Aortic valve dynamic mathematical model parameterization modeling method and device

By constructing Bézier curves and sweep curves in a three-dimensional coordinate system and adjusting control points, a dynamically changing aortic valve leaflet is constructed, solving the problem that the aortic valve model in the prior art cannot change dynamically, and realizing the dynamic simulation and physiological function of the valve.

CN119446545BActive Publication Date: 2025-10-24SHENZHEN BAY LAB +2
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Patent Information

Application Number
CN202411436731.0
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2024-10-15
Publication Date
2025-10-24
Estimated Expiration
2044-10-15

AI Technical Summary

Technical Problem

The aortic valve model in the existing technology cannot realize the dynamic changes of the valve, cannot simulate the opening and closing process of the valve, and lacks universality and physiological function.

Method used

By determining reference points in a three-dimensional coordinate system, constructing Bézier curves and sweep curves, a dynamically changing single valve leaflet is constructed. Control points are used to regulate the opening and closing action of the valve leaflet, forming three dynamically changing valve leaflets, thus constructing a dynamic mathematical model of the aortic valve.

Benefits of technology

It realizes the dynamic change function of the aortic valve model, simulates the opening and closing process of the valve, conforms to the structural characteristics and physiological functions of the real aortic valve, and has medical research value.

✦ Generated by Eureka AI based on patent content.

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Abstract

The application provides an aortic valve dynamic mathematical model parameterization modeling method and device, and particularly relates to the technical field of medical model construction. The scheme comprises the following steps: determining three reference points based on a plane in a three-dimensional coordinate system, and obtaining a bottom fixed point along the median line direction of a target line segment formed by two reference points; constructing an opening and closing motion curve, an abdominal edge curve and an attachment edge curve based on the three reference points and the fixed point; constructing a single valve leaflet by taking the opening and closing motion curve as a sweeping path and taking the abdominal edge curve and the attachment edge curve as sweeping curves, and pre-setting a plurality of control points to control the opening and closing motion curve, so as to obtain a single valve leaflet capable of dynamically changing; and repeating the above steps to construct an aortic valve dynamic mathematical model composed of three valve leaflets capable of dynamically changing. The scheme adjusts the positions of the reference points and controls the overall structure of the valve leaflet by changing the trend of the opening and closing motion curve, so that the dynamic change function of valve closing and opening is realized.
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Description

TECHNICAL FIELD

[0001] The present application relates to the technical field of medical model construction, in particular to an aortic valve dynamic mathematical model parameterization modeling method and device. BACKGROUND

[0002] The aortic valve is an important component of the heart, located between the left ventricle and the aorta, and plays a key role in regulating the heart's blood output. The aortic valve is composed of three semilunar valve leaflets, which are called semilunar valves. They are triangular, thin and tough tissue structures. The main function of the aortic valve is to ensure that the heart pushes oxygenated blood to the whole body during systole, while preventing blood from flowing back to the left ventricle during diastole. This process is achieved through the opening and closing of the aortic valve. When the heart is diastolic, the aortic valve closes to prevent blood from flowing back to the left ventricle from the aorta. When the heart contracts, the aortic valve opens quickly, allowing oxygen and blood to flow from the left ventricle into the aorta to meet the oxygen and nutrient needs of various parts of the body. It can be seen that the aortic valve plays a crucial role in the normal function of the cardiovascular system. However, due to various factors, aortic valve stenosis or aortic valve insufficiency may occur, which may lead to abnormal heart function, so it is necessary to study the mechanism of heart function abnormalities through aortic valve models.

[0003] In the prior art, the structure of the aortic valve is either based on three-dimensional reconstruction of medical image data, which can only be used for individual reconstruction using collected medical data, resulting in a model that is only specific and single, and not universal; or a static mathematical model is used to construct the model, which can adjust the shape of the valve, but cannot dynamically adjust the opening and closing of the valve. It can be seen that the aortic valve model constructed in the prior art is a static model and cannot achieve the dynamic change function of valve closure and opening. SUMMARY

[0004] In view of the above shortcomings of the prior art, the present application aims to provide an aortic valve dynamic mathematical model parameterization modeling method and device, which aims to solve the problem that the aortic valve model constructed in the prior art cannot achieve dynamic changes of the valve.

[0005] To achieve the above-mentioned purpose, the first aspect of the present application provides an aortic valve dynamic mathematical model parameterization modeling method, comprising:

[0006] Determine three reference points based on a plane in a three-dimensional coordinate system, and obtain a bottom fixed point along the perpendicular bisector direction of a target line segment formed by two reference points, and the three reference points form a planar triangle;

[0007] constructing a Bezier curve based on the three reference points to obtain a switch motion curve;

[0008] constructing an abdominal edge curve and an attachment edge curve based on the switch motion curve, the bottom fixed point, and / or the reference point corresponding to the target line segment, respectively;

[0009] constructing a single-piece valve leaflet with the switch motion curve as a sweeping path and the abdominal edge curve and the attachment edge curve as sweeping curves;

[0010] based on the single-piece valve leaflet, presetting a plurality of control points to control the straight line segments on which the midpoint and the reference point of the switch motion curve are located, to obtain a single-piece valve leaflet that can dynamically change;

[0011] repeating the step of constructing the single-piece valve leaflet that can dynamically change based on the three reference points until three single-piece valve leaflets that can dynamically change are obtained, and constructing an aortic valve dynamic mathematical model using the three single-piece valve leaflets that can dynamically change.

[0012] Optionally, the step of constructing a Bezier curve based on the three reference points to obtain a switch motion curve comprises:

[0013] obtaining the barycenter of the planar triangle;

[0014] obtaining the midpoint of the line connecting the two reference points, and obtaining a first vector from the barycenter to the midpoint of the line connecting the reference points;

[0015] obtaining a second vector from the barycenter in the direction opposite to the direction of the Z-axis;

[0016] obtaining a vector end point based on the first vector and the second vector;

[0017] constructing a Bezier curve with the two reference points and the vector end point as control points to obtain a switch motion curve.

[0018] Optionally, the step of constructing a single-piece valve leaflet that can dynamically change based on the single-piece valve leaflet, presetting a plurality of control points to control the straight line segments on which the midpoint and the reference point of the switch motion curve are located, comprises:

[0019] obtaining the midpoint of the switch motion curve based on the single-piece valve leaflet, and obtaining two straight line segments intersecting at the midpoint of the switch motion curve based on the midpoint of the switch motion curve and the two reference points;

[0020] segmenting the two straight line segments using preset parameters to obtain a plurality of groups of control points;

[0021] The switch motion curve is controlled by the control points of different groups, and a single-piece valve leaflet that can dynamically change is obtained.

