CN105079911A - Method for establishing mathematical model of dropping speed change law in soft infusion bottle - Google Patents

Abstract

The invention relates to the field of technical research of a soft infusion bottle, and in particular discloses a method for establishing a mathematical model of dropping speed change law in a soft infusion bottle. The method comprises the following steps: I. carrying out a dropping speed measuring experiment by virtue of a medicine liquid dropping speed measuring device; and making records on data of dropping speed and level drawdown height within unit time; and II. implementing data modeling according to data measured by the dropping speed measuring experiment so as to obtain a mathematical model between the dropping speed and the level drawdown height of the soft infusion bottle in the infusion process. The method disclosed by the invention is conducive to research on medicine liquid dropping speed change of the soft infusion bottle in the infusion process, so as to bring about benefits for guiding the design of a more reasonable soft infusion bottle; and the obtained mathematical model is beneficial for guiding the reasonable selection of medicine liquid dropping speed in actual infusion operation so as to avoid discomfort in patients and even harm to personal safety in the case that the medicine liquid dropping speed is too quick or too slow.

Description

A kind of method setting up a fast Changing Pattern mathematical model in soft transfusion bottle

Technical field

The present invention relates to soft transfusion bottle technical field of research, specifically refer to a kind of method setting up a fast Changing Pattern mathematical model in soft transfusion bottle.

Background technology

Specification be the infusion bottle of 250ml as standard infusion bottle, annual requirement is large, is widely used, admittedly the Changing Pattern of infusion bottle infusion process Chinese medicine drop speed just seems particularly important under studying this specification; In actual life, it is too slow that a lot of people thinks that when infusing medicinal liquid drips, and thinks that beating fixed point as early as possible drips, just tune up speed voluntarily; Also somebody thinks that dripping speed too fastly feels ill, and just slows down and drips speed; In fact, doing like this is all danger close, if transfusion speed is too fast, easily increases the weight of heart burden, causes the untoward reaction such as heart failure or pulmonary edema; Certainly, transfusion speed neither be more slow better, needs according to state of an illness adjustment transfusion speed; Should accelerate fluid infusion when rescuing the shock patient of serious dehydration or severe loss of blood, often the liquid entered in human body per hour will reach several thousand milliliters; Treat the patient of some increased intracranial pressure, 20% quiet of mannitol 250ml time more than 30 minutes, should not drip speed and crosses the effect may not having slowly and reduce intracranial pressure; Therefore, research soft transfusion bottle is just particularly important at the Changing Pattern of infusion process Chinese medicine drop speed, facilitates medical personnel to select suitable medicinal liquid to drip speed according to the actual state of an illness.

Summary of the invention

Drip speed change in soft transfusion bottle infusion process to affect by several factors, the height that such as soft transfusion bottle hangs, pipe in line loss and local line loss etc. in the structure of the material of the height of liquid level, soft transfusion bottle, soft transfusion bottle, infusion process in soft transfusion bottle, experimental result shows, when the structure of soft transfusion bottle, material and gas liquid ratio are certain, dripping to medicinal liquid the factor that speed has the greatest impact is needle diameter; For convenience of the research of soft transfusion bottle being dripped in infusion process to fast Changing Pattern, the present invention drips speed measuring device by utilizing a kind of medicinal liquid, carry out experiment measuring, record soft transfusion bottle decline along with liquid level in bottle in infusion process, medicinal liquid drips the numerical value of speed change speed, use numerical analysis software to carry out data analysis again and obtain the fast mathematical model changed of infusion process Chinese medicine drop, be infusion process Chinese medicine drop speed Changing Pattern; The invention provides a kind of soft transfusion bottle being 250ml specification based on volume and carry out how group experiment carries out analyzing the Changing Pattern of the infusion bottle infusion process Chinese medicine drop speed obtained and a kind of method setting up a fast Changing Pattern mathematical model in soft transfusion bottle.

