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Intravascular contrast agent diffusion simulation method

A simulation method and contrast agent technology, applied in the field of computer simulation modeling and virtual surgery, can solve the problems of huge computational overhead, ignoring the interactive motion of blood and contrast agent, and unable to represent the boundary smoothly, so as to improve efficiency and be easy to handle. , the effect of reducing boundary sampling noise

Pending Publication Date: 2022-05-13
SHANGHAI UNIV
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Problems solved by technology

[0004] Most of the existing contrast agent diffusion simulation methods use simple convection-diffusion equations to simulate the diffusion of contrast agents in the blood flow, ignoring the interactive motion between blood and contrast agents
In addition, existing methods use particle-based methods to sample boundaries when dealing with vascular boundary problems. This type of method cannot represent various types of boundaries smoothly, thus introducing unnecessary friction. Previously, it took a lot of time and memory to build boundary particles, and it also spent huge computational overhead in the process of neighbor search and force solution during simulation.

Method used

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  • Intravascular contrast agent diffusion simulation method
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  • Intravascular contrast agent diffusion simulation method

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Experimental program
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Embodiment 1

[0054] see figure 1 , a method for simulating intravascular contrast agent diffusion, comprising the following steps:

[0055] Step 1: Use the continuous implicit boundary method to represent the vessel wall, and use the cubic polynomial in the sparse grid to discretely calculate the boundary volume contribution of various places in the vessel in advance, and store it in the boundary volume map; specifically include:

[0056] 1-1: Use the signed distance function to represent the vascular boundary, that is, the signed distance value of any point x in the limited space is equal to the minimum distance from x to the boundary, and it is negative if it is within the boundary, and positive if it is located in the fluid domain. Therefore, the vascular boundary The signed distance function of can be expressed by the following formula:

[0057]

[0058] 1-2: Discretize the signed distance function on a regular hexahedral grid using a contingency type cubic polynomial with 32 nodes, ...

Embodiment 2

[0113] 3-3 in step 3 needs to calculate the interpolation density of each "blood-contrast agent" mixed particle. When the particle is close to the boundary, the density calculation area of ​​the particle is composed of the fluid domain and the boundary domain, such as figure 2 shown. The fluid domain includes particles x i Neighboring fluid particles in the smooth radius domain, these neighbor particles are weighted by a distance-based smoothing kernel function to calculate the particle x i attribute value. The boundary domain is the particle x i The intersection area of ​​the smooth radius domain and the boundary, the volume V of the intersection area B The value can be passed to the particle x i The location of is obtained by querying the bounding volume map. The density of the mixed particles can be calculated by the following formula:

[0114]

[0115] Among them, κ is the gas state constant, V B is the boundary density contribution obtained by particle i, x* is...

Embodiment 3

[0117] In the calculation of the friction force of 3-4 in the step 3, the friction force f of the boundary to the fluid particle r Modeled as a viscous force to handle energy dissipation near boundaries. Such as image 3 As shown, define two orthogonal vectors t perpendicular to the normal vector on the tangent plane of the boundary surface 1 and t 2 , and then define four points x on the plane 1 / 2 =x*±dt 1 and x 3 / 4 =x*±dt 2 , set the distance d=0.5h, the boundary friction force can be defined as the following formula:

[0118]

[0119] Among them, s is the spatial dimension, set to 3, V j =0.25V B , the velocity v at the four points j It can be obtained by the following formula:

[0120] v j =v rb +ω rb ×(x j -x rb )

[0121] where x rb , v rb and ω rb are the center point position, velocity and angular velocity of the vessel boundary, respectively.

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Abstract

The invention provides an intravascular contrast agent diffusion simulation method. An implicit boundary representation method and a two-phase mixed fluid model are used for simulating diffusion movement of a contrast agent in various complex blood vessels. The method comprises the following three steps: firstly, generating a boundary volume diagram for a blood vessel boundary; then initializing simulation parameters, initializing attributes and positions of'blood-contrast agent 'mixed particles, and loading a boundary volume diagram; and finally, performing simulation circulation, calculating the density and stress of the'blood-contrast agent 'mixed particles at each moment, updating the speed and position of the'blood-contrast agent' mixed particles, and performing rendering. According to the method, the diffusion effect of the contrast agent in various complex blood vessels can be truly simulated in real time, the problems of reality sense and immersion sense in a virtual contrast operation are solved, repeatability is good, and material waste is avoided.

Description

technical field [0001] The invention relates to the field of computer simulation modeling and virtual surgery, in particular to a method for simulating the diffusion of intravascular contrast agent. Background technique [0002] Cardiovascular disease is the number one cause of death in the world, accounting for more than 40% of global residents' disease deaths, and is the disease that causes the highest number of deaths in the world. [0003] Vascular interventional therapy is the first choice for the treatment of cardiovascular diseases due to its advantages of less trauma, faster recovery, and high success rate of treatment. Angiography is an important part of vascular interventional therapy. It is used to obtain medical images of blood vessels in real time, guide doctors to send catheters to coronary artery openings, and determine the location of tumors and surrounding vascular stenosis. However, vascular interventional surgery has high requirements on the operation of ...

Claims

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Application Information

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IPC IPC(8): G06T11/00G06T15/00G06T15/04G16H20/40G16H50/50
CPCG06T11/003G06T15/005G06T15/04G16H20/40G16H50/50G06T2210/56
Inventor 黄东晋周舒华刘传蔓刘金华唐鹏斌
Owner SHANGHAI UNIV
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