[0022] Optionally, the reference points corresponding to the switch motion curve, the bottom fixed point, and / or the target line segment are used to construct an abdominal edge curve and an attachment edge curve, respectively.

[0023] A third vector is obtained by taking the midpoint of the switch motion curve as a starting point and making a normal vector of the planar triangle in the opposite direction of the direction of the Z-axis.

[0024] An abdominal edge key point is determined by taking the midpoint of the switch motion curve as a starting point and following the third vector in a predetermined length.

[0025] A Bezier curve is constructed by taking the midpoint of the switch motion curve, the abdominal edge key point, and the bottom fixed point, and an abdominal edge curve is obtained.

[0026] Optionally, the reference points corresponding to the switch motion curve, the bottom fixed point, and / or the target line segment are used to construct an abdominal edge curve and an attachment edge curve, respectively.

[0027] Each of the reference points corresponding to the target line segment is taken as a starting point, and each attachment edge curve is obtained by extending in a predetermined direction with the Z-axis as the reference direction and the Y-axis and / or the X-axis as the angle change axis.

[0028] Optionally, the switch motion curve is used as a sweeping path, and the abdominal edge curve and the attachment edge curve are used as sweeping curves to construct a single-piece valve leaflet.

[0029] The switch motion curve is used as a sweeping path, and the two attachment edge curves are used as the starting point and the ending point of the sweeping curve, respectively. The abdominal edge curve is used to control the single-piece valve leaflet configuration to perform sweeping lofting, and a single-piece valve leaflet is constructed.

[0030] Optionally, three reference points are determined based on a plane in a three-dimensional coordinate system, and a bottom fixed point is obtained along the median line direction of a target line segment formed by two reference points.

[0031] A cylinder is constructed, and two reference points are determined based on a cross section of the cylinder.

[0032] The median line of the target line segment formed by the two reference points on the cross section is made, and a reference point is determined based on the median line.

[0033] The intersection of the median line and the surface of the cylinder is determined to obtain a bottom fixed point.

[0034] A second aspect of the present invention provides a parametric modeling device for a dynamic mathematical model of an aortic valve, the parametric modeling device for a dynamic mathematical model of an aortic valve being used to implement the steps of the parametric modeling method for a dynamic mathematical model of an aortic valve, the parametric modeling device for a dynamic mathematical model of an aortic valve comprising:

[0035] A key point acquisition module is used to determine three reference points based on a plane in a three-dimensional coordinate system, and obtain a bottom fixed point along the perpendicular bisector of a target line segment formed by two of the reference points, wherein the three reference points are used to form a plane triangle;

[0036] A switch motion curve construction module, configured to construct a Bezier curve based on the three reference points to obtain a switch motion curve;

[0037] a belly side curve and an attachment side curve construction module, configured to respectively construct a belly side curve and an attachment side curve based on the switch motion curve, the bottom fixed point and / or a reference point corresponding to the target line segment;

[0038] a single valve leaflet construction module, configured to construct a single valve leaflet by using the switch motion curve as a sweep path and the abdominal edge curve and the attachment edge curve as sweep curves;

[0039] A dynamic adjustment module, configured to adjust the straight line segment where the midpoint and the reference point on the switching curve are located based on the single valve leaflet and preset a plurality of control points to obtain a dynamically changeable single valve leaflet;

[0040] The dynamic model construction module is used to repeatedly construct the steps of constructing the dynamically changeable single valve leaflet based on the three reference points until three dynamically changeable single valve leaflets are obtained, and use the three dynamically changeable valve leaflets to construct a dynamic mathematical model of the aortic valve.

[0041] The third aspect of the present invention provides a terminal, which includes a memory, a processor, and a parametric modeling program of the dynamic mathematical model of the aortic valve stored in the memory and runnable on the processor. When the parametric modeling program of the dynamic mathematical model of the aortic valve is executed by the processor, it implements any step of the above-mentioned parametric modeling method of the dynamic mathematical model of the aortic valve.

[0042] A fourth aspect of the present invention provides a computer-readable storage medium, on which is stored a parametric modeling program for the dynamic mathematical model of the aortic valve. When the parametric modeling program for the dynamic mathematical model of the aortic valve is executed by a processor, it implements any step of the above-mentioned parametric modeling method for the dynamic mathematical model of the aortic valve.

[0043] Compared with the prior art, the present scheme has the following beneficial effects:

[0044] The present application determines three reference points capable of constituting a planar triangle in a plane in a three-dimensional coordinate system, divides the areas corresponding to three valve leaflets based on any two of the three reference points, obtains a bottom fixed point in the direction of the perpendicular bisector of any two reference points to determine the depth of one of the valve leaflets, constructs a Bezier curve based on the three reference points to obtain an opening-closing curve, respectively constructs an abdominal edge curve and an attachment edge curve based on the opening-closing curve, the bottom fixed point and / or the reference points corresponding to the target line segment, constructs a single valve leaflet by taking the opening-closing curve as a sweeping path and taking the abdominal edge curve and the attachment edge curve as sweeping curves, controls the midpoint on the opening-closing curve and the straight line segment where the reference points are located by presetting a plurality of control points based on the single valve leaflet to obtain a single valve leaflet capable of dynamically changing, and repeats the step of constructing the single valve leaflet capable of dynamically changing by taking the three reference points as the reference to construct an aortic valve dynamic mathematical model composed of three single valve leaflets capable of dynamically changing. It can be seen that the present application realizes the determination of the overall structure of the valve leaflet by adjusting the position and parameters of the reference points to control the sinus depth, the sinus width and the curvature of the valve leaflet, changes the curve trend of the opening-closing curve to make the entire valve leaflet open and close, and achieves the parameterized adjustment of the opening and closing actions of the valve leaflet dynamic model to realize the dynamic change function of the valve closing and opening, and constructs an aortic valve model capable of dynamically moving which conforms to the structural characteristics and physiological functions of the real aortic valve. BRIEF DESCRIPTION OF DRAWINGS

[0045] In order to more clearly illustrate the technical solutions in the embodiments of the present application, the following will briefly introduce the drawings needed to be used in the embodiments or the prior art description. Obviously, the drawings in the following description are only some embodiments of the present application, and other drawings can be obtained by those skilled in the art without any creative labor.

