Mass Distribution
Mass Distribution - Related Videos
15:18
Near Infrared Optical Projection Tomography for Assessments of β-cell Mass Distribution in Diabetes Research
0 Views •
Cited by 44 •
2013
We describe the adaptation of optical projection tomography (OPT)1 to imaging in the near infrared spectrum, and the implementation of a number of computational tools. These protocols enable assessments of pancreatic β-cell mass (BCM) in larger specimens, increase the multichannel capacity of the technique and increase the quality of OPT data.
16:59
Computer-assisted Large-scale Visualization and Quantification of Pancreatic Islet Mass, Size Distribution and Architecture
0 Views •
Cited by 14 •
2011
Novel computer-assisted methods of large-scale procurement and analysis of immunohistochemically stained pancreatic specimens are described: (1) Virtual Slice capture of the entire section; (2) Mass analysis of large-scale data; (3) Reconstruction of 2D Virtual Slices; (4) 3D islet mapping; and (5) Mathematical analysis.
01:19
F Distribution
0 Views •
2023
The F distribution was named after Sir Ronald Fisher, an English statistician. The F statistic is a ratio (a fraction) with two sets of degrees of freedom; one for the numerator and one for the denominator. The F distribution is derived from the Student's t distribution. The values of the F distribution are squares of the corresponding values of the t distribution. One-Way ANOVA expands the t test for comparing more than two groups. The scope of that derivation is beyond the level of this...
01:25
Drug Distribution: Volume of Distribution
0 Views •
2023
The volume of distribution refers to the theoretical volume necessary to contain the entire amount of an administered drug at the same concentration observed in the blood plasma. The body's intracellular fluid compartment, which makes up two-thirds of the total body water, is contrasted with the extracellular fluid compartment—comprising plasma and interstitial fluid—that accounts for one-third. The volume of distribution can vary depending on the characteristics of the drug.
07:09
Tandem Mass Spectrometry
0 Views •
2023
In tandem mass spectrometry a biomolecule of interest is isolated from a biological sample, and then fragmented into multiple subunits in order to help elucidate its composition and sequence. This is accomplished by having mass spectrometers in series. The first spectrometer ionizes a sample and filter ions of a specific mass to charge ratio. Filtered ions are then fragmented and passed to a second mass spectrometer where the fragments are analyzed. This video introduces the principles of...
FAQs
A density function assigns mass to each region of an object or system, rather than treating all locations as equivalent. Integrating that function over a length, area, or volume gives the total mass and supplies the weighted information needed for the center of mass and moments of inertia. The chosen integration region must match the object’s geometry.
Their mass may be located at different distances and positions relative to the axis or motion being considered. The moment of inertia captures this spatial arrangement, so identical total masses can have different rotational responses. This distinction helps explain why shape and internal structure matter when analyzing how objects rotate under applied forces.
The center of mass identifies the balance point associated with the overall placement of mass, while the moment of inertia describes how that mass is arranged for rotational motion. Both are obtained from the mass distribution, but they answer different physical questions. One supports balance and translational analysis; the other supports analysis of rotation.
Shape, internal structure, and the location of mass within the object all affect its response to forces and motion. A change in distribution can alter the center of mass, moment of inertia, or both, even when total mass remains unchanged. Consequently, stability, acceleration, and rotation may differ between objects with otherwise similar mass.
First, represent the arrangement of mass with an appropriate density function and specify the object’s length, area, or volume. Next, integrate the density over that region to obtain total mass. Related weighted integrations then determine the center of mass and moments of inertia, providing quantities needed for subsequent motion or rotational analysis.
It becomes important whenever forces, balance, rotation, collisions, gravitational interactions, or stability depend on where mass is located. A model that uses only total mass can miss these effects. Including the distribution allows researchers to connect an object’s geometry and internal structure with measurable or predicted motion in rigid-body and other physical systems.
Designers can analyze how placing mass within a system affects its center of mass, rotational behavior, and stability. Those calculations help relate structural choices to the system’s response to forces and motion. The same approach supports experimental setups by identifying how geometry and internal mass arrangement may influence observed dynamics, rather than treating mass as uniformly located.