CN102008351A - Acquisition method for radio frequency ablation instrument temperature field distribution - Google Patents
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Abstract
The invention discloses an acquisition method for radio frequency ablation instrument temperature field distribution, belonging to the technical field of biological tissue heat conduction. In the method, the classical biological tissue heat conduction equation (Pennes equation) is optimized to a more concrete and higher-usability temperature field distribution model. By adopting the temperature field distribution model, the transient temperature in any place of the biological tissue during the ablation process can be conveniently, quickly and accurately obtained; and the transient temperature distribution has significant meaning on calculating the size of the valid lesion during the biological tissue ablation process.
Description
Technical field:
The present invention relates to a kind of acquisition methods that distributes at the temperature field of radio-frequency ablation instrument of optimization, especially utilize fitting formula to draw the method that the temperature field distributes in the radio-frequency ablation biological tissue process.
Background technology:
Radio-frequency ablation is to utilize the hot condenser of radio frequency that tissue is damaged, its principle is to produce high frequency electric by radio-frequency signal generator, electric current arrives by lead and damages electrode, and link to each other with radio-frequency signal generator by the reference electrode that invests body surface, form the radio-frequency current loop, produce big electric current at the tip of radio-frequency electrode, thereby being heated up, tissue destroys neurocyte and fiber, simultaneously, the electrode of organizing and make conversely that is heated up heats up, the temperature of electrode tip exposed end can detect by radio-frequency signal generator, with this temperature as near tissue.Damage the size and thickness, the length of implanting the damage electrode of kitchen range, the organizational parameter of damaging the electrode effect is relevant.
The radio system that the present invention relates to is to originate from the neural radiofrequency generator of Leksell that Sweden's medical courses in general reach company, is applied to the holonomic system of nerve stimulation, stereotaxis damage, pain therapy and bipolar coagulation.Leksell can carry out continuous monitoring to various parameters in the therapeutic process, shows that Current Temperatures changes and rate of change.Undergo surgery when damaging experiment in the treatment parkinson disease, working electrode is inserted target spot, neutral electrode is affixed on body surface, configures the radio frequency temperature and radio frequency was damaged after the persistent period.Neural radiofrequency generator continues to send altofrequency radio electric current, radio-frequency current produces the electric field of an altofrequency alternate between neutral electrode and working electrode, because working electrode end electric lines of force high concentration, density are big, the alternate electric field is enough to make hydrone along with the electric field of alternate produces the higher-order of oscillation and frictional heat, thereby this portion of tissue temperature is raise; Allowing cell produce the hot difference of coagulating, lose biological activity or the variation of generation physicochemical properties at different temperature values changes.
Can be during radio-frequency ablation in the inner temperature field that forms of the biological tissue of treatment target area with gradient, be characterized in, the temperature that the near more position of distance damage electrode obtains is high more, electrode position temperature far away more is low more apart from damaging, and distance damage electrode unlimited distance temperature is biological tissue's normal body temperature.For example, when damaging cerebral tissue, then the body temperature of distance damage electrode unlimited distance temperature behaviour is 37 ℃.What the temperature field distributed obtains, and is the successful key of radio-frequency ablation operation.
At present, main utilization is classical biological heat diffusivity equation---Pennes equation in the distribution of the temperature field of radio-frequency ablation instrument is obtained, because the Pennes equation has certain limitation in actual applications, for example amount of calculation is bigger, in embedded system, be difficult to real-time implementation etc., so can't obtain the problem of the inner transient temperature field distribution of biological tissue quickly and easily in real time.Therefore, with the temperature field distributed model that the Pennes equation is optimized for more specifically, availability is higher, by the convenient, fast and accurate transient temperature that draws place, the arbitrary locus of biological tissue in the damage process of this temperature field distributed model, this transient temperature distributes and has important directive significance for calculating radio-frequency ablation instrument effective size of damaging kitchen range in biological tissue's damage process.
Summary of the invention
Technical problem to be solved of the present invention is at the problem that can't obtain the inner transient temperature field distribution of biological tissue in the present radio-frequency ablation instrument practical work process quickly and easily in real time, proposes the acquisition methods that a kind of radio-frequency ablation instrument treatment temperature field distributes.
