CN103901265A - Measuring method for microwave ablation antenna pointed end power - Google Patents

Measuring method for microwave ablation antenna pointed end power Download PDF

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CN103901265A
CN103901265A CN201410144166.0A CN201410144166A CN103901265A CN 103901265 A CN103901265 A CN 103901265A CN 201410144166 A CN201410144166 A CN 201410144166A CN 103901265 A CN103901265 A CN 103901265A
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power
point
temperature
measuring temperature
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CN103901265B (en
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南群
聂晓慧
刘有军
翟飞
郭雪梅
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Beijing University of Technology
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Abstract

The invention relates to a measuring method for microwave ablation antenna pointed end power. Based on a physical platform formed by a microwave generator, a temperature measurement needle, an operating platform, a data acquisition instrument and a computer, the method includes the steps of setting a temperature measurement point distribution area, opening the microwave generator, obtaining temperature values of all temperature measurement points within n seconds before heating, solving the reciprocal of the temperature on each temperature measurement point to time, determining a cylindrical half shaft section, calculating the power value Qr of each temperature measurement point on the unit volume in the cylindrical half shaft section, and integrating the power values of the temperature measurement points on the unit volumes in a microwave generator effective temperature field to obtain the microwave ablation antenna pointed end power, wherein the microwave generator effective temperature field refers to a cylinder formed in the mode that the cylindrical half shaft section winds an ablation antenna, any Qr passing a half section of a center shaft is the same as the Qr of a corresponding point on the cylindrical half shaft section in the microwave generator effective temperature field, and the microwave ablation antenna pointed end power is full net power eliminating loss power in output power.

Description

The measuring method of microwave ablation antenna pointed end power
Technical field
The present invention relates to the measuring method field of medical supplies, particularly the measuring method of microwave ablation antenna pointed end power.
Background technology
In current biomedicine treatment, heating ablation art has become effective treatment means indispensable in clinical practice, particularly, for the treatment of liver neoplasm, more has significant curative effect.
The Wicresoft of ablation, the advantage such as quick, effective are the main causes that causes widespread use in clinical practice, and too rely on clinician's experience for fear of technique, and the quantitative reference of scientific and standard is to formulate the indispensable committed step of surgery planning.We,, by a large amount of in vitro and zooperies, have strengthened quantitative criterion, and have had PRELIMINARY RESULTS at present, and clinical practice has been played to certain effect.But find in late time data processing and analytic process, under equivalent environment, identical device and the same terms, same output power can produce the ablation areas area varying in size, infer thus under identical output power condition, power attenuation difference, cause being really applied to structural power difference, thereby produce the different phenomenon of ablation areas area.If the quantitative criterion in always using these data as clinical practice, can produce melt not thorough, or damage normal structure harm, cause error or accident medically.We propose to measure the method for microwave ablation antenna pointed end power thus, reduce Medical error and harm, for surgery planning provides data more accurately.
Summary of the invention
The object of this invention is to provide a kind of measuring method, for improving the quantitative accuracy of ablation, for surgery planning provides data more accurately.
The present invention proposes taking microwave ablation antenna pointed end power as reference quantity, measures its performance number, again quantitative, authority data standard.Microwave ablation antenna pointed end power refers to the complete net power of the loss power of removing in output power, and wherein loss power comprises the loss power of transmission line and the loss power of antenna itself.In measuring method, we have utilized the physical platform being made up of microwave generator, thermometric needle, operating platform, data collecting instrument and computing machine, and then obtain the temperature value on the interior all points for measuring temperature front n of heating second, then solve the performance number Q in each point for measuring temperature unit volume according to formula r, because the performance number in this unit volume is discrete point, it is carried out to Integration Solving, finally obtain microwave ablation antenna pointed end power.
This invents soluble explanation equivalent environment, identical device and under the same terms, produces the different problems that melt result.Considering on the basis of power dissipation concerns thus, propose the problem of the loss power of microwave ablation antenna own, and propose thus the concept of microwave ablation antenna pointed end power, propose the method for its measurement, thereby improve the quantitative accuracy of ablation, there is the reference frame of certain science.
Microwave ablation antenna pointed end power described in the present invention is really to put on structural authentic and valid power, remove the complete net power of the loss power in output power, wherein loss power comprises the loss of transmission line and the loss power of microwave ablation antenna self that connect output terminal and microwave ablation antenna, and remaining power is referred to as microwave ablation antenna pointed end power.
