depth in precision not Foot, there is provided one kind considers that more preferable precision can be obtained to heteropical charged particle equivalent depth acquisition methods by medium.
Technical scheme is as follows:One kind is considered by medium to heteropical charged particle equivalent depth acquisition side Method, it is characterised in that comprise the following steps:
(1) the basic parameter information needed for obtaining:The energy information E of scanning computed tomography and incoming particle;
(2) the CT value conversions obtained according to step (1) obtain computation model lattice cell electron density information ρeWith average ionization Can Ie
(3) consider that the non-homogeneous corrected Calculation of transverse direction in pencil beam obtains:Equivalent electron density ρe' and average eguivalent ionization Can Ie’;
(4) stopping power S is calculated according to formula (1):
Wherein, r0For electronics classics radius, meFor electron mass, c is the light velocity, and β is the parameter in the theory of relativity, equal to powered Particle rapidity u divided by light velocity c, and the charged particle energy E that u can obtain according to step (1) is calculated;
(5) equivalent depth z is calculated according to formula (2)W(z):
Wherein, z ' is charged particle radiation dosage equivalent depth integration amount, and S (z ') is the stopping power that step (4) obtains, SW(z ') is the stopping power of same depth in water.
Calculating equivalent electron density information ρ in step (3)e' and average eguivalent ionization energy Ie' when, introduce in pencil beam Gaussian intensity profile item and lattice cell volume obtain average weighted electron density and ionization energy are substituted in tradition as weight factor Electron density and ionization energy in mandrel are modified, and the computational methods of equivalent electron density and average eguivalent ionization energy are
Wherein ρe' it is equivalent electron density information, I (x, y) is the intensity distribution of pencil beam, ρeIt is lattice cell electron density letter Breath;
Wherein Ie' it is average eguivalent ionization energy, I (x, y) is the intensity distribution of pencil beam, IeIt is lattice cell mean ionization energy letter Breath.
" do not take into full account that non-uniform dielectric of the pencil beam in addition to central shaft is hindered proton energy so as to overcome conventional method Only influenceed with scattering " and the calculating deviation brought, therefore model accuracy is higher.
The energy information in the charged particle radiation source used in the present invention, by the energy inverse method that has developed (Li Gui, The such as Zheng Huaqing, blue ocean is based on more algorithm radioactive source inversion methods, the patent No.:ZL200910116116.0) obtain.
The present invention compared with prior art the advantages of be:Invention introduces the Gaussian intensity profile item in pencil beam and Lattice cell volume obtains average weighted electron density replacement conventional center axle density and is modified, avoid as weight factor Conventional method the lattice cell electron density passed through according to pencil beam central shaft correct effective depth when, and do not take into full account Non-uniform dielectric of the pencil beam in addition to central shaft prevents and scattered the deficiency influenceed on charged particle energy, therefore this method is proposed Rapid Dose Calculation precision it is higher.
Brief description of the drawings
Fig. 1 is the schematic diagram in the present invention;
Fig. 2 is the inventive method implementation process figure.
Embodiment
As shown in Fig. 2 the embodiment of the present invention is as follows:
1. obtain calculating parameter:
(a) accurate charged particle radiation source ENERGY E is obtained, specific measuring method is shown in the energy inverse method developed (Li Gui, Zheng Huaqing, blue ocean, Meng Yao, Song Gang, the bright of Wu Yi are based on more algorithm radioactive source inversion methods, the patent No.: ZL200910116116.0),
(b) scanning computed tomography is obtained, according to CT values, can convert to obtain computation model lattice cell electron density information etc..
