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Amyloid Fibrils03:03

Amyloid Fibrils

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Amyloid fibrils are aggregates of misfolded proteins.  Under most circumstances, misfolded proteins are either refolded by chaperone proteins or degraded by the proteasome. However, in the case of a mutation or a disease, these proteins can accumulate to form large clusters and often further assemble to form elongated fibers, called fibrils. 
Amyloid deposits were observed as early as 1639 in the liver and the spleen.   In 1854, Rudolph Virchow performed iodine staining,...
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Related Experiment Video

Updated: Dec 29, 2025

Investigating the Spreading and Toxicity of Prion-like Proteins Using the Metazoan Model Organism C. elegans
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Investigating the Spreading and Toxicity of Prion-like Proteins Using the Metazoan Model Organism C. elegans

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How and why to build a mathematical model: A case study using prion aggregation.

Mikahl Banwarth-Kuhn1, Suzanne Sindi2

  • 1Department of Applied Mathematics, School of Natural Sciences, University of California, Merced, California 95343.

The Journal of Biological Chemistry
|February 2, 2020
PubMed
Summary
This summary is machine-generated.

This guide helps researchers integrate mathematical modeling into biology by using conceptual diagrams to simplify complex systems. This approach connects in vitro and in vivo studies, advancing biological understanding through synergistic experimentation and modeling.

Keywords:
computational biologydifferential equationenzyme kineticslaw of mass actionmathematical methodsmathematical modelingnumerical analysisprion diseaseprotein aggregation

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Related Experiment Videos

Last Updated: Dec 29, 2025

Investigating the Spreading and Toxicity of Prion-like Proteins Using the Metazoan Model Organism C. elegans
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Area of Science:

  • Systems biology
  • Computational biology
  • Biophysics

Background:

  • Biological systems exhibit increasing complexity with advanced experimental techniques.
  • Mathematical models offer rigorous analysis and hypothesis generation for biological research.
  • Bridging the gap between mathematical and biological domains is crucial for effective modeling.

Purpose of the Study:

  • To provide a guide for researchers incorporating mathematical modeling into their scientific process.
  • To advocate for conceptual diagrams as a foundational tool for developing biological models.
  • To demonstrate the synergistic potential of mathematical models and experiments in advancing biological understanding.

Main Methods:

  • Utilizing conceptual diagrams to simplify biological processes and identify essential components.
  • Developing mathematical models based on scientific questions and biological insights.
  • Analyzing model selection based on biological scales and data availability.
  • Illustrating the process with a case study on prion aggregation.

Main Results:

  • Conceptual diagrams effectively anchor researchers from both mathematical and biological fields.
  • Mathematical models, guided by conceptual diagrams, can powerfully integrate with experimental data.
  • The chosen modeling approach significantly impacts the ability to connect different scales of biological organization.

Conclusions:

  • Mathematical modeling, when guided by conceptual diagrams, is a powerful tool for dissecting biological complexity.
  • Collaboration between experimentalists and modelers is essential for future advancements in biological sciences.
  • This approach facilitates the connection of in vitro findings with in vivo and whole-organism studies.