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Related Concept Videos

Polymers: Molecular Weight Distribution01:10

Polymers: Molecular Weight Distribution

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For any given polymer, the weight average molecular weight (Mw) is higher than, if not equal to, the number average molecular weight (Mn). The only situation in which the weight average molecular weight and the number average molecular weight are equal is when a polymer consists only of chains with equal molecular weight. However, this never happens in a synthetic polymer, since it is difficult to control the polymerization process up to a molecular level with accuracy to a hundred percent.
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Ziegler–Natta Chain-Growth Polymerization: Overview01:17

Ziegler–Natta Chain-Growth Polymerization: Overview

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Ziegler–Natta polymerization is another form of addition or chain‐growth polymerization used for synthesizing linear polymers over branched polymers. The catalyst used for polymerization is the Ziegler–Natta catalyst, named after Karl Ziegler and Giulio Natta, who developed it in 1953. This catalyst is an organometallic complex of titanium tetrachloride and triethyl aluminum, with the active form of the catalyst being an alkyl titanium compound. Using the Ziegler–Natta...
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Step-Growth Polymerization: Overview01:03

Step-Growth Polymerization: Overview

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Step-growth or condensation polymerization is a stepwise reaction of bi or multifunctional monomers to form long-chain polymers. As all the monomers are reactive, most of the monomers are consumed at the early stages of the reaction to form small chains of reactive oligomers, which then combine to form long polymer chains in the late stages. Hence, the reaction has to proceed for a long time to achieve high molecular weight polymers.
Many natural and synthetic polymers are produced by...
4.8K
Anionic Chain-Growth Polymerization: Overview01:20

Anionic Chain-Growth Polymerization: Overview

2.8K
The polymerization process that involves carbanion as an intermediate is called anionic polymerization. It is also a type of addition or chain-growth polymerization. Anionic polymerization gets initiated by a strong nucleophile such as an organolithium or a Grignard reagent. The most commonly used initiator for anionic polymerization is butyl lithium. Monomers involved in anionic polymerization must possess a vinyl group bonded to one or two electron-withdrawing groups. For instance,...
2.8K
Anionic Chain-Growth Polymerization: Mechanism01:04

Anionic Chain-Growth Polymerization: Mechanism

2.6K
The mechanism for anionic chain-growth polymerization involves initiation, propagation, and termination steps. In the initiation step, a nucleophilic anion, such as butyl lithium, initiates the polymerization process by attacking the π bond of the vinylic monomer. As a result, a carbanion, stabilized by the electron‐withdrawing group, is generated. The resulting carbanion acts as a Michael donor in the propagation step and attacks the second vinylic monomer, which acts as a Michael...
2.6K
Cationic Chain-Growth Polymerization: Mechanism00:57

Cationic Chain-Growth Polymerization: Mechanism

3.1K
The cationic polymerization mechanism consists of three steps: initiation, propagation, and termination. In the initiation step of the polymerization process, the π bond of a monomer gets protonated by the Lewis acid catalyst, which is formed from boron trifluoride and water. The protonation of the π bond generates a carbocation stabilized by the electron‐donating group. In the propagation step, the π bond of the second monomer acts as a nucleophile and attacks the...
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Related Experiment Video

Updated: Apr 11, 2026

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
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Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level

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Information content in data sets for a nucleated-polymerization model.

H T Banks1, Marie Doumic, Carola Kruse

  • 1a Center for Research in Scientific Computation , North Carolina State University , Raleigh , NC 27695-8212 , USA.

Journal of Biological Dynamics
|June 6, 2015
PubMed
Summary
This summary is machine-generated.

Statistical tools and sensitivity analysis help determine data information content for protein aggregation models. Current data best estimates early aggregation steps with uncertainty.

Keywords:
49Q1262P1064B1065M32information contentinverse problemspolyglutamine and aggregation modellingsensitivityuncertainty quantification

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Area of Science:

  • Biophysics
  • Statistical Modeling
  • Computational Biology

Background:

  • Amyloid fibril formation is crucial in protein aggregation diseases.
  • Mechanisms of protein aggregation, particularly nucleated polymerization, remain poorly understood.
  • Accurate kinetic models are needed to study these complex processes.

Purpose of the Study:

  • To develop and illustrate statistical methodologies for assessing data information content.
  • To apply these methods to recent kinetic models of amyloid fibril formation.
  • To guide experimentalists in analyzing data from protein aggregation studies.

Main Methods:

  • Utilizing asymptotic theories for standard error quantification.
  • Employing bootstrapping techniques for robust statistical inference.
  • Applying model comparison techniques and sensitivity analysis.
  • Integrating these tools with kinetic models of protein aggregation.

Main Results:

  • The developed statistical framework quantifies information content in experimental data.
  • Sensitivity analysis reveals limitations in parameter estimation for complex models.
  • Data sets analyzed provide reliable estimates primarily for early-stage aggregation parameters.

Conclusions:

  • The proposed methodology enhances the understanding of data utility in studying protein aggregation.
  • Experimental data currently supports robust estimation of early aggregation steps with quantifiable uncertainty.
  • Further data or refined models may be needed to elucidate later stages of the aggregation process.