2. the CT Value Datas obtained according to step 1, model lattice cell electron density is calculated in the method demarcated using CT values Information ρe;(nineteen eighty-three publication) is reported according to ICRU the 37th, mean ionization energy I is calculatede
3. the Gaussian intensity profile item and lattice cell volume that introduce in pencil beam obtain average weighted electricity as weight factor Sub- density substitutes conventional center axle density and is modified, and takes into full account non-uniform dielectric of the pencil beam in addition to central shaft to proton energy Amount prevents and scattering influences, and equivalent electron density ρ is calculatede' and average eguivalent ionization energy Ie’:Passed through as shown in figure 1, avoiding conventional method according to pencil beam central shaft The lattice cell electron density crossed correct effective depth when, and do not take into full account non-uniform dielectric pair of the pencil beam in addition to central shaft The deficiency that charged particle energy prevents and scattering influences.Likewise it is possible to calculate average eguivalent ionization energy
4. stopping power S is calculated according to formula (1):
Wherein, r0For electronics classics radius, meFor electron mass, c is the light velocity, and β is the parameter in the theory of relativity, equal to powered Particle rapidity u divided by light velocity c, and the charged particle energy E that u can obtain according to step (1) is calculated;
5. equivalent depth z is calculated according to formula (2)W(z):
Wherein, z ' is charged particle radiation dosage equivalent depth integration amount, and S (z ') is the stopping power that step 4 obtains, SW (z ') is the stopping power of same depth in water.
6. calculated examples
Need to calculate the proton that energy is 200MeV, in inhomogeneity phantom, (3-5cm depth is lung and bone, and remaining is soft group Knit) equivalent depth:
(1) the CT values of lung are 300, and the CT values of bone are 1800, and the CT values of soft tissue are 1000.
(2) electron density of lung is about 0.22, and the electron density of bone is about 1.4, and the electron density of soft tissue is about 1.0.
(3) table look-up to obtain 200MeV protons and be respectively radiated on these three materials, its corresponding stopping power is respectively:Lung 1.14MeV/cm, bone 7.74MeV/cm, soft tissue 4.492MeV/cm.
(4) it is the equivalent depth at 26cm to calculate depth, it has been found that the equivalent depth for only considering lung is 24.44cm, only The equivalent depth for considering bone is 26.8cm, and consider it is other to the equivalent depth of non-homogeneous amendment be 25.62cm.
(5) dose value corresponding to above-mentioned three kinds of equivalent depths is respectively:12.3cGy, 0.1cGy and 21.51cGy, it is seen that not Consider that side is corrected in extreme circumstances to non-homogeneous, the influence to Rapid Dose Calculation is very big.
What the present invention did not elaborated partly belongs to techniques well known.
Although the illustrative embodiment of the present invention is described above, in order to the technology people of this technology neck Member understands the present invention, it should be apparent that the invention is not restricted to the scope of embodiment, to the ordinary skill of the art For personnel, as long as various change, in the spirit and scope of the present invention that appended claim limits and determines, these become Change is it will be apparent that all utilize the innovation and creation of present inventive concept in the row of protection.

Claims (2)

1. one kind is considered by medium to heteropical charged particle equivalent depth acquisition methods, it is characterised in that including following step Suddenly:
(1) the basic parameter information needed for obtaining:The energy information E of scanning computed tomography and incoming particle;
(2) the CT value conversions obtained according to step (1) obtain computation model lattice cell electron density information ρeWith mean ionization energy Ie
(3) consider that the non-homogeneous corrected Calculation of transverse direction in pencil beam obtains:Equivalent electron density ρe' and average eguivalent ionization energy Ie’;
