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Related Concept Videos

Stress: General Loading Conditions01:15

Stress: General Loading Conditions

378
To grasp the intricacy of real-world conditions where multiple loads are applied simultaneously to a structure, one might visualize a section passing through a specific point within a body, aligned parallel to the xy plane. This section is subjected to various forces, including original loads, normal forces, and shearing forces.
The shearing force, possessing potential directionality within the plane of the section, is simplified into two component forces running parallel to the x and y axes....
378
Components of Stress01:23

Components of Stress

277
Stress analysis under multiple loading conditions is intricate, necessitating a comprehensive grasp of normal and shearing stresses. Consider a small cube at point O, subjected to stress on all six faces, visible or not. Normal stress components σx, σy, σz act perpendicularly to the x, y, and z axes. Shearing stress components τxy and τxz are exerted on faces perpendicular to these axes.
Interestingly, the hidden cube faces also experience these stresses, equal and...
277
Stress Concentrations01:24

Stress Concentrations

374
Stress concentration is when stress intensifies near discontinuities such as holes or abrupt cross-sectional changes in a structural member. This localized stress can often surpass the average stress within the member. The stress distribution in flat bars, either with a circular hole or varying widths connected by fillets, can be determined experimentally using a photoelastic method. The results are based on ratios of geometric parameters like the ratio of the hole's radius to the smaller...
374
Applications of Stress01:04

Applications of Stress

403
Consider a structure made of a boom and a rod designed to support a load. These two components are connected by a pin and stabilized by brackets and pins. The boom and the rod are detached from their supports to assess the different stresses imposed on this structure, and a free-body diagram is drawn. Then, all the forces applied, including the load acting on the structure, are identified. The reaction forces exerted on both the boom and the rod are computed using the equilibrium equations.
The...
403
Stresses under Combined Loadings01:23

Stresses under Combined Loadings

227
When analyzing a bent tube with a circular cross-section subjected to multiple forces, it is crucial to determine the stress distribution in order to maintain structural integrity under varied load conditions.
The process begins by slicing the tube at critical points and analyzing the internal forces and stress components at these sections, focusing on the centroid. Normal stresses, generated by axial forces and bending moments, are either compressive or tensile and vary across the section from...
227
Stress-Strain Diagram01:10

Stress-Strain Diagram

837
A stress-strain diagram is a crucial tool that graphically displays a material's mechanical characteristics. This diagram is derived from a tensile test performed on a carefully prepared cylindrical specimen. The specimen has two gauge marks inscribed on its central part, and the distance between these marks is known as the gauge length. The cylindrical specimen is placed in a testing machine, which applies an increasing centric load. As this load grows, so does the gauge length. This...
837

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Related Experiment Video

Updated: Sep 13, 2025

Subject-specific Musculoskeletal Model for Studying Bone Strain During Dynamic Motion
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Mathematical modelling reveals compound-specific stress pathway activity.

Elsje J Burgers1, Tamara Y Danilyuk1, Raju P Sharma1

  • 1Division of Cell Systems and Drug Safety, Leiden Academic Centre for Drug Research, Leiden University, The Netherlands.

Toxicology
|August 1, 2025
PubMed
Summary
This summary is machine-generated.

Developing a mathematical model for drug-induced liver injury (DILI) reveals how cellular stress pathways respond to toxic compounds. This model aids in predicting DILI risk during drug development.

Keywords:
DILIIntegrated stress responseMathematical modellingOxidative stress response

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Area of Science:

  • Toxicology
  • Computational Biology
  • Pharmacology

Background:

  • Drug-induced liver injury (DILI) poses significant challenges in pharmaceutical development.
  • Cellular stress pathway activation is a key indicator of potential DILI.
  • Understanding these pathways is crucial for predicting drug toxicity.

Purpose of the Study:

  • To develop a mathematical model simulating cellular stress responses to DILI-inducing compounds.
  • To investigate the stress responses invoked by nitrofurantoin, diclofenac, and ketoconazole.
  • To analyze the differences in transcription factor interactions within conserved stress pathways.

Main Methods:

  • Utilized imaging data from HepG2 cells.
  • Measured cell-associated compound levels and intracellular glutathione.
  • Developed and recalibrated a mathematical model for integrated and oxidative stress responses.

Main Results:

  • A mathematical model was successfully developed and applied to three DILI-liable compounds.
  • Model parameters required recalibration for different compounds, but the core structure remained consistent.
  • Analysis revealed varying magnitudes of transcription factor interactions despite activation of similar pathways.

Conclusions:

  • The developed mathematical model provides a framework for understanding DILI mechanisms.
  • Cellular stress responses to DILI compounds can be quantitatively modeled.
  • Differences in pathway interaction magnitudes highlight compound-specific toxicity profiles.