Concrete technical scheme is as follows:
The measuring method of microwave ablation antenna pointed end power, based on the physical platform being made up of microwave generator, thermometric needle, operating platform, data collecting instrument and computing machine, comprises the following steps:
(1). set point for measuring temperature distributed areas, described point for measuring temperature distributed areas be taking microwave generator melt antenna as rectangular area on one side, in this region, each point for measuring temperature is uniformly distributed by row, column, and a row point for measuring temperature is distributed in and melts on antenna;
(2). open microwave generator, obtain the temperature value on the interior all points for measuring temperature front n of heating second, only think relevant with energy transmitting because heat the variation of temperature in first 10 seconds, can ignore the impact of other factors, therefore n gets 10 conventionally;
(3). by the temperature value obtaining, try to achieve the linear relationship of temperature T to time t on each point for measuring temperature, thereby try to achieve the inverse of temperature to the time on each point for measuring temperature,
Figure BDA0000489543050000021
(4). determine cylinder half shaft section, described cylinder half shaft section refers in point for measuring temperature distributed areas, and on one side for melting antenna, on other three limits, the temperature data of point for measuring temperature and the slope value of time are 0 rectangle just;
Be right cylinder owing to melting antenna, be four sides transmitting in emitted energy, and causing the energy distribution applying is also right cylinder, so microwave generator effective temperature field can be regarded as to an equivalent general power right cylinder.In right cylinder, have the countless cross sections of crossing cylinder axis, the half of dividing equally along cylinder axis, is cylinder half shaft section, and in microwave generator effective temperature field, any one is through the Q on the half section of central shaft rq with corresponding point on cylinder half shaft section rall identical.Equivalence general power right cylinder can be regarded cylinder half shaft section as around the right cylinder that melts antenna formation, therefore can obtain equivalent general power right cylinder by the border of determining cylinder half shaft section, then can obtain microwave ablation antenna pointed end power by integration within the scope of equivalent general power right cylinder.
In the time of the temperature of measuring on one and half shaft sections, determine effective range, otherwise cannot determine the energy distribution border of melting antenna, concrete grammar is, one need start to measure from melting the place of antenna apart from antenna thermometric needle the most nearby for requiring, can not there is distance with antenna, so both can ensure comprehensive authenticity of data, also ensure effective accuracy that the later stage calculates.The 2nd, the thermometric needle on other three limits of guarantee cylinder half shaft section is just in optimum position, and the singularity of this position is that temperature data and the slope value of time that it collects are 0 just,
Figure BDA0000489543050000022
only choose temperature and to the inverse of time be not 0 point for measuring temperature, remaining point for measuring temperature is thought Null Spot, does not need to be analyzed.After border is determined, just obtain melting the cylindrical concrete scope of equivalent general power that antenna produces, next calculated the performance number Q in each point for measuring temperature unit volume according to formula r, then in the cylindrical concrete scope of equivalent general power to Q rintegration, can obtain microwave ablation antenna pointed end power.
(5). calculate the performance number Q in each point for measuring temperature unit volume in cylinder half shaft section r, computing formula is as follows:
Figure BDA0000489543050000031
Wherein ρ is tested tissue density, and C is tested tissue specific heat;
Performance number Q rcomputing formula be that Pennes equation abbreviation obtains according to the biological heat transfer equation of classics, Pennes equation is as shown in equation (1):
ρc ∂ T ∂ t = ▿ · K ▿ T + W b C b ( T a - T ) Q m + Q r - - - ( 1 )
In formula, ρ is tested tissue density (kg/m 3), C is tested tissue specific heat (J/ (kg DEG C)), K is tested tissue temperature conductivity (J/ (ms DEG C)), T be tested tissue temperature (DEG C), t is time (s), C bblood specific heat (J/ (kg DEG C)), W bblood perfusion rate (kg/ (m 3s)), T afor enter heating zone blood heat (DEG C), Q mrepresent the metabolic heat production (J/ (m of biological tissue 3s)), Q rrepresent external heat source heating load.