(4) stopping power S is calculated according to formula (1):
<mrow> <mi>S</mi> <mo>=</mo> <mfrac> <mrow> <mn>4</mn> <msubsup> <mi>&amp;pi;r</mi> <mn>0</mn> <mn>2</mn> </msubsup> <msub> <mi>m</mi> <mi>e</mi> </msub> <msup> <mi>c</mi> <mn>2</mn> </msup> <msubsup> <mi>&amp;rho;</mi> <mi>e</mi> <mo>&amp;prime;</mo> </msubsup> </mrow> <msup> <mi>&amp;beta;</mi> <mn>2</mn> </msup> </mfrac> <mo>&amp;lsqb;</mo> <mi>l</mi> <mi>n</mi> <mfrac> <mrow> <mn>2</mn> <msub> <mi>m</mi> <mi>e</mi> </msub> <msup> <mi>c</mi> <mn>2</mn> </msup> </mrow> <msubsup> <mi>I</mi> <mi>e</mi> <mo>&amp;prime;</mo> </msubsup> </mfrac> <mo>-</mo> <mi>l</mi> <mi>n</mi> <mrow> <mo>(</mo> <mfrac> <mn>1</mn> <msup> <mi>&amp;beta;</mi> <mn>2</mn> </msup> </mfrac> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> <mo>-</mo> <msup> <mi>&amp;beta;</mi> <mn>2</mn> </msup> <mo>&amp;rsqb;</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>1</mn> <mo>)</mo> </mrow> <mo>,</mo> </mrow>
Wherein, r0For electronics classics radius, meFor electron mass, c is the light velocity, and β is the parameter in the theory of relativity, equal to charged particle Speed u divided by light velocity c, and the charged particle energy E that u can obtain according to step (1) is calculated;
(5) equivalent depth z is calculated according to formula (2)W(z):
<mrow> <msup> <mi>z</mi> <mi>w</mi> </msup> <mrow> <mo>(</mo> <mi>z</mi> <mo>)</mo> </mrow> <mo>=</mo> <munderover> <mo>&amp;Integral;</mo> <mn>0</mn> <mi>z</mi> </munderover> <mfrac> <mrow> <mi>S</mi> <mrow> <mo>(</mo> <msup> <mi>z</mi> <mo>&amp;prime;</mo> </msup> <mo>)</mo> </mrow> </mrow> <mrow> <msup> <mi>S</mi> <mi>w</mi> </msup> <mrow> <mo>(</mo> <msup> <mi>z</mi> <mo>&amp;prime;</mo> </msup> <mo>)</mo> </mrow> </mrow> </mfrac> <msup> <mi>dz</mi> <mo>&amp;prime;</mo> </msup> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>2</mn> <mo>)</mo> </mrow> <mo>,</mo> </mrow>
Wherein, z ' is charged particle radiation dosage equivalent depth integration amount, and S (z ') is the stopping power that step (4) obtains, SW (z ') is the stopping power of same depth in water.
2. it is according to claim 1 it is a kind of consider by medium to heteropical charged particle equivalent depth acquisition methods, It is characterized in that:Calculating equivalent electron density information ρ in the step (3)e' and average eguivalent ionization energy Ie' when, introduce pen Gaussian intensity profile item and lattice cell volume in the pencil of forms obtain average weighted electron density and substituted in tradition as weight factor Mandrel density is modified:
<mrow> <msup> <msub> <mi>&amp;rho;</mi> <mi>e</mi> </msub> <mo>&amp;prime;</mo> </msup> <mo>=</mo> <mfrac> <mrow> <mo>&amp;Integral;</mo> <mi>I</mi> <mrow> <mo>(</mo> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo>)</mo> </mrow> <msub> <mi>&amp;rho;</mi> <mi>e</mi> </msub> <mrow> <mo>(</mo> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo>)</mo> </mrow> <mi>d</mi> <mi>x</mi> <mi>d</mi> <mi>y</mi> </mrow> <mrow> <mo>&amp;Integral;</mo> <mi>I</mi> <mrow> <mo>(</mo> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo>)</mo> </mrow> <mi>d</mi> <mi>x</mi> <mi>d</mi> <mi>y</mi> </mrow> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>3</mn> <mo>)</mo> </mrow> <mo>,</mo> </mrow>
Wherein ρe' it is equivalent electron density information, I (x, y) is the intensity distribution of pencil beam, ρeIt is lattice cell electron density information;
<mrow> <msup> <msub> <mi>I</mi> <mi>e</mi> </msub> <mo>&amp;prime;</mo> </msup> <mo>=</mo> <mfrac> <mrow> <mo>&amp;Integral;</mo> <mi>I</mi> <mrow> <mo>(</mo> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo>)</mo> </mrow> <msub> <mi>I</mi> <mi>e</mi> </msub> <mrow> <mo>(</mo> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo>)</mo> </mrow> <mi>d</mi> <mi>x</mi> <mi>d</mi> <mi>y</mi> </mrow> <mrow> <mo>&amp;Integral;</mo> <mi>I</mi> <mrow> <mo>(</mo> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo>)</mo> </mrow> <mi>d</mi> <mi>x</mi> <mi>d</mi> <mi>y</mi> </mrow> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>4</mn> <mo>)</mo> </mrow> <mo>,</mo> </mrow>
Wherein Ie' it is average eguivalent ionization energy, I (x, y) is the intensity distribution of pencil beam, IeIt is lattice cell mean ionization energy information.
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