Related Experiment Video
Updated: Jan 23, 2026
05:53
Mitochondrial Ca2+ Retention Capacity Assay and Ca2+-triggered Mitochondrial Swelling Assay
Published on: May 1, 2018
11.9K
Distortion-controlled isotropic swelling: numerical study of free boundary swelling patterns
Carlos M Duque1, Bryan Gin-Ge Chen, Christian D Santangelo
1Department of Physics, University of Massachusetts, Amherst, MA 01003, USA. csantang@physics.umass.edu.
Soft Matter
|June 6, 2019
Summary
Designing 3D shapes from flat sheets involves complex growth patterns. This study introduces an algorithm to find optimal growth patterns, suggesting fewer or shorter cuts yield better results for fabricating complex structures.
Area of Science:
- Materials Science
- Computational Mechanics
- Applied Mathematics
Background:
- Advanced fabrication techniques enable the design of flat sheets capable of self-folding into 3D structures through non-uniform growth.
- Theoretically, infinite growth patterns can generate a target shape, but experimental realization and optimality remain poorly understood.
Purpose of the Study:
- To determine the optimal isotropic growth patterns for fabricating a given target 3D shape.
- To develop a computational method for designing these optimal growth patterns.
Main Methods:
- A computational algorithm was developed to generate optimal growth patterns by introducing cuts into target surfaces.
- The algorithm prioritizes patterns with minimal or shortest cuts as indicators of optimality.
Main Results:
- The proposed algorithm identifies growth patterns that minimize cuts, correlating with better approximations of the target shape for finite thickness structures.
- Simulations on spherical surfaces validated the approach, revealing challenges for shapes with mixed Gaussian curvatures.
Conclusions:
- The number and length of cuts serve as effective metrics for optimizing growth patterns in self-folding structures.
- Further research is needed to address the fabrication of complex surfaces with varying Gaussian curvatures.
More Related Videos
Related Concept Videos
01:24Numerical Calculations
1.2K
In engineering applications, the representation of the numerical value is critical. Presenting or reporting the answer is one of the essential parts of engineering practices. Numerical calculations are performed using handheld calculators or computers since numerically accurate answers are always preferred.
The solution to a problem is obtained using different methods. While manually solving algebraic symbols is one of the most common methods, the graphical method is often preferred. Computers...
The solution to a problem is obtained using different methods. While manually solving algebraic symbols is one of the most common methods, the graphical method is often preferred. Computers...
1.2K
01:21Pilot and Numeric Relaying
485
Pilot relaying is a type of differential protection used in power systems. It compares electrical quantities at the terminals of equipment via a communication channel instead of direct relay interconnection. This method is essential for transmission lines where the terminals are far apart, typically up to 80 km for lines with 69 to 115 kV ratings. Four types of communication channels are used for pilot relaying:
485
01:26Areas Within Irregular Boundaries
348
Calculating areas within irregular boundaries, such as along rivers or curved roads, is crucial in various fields, including surveying, engineering, and environmental management. Surveyors often begin by creating a traverse, a connected series of straight lines approximating the area's boundary. The coordinates of each traverse point are essential for calculating the enclosed area. The double meridian distance formula is a widely used technique for this purpose. This method utilizes the...
348
01:23Types of Biopharmaceutical Studies: Controlled and Non-Controlled Approaches
416
Biopharmaceutical studies constitute a vital field aiming to enhance drug delivery methods and refine therapeutic approaches, drawing upon diverse interdisciplinary knowledge. In research methodologies, the choice between controlled and non-controlled studies significantly influences the study's reliability and accuracy.
Non-controlled studies, commonly employed for initial exploration, lack a control group, rendering them susceptible to biases and external influences. In contrast,...
Non-controlled studies, commonly employed for initial exploration, lack a control group, rendering them susceptible to biases and external influences. In contrast,...
416
00:59How Data are Classified: Numerical Data
37.0K
Data that are countable or measurable in specific units are called numerical or quantitative data. Quantitative data are always numbers. Quantitative data are the result of counting or measuring the attributes of a population. Amount of money, pulse rate, weight, number of people living in a town, and number of students who opt for statistics are examples of quantitative data.
Quantitative data may be either discrete or continuous. All quantitative data that take on only specific numerical...
Quantitative data may be either discrete or continuous. All quantitative data that take on only specific numerical...
37.0K
01:02¹H NMR: Interpreting Distorted and Overlapping Signals
1.5K
Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...
1.5K