Known according to the feature of thermotherapy ablation, duration in energy transmitting is in 10s, only think the variation that just causes temperature that applies of emitted energy, and the thermal diffusion between tissue can be considered minimum to the impact of temperature variation, and hot conduction and convection just can affect to some extent Temperature Distribution after 10s, therefore in the front 10s of energy transmitting, can ignore the impact of hot conduction and convection, only consider that energy launches the impact of this unique influence factor on tissue, heat conduction can be considered zero (▽ K ▽ T ≈ 0).Meanwhile, the present invention carries out based on imitative organizer mould, there is no metabolism and hemoperfusion in biological heat heat transfer equation, thus in equation (1) Q mand W bbeing zero, therefore based on above-mentioned theory, can be equation (2) by equation (1) abbreviation:
ρc dT dt = Q r - - - ( 2 )
Wherein ρ and C are all known;
(6). in microwave generator effective temperature field to obtaining the performance number Q in each point for measuring temperature unit volume in step 5 rintegration, obtains microwave ablation antenna pointed end power, and described microwave generator effective temperature field refers to that cylinder half shaft section is around the right cylinder that melts antenna formation, wherein the Q on any one process half section of central shaft in microwave generator effective temperature field rq with corresponding point on cylinder half shaft section rall identical, described microwave ablation antenna pointed end power is the complete net power of removing the loss power in output power.
Known according to equation (2), ρ and C are all known, exist
Figure BDA0000489543050000034
value known case under can solve and calculate Q rvalue, wherein
Figure BDA0000489543050000035
the size of value is to heat variation that is the slope value of temperature rise curve in initial 10 seconds.Gather and process energy and launch the temperature value information in first 10 seconds, known according to equation (1), Q rthe heat providing for external heat source.But solve Q in the variation according to temperature rin the situation of value, Q rbe the performance number in the unit volume of each point for measuring temperature, instead of the performance number of microwave ablation antenna pointed end.The data of finishing temperature of the present invention are the temperature values of each point for measuring temperature, measured, and collect according to data collecting instrument by thermocouple temperature measurement pin, are therefore solving in the problem of microwave ablation antenna pointed end performance number, need to utilize the principle of integration to carry out.
Integration method described in step 6 is as follows:
(1). in cylinder half shaft section, each row point for measuring temperature is equivalent to a row power points, calculates the row power of all row power points, wherein row power equals the performance number Q in each point for measuring temperature unit volume rdiscrete integration in permutation;
(2). microwave generator effective temperature field is equivalent to the equivalent circumference of multiple different radiis, it is the center of circle that described equivalent circumference refers to melt antenna, the row power points circle obtaining that rounds; The equivalent circumference of multiple different radiis is equivalent to the multiple energy points that are positioned in a line, calculates the equivalent circumference power of each energy point, wherein equivalent circumference power equals the row power of the row power points that equivalent circumference is corresponding and the product of this equivalence circumference circle;
(3). in energy point direction, the equivalent circumference power of all energy points is carried out to discrete integration, obtain microwave ablation antenna pointed end power.
Beneficial effect
The present invention has proposed the concept of microwave ablation antenna pointed end power first, and a kind of method of measuring microwave ablation antenna pointed end power disclosed, the data that obtain according to the present invention are more scientific, more reasonable, can reduce because of the quantitative criterion error that science does not produce, can be clinical practice service better.
Brief description of the drawings
Fig. 1 (a) is Q before interpolation rdistribution plan spatially,
Fig. 1 (b) is Q after interpolation rdistribution plan spatially,
Fig. 2 (a) is discrete Q rintegration schematic diagram on column direction,
Fig. 2 (b) is Q requivalent circulation integral schematic diagram after column direction integration,
Fig. 2 (c) is the integration schematic diagram in the direction of being expert at after equivalent circulation integral.
Wherein, 1., equivalent general power place right cylinder, 2., cylinder half shaft section.
Embodiment
The present embodiment is to be placed on enough in large imitative organizer mould to carry out microwave ablation experiment, and what the present invention adopted is axisymmetric microwave antenna, does like this and can ensure that space temperature field is poised for battle along microwave antenna axle.
