CN113051797B - Joint cavity effusion positioning method based on intra-cavity multibeam coupling flow calculation - Google Patents
Joint cavity effusion positioning method based on intra-cavity multibeam coupling flow calculation Download PDFInfo
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Abstract
The invention discloses a joint cavity effusion positioning method based on intra-cavity multibeam coupling flow calculation, which comprises the following steps: s1, determining parameters of a flow characteristic model in a cavity; s2, determining a multi-beam liquid state equation; s3, determining a suction flow parameter; s4, determining a coupling flow direction coefficient in the cavity; s5, determining a key area for effusion treatment; the method has high positioning and detecting precision and good application value.
Description
Technical Field
The invention relates to a method for determining medical parameters, in particular to a method for positioning joint cavity effusion based on intra-cavity multibeam coupling flow calculation.
Background
In the prior art, the joint cavity volume liquid is difficult to accurately position, most of the current methods are judged through experience, the accuracy of the methods is small, and a position determination method with high positioning accuracy needs to be developed.
Disclosure of Invention
The invention aims to: the invention aims to provide a joint cavity hydrops positioning method based on intra-cavity multibeam coupling flow calculation, which has high detection precision.
The technical scheme is as follows: the invention provides a joint cavity effusion positioning method based on intra-cavity multibeam coupling flow calculation, which comprises the following steps:
s1, establishing intra-cavity flow characteristic model parameters;
s2, determining a multi-beam liquid state equation;
s3, determining a suction flow parameter;
s4, determining the flow direction coefficient of the intra-cavity coupling;
s5, determining a critical area for effusion treatment.
Further, establishing parameters of the intra-cavity flow characteristic model:
and scanning the area with the effusion lesions of the joint cavity by a CT means to obtain CT image data, and converting the image data into three-dimensional model Prt data. In finite element analysisThe model of the established joint cavity effusion lesion area is imported into the software ANSYS, the model is subjected to gridding division, constraint conditions of the model are set in a pretreatment module, and specific parameters of liquid flow in the joint cavity in a free state are automatically obtained, wherein the method comprises the following steps: flow velocity V of single medium flow i Volume O after cavity expansion i Reflux coefficient H of multiple streams of liquid i . Where i is the number of the stream, i= … … N, N is the total number of streams in the chamber.
Further, determination of a multi-beam liquid state equation:
on the basis of the specific parameters of the liquid flow in the joint cavity solved in the S1, the state discrimination coefficient M corresponding to each beam of liquid i And solving.
Wherein V is i For single medium flow rate, O i Is the volume of the cavity after the expansion, N is the total number of the beams in the cavity, i is the number of the beams, i= … … N, H i For the reflux coefficient of the liquid in a plurality of streams, C (V i ) max Is the maximum of the single media flow rates in all streams.
Discriminating coefficient M according to the state corresponding to each stream number i i Fitting the multi-beam coexistence state equation of the liquid in the cavity in MATLAB software, and obtaining a multi-beam coexistence state equation F (i) of the liquid in the cavity when the fitting accuracy exceeds 97 percent
F(i)＝α 1 i β +α 2 i β-1 +α 3 i β-2 …+α Q i β-Q+1 (2)
Wherein alpha is 1 ，α 2 ......α Q Polynomial fitting prepositive parameters of an intracavity liquid multi-beam coexistence state fitting equation, beta is the frequency value of a fitting term of the intracavity liquid multi-beam coexistence state fitting equation, Q is the specific term number of the fitting term of the intracavity liquid multi-beam coexistence state fitting equation, Q=1, 2,3 … …, i is the number of the fluid streams, and i=1 … …N, N is the total number of intracavity streams.
Further, determination of the suction flow parameters:
on the basis of the liquid model in the joint cavity in the free state analyzed in S1, the first seven-order natural frequency Z corresponding to the free mode in each serial number stream is analyzed in finite element software ANSYS s And the first seven-order natural frequency P corresponding to the forcing mode in the external falling state s (wherein s is the order corresponding to the frequency, s=1, 2 … …), and then substituting the following parameters for each beam i And solving.