[0046] Figure 1 The flow chart of the parameterized modeling method of the aortic valve dynamic mathematical model of the present application;

[0047] Figure 2 The schematic diagram of the reference points and key vectors of the present application;

[0048] Figure 3 The schematic diagram of the opening-closing curve of the present application;

[0049] Figure 4 The schematic diagram of the construction of key points of the opening-closing curve and the abdominal edge curve of the present application;

[0050] Figure 5 The schematic diagram of the opening-closing curve in the open state of the present application;

[0051] Figure 6 A schematic view of the closing curve of the switch of the present application in a closed state;

[0052] Figure 7 A schematic view of the attachment edge curve of the present application;

[0053] Figure 8 A schematic view of the adjustment of the direction of the attachment edge curve based on the YZ plane of the present application;

[0054] Figure 9 A schematic view of the adjustment of the direction of the attachment edge curve based on the XZ plane of the present application;

[0055] Figure 10 A side view of a single leaflet of the valve of the present application;

[0056] Figure 11 A top view of a single leaflet of the valve of the present application;

[0057] Figure 12 A side view of the valve leaflets in an open state in the dynamic mathematical model of the aortic valve of the present application;

[0058] Figure 13 A top view of the valve leaflets in an open state in the dynamic mathematical model of the aortic valve of the present application;

[0059] Figure 14 A side view of the valve leaflets in a closed state in the dynamic mathematical model of the aortic valve of the present application;

[0060] Figure 15 A top view of the valve leaflets in a closed state in the dynamic mathematical model of the aortic valve of the present application;

[0061] Figure 16 A schematic view of the position relationship of the reference point and the bottom fixed point based on a cylinder of the present application;

[0062] Figure 17 A schematic view of the parameterization modeling device module of the dynamic mathematical model of the aortic valve of the present application;

[0063] Figure 18 A schematic view of the terminal structure of the present application. DETAILED DESCRIPTION

[0064] In the following description, for purposes of explanation and not limitation, specific details are set forth such as particular architectures, techniques, etc. in order to provide a thorough understanding of the embodiments of the present application. However, it will be apparent to those skilled in the art that the present application can be practiced in other embodiments that depart from these specific details. In other instances, detailed descriptions of well-known methods, devices, circuits, and

[0065] It is to be understood that the terminology "includes", "has", "holds", "contains" and / or "comprising", when used in this specification, including the accompanying claims, includes the presence of said feature, item, step, operation, element, and / or component but does not exclude the presence or addition of one or more other features, items, steps, operations, elements, components and / or groups thereof.

[0066] It is also to be understood that the terminology used in the description of the present application is for the purpose of describing particular embodiments only and is not intended to be limiting of the present application. As used in this description and the appended claims, the singular forms "a", "an", and "the" are intended to include the plural forms as well, unless the context clearly indicates otherwise.

[0067] It will be further understood that the terms "comprises" and / or "comprising", when used in this specification, include the presence of one or more other features, integers, steps, operations, elements, and / or components, and / or groups thereof; and that the description of embodiments of the present application is intended to embrace by reference all such variations, modifications and permutations as would be understood by those skilled in the art.

[0068] The technical solutions in the embodiments of the present application are clearly and completely described below with reference to the drawings of the embodiments of the present application. Obviously, the described embodiments are only part of the embodiments of the present application, rather than all the embodiments of the present application. Based on the embodiments of the present application, all other embodiments obtained by those skilled in the art without creative work fall within the scope of protection of the present application.

[0069] Many specific details are set forth in the following description in order to provide a thorough understanding of the present application. However, persons of ordinary skill in the art will appreciate that the present application can be practiced without all of these specific details, and that the present application is not limited to the embodiments described here below. In other instances, well-known methods, procedures, components, and circuits have not been described in detail since it would be appreciated by persons skilled in the art that, in the interest of brevity and limited space, these specific details are not to obscure the understanding of the present application.

[0070] The present application faces the problem that the existing aortic valve model cannot realize dynamic changes of the valve, and proposes an aortic valve dynamic mathematical model parameterization modeling method, which mainly selects several reference points and parameter points, obtains different control points by combining numbers and shapes, constructs a Bezier curve using the control points, obtains the opening and closing curves of the valve and the abdominal edge curve, and then sweeps to obtain a closed surface, that is, a static valve leaf. Further, by using function control, the constructed curve is controlled by parameters to control the closing of the opening and closing curve at the top of the valve leaf, and the dynamic valve leaf design is realized. Finally, according to the modeling method of a single valve leaf, two other valve leaves are constructed, thereby constructing three valve leaves and obtaining a complete aortic valve dynamic mathematical model. This scheme can control the overall structure of the valve leaf by adjusting the positions of the reference points and the control parameters to determine the sinus depth, sinus width and valve leaf curvature of the valve leaf, and can also change the curve shape of the opening and closing curve to make the entire valve close and open, achieve the effect of parameterization adjustment of the valve closing and opening model, realize the dynamic aortic valve, and make the constructed aortic valve dynamic mathematical model have physiological function and medical research value.

[0071] The aortic valve dynamic mathematical model parameterization modeling method provided by the embodiment of the present application is deployed on a computer, a server or other electronic device, and is applied to the simulation design of an aortic valve dynamic mathematical model, and is aimed at the dynamic changes of the aortic valve that can be closed and opened. Specifically, as shown in Figure 1 The steps of the method of the embodiment include:

[0072] Step S100: three reference points are determined based on a plane in a three-dimensional coordinate system, and a bottom fixed point is obtained along the perpendicular bisector direction of a target line segment formed by two reference points, and the three reference points are used to form a planar triangle.

[0073] Specifically, the three-dimensional aortic valve dynamic mathematical model is constructed based on a three-dimensional coordinate system in the embodiment. Since the human aortic valve is composed of three half-moon valve leaves, the shape of the half-moon valve is approximately triangular. Therefore, three reference points are first selected as the intersection points of the three valve leaves in any plane of the three-dimensional coordinate system, and each valve leaf includes two reference points. Since the sizes of the three valve leaves are approximately the same and the shapes are similar in actual situations, the planar triangle formed by the three reference points may be an equilateral triangle, an isosceles triangle or a general triangle, and the sizes and shapes of the three valve leaves are not specifically limited in the embodiment, that is, the shape of the triangle formed by the three points in the same plane is not specifically limited. In order to facilitate the construction of the model, the intersection points of the three valve leaves, that is, the three reference points selected in the same plane, are limited.

[0074] Since the shape of the valve leaflet is approximately triangular, each valve leaflet needs to include one point in addition to two reference points. Since there are infinite midlines of the target line segment formed by connecting the two reference points, and infinite midlines are located in the same plane, the embodiment selects a point in the plane where the midline of the line segment connecting the two reference points corresponding to the valve leaflet to be constructed is located as the bottom fixed point of the single valve leaflet to control the depth of the valve leaflet according to the approximate size and shape of the valve leaflet to be constructed.