The present invention adopts following technical scheme for solving the problems of the technologies described above:
The acquisition methods that a kind of radio-frequency ablation instrument treatment temperature field distributes may further comprise the steps:
In the formula
Be the time that continues to damage;
Wherein, coefficient
,
,
Be respectively about damaging central temperature
Function;
,
,
With the damage central temperature
Functional relationship draw by above-mentioned match software, relational expression is respectively as follows:
Step 4 is updated to relational expression (2) in the relational expression (1), obtains following relational expression:
With formula (5), (6), (7) substitution formula (3), obtain following relational expression respectively:
Obtaining the damage central temperature by formula (8) is
The time, arbitrary time
Following distance is damaged the central point distance
The temperature at place;
Further, the damage persistent period of the acquisition methods of radio-frequency ablation instrument treatment temperature field distribution of the present invention
With the Temperature Distribution field apart from damaging the central point distance
Span as follows:
A,, the temperature of damaging central point damages central temperature when reaching to set
The time, the selected damage persistent period
Should be less than or equal to effective damage persistent period
, and Temperature Distribution field and the distance of damaging central point
Should be less than or equal in the Temperature Distribution field and the maximum distance of damaging central point
, wherein effectively damage the persistent period
, in the Temperature Distribution field with the maximum distance of damaging electrode
Solution formula respectively as follows:
; (11)
B,, the temperature of damaging central point do not reach given damage central temperature when being in ascent stage
The time, the selected damage persistent period
Should be less than or equal to described in the A step and effectively damage the persistent period
, and Temperature Distribution field and the distance of damaging central point
Should be less than or equal in the Temperature Distribution field and the coverage of damaging central point
,
With
Relational expression be:
Further, the organism equation of heat conduction is the Pennes equation described in the step 1 of the acquisition methods of radio-frequency ablation instrument treatment temperature field distribution of the present invention.
Further, match software is 1stOpt match software described in the step 3 of the acquisition methods of radio-frequency ablation instrument treatment temperature field distribution of the present invention.
Further, limited element analysis technique adopts finite element analysis software Femlab described in the step 1 of the acquisition methods of radio-frequency ablation instrument treatment temperature field distribution of the present invention.
The present invention adopts technique scheme to have following beneficial effect:
1, real-time, accuracy is high.The temperature field distribution acquiring method at radio-frequency ablation instrument of a kind of optimization that proposes among the present invention can obtain radio-frequency ablation instrument in real time and damage the transient temperature that object is pointed out arbitrarily
, obtaining in real time for calculating biological tissue of this temperature damages that stove is long-pending to have an important directive significance.
2, workable.The method that the present invention proposes is compared the easier realization in the radio-frequency ablation instrument work process of classical Pennes equation, can be easily uses in system such as embedded.
Description of drawings:
Fig. 1 is phantom of the present invention and damages the central temperature ascending curve.
Eletrode tip was in the damage situation of different time points when Fig. 2 was 70 ℃.
Fig. 3 is the temperature curve that extracts in the emulation.
Fig. 4 is the time dependent curve of temperature.
Fig. 5 is greater than 45 ℃ of temperature curves.
Specific embodiments:
Be described in further detail below in conjunction with the enforcement of accompanying drawing technical scheme:
Table 1
Finite element analysis software Femlab is selected in the emulation of radio-frequency ablation process for use, draws biological tissue's temperature field distribution by setting up geometric model, definition physical parameter, division finite element grid and finding the solution.The present invention utilizes Femlab software that real rat cerebral tissue is simplified and is assumed to be uniform, an infinitely-great spheroid, and the radio-frequency ablation eletrode tip is positioned at ball centre, as accompanying drawing 1(1) shown in, horizontal vertical coordinate unit is m among the figure, color bar unit is Kelvin.Bulb tissue's diameter is 20mm among the figure, and ball centre is positioned at (0,0) to be located, probe tip be positioned at (0.5mm ,-1mm) locate, probe diameter is 1mm, exposed length is 2mm.The ball centre rectangle part is the electrode exposed part, its temperature curve is as accompanying drawing 1(2) shown in, electrode is under the temperature rise of 5 ℃/s, from room temperature undertissue temperature (37 ℃), linearity rises to radio-frequency ablation central temperature (70 ℃), and it is constant to remain on radio-frequency ablation central temperature point then.Classical Pennes equation (4) is adopted in emulation,
In the formula,
T,
ρ,
cWith
kBe respectively temperature, density, specific heat and the pyroconductivity of biological tissue;
W b Be the blood perfusion rate of biological tissue,
C b Specific heat for blood;
T a Be the arterial blood temperature;
q m Metabolic heat production rate for tissue;
q r Be outside heat supply heat flow.Under the hypothesis of relative idealization, this paper has ignored tissue metabolism's heat production rate in research process
q m With outside heat supply heat flow
q r , and to choose rat cerebral tissue's temperature be 37 ℃ of normal body temperatures.