For solving the problem, the invention provides following technical scheme:

Set up a method of dripping fast Changing Pattern mathematical model in soft transfusion bottle, it is characterized in that: comprise the following steps:

Step one, to be dripped speed measuring device by medicinal liquid and carry out dripping a fast experiments of measuring, in record unit time, drip the data of speed and liquid level falling head;

Step 2, carrying out data modeling according to dripping the data that record of fast experiments of measuring, obtaining soft transfusion bottle in infusion process, dripping mathematical model between speed and liquid level falling head.

Further, described step one is the experimental model utilizing numerical analysis method to set up the soft transfusion bottle of 250ml specification, detect the changing value dripping speed and liquid level falling head in the unit interval, the relation between observation Murphy type tube Chinese medicine drop speed and liquid level falling head; Carry out data fitting according to the experimental data that a fast experiments of measuring records, the soft transfusion bottle obtaining 250ml specification drips the matched curve of speed and liquid level falling head in infusion process.

Further, carry out the experiment of N group to the infusion bottle of 250ml specification, removing interference factor affects large numerical value, obtains n ₁group (h _i, v _i) experimental data, to this n ₁group experimental data is averaged, wherein: i=0 ~ n ₁, 4<n ₁<30; h _ibe i-th liquid level falling head; v _ibe _idripping in the infusion bottle under individual liquid level falling head is fast.

Further, soft transfusion bottle medicinal liquid when infusing that described step 2 adopts the method for least square polynomial fit to try to achieve 250ml specification drips each term coefficient of speed and liquid level falling head change curve, and then can obtain the mathematical model of soft transfusion bottle between infusion process Chinese medicine drop speed and liquid level falling head.

Further, the cubic function relational expression of mathematical model that described medicinal liquid drips between speed and liquid level falling head is: f (x)=B ₃× x ³+ B ₂× x ²+ B ₁× x+B ₀, i.e. V=B ₃× h ³+ B ₂× h ²+ B ₁× h+B ₀, wherein: h represents liquid level falling head, V represents that medicinal liquid drips speed; Normal equation group is obtained by least square polynomial fit:

$\left(\begin{array}{ccc}20& {\&Sigma;}_{i=0}^{19}{h}_i{\&Sigma;}_{i=0}^{19}{h}_i^2& {\&Sigma;}_{i=0}^{19}{h}_i^3\\ {\&Sigma;}_{i=0}^{19}{h}_i& {\&Sigma;}_{i=0}^{19}{h}_i^2{\&Sigma;}_{i=0}^{19}{h}_i^3& {\&Sigma;}_{i=0}^{19}{h}_i^4\\ {\&Sigma;}_{i=0}^{19}{h}_i^2& {\&Sigma;}_{i=0}^{19}{h}_i^3{\&Sigma;}_{i=0}^{19}{h}_i^4& {\&Sigma;}_{i=0}^{19}{h}_i^5\\ {\&Sigma;}_{i=0}^{19}{h}_i^3& {\&Sigma;}_{i=0}^{19}{h}_i^4{\&Sigma;}_{i=0}^{19}{h}_i^5& {\&Sigma;}_{i=0}^{19}{h}_i^6\end{array}\right)\left(\begin{array}{c}{b}_0\\ b_1\\ b_2\\ b_3\end{array}\right)=\left(\begin{array}{c}{\&Sigma;}_{i=0}^{19}{v}_i\\ {\&Sigma;}_{i=0}^{19}{h}_i{v}_i\\ {\&Sigma;}_{i=0}^{19}{h}_i^2{v}_i\\ {\&Sigma;}_{i=0}^{19}{h}_i^3{v}_i\end{array}\right);$ Solve this normal equation and can obtain every coefficient B that medicinal liquid drips the cubic function relational expression of the mathematical model between speed and liquid level falling head _0,b ₁, B _2,b ₃.