[0075] Step S200: constructing a Bezier curve based on the three reference points to obtain a switching motion curve;

[0076] Specifically, based on the position and distance relationship between the center of gravity of the plane where the three reference points are located and the midpoint of the line segment connecting the two reference points corresponding to the single valve leaflet to be constructed, a key construction point is determined, and then the two reference points corresponding to the single valve leaflet to be constructed and the key construction point are taken as control points to construct a second-order Bezier curve, and the second-order Bezier curve is taken as the switching motion curve to form the arc at the top of the valve leaflet.

[0077] Step S300: respectively constructing an abdominal edge curve and an attachment edge curve based on the switching motion curve, the bottom fixed point and / or the reference point corresponding to the target line segment;

[0078] Specifically, the midpoint of the reconstructed switching motion curve and the bottom fixed point are taken as control points to construct a second-order Bezier curve, and the second-order Bezier curve is taken as the abdominal edge curve to form the abdominal curve of the valve leaflet to determine the pocket-shaped curvature of the valve leaflet.

[0079] The two reference points corresponding to the target line segment corresponding to the single valve leaflet to be constructed are respectively taken as starting points, and are respectively extended according to a preset length and a preset direction corresponding to each starting point to obtain an attachment edge curve, forming a complete closed edge of the valve leaflet. In order to distinguish the attachment edge curves corresponding to each reference point, one of the attachment edge curves is regarded as the starting point of the single valve leaflet, and the other is regarded as the terminal point of the single valve leaflet. It is easy to understand that as the preset length changes, the length of the generated attachment edge curve will change accordingly, and as the preset direction changes, the direction of the generated attachment edge curve will change accordingly. By presetting different lengths and directions, the length and bending direction of the constructed attachment edge curve can be adjusted, thereby facilitating the adjustment of the expected attachment edge curve.

[0080] Step S400: constructing a single valve leaflet with the switching motion curve as a sweeping path and the abdominal edge curve and the attachment edge curve as sweeping curves;

[0081] Specifically, the constructed switch motion curve is used as the valve structure sweeping path to control the valve structure of the single-piece valve leaflet, the belly edge curve and the attachment edge curve are used as the sweeping curves, the overall shape length and the belly depth of the valve are controlled through the belly edge curve, and the valve ring is fixed through the attachment edge curve, so as to construct a complete valve leaflet.

[0082] Step S500: based on the single-piece valve leaflet, a plurality of control points are preset to control the straight line segments where the midpoint and the reference point on the switch motion curve are located, and a single-piece valve leaflet capable of dynamic change is obtained.

[0083] Specifically, in order to make the constructed switch motion curve have the dynamic change function of closing and opening, the embodiment reconstructs the switch motion curve constructed in step S200. First, based on the constructed single-piece valve leaflet, the midpoint of the switch motion curve is determined, the midpoint is connected with the two reference points corresponding to the switch motion curve respectively, and two straight line segments are constructed. Then, a plurality of control points are determined on the two straight line segments, and the control points are used to divide each straight line segment. According to the different division ratios of the control points to the straight line segments, the dynamic control of the division ratio of the control points to the straight line segments is realized, so that the reconstructed switch motion curve can dynamically change, drive the corresponding single-piece valve leaflet to open or close the valve ring, and thus a single-piece valve leaflet capable of dynamic change is obtained.

[0084] Step S600: taking the three reference points as the reference, repeating the steps of constructing the single-piece valve leaflet capable of dynamic change until three single-piece valve leaflets capable of dynamic change are obtained, and using the three single-piece valve leaflets capable of dynamic change to construct an aortic valve dynamic mathematical model.

[0085] Specifically, the three reference points are determined based on a plane in the three-dimensional coordinate system, and the number of valve leaflets to be constructed is determined to be three. The steps of constructing the single-piece valve leaflet capable of dynamic change in steps S100 to S500 are repeated, and another two valve leaflets are constructed, so as to obtain three valve leaflets. The adjacent valve leaflets are tightly attached through the attachment edge curve, and each valve leaflet can dynamically change synchronously according to its own configuration, so as to construct a complete aortic valve dynamic mathematical model.

[0086] In this embodiment, points are taken on a plane in three-dimensional space to determine fixed points and parameter points. Different construction points are obtained through a combination of numbers and shapes. These construction points are then used to construct Bezier curves, resulting in three construction curves for the valve leaflets: the opening and closing curve, the abdominal edge curve, and the attachment edge curve. The opening and closing curve is then used as a sweep path, while the abdominal edge curve and the attachment edge curve serve as sweep curves to form a curved surface representing a single valve leaflet. This results in a static valve leaflet. Furthermore, the opening and closing curves of the valve leaflets are regulated by setting control points. The curve trajectory of the valve leaflets can be controlled by parameters, enabling the leaflets to open and close, achieving dynamic changes in the leaflets and thus designing a dynamic mathematical model of the aortic valve. It can be seen that this embodiment determines the overall structure of the valve leaflet by adjusting the reference point position and parameters to control the sinus depth, sinus width and curvature of the valve leaflet, and opens and closes the entire valve leaflet by changing the curve trend of the switching dynamic curve, so as to achieve parameterized adjustment of the opening and closing actions of the valve leaflet dynamic model, and construct a dynamically movable aortic valve model that conforms to the structural characteristics and physiological functions of the real aortic valve, which can ensure that the heart pushes oxygen and blood to the whole body when it contracts, and prevents blood from flowing back from the aorta to the left ventricle when the heart relaxes.

[0087] As a preferred embodiment, assuming that each leaflet of the aortic valve dynamic mathematical model to be constructed has identical configuration and size, after constructing a single dynamically changeable leaflet, the leaflet can be rotated and lofted around the center of gravity of the equilateral triangle containing the three reference points, obtaining three identical leaflets to construct a regular aortic valve dynamic mathematical model. In actual research applications, a regular aortic valve dynamic mathematical model is often selected as the research object and for determining various research indicators. Therefore, a dynamic aortic valve mathematical model constructed from three identical leaflets has high practical research and medical application value.

[0088] In light of this, this application primarily uses the construction of a regular dynamic mathematical model of the aortic valve (i.e., a case where all three valve leaflets are identical) as an example to illustrate the principles and steps for constructing a dynamically changeable single valve leaflet. It should be noted that any aortic valve model constructed based on the principles of the present invention for constructing a dynamically changeable single valve leaflet falls within the scope of protection of the present invention.

[0089] like Figures 2-3 As shown, in one embodiment, constructing a Bezier curve based on the three reference points in step S200 to obtain a switch motion curve includes:

[0090] Step S210: obtaining the center of gravity of the plane triangle;

[0091] Specifically, the three reference points in the three-dimensional coordinate system XYZ are defined as 、 and , construct a plane triangle based on these three reference points and determine the center of gravity of the plane triangle , Because the sum of the squares of the distances from the center of gravity to the three vertices is minimal, using the center of gravity as the reference point helps make the top curve of each valve leaflet more symmetrical. In particular, if the plane triangle is an equilateral triangle, then using the center of gravity as the reference point can construct three valve leaflets with exactly the same top curves.