Wherein X is i Numbering the corresponding suction flow parameters for each beam of liquid; p (P) si The natural frequency of the forced mode of the s-th order corresponding to the ith beam fluid in the external falling state; z is Z si The natural frequency of the free mode of the s-th order corresponding to the ith beam fluid in the external falling state; s is the order corresponding to the frequency, s=1, 2 … … 7,i is the number of the streams, i= … … N, N is the total number of intra-cavity streams, C (|p) si -Z si |) max For all |P si -Z si Maximum of the values;
is the average value of the natural frequencies of the second order forcing modes corresponding to the ith beam fluid under all external falling states,/->
The average value of the natural frequencies of the s-th free modes corresponding to the i-th beam fluid in all external falling states.
Further, determining the intra-cavity coupling flow direction coefficient:
the suction flow parameter X corresponding to each beam of liquid analyzed in S3 i On the basis of (1), fitting a distribution equation of the absorption parameters in MATLAB software, and obtaining an intracavity coupling flow direction equation B (i) when the fitting accuracy exceeds 97 percent
B(i)＝γ 1 i ε +γ 2 i ε-1 +γ 3 i ε-2 +…+γ D i ε-D+1 (6)
Wherein, gamma 1 ，γ 2 ......γ D The method comprises the steps of fitting a preposed parameter for a polynomial of a liquid multi-beam absorption parameter distribution equation in a cavity, epsilon is a fitting term number of the liquid multi-beam absorption parameter distribution equation in the cavity, D is a specific term number of the fitting term of the liquid multi-beam absorption parameter distribution equation in the cavity, D=1, 2,3 … …, i is the number of the flow beams, i=1 … … N, and N is the total number of the flow beams in the cavity.
Then couple the flow direction coefficient E in the cavity according to the formula (7) i And solving.
Wherein X is i Absorbing flow parameters corresponding to each beam of liquid number E i For intracavity coupling flow coefficients, C (X i ) max Suction flow parameter X corresponding to flow number in all flow streams i B (i) is the intracavity coupling flow direction equation.
Further, determination of critical areas for effusion treatment:
the intra-cavity coupling flow direction coefficient E obtained by analysis in S4 i Based on (a), E i The data is imported into a probability density function of Weibull distribution in MATLAB software, and the first 95% of cut-off position data is taken as a key region needing to be concerned by effusion treatment, so that medical staff is guided to develop relevant treatment from an optimal position.
The beneficial effects are that: according to the invention, factors of multiple beams of fluid coupling flow in the cavity are comprehensively considered, the characteristic model parameters of the fluid in the cavity are obtained through CT scanning, then the state equation of the multiple beams of fluid is analyzed, the suction flow parameters and the flow direction coefficients of the coupling flow in the cavity are determined, and the key areas of the effusion are finally obtained through fitting analysis.
Drawings
FIG. 1 is a flow chart of the present invention.
Detailed Description
As shown in fig. 1, the present embodiment is based on a joint cavity effusion positioning method based on intra-cavity multibeam coupling flow calculation, which includes the following steps:
s1, establishing parameters of a flow characteristic model in a cavity:
and scanning the area with the effusion lesions of the joint cavity by a CT means to obtain CT image data, and converting the image data into three-dimensional model Prt data. Introducing a model of the established joint cavity effusion lesion area into finite element analysis software ANSYS, performing gridding division on the model, setting constraint conditions of the model in a pretreatment module, and solving specific parameters of liquid flow in the joint cavity in a free state, wherein the method comprises the following steps of: flow velocity V of single medium flow i Volume O after cavity expansion i Reflux coefficient H of multiple streams of liquid i . Where i is the number of the stream, i= … … N, N is the total number of streams in the chamber.
S2, determining a multi-beam liquid state equation:
on the basis of the specific parameters of the liquid flow in the joint cavity solved in the S1, the state discrimination coefficient M corresponding to each beam of liquid i And solving.
Wherein V is i For single medium flow rate, O i Is the volume of the cavity after the expansion, N is the total number of the beams in the cavity, i is the number of the beams, i= … … N, H i Reflux system for multiple streams of liquidNumber, C (V) i ) max Is the maximum of the single media flow rates in all streams.