Choose 60 ℃, 65 ℃, 70 ℃, 75 ℃, 80 ℃, 85 ℃, 90 ℃ seven kinds different damage central temperatures respectively and carry out 7 * 4 groups of emulation with 30s, 60s, four kinds of different damage persistent period of 90s, 120s, four kinds of different design sketchs of damaging the persistent period when now being 70 ℃ with the damage central temperature are that example describes, and see accompanying drawing 2.Probe is when heating 30s down for 70 ℃ among Fig. 2 (a), the surrounding tissue temperature field presents a less ellipsoid shape, along with the prolongation of time, enlarging gradually by Fig. 2 (b), (c), (d) three width of cloth figure semielliptical shape that the surrounding tissue temperature field forms of popping one's head in as can be seen.It can be said that brightly under the certain situation of temperature, the volume of damaging kitchen range increases along with the prolongation of time, and this conforms to practical situation.
The temperature curve of transverse diameter direction when 7 curves are 60 ℃, 65 ℃, 70 ℃, 75 ℃, 80 ℃, 85 ℃, 90 ℃ respectively for damaging central temperature in the accompanying drawing 3.Add up different given damage central temperatures
Down, distance damage electrode position is in the temperature field
The temperature at place
, set up following relational expression:
Irreversible change all takes place when cerebral tissue is damaged during the operation of clinical radio-frequency ablation, in addition according to the situation of clinical practice, during radio-frequency ablation temperature all greater than 45 ℃, so mainly to data that the irreversible change group takes place (
〉=45 ℃) analyze.Now choose and damage central temperature when being 60 ℃, one group of data of temperature gradient distribution describe under each time point, and data are as shown in table 2.
In the table 2, damaging central temperature is 60 ℃, has extracted the damage persistent period
Be respectively 30s, 60s, 90s, 120s, distance is damaged the central point distance
Be respectively the temperature data at 0.5mm, 1mm, 1.5mm, 2mm, 2.5mm, 3mm, 3.5mm, 4mm, 4.5mm, 5mm place.
Match software 1stOpt is in nonlinear regression, and it is very extensive that application such as the field of grade is found the solution in curve fitting, non-linear complex engineering model parameter estimation.Utilize this software, can draw under this damage central temperature according to this group temperature data, each point place temperature with
With
Relation such as formula (2).Wherein, coefficient
,
,
Be to damage central temperature
Function.
Step 4 utilizes match software 1stOpt to draw parameter by step 3
,
,
With the damage central temperature
Relation be respectively:
Formula (2) is updated in the formula (1), obtains formula (3):
With formula (5), (6), (7) substitution formula (3), obtain:
Like this, can obtain the damage central temperature is
The time, arbitrary time
Following distance is damaged central point
The temperature of place's point.The present invention has carried out the significance checking in fit procedure, significance level is a critical probability value.It is illustrated in " assumed statistical inspection ", infers with sample data and makes the probability size that refusal " is supposed " mistake when overall.Significance level is more little, and it is more little to make the wrong probability that refusal " supposes ".For formula (8), significance level
=0, therefore above-mentioned equation is set up.