[0092] Step S220: Obtain the midpoint of the line connecting the two reference points, and use the center of gravity as a starting point to point to the midpoint of the line connecting the two reference points to obtain a first vector;

[0093] Step S230: Taking the center of gravity as a starting point, a normal vector of the planar triangle is drawn in the opposite direction of the Z-axis to obtain a second vector;

[0094] Step S240: obtaining a vector end point based on the first vector and the second vector;

[0095] Step S250: constructing a Bezier curve with the two reference points and the vector end point as control points to obtain a switch motion curve.

[0096] Specifically, if Figure 2 and Figure 3 As shown, based on the rectangular coordinate system XYZ, each valve leaflet corresponds to three reference points 、 、 Two reference points in, such as and , with the center of gravity The starting point points to the midpoint of the line connecting the two reference points , , get the first vector , , and the first vector The length of the parameter Control. Starting from the center of gravity, draw the normal vector of the plane triangle in the opposite direction of the Z axis to obtain the second vector , the second vector The coordinates of are obtained by solving the following set of equations.

[0097]

[0098] in, Represents the solution of the equations, that is, the second vector The coordinates of the first vector The length of the parameter control.

[0099] Solve for the first vector and the second vector The sum of the vector ends. , and the end point of the vector is used as the key point of the switch dynamic curve to obtain the vector , . Based on the reference point and , and the end point of the vector As the control point, draw the second-order Bezier curve to obtain the switch dynamic curve , whose expression is:

[0100]

[0101] in, Represents the range of the independent variable value of the switching curve L1 from the starting point 0 to the end point 1.

[0102] In this embodiment, a second-order Bezier curve is drawn by three control points to obtain a switch dynamic curve, and two control parameters are set. and Control the first vector separately and the second vector , so that the configuration of the constructed switching curve can be flexibly controlled.

[0103] like Figures 4-6 As shown, in one embodiment, in step S500, based on the single valve leaflet, a plurality of control points are preset to regulate the straight line segment where the midpoint and the reference point on the switching curve are located to obtain a dynamically changeable single valve leaflet, including:

[0104] Step S510: Based on the single valve leaflet, obtaining the midpoint of the switching curve, and based on the midpoint of the switching curve and the two reference points, obtaining two straight line segments intersecting at the midpoint of the switching curve;

[0105] Step S520: segmenting the two straight line segments using preset parameters to obtain a plurality of control points;

[0106] Step S530: controlling the switching curve through different groups of control points to obtain a single valve leaflet that can change dynamically.

[0107] Specifically, if Figure 4 As shown, obtain the switch dynamic curve midpoint , define the reference point The coordinates are , benchmark The coordinates are , then use the equation of the line in space to find the midpoint The coordinates of the space line equation are as follows:

[0108]

[0109] Then, based on the midpoint Towards the reference point and Draw a straight line to obtain two straight line segments and Two straight lines intersecting at the key point M are obtained as the initial switch closed curves.

[0110] like Figure 5 and Figure 6 As shown, based on the switch closure curve, the preset parameters ,use Different values ​​of and Perform segmentation in different proportions. For example, this embodiment controls , , Straight line segment and Segmentation is performed to obtain six segmentation points. and Calculate the specific coordinates of the six points and get six points 、 、 、 、 . Create a fifth-order Bezier function curve based on these six points, namely:

[0111]

[0112] in, Indicates the switch dynamic curve in the open state, express The range of the independent variable value from the starting point 0 to the end point 1, The value of is [0,1,2,3,4,5].

[0113] pass The change of the value of is used to adjust the control point that plays a control role, and realize six-point control to adjust the switch closing curve to approach the straight line segment and the degree of opening or closing of the valve, so as to realize the regulation of the trend of the closing curve, and then realize the dynamic change of the closing and opening action of the valve leaf. For example, the data in the Grasshopper in Rhino is used to regulate the path displacement, so that the curve tends to close or open. Figure 5 Fig. 3 shows a schematic diagram of the closing curve of the valve in the open state, Figure 6 Fig. 4 shows a schematic diagram of the closing curve of the valve in the closed state.

[0114] In order to realize the accurate and flexible regulation of the value of , the embodiment adopts a Sigmoid function as the value regulation function of , for example, a Logistic function, that is:

[0115]

[0116] wherein, represents the degree of opening or closing of the valve. When tends to positive infinity, , , , , the valve is in the open state; when tends to negative infinity, , , , , the valve is in the closed state. According to the preset value change rule (such as change frequency and change order of different values), the function is used to control , or , so as to control the closing curve to reach the corresponding control point, so as to adjust the degree of the closing curve approaching the straight line segments and , and obtain the single-piece valve leaf which can dynamically change. It needs to be declared that, by setting three groups of control points on the straight line segments and , as other preferred embodiments, the position of the control point can be changed by changing the value of , so as to change the size of the dynamic change of the regulation of the closing curve, and more control points can be set to further improve the regulation accuracy of the closing curve.

[0117] ​​In this embodiment, on the basis of constructing the static monolithic valve leaflet, the degree of the opening and closing curve approximating to two straight line segments is adjusted by setting control points and regulating the control points, so that the valve leaflet can perform dynamic adjustment of closing and opening actions and changes in action amplitude.

[0118] In an embodiment, the constructing, in the step S300, of the abdominal edge curve and the attachment edge curve based on the reference points corresponding to the opening and closing curve, the bottom fixed point and / or the target line segment, respectively, comprises:

[0119] The step S310 comprises: taking the midpoint of the opening and closing curve as a starting point, and obtaining a third vector by making a normal vector of the planar triangle in the opposite direction of the direction in which the Z axis lies.

[0120] The step S320 comprises: taking the midpoint of the opening and closing curve as a starting point, and determining an abdominal edge key point in the direction in which the third vector lies according to a preset length.

[0121] The step S330 comprises: constructing a Bezier curve by taking the midpoint of the opening and closing curve, the abdominal edge key point and the bottom fixed point, and obtaining an abdominal edge curve.

[0122] Specifically, as shown in FIG. 3, the third vector is obtained by taking the midpoint of the opening and closing curve as a starting point and making a normal vector of the planar triangle in the opposite direction of the direction in which the Z axis lies. Figure 4 The length of the third vector is controlled by a parameter. The abdominal edge key point is defined as The length of the third vector is adjusted by adjusting the parameter in the direction in which the third vector lies, so that the third vector meets a preset length, and the endpoint of the third vector and the abdominal edge key point coincide, to obtain a vector It can be seen that the parameter can be used to control the abdominal depth. The midpoint of the opening and closing curve, the abdominal edge key point and the bottom fixed point are taken as control points to construct a second-order Bezier curve, and an abdominal edge curve is obtained. The expression of the abdominal edge curve is as follows: It can be seen that the parameter can be used to control the abdominal depth. , It can be seen that the parameter can be used to control the abdominal depth. The midpoint of the opening and closing curve, the abdominal edge key point and the bottom fixed point are taken as control points to construct a second-order Bezier curve, and an abdominal edge curve is obtained.