This measuring process provides ablation energy based on microwave generator, thereby is delivered on microwave ablation antenna by transmission line, and puts in tissue.The microwave generator that this measurement is selected is the microwave generator that adopts the MTC-3 type of Nanjing Qinghai Microwave Electronics Inst.'s production, the producible microwave of this microwave generator is 2450 ± 50MHz, the power-adjustable of output is 0-100w, antenna is to adopt gap transmitting, slit width 1.5mm, apart from front end 13mm.This microwave system is furnished with low-loss coaxial cable transmission line, is connected with hard microwave radiating antenna.The surface of microwave antenna (diameter is 1.9mm, long 150mm) is with coating, is used for preventing itself and tissue adhesion.
What in experimentation, adopt is the variation of thermometric needle collecting temperature, and experimental subjects is put into operating platform.Operating platform is made up of upper and lower two-layer flat board, and upper and lower distance is about 2cm, and has abundant jack on upper and lower two-layer leveling board, and the distance that each jack differs is 0.5cm, and these jacks are used for fixing thermometric needle.The inserted mode of thermometric needle is vertically to insert in tissue by jack, and makes thermometric needle and microwave ablation antenna in same level, and wherein microwave ablation antenna is in horizontal loading test object, with thermometric needle in plumbness.
For collecting temperature, we have used data acquisition instrument, and this instrument is designed and produced by Agilent company (Agilent), and model is 34972A.Agilent34972A has 6.5 (22 bit) resolution, 0.0044% basic DC voltage precision and extremely low reading noise, up to the sweep speed of 250 passage/seconds, can measure the direct current and the alternating voltage that are provided by thermopair, thermal resistance and thermistor.Compare with Agilent34970A before, this instrument is many two connectivity ports, are respectively network interface and usb interface.The interpolation of network interface is more conducive to transmission and the connection of data, more quick in collection and transmission.Using in Agilent Bench Link Data Logger software process, by data collecting instrument, i.e. Agilent34972A, highly effective gathering data, and Real-Time Monitoring and analysis data, the later stage can derived data file, facilitates the analyzing and processing in later stage.Agilent34972A contains inside 3 module slots and 8 switches and control module, and each draw-in groove can be put into a data collecting card, and data collecting card is connected with thermometric needle by wire.The data collecting card using in this experiment is 34901A, and applicable to the General Multiplex converter of general scanning, it combines high density, sweep velocity multi-functional and 60 passage/seconds, can adapt to diversified data acquisition and apply.
Because this tests the temperature data change information that only needs to heat front 10s, therefore can, after heating one minute, can close energy transmitter, stop experiment, experiment can complete.After data acquisition completes, the temperature variation that can check each point for measuring temperature from the temperature variation file of deriving, choose the data of front 10s simultaneously and carry out rough handling and analysis, along with the increase of heat time, the temperature collecting also can raise gradually, within the scope of 1-10s, can form the linear relationship of a time and temperature, and this is carried out to linear fit, can obtain thus heating the slope value of front 10s
Figure BDA0000489543050000051
value.The slope value now obtaining is the slope value of each point for measuring temperature, is discrete distribution, and calculates according to above-mentioned equation (2) again, can obtain the performance number in the unit volume of each point for measuring temperature, and wherein unit is W/cm 3.By discrete point integration, can obtain the value of power on whole volume, be the power that microwave ablation antenna transmission applies.
So we intend specifically showing our algorithm by once concrete experiment and data handling procedure.
First, derive the temperature information in 10 seconds in heating of each point for measuring temperature by Agilent data collecting instrument.According to these information, the temperature of each point for measuring temperature is carried out to linear fit, thereby obtain the temperature of each point for measuring temperature along with the slope value of time variation
Figure BDA0000489543050000061
can obtain form 1 below.The position of laterally layouting of 0 of the first row, 1,2,3,4,5 expression points for measuring temperature in form 1, unit is cm, wherein 0cm representative is the insertion position of microwave ablation antenna; The position that numeric representation in the first row of the leftmost side is longitudinally layouted, unit is cm, wherein coordinate is that (0,0) point is the most advanced position of antenna.
Our object is the Q of each point that this cylinder half shaft section will be recorded rin whole cylindrical space, carry out integration, finally obtain equivalent general power P.In order to reach data object accurately, we can be more intensive in arranging point for measuring temperature, also can be more comprehensively.Therefore the temperature spot of measuring is to start to arrange from microwave ablation antenna, and the temperature information that the temperature of measuring also comprises microwave ablation antenna, does like this and can more meet true experiment, has also ensured the accuracy of data simultaneously.