Further, the method for described least square polynomial fit comprises the steps:

Step one, drawn the figure changed by given data, determine the frequency n of polynomial fitting;

Step 2, list calculate ${\mathrm{\&Sigma;}}_{i=0}^m{x_i}^j,(j=0,1,2,\mathrm{...2}n)$

With ${\mathrm{\&Sigma;}}_{i=0}^m{x_i}^j{y}_i,(j=0,1,2,\mathrm{...}n);$

Step 3, write out normal equation

Obtain a _k(k=0,1,2 ... n);

Step 4, write out polynomial fitting

Further, described medicinal liquid drips speed measuring device and comprises soft bottle body, tube for transfusion and the pressure test device for measuring soft transfusion bottle pressure of the inside of a bottle; Described tube for transfusion is provided with Murphy type tube.

Further, the described pressure test device U-tube that comprises needle tubing, be connected with needle tubing; One end of described U-tube is inserted in soft bottle body by needle tubing, and the other end of U-shaped pipe is communicated with air; Be filled with pure water in described U-tube, soft bottle body inner liquid medicine enters U-tube by needle tubing, is provided with air barrier between U-tube inner liquid medicine and water; Described U-tube is provided with graduation mark.

Further, the graduation mark in described U-tube is provided with 0 scale, positive scale area and negative scale area; During described U-tube dress water, horizontal plane overlaps with 0 scale.

Beneficial effect: a kind of method setting up a fast Changing Pattern mathematical model in soft transfusion bottle of the present invention, drip speed measuring device by simple medicinal liquid carry out data acquisition and carry out numerical analysis by numerical analysis software, and then set up a fast Changing Pattern mathematical model in soft transfusion bottle, be conducive to the research of soft transfusion bottle in the change of infusion process Chinese medicine drop speed, and then be conducive to design more reasonably soft transfusion bottle, the mathematical model of gained helps the choose reasonable instructing and in actual transfusion operation, medicinal liquid is dripped to speed, medicinal liquid is avoided to drip speed too fast or cause patient body discomfort even to endanger personal safety excessively slowly.

Accompanying drawing explanation

Fig. 1 is the structural representation that medicinal liquid in the present invention drips speed measuring device;

Fig. 2 is the enlarged diagram at A place in Fig. 1;

Fig. 3 is the enlarged diagram at B place in Fig. 1;

Description of reference numerals: soft bottle body 1, tube for transfusion 2, Murphy type tube 3, U-tube 4, needle tubing 5.

Detailed description of the invention

Below in conjunction with Figure of description and embodiment, the specific embodiment of the present invention is described in further detail:

Set up a method of dripping fast Changing Pattern mathematical model in soft transfusion bottle, it is characterized in that: comprise the following steps:

Step one, to be dripped speed measuring device by medicinal liquid and carry out dripping a fast experiments of measuring, in record unit time, drip the data of speed and liquid level falling head;

Step 2, carrying out data modeling according to dripping the data that record of fast experiments of measuring, obtaining soft transfusion bottle in infusion process, dripping mathematical model between speed and liquid level falling head.

Described step one is the experimental model utilizing numerical analysis method to set up the soft transfusion bottle of 250ml specification, detects the changing value dripping speed and liquid level falling head in the unit interval, the relation between observation Murphy type tube Chinese medicine drop speed and liquid level falling head; Carry out data fitting according to the experimental data that a fast experiments of measuring records, the soft transfusion bottle obtaining 250ml specification drips the matched curve of speed and liquid level falling head in infusion process.

Carry out the experiment of N group to the infusion bottle of 250ml specification, removing interference factor affects large numerical value, obtains n ₁group (h _i, v _i) experimental data, to this n ₁group experimental data is averaged, wherein: i=0 ~ n ₁, 4<n ₁<30; h _ibe i-th liquid level falling head; v _ibe _idripping in the infusion bottle under individual liquid level falling head is fast.

Soft transfusion bottle medicinal liquid when infusing that described step 2 adopts the method for least square polynomial fit to try to achieve 250ml specification drips each term coefficient of speed and liquid level falling head change curve, and then can obtain the mathematical model of soft transfusion bottle between infusion process Chinese medicine drop speed and liquid level falling head.