[0123] The expression of the abdominal edge curve is as follows: The expression of the abdominal edge curve is as follows:

[0124] ​​​​​​​​​

[0125] wherein, represents the range of the independent variable of the abdominal edge curve L2 from the starting point 0 to the ending point 1.

[0126] In this embodiment, the midpoint of the switch motion curve is taken as a control point , the abdominal edge key point and the bottom fixed point are taken as two control points to draw a second-order Bezier curve, so as to obtain the switch motion curve, and the third vector is adjusted by setting the control parameter , so that the depth of the constructed abdominal edge curve can be flexibly controlled.

[0127] As shown in Figures 7-9 , in an embodiment, the constructing of the abdominal edge curve and the attachment edge curve based on the switch motion curve, the bottom fixed point and / or the reference point corresponding to the target line segment in step S300 comprises:

[0128] Step S340: respectively taking each of the reference points corresponding to the target line segment as a starting point, extending in a preset direction with the Z-axis direction as a reference direction and the Y-axis and / or the X-axis as an angle change axis according to a preset length, to obtain an attachment edge curve.

[0129] Specifically, the premise of the aortic valve being closed is that the attachment edge can fix the valve annulus, and the valve leaflet can perform opening and closing movement to make blood flow without causing blood reflux phenomenon. Therefore, the construction of the attachment edge plays an important role in the physiology of the whole model. In this embodiment, the starting point, direction and length are used to construct the attachment edge. Specifically, as shown in Figure 7 , for the valve leaflet corresponding to the target line segment formed by the reference points and , the reference points and are respectively taken as a starting point, the length of the attachment edge curve is adjusted by using the attachment edge parameter , and the direction of the attachment edge curve is adjusted by the angle change of the two angle parameters and . The attachment edge curve takes the Z-axis direction as a reference direction, adjusts the parameter in the range of 0~360° (based on the YZ plane) in a preset direction with the Y-axis as an angle change axis, as shown in Figure 8 , and / or adjusts the parameter in the range of 0~360° (based on the XZ plane) with the X-axis as an angle change axis, as shown in Figure 9 , to obtain an attachment edge curve with the reference point The attachment edge curve with the reference point as the starting point , referred to as the starting point of the constructed single-patch valve leaflet, and an attachment edge curve with the reference point as the starting point , referred to as the end point of the constructed single-patch valve leaflet.

[0130] In this embodiment, two attachment edge curves are constructed to connect the free edge curve and the belly edge curve to form a closed curve for constructing the valve leaflet. The length and direction of the attachment edge curve can be adjusted freely, so that the configuration of the constructed valve leaflet is adjustable, and the extensibility of the free connection with the free edge curve and the belly edge curve is improved.

[0131] As shown in Figure 10 and Figure 11 , in an embodiment, constructing a single-patch valve leaflet with the opening and closing curve as the sweep path, the belly edge curve and the attachment edge curve as the sweep curves in step S400 comprises:

[0132] sweeping lofting the single-patch valve leaflet with the opening and closing curve as the sweep path, and the two attachment edge curves as the starting point and the end point of the sweep curves, respectively, and the belly edge curve regulating the configuration of the single-patch valve leaflet to construct the single-patch valve leaflet. Figure 10 Fig. 4 shows a side view of the single-patch valve leaflet, Figure 11 Fig. 5 shows a top view of the single-patch valve leaflet.

[0133] Specifically, the single-track sweep function of Grasshopper in Rhino is used to construct the surface corresponding to the valve leaflet, the sweep path is selected as the opening and closing curve , the belly edge curve is used to regulate the overall configuration of the valve leaflet, the starting point of the single-patch valve leaflet is the attachment edge curve with the reference point as the starting point , the end point of the single-patch valve leaflet is the attachment edge curve with the reference point as the starting point , and the single-patch valve leaflet surface model is obtained by sweeping lofting. The attachment edge curves and can fix the valve ring and support the profile of the aortic valve. More importantly, during the opening and closing movement of the valve leaflet, blood can flow without causing blood reflux.

[0134] Further, as shown in Figures 12-15 , two more valve leaflets are constructed using the above method of constructing a single-patch valve leaflet, and the three valve leaflets are closely attached through the attachment edge curves to construct a dynamic mathematical model of the aortic valve. Figure 12Fig. 4 is a side view of the aortic valve dynamic mathematical model, showing the valve leaflets in an open state, Figure 13 Fig. 5 is a top view of the aortic valve dynamic mathematical model, showing the valve leaflets in an open state, Figure 14 Fig. 6 is a side view of the aortic valve dynamic mathematical model, showing the valve leaflets in a closed state, Figure 15 Fig. 7 is a top view of the aortic valve dynamic mathematical model, showing the valve leaflets in a closed state.

[0135] In order to make the aortic valve dynamic mathematical model have dynamic physiological functions, the three valve leaflets can be controlled to perform opening and closing actions at the same frequency through the control points, and the action frequency can be adjusted according to the normal aortic valve motion frequency in the human body, so as to construct a model capable of simulating life characteristics, thereby providing a basis for medical research.

[0136] As Figure 16 shown, in one embodiment, the step S100 of determining three reference points based on a plane in a three-dimensional coordinate system, and obtaining a bottom fixed point along the perpendicular bisector of a target line segment formed by two reference points, includes:

[0137] Step S110: constructing a cylinder, and determining two reference points based on a cross section of the cylinder;

[0138] Step S120: drawing a perpendicular bisector of a target line segment formed by the two reference points on the cross section, and determining a reference point based on the perpendicular bisector;

[0139] Step S130: determining the intersection of the perpendicular bisector and the surface of the cylinder to obtain a bottom fixed point.