Figure BDA0000489543050000062
The slope value that the temperature of the each point for measuring temperature of table 1 changed along with the time
Again according to above-mentioned equation (2) thereby obtain the Q of corresponding each point for measuring temperature r, as shown in table 2 below, its unit is W/cm 3
Figure BDA0000489543050000071
The Q of the each point for measuring temperature of table 2 r
In experiment, the temperature variation of collection is the variation of each point for measuring temperature temperature, can regard discrete point as, but this discrete point is the performance number obtaining under unit volume, is therefore split as twice for the integration of discrete point: the first step is for importing Q rdistribution, the row interpolation of going forward side by side; Second step is Q on whole space circle cylinder rcarried out triple discrete integration, the result finally obtaining is the performance number under whole volume, is namely applied to structural antenna pointed end performance number.
What we adopted is the mode that discrete point integration obtains the equivalent power of the total space, so the density degree of discrete point has just directly affected the accuracy of integral result, therefore in experiment, arranged a large amount of and densely distributed thermometric needle, the spacing of every thermometric needle is very little is in order to make increment infinitely small, processes more exactly and analyze data.In addition can be by importing Q rdistribution, the row interpolation of going forward side by side, obtains new finer and closely woven Q rdistribution, the object of doing is like this to obtain the result of discrete integration more accurately, the main code of realizing this part is as follows:
[a b c]=uigetfile (' * .csv', ' importing thermometric needle arrangement mode file ');
if?c~=0
Filename_pos=sprintf('%s%s',b,a);
POS_matrix=xlsread(Filename_pos);
[Pos_matrix_row,Pos_matrix_col]=size(POS_matrix);
POS=POS_matrix(2:Pos_matrix_row,2:Pos_matrix_col);
X_big=POS_matrix(1,2:Pos_matrix_col);
Y_big=POS_matrix(2:Pos_matrix_row,1);
X_big_left=POS_matrix(1,2);
X_big_right=POS_matrix(1,Pos_matrix_col);
Y_big_up=POS_matrix(2,1);
Y_big_down=POS_matrix(Pos_matrix_row,1);
[X,Y]=meshgrid(X_big,Y_big);
X_deta=0.1;
Y_deta=0.1;
XI_a=[X_big_left:X_deta:X_big_right];
YI_a=[Y_big_up:Y_deta:Y_big_down];
[XI,YI]=meshgrid(XI_a,YI_a);
ANS=interp2(X,Y,POS,XI,YI,'cubic');
Through before and after interpolation, Q rdistribution spatially has some and changes, and specifically can from Fig. 1, see, wherein Fig. 1 (a) is before interpolation, and Fig. 1 (b) is after interpolation.
Q after obtaining difference rthe situation of Distribution Value under, we on whole space circle cylinder to Q rcarry out triple discrete integration, thereby obtained equivalent general power, the namely most advanced and sophisticated performance number of microwave ablation antenna, the prerequisite of this algorithm is the Q of the corresponding point of any one cylinder semiaxis cutting plane of hypothesis space rnumerical value all this half shaft section measured with us is identical, due to the present invention's employing is axisymmetric microwave antenna, and be to be placed on enough in large imitative organizer mould to carry out microwave ablation experiment, do like this and can ensure that space temperature field is along microwave antenna rotational symmetry, therefore hypothesis is rational.Specific algorithm is as follows:
[ANS_row,ANS_col]=size(ANS);
ETP_temp=0;
fori=1:ANS_col
a_line=0;
for?j=1:ANS_row
a_line=a_line+ANS(j,i);
end
a_line_micbody=a_line*0.1;%μ×*,β
a_circle=2*pi*XI(1,i)*a_line_micbody;
circle_micbody=a_circle*0.1;%μ×*,β
ETP_temp=ETP_temp+circle_micbody;
end
ETP=ETP_temp
After verify hypothesis rationally, we carry out integration to whole discrete data successively.
