Vertical Stretching
Vertical Stretching - Related Videos
07:42
Live Cell Imaging during Mechanical Stretch
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Cited by 12 •
2015
A novel imaging protocol was developed using a custom motor-driven mechanical actuator to allow the measurement of real time responses to mechanical strain in live cells. Relevant to mechanobiology, the system can apply strains up to 20% while allowing near real-time imaging with confocal or atomic force microscopy.
16:46
A Novel Stretching Platform for Applications in Cell and Tissue Mechanobiology
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Cited by 6 •
2014
We present in this article a novel stretching platform that can be used to investigate single cell responses to complex anisotropic biaxial mechanical deformation and quantify the mechanical properties of biological tissues.
11:46
Axon Stretch Growth: The Mechanotransduction of Neuronal Growth
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Cited by 30 •
2011
A unique tissue engineering method was developed to elongate numerous nerve fibers in culture by recapitulating axon stretch growth; a form of nervous system growth whereby nerves elongate in conjunction with growth of the enlarging body.
09:41
Stretching Micropatterned Cells on a PDMS Membrane
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Cited by 6 •
2014
This manuscript presents a technique to apply or release forces on adherent cells or tissues using unidirectional stretching.
01:23
Vertical Curve: Problem Solving
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2025
Vertical curves provide the transition between two roadway grades, ensuring safety, comfort, and functionality. Calculating elevations at specific stations along the curve involves several systematic steps based on the curve's geometry and provided design parameters.The vertical curve is defined by its length, grades, Point of Vertical Intersection (P.V.I.) location, and P.V.I. elevation. The stations of the Point of Vertical Curvature (P.V.C.), where the curve begins, and the Point of Vertical...
FAQs
An x-intercept has a y-value of zero, so multiplying that output by a constant still gives zero: a·0 = 0. Consequently, any input where f(x) equals zero remains an input where af(x) equals zero. Other points shift vertically according to their original output, while the locations of the intercepts on the x-axis stay fixed.
The multiplier increases the magnitude of every nonzero output. A positive y-value becomes a larger positive value, moving the point farther above the x-axis, while a negative y-value becomes more negative, moving it farther below the axis. The direction of each point relative to the x-axis remains the same, but its vertical distance increases.
The constant a determines how strongly the graph is stretched. When a is greater than 1, each output is multiplied by that same factor, so a point with output y moves to an output of ay. Larger values of a produce greater vertical distances from the x-axis, allowing equations within the same function family to be compared.
Start with selected points or output values from the original graph y = f(x). Keep every x-coordinate unchanged, multiply each corresponding y-value by a, and plot the resulting points. Connecting those points according to the original graph produces y = af(x). Checking the x-intercepts helps confirm that the transformation was applied consistently.
Compare corresponding outputs at the same input values. If the second function consistently multiplies those outputs by the same constant greater than 1, it can be represented in the form y = af(x). The unchanged x-coordinates and fixed x-intercepts provide additional graphical evidence that the difference comes from vertical stretching rather than a change in horizontal position.
It is useful when a model must represent amplified magnitudes while preserving the same input values. The transformation lets students compare related functions, examine how output size changes, and connect an equation with its graph. In applications, it can describe situations where measured quantities become larger in magnitude without changing the corresponding x-values.