The transmission in vivo of step 5, temperature is dynamic, and under given damage central temperature, the temperature of biological tissue can raise along with the prolongation of damaging the persistent period.Be example now with accompanying drawing 4, given damage central temperature among the figure
Be 70 ℃, the situation of change of the biological curve of biological tissue when four curves are respectively and damage duration and be 30s, 60s, 90s, 120s, transverse axis is the distance (the damage central point is at 0 place, and unit is mm) at biological tissue and center, the longitudinal axis is a temperature.
At among the figure with damage the biological tissue of central point distance for a place, when the damage persistent period was respectively 30s, 60s, 90s, 120s, the tissue temperature at this place was respectively
,
,
,
, and
, analyze as can be known, when the time infinitely increased, temperature can reach balance in this biological tissue's body, and promptly the arbitrfary point temperature tends towards stability in the temperature field, no longer rises.Since in the invention main by research temperature field inner tissue temperature greater than 45 ℃ zone to judge the radio-frequency ablation situation, the data of other temperature provinces are meaningless to the present invention, therefore, mainly in this zone
With
Analyze and illustrate, see accompanying drawing 4.
Formula in the step 4 (8) should divide following two kinds of situation discussion:
A kind of is temperature when not reaching balance,
With
Range specification.Suppose this moment
For damaging the persistent period be
The time, the tissue temperature that makes that the damage central temperature can be transmitted reaches 45 ℃ farthest.For example, when damaging 30s among Fig. 5, be organized in
The place can reach 45 ℃ of critical temperatures, when damaging 120s, is organized in
The place reaches 45 ℃ of critical temperatures.The damage central temperature of this moment
,
With
Between have certain relation,
Along with
Prolongation and increase.If the temperature field reaches stable state and needs the time
, then ought select
<
The time,
Must be in corresponding scope value, differ bigger result otherwise can produce with practical situation.
Through utilizing match software 1stOpt to analyze and statistics, can draw in the dynamic temperature field
,
With
Relational expression be:
Promptly be when damaging central temperature
,
<
The time,
Value can obtain with reference to the derivation of formula (12), choose
Should less than
Another kind is a temperature when reaching balance,
With
Range specification.No matter this moment
How to increase,
Value can infinitely not increase because of its increase yet.Promptly
Can infinitely increase, and
Can only be in limited scope value.From simulation result, for damaging central temperature
=70 ℃, when damaging the persistent period during greater than 120s, the temperature field has reached balance substantially.Therefore, can think ought
=70 ℃,
Data during 〉=120s are nonsignificant data, promptly damage central temperature at one, and the effective time of a maximum should be arranged
Corresponding with it.
Finding the solution
With
Relation before, need know and damage central temperature
Down, temperature can obtain according to simulation result along with the variation relation of time
With
Relational expression be:
Damage central temperature to seven respectively at this
Under the formula differentiate, draw each temperature variations.It is 65 ℃ now to damage central temperature
The pass is that example describes, at distance center distance in the field
Place's point temperature data statistics over time is as follows.
Utilize the form match of match software 1stOpt according to formula (10)
Curve draws
=48,
=-42.Formula after the differentiate is:
Accompanying drawing 6 is that the damage central temperature is 65 ℃, damages temperature variation curve in the process of persistent period from 40s to 150s.In actual applications, consider the operability of instrument, can think when variations in temperature within the 10s during smaller or equal to 1 ℃ the temperature field in a basic balance, therefore need find the solution and work as
The time
Value.For formula (11), obtain
Promptly (perhaps be called effective time when damaging the persistent period
) when being 35.4s, the temperature field reaches balance substantially.Each damages the data statistics of central temperature and effective time:
The pass is:
Claims (5)
1. a radio-frequency ablation instrument is treated the acquisition methods that the temperature field distributes, and it is characterized in that: may further comprise the steps:
Step 1 on organism equation of heat conduction basis, utilizes limited element analysis technique emulation to draw in the radio-frequency ablation process, in given damage central temperature
Be respectively 60 ℃, 65 ℃, 70 ℃, 75 ℃, 80 ℃, 85 ℃, 90 ℃ and damage persistent period
7 * 4 groups of biological tissue temperature fields that are respectively under 30s, 60s, 90s, the 120s distribute;