Discriminating coefficient M according to the state corresponding to each stream number i i Fitting the multi-beam coexistence state equation of the liquid in the cavity in MATLAB software, and obtaining a multi-beam coexistence state equation F (i) of the liquid in the cavity when the fitting accuracy exceeds 97 percent
F(i)＝α 1 i β +α 2 i β-1 +α 3 i β-2 …+α Q i β-Q+1 (2)
Wherein alpha is 1 ，α 2 ......α Q The method comprises the steps of fitting a preposed parameter for a polynomial of a multi-beam coexistence state fitting equation of the intracavity liquid, wherein beta is a frequency value of a fitting term of the multi-beam coexistence state fitting equation of the intracavity liquid, Q is a specific term number of the fitting term of the multi-beam coexistence state fitting equation of the intracavity liquid, Q=1, 2,3 … …, i is a number of the fluid streams, i=1 … … N, and N is the total number of the fluid streams in the cavity.
S3, determining the suction flow parameters:
on the basis of the liquid model in the joint cavity in the free state analyzed in S1, the first seven-order natural frequency Z corresponding to the free mode in each serial number stream is analyzed in finite element software ANSYS s And the first seven-order natural frequency P corresponding to the forcing mode in the external falling state s (wherein s is the order corresponding to the frequency, s=1, 2 … …), and then substituting the following parameters for each beam i And solving.
Wherein X is i Numbering the corresponding suction flow parameters for each beam of liquid; p (P) si The natural frequency of the forced mode of the s-th order corresponding to the ith beam fluid in the external falling state; z is Z si The natural frequency of the free mode of the s-th order corresponding to the ith beam fluid in the external falling state; s is the order corresponding to the frequency, s=1, 2 … … 7,i is the number of the flow stream, i=1 … … N, N is the flow stream in the cavityTotal number of C (|P) si -Z si |) max For all |P si -Z si Maximum of the values;
is the average value of the natural frequencies of the second order forcing modes corresponding to the ith beam fluid under all external falling states,/->
The average value of the natural frequencies of the s-th free modes corresponding to the i-th beam fluid in all external falling states.
S4, determining the flow direction coefficient of intra-cavity coupling
The suction flow parameter X corresponding to each beam of liquid analyzed in S3 i On the basis of (1), fitting a distribution equation of the absorption parameters in MATLAB software, and obtaining an intracavity coupling flow direction equation B (i) when the fitting accuracy exceeds 97 percent
B(i)＝γ 1 i ε +γ 2 i ε-1 +γ 3 i ε-2 +…+γ D i ε-D+1 (6)
Wherein, gamma 1 ，γ 2 ......γ D The method comprises the steps of fitting a preposed parameter for a polynomial of a liquid multi-beam absorption parameter distribution equation in a cavity, epsilon is a fitting term number of the liquid multi-beam absorption parameter distribution equation in the cavity, D is a specific term number of the fitting term of the liquid multi-beam absorption parameter distribution equation in the cavity, D=1, 2,3 … …, i is the number of the flow beams, i=1 … … N, and N is the total number of the flow beams in the cavity.
Then couple the flow direction coefficient E in the cavity according to the formula (7) i And solving.
Wherein X is i Absorbing flow parameters corresponding to each beam of liquid number E i For intracavity coupling flow coefficients, C (X i ) max Suction flow parameter X corresponding to flow number in all flow streams i B (i) is the intracavity coupling flow direction equation.
S5, determining a key area for effusion treatment:
the intra-cavity coupling flow direction coefficient E obtained by analysis in S4 i Based on (a), E i The data is imported into a probability density function of Weibull distribution in MATLAB software, and the first 95% of cut-off position data is taken as a key region needing to be concerned by effusion treatment, so that medical staff is guided to develop relevant treatment from an optimal position.
