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Related Concept Videos

Dimensional Analysis03:40

Dimensional Analysis

64.8K
Dimensional analysis, also known as the factor label method, is a versatile approach for mathematical operations. The main principle behind this approach is: the units of quantities must be subjected to the same mathematical operations as their associated numbers. This method can be applied to computations ranging from simple unit conversions to more complex and multi-step calculations involving several different quantities and their units.
Conversion Factors and Dimensional Analysis
The unit...
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Dimensional Analysis01:27

Dimensional Analysis

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Dimensional analysis is a valuable technique in fluid mechanics for simplifying complex problems by reducing them into dimensionless groups. These groups capture the essential relationships between the variables involved, allowing researchers and engineers to analyze fluid flow without dealing with each variable individually. This approach reduces the number of independent variables, allowing for easier analysis and better understanding of physical phenomena.
In fluid mechanics, dimensional...
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Dimensional Analysis01:23

Dimensional Analysis

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Dimensional analysis is a powerful tool that is used in physics and engineering to understand and predict the behavior of physical systems. The basic idea behind dimensional analysis is to express physical quantities in terms of fundamental dimensions such as the mass, length, and time. Derived dimensions like the velocity, acceleration, and force are derived from the combinations of these fundamental dimensions.
Dimensional analysis allows us to analyze and compare physical quantities on a...
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Dimensional Analysis02:19

Dimensional Analysis

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The concept of dimension is important because every mathematical equation linking physical quantities must be dimensionally consistent, implying that mathematical equations must meet the following two rules. The first rule is that, in an equation, the expressions on each side of the equal sign must have the same dimensions. This is fairly intuitive since we can only add or subtract quantities of the same type (dimension). The second rule states that, in an equation, the arguments of any of the...
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Problem Solving: Dimensional Analysis01:08

Problem Solving: Dimensional Analysis

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Every mathematical equation that connects separate distinct physical quantities must be dimensionally consistent, which implies it must abide by two rules. For this reason, the concept of dimension is crucial. The first rule is that an equation's expressions on either side of an equality must have the exact same dimension, i.e., quantities of the same dimension can be added or removed. The second rule stipulates that all popular mathematical functions, such as exponential, logarithmic, and...
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Three-dimensional strain analysis is crucial for understanding how materials deform under stress, particularly in elastic, homogeneous materials. This method employs principal stress axes to simplify complex stress states into more understandable forms. Subjected to stress, a small cubic element within a material either expands or contracts along these axes, transforming into a rectangular parallelepiped. This transformation effectively illustrates the material's deformation. The principal...
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Application of End-to-end Anastomosis in Robotic Central Pancreatectomy
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[POTENTIAL FOR THREE-DIMENSIONAL ANALYSIS UTILIZATION IN PANCREATECTOMY].

Yasuji Seyama

    Nihon Geka Gakkai Zasshi
    |September 4, 2018
    PubMed
    Summary

    Three-dimensional (3D) printed pancreas models enable preoperative simulation and intraoperative navigation for complex pancreatic surgeries, especially in laparoscopic procedures and cases with vascular anomalies.

    Area of Science:

    • Surgical Technology
    • Medical Imaging
    • 3D Printing in Medicine

    Background:

    • Three-dimensional (3D) analysis is crucial for liver surgery but underdeveloped for pancreatic surgery.
    • Complex pancreatic anatomy and vascular variations pose surgical challenges.

    Purpose of the Study:

    • To develop and evaluate the utility of 3D printed pancreas models for surgical planning and navigation.
    • To assess the application of 3D models in complex pancreatic resections, including laparoscopic procedures and cases with vascular anomalies.

    Main Methods:

    • Reconstruction of preoperative computed tomography (CT) images into 3D configurations of the pancreas, including tumors and surrounding vasculature.
    • Creation of detailed, color-coded 3D printed pancreas models using soft resin.

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  • Utilizing 3D models for preoperative surgical simulation and intraoperative navigation during pancreatic surgery.

    • Main Results:

    • 3D printed models accurately represented pancreatic parenchyma, ducts, tumors, and major vascular structures.
    • Models were successfully used for preoperative planning and intraoperative guidance in laparoscopic distal pancreatectomy and pancreatoduodenectomy.
    • The technique proved particularly beneficial in cases with hepatic artery anomalies, such as a replaced right hepatic artery.

    Conclusions:

    • 3D analysis and 3D printed pancreas models offer valuable preoperative simulation and intraoperative navigation for pancreatic surgery.
    • This technology enhances surgical planning and execution, especially for laparoscopic pancreatic resections and anatomically complex cases involving vascular variations.