[0140] Specifically, as Figure 16 shown, a cylinder is constructed, and two reference points and are selected on a cross section of the cylinder, then a perpendicular bisector of the two reference points on the cross section is drawn, and a reference point is determined based on the perpendicular bisector. Since there are infinite perpendicular bisectors of the line connecting the two reference points, and the infinite perpendicular bisectors are located in the same plane, the third reference point can be on the surface of the cylinder or not on the surface of the cylinder. As a preferred embodiment, the three reference points are all on a horizontal cross section of the cylinder, and the three points divide the circle into three equal parts, and the angle between the reference points of the three valve leaflets is 120°, so as to construct three identical valve leaflets. Then, the intersection of the perpendicular bisector and the surface of the cylinder is obtained as a bottom fixed point That is, the bottom fixed point is located on the surface of the cylinder and on the perpendicular bisector of the first two reference points. As another preferred embodiment, the position of the bottom fixed point can be offset inside or outside the surface of the cylinder, such as at the position shown in Figure 16 or The bottom fixed point is parameterized at the position shown in the figure to control the sinusoidal curvature of the valve leaflet, thereby improving the flexibility of adjusting the shape of the valve leaflet.

[0141] It should be noted that the directions of the coordinate axes in the three-dimensional coordinate system XYZ referred to in the above embodiments can be freely adjusted, and the present application does not limit the directions of the coordinate axes in the three-dimensional coordinate system XYZ.

[0142] As shown in Figure 17 Corresponding to the aortic valve dynamic mathematical model parameterization modeling method described above, the present embodiment also provides an aortic valve dynamic mathematical model parameterization modeling device, which comprises:

[0143] The key point acquisition module 1710 is configured to determine three reference points based on a plane in a three-dimensional coordinate system, and obtain a bottom fixed point along the perpendicular bisector of a target line segment formed by two reference points, and the three reference points are used to form a planar triangle.

[0144] The switch motion curve construction module 1720 is configured to construct a Bezier curve based on the three reference points to obtain a switch motion curve.

[0145] The abdominal edge curve and attachment edge curve construction module 1730 is configured to construct an abdominal edge curve and an attachment edge curve based on the switch motion curve, the bottom fixed point, and / or the corresponding reference points of the target line segment, respectively.

[0146] The single-piece valve leaflet construction module 1740 is configured to construct a single-piece valve leaflet by taking the switch motion curve as a sweeping path and taking the abdominal edge curve and the attachment edge curve as sweeping curves.

[0147] The dynamic adjustment module 1750 is configured to adjust the midpoint on the switch motion curve and the straight line segment on which the reference points are located based on the single-piece valve leaflet and a plurality of control points, to obtain a single-piece valve leaflet that can dynamically change.

[0148] The dynamic model construction module 1760 is configured to repeat the steps of constructing the single-piece valve leaflet that can dynamically change based on the three reference points until three single-piece valve leaflets that can dynamically change are obtained, and to construct an aortic valve dynamic mathematical model using the three single-piece valve leaflets that can dynamically change.

[0149] ​Specifically, in this embodiment, the specific functions of the above-mentioned parametric modeling device for the dynamic mathematical model of the aortic valve can also refer to the corresponding description in the above-mentioned parametric modeling method for the dynamic mathematical model of the aortic valve, and will not be repeated here.

[0150] Based on the above embodiment, the present invention further provides a terminal, whose principle block diagram can be shown as follows: Figure 18 As shown. The terminal includes a processor, a memory, a network interface and a display screen connected via a system bus. The processor of the terminal is used to provide computing and control capabilities. The memory of the terminal includes a non-volatile storage medium and an internal memory. The non-volatile storage medium stores an operating system and a parametric modeling program for the dynamic mathematical model of the aortic valve. The internal memory provides an environment for the operation of the operating system and the parametric modeling program based on the dynamic mathematical model of the aortic valve in the non-volatile storage medium. The network interface of the terminal is used to communicate with an external terminal through a network connection. When the parametric modeling program for the dynamic mathematical model of the aortic valve is executed by the processor, the steps of any one of the above-mentioned parametric modeling methods for the dynamic mathematical model of the aortic valve are implemented. The display screen of the terminal can be a liquid crystal display or an electronic ink display.

[0151] Those skilled in the art will understand that Figure 18 The principle block diagram shown in the figure is only a block diagram of a partial structure related to the solution of the present invention, and does not constitute a limitation on the terminal to which the solution of the present invention is applied. The specific terminal may include more or fewer components than shown in the figure, or combine certain components, or have a different component arrangement.

[0152] In one embodiment, a terminal is provided, which includes a memory, a processor, and a parametric modeling program for the dynamic mathematical model of the aortic valve stored in the memory and runnable on the processor. When the parametric modeling program for the dynamic mathematical model of the aortic valve is executed by the processor, the steps of any one of the parametric modeling methods for the dynamic mathematical model of the aortic valve provided in an embodiment of the present invention are implemented.

[0153] An embodiment of the present invention also provides a computer-readable storage medium, on which a parametric modeling program for the dynamic mathematical model of the aortic valve is stored. When the parametric modeling program for the dynamic mathematical model of the aortic valve is executed by a processor, the steps of any one of the parametric modeling methods for the dynamic mathematical model of the aortic valve provided by an embodiment of the present invention are implemented.

[0154] It should be understood that the sequence numbers of the steps in the above embodiments do not imply a specific order of execution; the order of execution of each process should be determined by its function and internal logic, and should not constitute any limitation on the implementation process of the embodiments of the present invention.

[0155] Those skilled in the art can clearly understand that, for the convenience and brevity of description, only the above-mentioned division of each functional unit and module is exemplified, and in actual application, the above-mentioned functions can be completed by different functional units and modules according to needs, that is, the internal structure of the above-mentioned device is divided into different functional units or modules to complete all or part of the functions described above. Each functional unit and module in the embodiment can be integrated in one processing unit, or each unit can be physically present separately, or two or more units can be integrated in one unit. The above-mentioned integrated unit can be realized in the form of hardware or software. In addition, the specific names of each functional unit and module are only for easy distinction, and do not limit the protection scope of the present application. The specific working process of the unit and module in the above-mentioned system can refer to the corresponding process in the foregoing method embodiment, which will not be described here.

[0156] In the above embodiments, the description of each embodiment has its own emphasis, and the parts not described or recorded in detail in a certain embodiment can be referred to the related description of other embodiments.

[0157] Those of ordinary skill in the art can realize that the units and algorithm steps of each example described in combination with the embodiments disclosed herein can be realized in electronic hardware or a combination of computer software and electronic hardware. Whether the functions are performed in hardware or software depends on the specific application and design constraints of the technical solution. Professionals can use different ways to implement the described functions for each specific application, but such implementation should not be considered beyond the scope of the present application.

[0158] In the embodiments provided by the present application, it should be understood that the disclosed device / terminal equipment and method can be implemented by other ways. For example, the above-mentioned device / terminal equipment embodiments are only schematic, for example, the division of the above-mentioned modules or units is only a logical function division, and actual implementation can be in another division manner, for example, a plurality of units or components can be combined or integrated into another system, or some features can be ignored or not executed.