Fig. 2 (a)-(c) shown the process of whole discrete integration, in figure, the direction of arrow is our integration direction, and in Fig. 2 (a), we are the discrete Q to each row in cylinder half shaft section rvalue is carried out integration, the numerical value of each point be multiplied by that length that each point accounts for infinitesimal adds again and.When actual computation, row power equals the performance number Q in each point for measuring temperature unit volume in permutation radduction with the product of adjacent point for measuring temperature spacing; We carry out such discrete integration to each row, thereby obtain the disk as shown in Fig. 2 (b), and that the point in plane represents is the respective column Q of institute rthe total value that integration obtains, i.e. the row power of all row power points in unit area.Then we carry out circumference calculating to each total value, and to calculate to melt antenna be round dot, distance taking the point in Fig. 2 (b) to the center of circle is the girth of the circle of radius, then this girth again with the corresponding row of this some Q shown in Fig. 2 (b) rthe total value that integration obtains multiplies each other, and obtains the total value of every layer of circumference.This total value is the point in Fig. 2 (c).Then these values in Fig. 2 (c) are proceeded to discrete integration, be infinitesimal length that the value of each point is multiplied by each some representative add again and, finally obtain equivalent power, the namely most advanced and sophisticated performance number of microwave ablation antenna, when actual computation, the product of distance between the equivalent circumference power of each energy point and this energy point and adjacent energy point, then all energy points being added up to sue for peace is equivalent power.
This whole algorithm part realizes by matlab, and this is only for example part of an experiment, and this algorithm is not limited to matlab program, also can be applicable to carry out mathematical computations in other software.
The equivalent power that finally we can be calculated under 60w power input is 46.3407w, so the efficiency of this system is 77.24%.

Claims (3)

1. the measuring method of microwave ablation antenna pointed end power, based on the physical platform being made up of microwave generator, thermometric needle, operating platform, data collecting instrument and computing machine, is characterized in that comprising the following steps:
(1). set point for measuring temperature distributed areas, described point for measuring temperature distributed areas be taking microwave generator melt antenna as rectangular area on one side, in this region, each point for measuring temperature is uniformly distributed by row, column, and a row point for measuring temperature is distributed in and melts on antenna;
(2). open microwave generator, obtain the temperature value on the interior all points for measuring temperature front n of heating second, n is less than or equal to 10;
(3). by the temperature value obtaining, try to achieve the linear relationship of temperature T to time t on each point for measuring temperature, thereby try to achieve the inverse of temperature to the time on each point for measuring temperature,
Figure FDA0000489543040000011
(4). determine cylinder half shaft section, described cylinder half shaft section refers in point for measuring temperature distributed areas, and on one side for melting antenna, on other three limits, the temperature data of point for measuring temperature and the slope value of time are 0 rectangle just;
(5). calculate the performance number Q in each point for measuring temperature unit volume in cylinder half shaft section r;
(6). in microwave generator effective temperature field to obtaining the performance number Q in each point for measuring temperature unit volume in step 5 rintegration, obtains microwave ablation antenna pointed end power, and described microwave generator effective temperature field refers to that cylinder half shaft section is around the right cylinder that melts antenna formation, wherein the Q on any one process half section of central shaft in microwave generator effective temperature field rq with corresponding point on cylinder half shaft section rall identical, described microwave ablation antenna pointed end power is the complete net power of removing the loss power in output power.
2. the measuring method of microwave ablation antenna pointed end power according to claim 1, is characterized in that: the integration method described in step 6 is as follows:
(1). in cylinder half shaft section, each row point for measuring temperature is equivalent to a row power points, calculates the row power in unit area of all row power points, wherein the row power in unit area equals the performance number Q in each point for measuring temperature unit volume rdiscrete integration in permutation;
(2). microwave generator effective temperature field is equivalent to the equivalent circumference of multiple different radiis, it is the center of circle that described equivalent circumference refers to melt antenna, the row power points circle obtaining that rounds; The equivalent circumference of multiple different radiis is equivalent to the multiple energy points that are positioned in a line, calculates the equivalent circumference power of each energy point, wherein equivalent circumference power equals the row power of the row power points that equivalent circumference is corresponding and the product of this equivalence circumference circle;
(3). in energy point direction, the equivalent circumference power of all energy points is carried out to discrete integration, obtain microwave ablation antenna pointed end power.
3. the measuring method of microwave ablation antenna pointed end power according to claim 1, is characterized in that: the performance number Q in each point for measuring temperature unit volume rcomputing formula as follows:
Figure FDA0000489543040000021
wherein ρ is tested tissue density, and C is tested tissue specific heat.
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