The cubic function relational expression of the mathematical model that described medicinal liquid drips between speed and liquid level falling head is: f (x)=B ₃× x ³+ B ₂× x ²+ B ₁× x+B ₀, i.e. V=B ₃× h ³+ B ₂× h ²+ B ₁× h+B ₀, wherein: h represents liquid level falling head, V represents that medicinal liquid drips speed; Normal equation group is obtained by least square polynomial fit:

$\left(\begin{array}{ccc}20& {\&Sigma;}_{i=0}^{19}{h}_i{\&Sigma;}_{i=0}^{19}{h}_i^2& {\&Sigma;}_{i=0}^{19}{h}_i^3\\ {\&Sigma;}_{i=0}^{19}{h}_i& {\&Sigma;}_{i=0}^{19}{h}_i^2{\&Sigma;}_{i=0}^{19}{h}_i^3& {\&Sigma;}_{i=0}^{19}{h}_i^4\\ {\&Sigma;}_{i=0}^{19}{h}_i^2& {\&Sigma;}_{i=0}^{19}{h}_i^3{\&Sigma;}_{i=0}^{19}{h}_i^4& {\&Sigma;}_{i=0}^{19}{h}_i^5\\ {\&Sigma;}_{i=0}^{19}{h}_i^3& {\&Sigma;}_{i=0}^{19}{h}_i^4{\&Sigma;}_{i=0}^{19}{h}_i^5& {\&Sigma;}_{i=0}^{19}{h}_i^6\end{array}\right)\left(\begin{array}{c}{b}_0\\ b_1\\ b_2\\ b_3\end{array}\right)=\left(\begin{array}{c}{\&Sigma;}_{i=0}^{19}{v}_i\\ {\&Sigma;}_{i=0}^{19}{h}_i{v}_i\\ {\&Sigma;}_{i=0}^{19}{h}_i^2{v}_i\\ {\&Sigma;}_{i=0}^{19}{h}_i^3{v}_i\end{array}\right);$ Solve this normal equation and can obtain every coefficient B that medicinal liquid drips the cubic function relational expression of the mathematical model between speed and liquid level falling head _0,b ₁, B _2,b ₃.

The method of described least square polynomial fit comprises the steps:

Step one, drawn the figure changed by given data, determine the frequency n of polynomial fitting;

Step 2, list calculate ${\mathrm{\&Sigma;}}_{i=0}^m{x_i}^j,(j=0,1,2,\mathrm{...2}n)$

With ${\mathrm{\&Sigma;}}_{i=0}^m{x_i}^j{y}_i,(j=0,1,2,\mathrm{...}n);$

Step 3, write out normal equation

Obtain a _k(k=0,1,2 ... n);

Step 4, write out polynomial fitting

Shown in seeing figures.1.and.2, described medicinal liquid drips speed measuring device and comprises soft bottle body, tube for transfusion and the pressure test device for measuring soft transfusion bottle pressure of the inside of a bottle; Described tube for transfusion is provided with Murphy type tube.

The U-tube that described pressure test device comprises needle tubing, is connected with needle tubing; One end of described U-tube is inserted in soft bottle body by needle tubing, and the other end of U-shaped pipe is communicated with air; Be filled with pure water in described U-tube, soft bottle body inner liquid medicine enters U-tube by needle tubing, is provided with air barrier between U-tube inner liquid medicine and water; Described U-tube is provided with graduation mark.

As shown in Figure 3, the graduation mark in described U-tube is provided with 0 scale, positive scale area and negative scale area; During described U-tube dress water, horizontal plane overlaps with 0 scale.

The above, it is only preferred embodiment of the present invention, not any restriction is made to technical scope of the present invention, thus every above embodiment is done according to technical spirit of the present invention any trickle amendment, equivalent variations and modification, all still belong in the scope of technical scheme of the present invention.

Claims (9)

1. set up a method of dripping fast Changing Pattern mathematical model in soft transfusion bottle, it is characterized in that: comprise the following steps:

Step one, to be dripped speed measuring device by medicinal liquid and carry out dripping a fast experiments of measuring, in record unit time, drip the data of speed and liquid level falling head;

Step 2, carrying out data modeling according to dripping the data that record of fast experiments of measuring, obtaining soft transfusion bottle in infusion process, dripping mathematical model between speed and liquid level falling head.