[0159] The above-mentioned embodiments are only used to illustrate the technical solutions of the present application, but not limit them; although the present application has been described in detail with reference to the foregoing embodiments, those of ordinary skill in the art should understand; the technical solutions recorded in the foregoing embodiments can be modified, or some technical features can be replaced by equivalents; and these modifications or replacements do not deviate from the spirit and scope of the corresponding technical solutions, and should be included in the protection scope of the present application.

Claims

1. An aortic valve dynamic mathematical model parameterized modeling method, characterized in that, The method comprises the following steps: Three reference points are determined based on a plane in a three-dimensional coordinate system, and a bottom fixed point is obtained along the direction of the median line of a target line segment formed by two of the reference points, and the three reference points form a planar triangle; A switch motion curve is constructed based on the three reference points; An abdominal edge curve is constructed based on the switch motion curve and the bottom fixed point, and an attachment edge curve is constructed based on the reference points corresponding to the target line segment; A single-leaf valve is constructed with the switch motion curve as a sweeping path and the abdominal edge curve and the attachment edge curve as sweeping curves; A dynamically changeable single-leaf valve is obtained by presetting a plurality of control points to control the straight line segments on which the midpoints of the switch motion curve and the reference points are located based on the single-leaf valve; The steps of constructing the dynamically changeable single-leaf valve are repeated with the three reference points as the reference until three dynamically changeable single-leaf valves are obtained, and a dynamic mathematical model of an aortic valve is constructed using the three dynamically changeable single-leaf valves; The switch motion curve is constructed based on the three reference points, and the switch motion curve comprises: The center of gravity of the planar triangle is obtained; A first vector is obtained with the center of gravity as the starting point and pointing to the midpoint of the line connecting the two reference points; A second vector is obtained with the center of gravity as the starting point and in the direction opposite to the direction of the Z axis; A vector end point is obtained based on the first vector and the second vector; A Bezier curve is constructed with the two reference points and the vector end point as control points to obtain the switch motion curve; The dynamically changeable single-leaf valve is obtained by presetting a plurality of control points to control the straight line segments on which the midpoints of the switch motion curve and the reference points are located based on the single-leaf valve, and the dynamically changeable single-leaf valve comprises: The midpoint of the switch motion curve is obtained based on the single-leaf valve, and two straight line segments intersecting at the midpoint of the switch motion curve are obtained based on the midpoint of the switch motion curve and the two reference points; A plurality of groups of control points are obtained by dividing the two straight line segments using a preset parameter; The switch motion curve is controlled by different groups of control points to obtain the dynamically changeable single-leaf valve.

2. The aortic valve dynamic mathematical model parameterization modeling method of claim 1, wherein, The abdominal edge curve is constructed based on the switch motion curve and the bottom fixed point, and the abdominal edge curve comprises: A third vector is obtained with the midpoint of the switch motion curve as the starting point and in the direction opposite to the direction of the Z axis; An abdominal edge key point is determined along the direction of the third vector according to a preset length with the midpoint of the switch motion curve as the starting point; A Bezier curve is constructed with the midpoint of the switch motion curve, the abdominal edge key point, and the bottom fixed point to obtain the abdominal edge curve.

3. The aortic valve dynamic mathematical model parameterization modeling method of claim 1, wherein, The attachment edge curve is constructed based on the reference points corresponding to the target line segment, and the attachment edge curve comprises: respectively, as the starting point, extend according to a preset length, a direction of the Z-axis as the reference direction, and the Y-axis and / or the X-axis as the angle change axis, to obtain an attached edge curve respectively.

4. The aortic valve dynamic mathematical model parameterization modeling method of claim 1, wherein, The single leaflet valve is constructed by taking the switch motion curve as the sweeping path and taking the belly edge curve and the attached edge curve as the sweeping curves. The single leaflet valve is constructed by taking the switch motion curve as the sweeping path, taking the two attached edge curves as the starting point and the ending point respectively, and sweeping and lofting the belly edge curve to control the single leaflet valve configuration.

5. The aortic valve dynamic mathematical model parameterization modeling method of claim 1, wherein, The three reference points are determined based on a plane in a three-dimensional coordinate system, and a bottom fixed point is obtained along a perpendicular bisector of a target line segment formed by two of the reference points. A cylinder is constructed, and two reference points are determined based on a cross section of the cylinder. A perpendicular bisector of the target line segment formed by the two reference points on the cross section is drawn, and a reference point is determined based on the perpendicular bisector. An intersection of the perpendicular bisector and the surface of the cylinder is determined to obtain a bottom fixed point.

6. An aortic valve dynamic mathematical model parameterized modeling device, characterized by, The aortic valve dynamic mathematical model parameterization modeling device is used to implement the steps of the aortic valve dynamic mathematical model parameterization modeling method in claims 1-5, and the aortic valve dynamic mathematical model parameterization modeling device comprises: A key point acquisition module is configured to determine three reference points based on a plane in a three-dimensional coordinate system, and obtain a bottom fixed point along a perpendicular bisector of a target line segment formed by two of the reference points, and the three reference points are used to form a plane triangle. A switch motion curve construction module is configured to construct a Bezier curve based on the three reference points to obtain a switch motion curve. A belly edge curve and an attached edge curve construction module is configured to construct a belly edge curve based on the switch motion curve and the bottom fixed point, and construct an attached edge curve based on the reference points corresponding to the target line segment. A single leaflet valve construction module is configured to construct a single leaflet valve by taking the switch motion curve as the sweeping path and taking the belly edge curve and the attached edge curve as the sweeping curves. A dynamic adjustment module is configured to adjust the midpoint on the switch motion curve and the straight line segment where the reference points are located based on the single leaflet valve by presetting a plurality of control points to obtain a single leaflet valve that can dynamically change. A dynamic model construction module is configured to repeat the steps of constructing the single leaflet valve that can dynamically change based on the three reference points until three single leaflet valves that can dynamically change are obtained, and construct an aortic valve dynamic mathematical model by using the three single leaflet valves that can dynamically change.

7. A terminal, characterized by comprising: The terminal comprises a memory, a processor, and an aortic valve dynamic mathematical model parameterization modeling program stored on the memory and executable on the processor, and the aortic valve dynamic mathematical model parameterization modeling program implements the steps of the aortic valve dynamic mathematical model parameterization modeling method in any one of claims 1-5 when executed by the processor.

8. A computer-readable storage medium, characterized in that, The computer readable storage medium stores an aortic valve dynamic mathematical model parameterization modeling program, and the aortic valve dynamic mathematical model parameterization modeling program, when executed by the processor, implements the steps of the aortic valve dynamic mathematical model parameterization modeling method according to any one of claims 1-5.

Citation Information

Patent Citations

  • Artificial aortic valve fluid-solid coupling model establishment method

    CN107092795A