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Related Concept Videos

Cooperative Allosteric Transitions01:58

Cooperative Allosteric Transitions

Cooperative allosteric transitions can occur in multimeric proteins, where each subunit of the protein has its own ligand-binding site. When a ligand binds to any of these subunits, it triggers a conformational change that affects the binding sites in the other subunits; this can change the affinity of the other sites for their respective ligands. The ability of the protein to change the shape of its binding site is attributed to the presence of a mix of flexible and stable segments in the...
Cooperative Allosteric Transitions01:58

Cooperative Allosteric Transitions

Cooperative allosteric transitions can occur in multimeric proteins, where each subunit of the protein has its own ligand-binding site. When a ligand binds to any of these subunits, it triggers a conformational change that affects the binding sites in the other subunits; this can change the affinity of the other sites for their respective ligands. The ability of the protein to change the shape of its binding site is attributed to the presence of a mix of flexible and stable segments in the...
Cooperative Allosteric Transitions01:58

Cooperative Allosteric Transitions

Cooperative allosteric transitions can occur in multimeric proteins, where each subunit of the protein has its own ligand-binding site. When a ligand binds to any of these subunits, it triggers a conformational change that affects the binding sites in the other subunits; this can change the affinity of the other sites for their respective ligands. The ability of the protein to change the shape of its binding site is attributed to the presence of a mix of flexible and stable segments in the...
Oscillations about an Equilibrium Position01:04

Oscillations about an Equilibrium Position

Stability is an important concept in oscillation. If an equilibrium point is stable, a slight disturbance of an object that is initially at the stable equilibrium point will cause the object to oscillate around that point. For an unstable equilibrium point, if the object is disturbed slightly, it will not return to the equilibrium point. There are three conditions for equilibrium points—stable, unstable, and half-stable. A half-stable equilibrium point is also unstable, but is named so because...
Damped Oscillations01:07

Damped Oscillations

In the real world, oscillations seldom follow true simple harmonic motion. A system that continues its motion indefinitely without losing its amplitude is termed undamped. However, friction of some sort usually dampens the motion, so it fades away or needs more force to continue. For example, a guitar string stops oscillating a few seconds after being plucked. Similarly, one must continually push a swing to keep a child swinging on a playground.
Although friction and other non-conservative...
Restarting Stalled Replication Forks02:37

Restarting Stalled Replication Forks

DNA replication is initiated at sites containing predefined DNA sequences known as origins of replication. DNA is unwound at these sites by the minichromosome maintenance (MCM) helicase and other factors such as Cdc45 and the associated GINS complex.The unwound single strands are protected by replication protein A (RPA) until DNA polymerase starts synthesizing DNA at the 5’ end of the strand in the same direction as the replication fork. To prevent the replication fork from falling apart, a...

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Mixed-mode oscillations in a self-replicating dimerization mechanism.

E Peacock-López1, D B Radov, C S Flesner

  • 1Department of Chemistry, Williams College, Williamstown, MA 01267, USA.

Biophysical Chemistry
|April 22, 1997
PubMed
Summary

Researchers explored a three-variable model of self-replicating molecules, inspired by Rebek's work. The study revealed complex dynamics, including chaotic oscillations and the coexistence of multiple attractors, advancing our understanding of molecular self-replication.

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Area of Science:

  • Chemistry
  • Chemical Kinetics
  • Systems Chemistry

Background:

  • Self-replicating molecules are fundamental to life.
  • Laboratory synthesis of self-replicating molecules has been achieved.
  • Understanding the dynamics of self-replication is crucial for origin-of-life studies.

Purpose of the Study:

  • To investigate the dynamic behavior of a simplified three-variable model for self-replicating molecules.
  • To explore the potential for complex oscillations and attractor coexistence in such systems.
  • To contribute to the theoretical understanding of molecular self-replication.

Main Methods:

  • Development of a three-variable mathematical model for a self-replicating dimer.
  • Numerical analysis to identify system dynamics.
  • Investigation of oscillatory behaviors and attractor states.

Main Results:

  • The model exhibits mixed-mode oscillations, indicating complex dynamic behavior.
  • Chaotic oscillations were observed within the model's parameter space.
  • Coexistence of multiple attractors, including two periodic and one chaotic attractor, was identified.

Conclusions:

  • The three-variable model demonstrates rich and complex dynamics relevant to self-replication.
  • The findings suggest that simple molecular systems can exhibit sophisticated behaviors like chaos and multiple stable states.
  • This work provides theoretical insights into the potential complexity achievable by self-replicating chemical systems.