2. a kind of method setting up a fast Changing Pattern mathematical model in soft transfusion bottle according to claim 1, it is characterized in that: described step one is the experimental model utilizing numerical analysis method to set up the soft transfusion bottle of 250ml specification, detect the changing value dripping speed and liquid level falling head in the unit interval, the relation between observation Murphy type tube Chinese medicine drop speed and liquid level falling head; Carry out data fitting according to the experimental data that a fast experiments of measuring records, the soft transfusion bottle obtaining 250ml specification drips the matched curve of speed and liquid level falling head in infusion process.

3. a kind of method setting up a fast Changing Pattern mathematical model in soft transfusion bottle according to claim 2, is characterized in that: carry out the experiment of N group to the infusion bottle of 250ml specification, removing interference factor affects large numerical value, obtains n ₁group (h _i, v _i) experimental data, to this n ₁group experimental data is averaged, wherein: i=0 ~ n ₁, 4<n ₁<30; h _ibe i-th liquid level falling head; v _ibe _idripping in the infusion bottle under individual liquid level falling head is fast.

4. a kind of method setting up a fast Changing Pattern mathematical model in soft transfusion bottle according to claim 1, it is characterized in that: soft transfusion bottle medicinal liquid when infusing that described step 2 adopts the method for least square polynomial fit to try to achieve 250ml specification drips each term coefficient of speed and liquid level falling head change curve, and then can obtain the mathematical model of soft transfusion bottle between infusion process Chinese medicine drop speed and liquid level falling head.

5. a kind of method setting up a fast Changing Pattern mathematical model in soft transfusion bottle according to claim 4, is characterized in that: the cubic function relational expression of the mathematical model that described medicinal liquid drips between speed and liquid level falling head is: f (x)=B ₃× x ³+ B ₂× x ²+ B ₁× x+B ₀, i.e. V=B ₃× h ³+ B ₂× h ²+ B ₁× h+B ₀, wherein: h represents liquid level falling head, V represents that medicinal liquid drips speed; Normal equation group is obtained by least square polynomial fit:

solve this normal equation and can obtain every coefficient B that medicinal liquid drips the cubic function relational expression of the mathematical model between speed and liquid level falling head ₀, B ₁, B ₂, B ₃.

6. a kind of method setting up a fast Changing Pattern mathematical model in soft transfusion bottle according to claim 5, is characterized in that: the method for described least square polynomial fit comprises the steps:

Step one, drawn the figure changed by given data, determine the frequency n of polynomial fitting;

Step 2, list calculate

With

Step 3, write out normal equation

Obtain a _k(k=0,1,2, n);

Step 4, write out polynomial fitting .

7. a kind of method setting up a fast Changing Pattern mathematical model in soft transfusion bottle according to claim 1, is characterized in that: described medicinal liquid drips speed measuring device and comprises soft bottle body (1), tube for transfusion (2) and the pressure test device for measuring soft transfusion bottle pressure of the inside of a bottle; Described tube for transfusion (2) is provided with Murphy type tube (3).

8. a kind of method setting up a fast Changing Pattern mathematical model in soft transfusion bottle according to claim 7, is characterized in that: the U-tube (4) that described pressure test device comprises needle tubing (5), is connected with needle tubing (5); One end of described U-tube (4) is inserted in soft bottle body (1) by needle tubing (5), and the other end of U-shaped pipe is communicated with air; Described U-tube is filled with pure water in (4), and soft bottle body (1) inner liquid medicine enters U-tube (4) by needle tubing (5), and U-tube (4) is provided with air barrier between inner liquid medicine and water; Described U-tube (4) is provided with graduation mark.

9. a kind of method setting up a fast Changing Pattern mathematical model in soft transfusion bottle according to claim 8, is characterized in that: the graduation mark in described U-tube (4) is provided with 0 scale, positive scale area and negative scale area; During described U-tube (4) dress water, horizontal plane overlaps with 0 scale.