Step 2, extraction step one described 7 * 4 groups of Temperature Distribution fields are apart from damaging the central point distance
Be respectively the temperature data at 0.5mm, 1mm, 1.5mm, 2mm, 2.5mm, 3mm, 3.5mm, 4mm, 4.5mm, 5mm place, add up different given damage central temperatures
Following Temperature Distribution field and damage central point distance
The temperature at place
, set up following relational expression:
(1)
Step 3 adopts match software, respectively each is damaged central temperature
Damage persistent period when constant
, the Temperature Distribution field with damage the central point distance
With
Substitution relational expression (1) draws following relational expression:
Wherein, coefficient
,
,
Be respectively about damaging central temperature
Function;
,
,
With the damage central temperature
Functional relationship draw by above-mentioned match software, relational expression is respectively as follows:
(5)
Step 4 is updated to relational expression (2) in the relational expression (1), obtains following relational expression:
With formula (5), (6), (7) substitution formula (3), obtain following relational expression respectively:
Obtaining the damage central temperature by formula (8) is
The time, arbitrary time
Following distance is damaged the central point distance
The temperature at place;
Step 5 according to formula (3), is damaged central temperature at difference
, according to damaging the persistent period
With the Temperature Distribution field apart from damaging the central point distance
Span, try to achieve the temperature in pairing temperature field, obtain the distribution in temperature field.
2. the acquisition methods that radio-frequency ablation instrument treatment according to claim 1 temperature field distributes is characterized in that: the described damage persistent period
With the Temperature Distribution field apart from damaging the central point distance
Span as follows:
A,, the temperature of damaging central point damages central temperature when reaching to set
The time, the selected damage persistent period
Should be less than or equal to effective damage persistent period
, and Temperature Distribution field and the distance of damaging central point
Should be less than or equal in the Temperature Distribution field and the maximum distance of damaging central point
, wherein effectively damage the persistent period
, in the Temperature Distribution field with the maximum distance of damaging electrode
Solution formula respectively as follows:
B,, the temperature of damaging central point do not reach given damage central temperature when being in ascent stage
The time, the selected damage persistent period
Should be less than or equal to described in the A step and effectively damage the persistent period
, and Temperature Distribution field and the distance of damaging central point
Should be less than or equal in the Temperature Distribution field and the coverage of damaging central point
,
With
Relational expression be:
?; (9)。
3. the acquisition methods that radio-frequency ablation instrument treatment according to claim 1 temperature field distributes, it is characterized in that: the equation of heat conduction of organism described in the step 1 is the Pennes equation.
4. the acquisition methods that radio-frequency ablation instrument treatment according to claim 1 temperature field distributes, it is characterized in that: the software of match described in the step 3 is 1stOpt match software.
5. the acquisition methods that radio-frequency ablation instrument treatment according to claim 1 temperature field distributes, it is characterized in that: limited element analysis technique described in the step 1 adopts finite element analysis software Femlab.
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CN107049476A (en) * | 2017-04-20 | 2017-08-18 | 北京工业大学 | A kind of voltage source characterizing method that feedback is surveyed based on single needle |
CN107578820A (en) * | 2017-08-21 | 2018-01-12 | 北京工业大学 | A kind of biological properties parameter characterization method based on single needle actual measurement |
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US6706040B2 (en) * | 2001-11-23 | 2004-03-16 | Medlennium Technologies, Inc. | Invasive therapeutic probe |
CN1771882A (en) * | 2005-09-02 | 2006-05-17 | 武汉市昊博科技有限公司 | Method and device for obtaining internal heat source information from the surface temperature distribution of living body |
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Cited By (3)
Publication number | Priority date | Publication date | Assignee | Title |
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CN107049476A (en) * | 2017-04-20 | 2017-08-18 | 北京工业大学 | A kind of voltage source characterizing method that feedback is surveyed based on single needle |
CN107049476B (en) * | 2017-04-20 | 2019-07-26 | 北京工业大学 | A kind of voltage source characterizing method based on single needle actual measurement feedback |
CN107578820A (en) * | 2017-08-21 | 2018-01-12 | 北京工业大学 | A kind of biological properties parameter characterization method based on single needle actual measurement |
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