Claims (1)
1. A joint cavity effusion positioning method based on intra-cavity multibeam coupling flow calculation is characterized by comprising the following steps of: the method comprises the following steps:
s1, establishing intra-cavity flow characteristic model parameters;
s2, determining a multi-beam liquid state equation;
s3, determining a suction flow parameter;
s4, determining the flow direction coefficient of the intra-cavity coupling;
s5, determining a critical area for effusion treatment,
the step S1 is established as follows:
the method comprises the steps of scanning an area with the effusion lesion of the joint cavity through a CT means to obtain CT image data, and converting the image data into a three-dimensional model, importing a model of the established effusion lesion area of the joint cavity into a finite element analysis software ANSYS, performing gridding division on the model, setting constraint conditions of the model in a preprocessing module, and automatically obtaining specific parameters of liquid flow in the joint cavity in a free state, wherein the specific parameters comprise: flow velocity complaint of single medium flow and volume O after cavity expansion i Reflux coefficient H of multiple streams of liquid i WhereinI is the number of the stream, i= … … N, N is the total number of streams in the chamber,
the step S2 is established as follows:
on the basis of the specific parameters of the intra-articular fluid flow characteristic model solved in S1, the state discrimination coefficient M corresponding to each beam of liquid i The solution is carried out so that,
wherein V is i For single medium flow rate, O i Is the volume of the cavity after the expansion, N is the total number of the beams in the cavity, i is the number of the beams, i= … … N, H i For the reflux coefficient of the liquid in a plurality of streams, C (V i ) max For the maximum of the single media flow rates in all streams,
discriminating coefficient M according to the state corresponding to each stream number i i Fitting the multi-beam coexistence state equation of the liquid in the cavity in MATLAB software, obtaining a multi-beam coexistence state equation F (i) of the liquid in the cavity when the fitting accuracy exceeds 97%,
F(i)＝α 1 i β +α 2 i β-1 +α 3 i β-2 …+α Q i β-Q+1 (2)
wherein alpha is 1 ，α 2 ……α Q Polynomial fitting pre-parameters of the in-cavity liquid multi-beam coexistence state fitting equation, beta is the number of times of fitting terms of the in-cavity liquid multi-beam coexistence state fitting equation, Q is the specific number of terms of fitting terms of the in-cavity liquid multi-beam coexistence state fitting equation, Q=1, 2,3 … …, i is the number of streams, i=1 … … N, N is the total number of streams in the cavity,
the step S3 is determined as follows:
on the basis of the intra-articular fluid flow characteristic model in the free state analyzed in S1, the first seven-order natural frequency Z corresponding to the free mode in each numbered flow is analyzed in finite element software ANSYS s And the first seven-order fixation corresponding to the forced mode in the external falling stateWith frequency P s Wherein s is the order corresponding to the frequency, s=1, 2 … … 7, and then the following parameters X are substituted for each beam i The solution is carried out so that,
wherein X is i Numbering the corresponding suction flow parameters for each beam of liquid; p (P) si The natural frequency of the forced mode of the s-th order corresponding to the ith beam fluid in the external falling state; z is Z si The natural frequency of the free mode of the s-th order corresponding to the ith beam fluid in the external falling state; s is the order corresponding to the frequency, s=1, 2 … … 7,i is the number of streams, i= … … N, N is the total number of intracavity streams, c (|p) si -Z si |) max For all |P si -Z si Maximum of the values;
is the average value of the natural frequencies of the second order forcing modes corresponding to the ith beam fluid under all external falling states,/->
Is the average value of the natural frequencies of the s-th free modes corresponding to the i-th beam fluid under all external falling states,
the determination process of step S4 is as follows:
the suction flow parameter X corresponding to each beam of liquid analyzed in S3 i On the basis of (1), fitting a distribution equation of the absorption flow parameters in MATLAB softwareWhen the fitting accuracy exceeds 97%, obtaining an intracavity coupling flow direction equation B (i),
B(i)＝γ 1 i ε +γ 2 i ε-1 +γ 3 i ε-2 +...+γ D i ε-D+1 (6)，
wherein, gamma 1 ，γ 2 ……γ D Fitting a preposed parameter for a polynomial of a fluid multi-beam suction parameter distribution equation in a cavity, epsilon being a fitting term number of the fluid multi-beam suction parameter distribution equation in the cavity, D being a specific term number of the fitting term of the fluid multi-beam suction parameter distribution equation in the cavity, D=1, 2,3 … …, i being the number of the fluid streams, i=1 … … N, N being the total number of fluid streams in the cavity,
then couple the flow direction coefficient E in the cavity according to the formula (7) i The solution is carried out so that,
wherein X is i Absorbing flow parameters corresponding to each beam of liquid number E i For intracavity coupling flow coefficients, C (X i ) max Suction flow parameter X corresponding to flow number in all flow streams i B (i) is the intracavity coupling flow direction equation,
the step S5 determination procedure is as follows:
the intra-cavity coupling flow direction coefficient E obtained by analysis in s4 i Based on (a), E i The data are imported into a probability density function of Weibull distribution in MATLAB software, and the first 95% of cut-off position data are taken as key areas of effusion treatment.
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