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Related Concept Videos

Catalysis01:27

Catalysis

Catalysis influences the rate of chemical reactions by providing an alternative reaction pathway with lower activation energy. A catalyst speeds up a reaction, but it is not consumed during the process. The fundamental principle of catalysis is the ability of a catalyst to alter the reaction mechanism, often introducing a more efficient pathway than the uncatalyzed process.In a catalyzed reaction, the catalyst participates directly in the reaction mechanism. It interacts with reactants to form...
Catalysis02:50

Catalysis

The presence of a catalyst affects the rate of a chemical reaction. A catalyst is a substance that can increase the reaction rate without being consumed during the process. A basic comprehension of a catalysts’ role during chemical reactions can be understood from the concept of reaction mechanisms and energy diagrams.
Introduction to Mechanisms of Enzyme Catalysis01:13

Introduction to Mechanisms of Enzyme Catalysis

For many years, scientists thought that enzyme-substrate binding took place in a simple "lock-and-key" fashion. This model stated that the enzyme and substrate fit together perfectly in one instantaneous step. However, current research supports a more refined view scientists call induced fit. The induced-fit model expands upon the lock-and-key model by describing a more dynamic interaction between enzyme and substrate. As the enzyme and substrate come together, their interaction causes a mild...
Introduction to Mechanisms of Enzyme Catalysis01:13

Introduction to Mechanisms of Enzyme Catalysis

For many years, scientists thought that enzyme-substrate binding took place in a simple "lock-and-key" fashion. This model stated that the enzyme and substrate fit together perfectly in one instantaneous step. However, current research supports a more refined view scientists call induced fit. The induced-fit model expands upon the lock-and-key model by describing a more dynamic interaction between enzyme and substrate. As the enzyme and substrate come together, their interaction causes a mild...
Catalytically Perfect Enzymes01:07

Catalytically Perfect Enzymes

The theory of catalytically perfect enzymes was first proposed by W.J. Albery and J. R. Knowles in 1976. These enzymes catalyze biochemical reactions at high-speed. Their catalytic efficiency values range from 108-109 M-1s-1. These enzymes are also called 'diffusion-controlled' as the only rate-limiting step in the catalysis is that of the substrate diffusion into the active site. Examples include triose phosphate isomerase, fumarase, and superoxide dismutase.
Heterogeneous Catalysis01:22

Heterogeneous Catalysis

Heterogeneous catalysis involves a catalyst in a different phase from the reactants. It is a process where the catalyst and the reactants are in distinct phases, typically solid and gas or liquid.Most heterogeneous catalysts are metals, metal oxides, or acids. The list includes transition metals like iron (Fe), cobalt (Co), nickel (Ni), palladium (Pd), platinum (Pt), chromium (Cr), manganese (Mn), tungsten (W), silver (Ag), and copper (Cu). These metals possess partially vacant d orbitals that...

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Construction of Out-of-Equilibrium Metabolic Networks in Nano- and Micrometer-Sized Vesicles
10:56

Construction of Out-of-Equilibrium Metabolic Networks in Nano- and Micrometer-Sized Vesicles

Published on: April 12, 2024

Minimal autocatalytic networks.

Mike Steel1, Wim Hordijk, Joshua Smith

  • 1Biomathematics Research Centre, University of Canterbury, Private Bag 4800, Christchurch, New Zealand. mathmomike@gmail.com

Journal of Theoretical Biology
|May 8, 2013
PubMed
Summary
This summary is machine-generated.

Small autocatalytic chemical networks, essential for early life, are unlikely to be present at the critical transition point where they first emerge. This study proves finding the smallest reaction-diffusion autocatalytic (RAF) network is NP-hard, but identifies smaller, irreducible RAFs (irrRAFs).

Keywords:
Catalytic reaction systemOrigin of lifeRandom autocatalytic network

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Area of Science:

  • Origin of Life Studies
  • Theoretical Chemistry
  • Systems Chemistry

Background:

  • Self-sustaining autocatalytic chemical networks are crucial for understanding the emergence of early life.
  • Reaction-diffusion autocatalytic (RAF) theory provides a framework for investigating these networks.
  • Previous research has explored the likelihood of RAF network formation.

Purpose of the Study:

  • To investigate the likely size of autocatalytic networks upon their initial emergence.
  • To determine the computational complexity of finding the smallest RAF within a system.
  • To explore the relationship between RAFs and Chemical Organisation Theory (COT).

Main Methods:

  • Established the NP-hard nature of finding the smallest RAF in catalytic reaction systems.
  • Developed polynomial-time methods for constructing irreducible RAFs (irrRAFs).
  • Derived rigorous bounds on the sizes of small RAFs and used simulations under the binary polymer model.

Main Results:

  • The problem of identifying the smallest RAF is computationally intractable (NP-hard).
  • Irreducible RAFs (irrRAFs) can be efficiently constructed and analyzed.
  • At the critical transition point for RAF formation in the binary polymer model, small RAFs are statistically unlikely to exist.

Conclusions:

  • While simulations are insufficient to resolve the question of smallest RAFs, analytical methods offer insights.
  • The study provides rigorous bounds and computational approaches for analyzing RAFs.
  • The findings suggest that the initial emergence of self-sustaining chemical networks may involve larger, more complex structures rather than minimal ones.