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Related Concept Videos

Multi-Step Reactions02:31

Multi-Step Reactions

Chemical reactions often occur in a stepwise fashion involving two or more distinct reactions taking place in a sequence. A balanced equation indicates the reacting species and the product species, but it reveals no details about how the reaction occurs at the molecular level. The reaction mechanism (or reaction path) provides details regarding the precise, step-by-step process by which a reaction occurs. Each of the steps in a reaction mechanism is called an elementary reaction. These...
Reaction Mechanisms: The Steady-State Approximation01:26

Reaction Mechanisms: The Steady-State Approximation

The steady-state approximation, also referred to as the quasi-steady-state approximation to differentiate it from a true steady state, is a widely used method for simplifying calculations in complex reaction mechanisms. This approach is particularly useful when dealing with multi-step reactions that involve reverse reactions or several steps, which can significantly increase mathematical complexity and make the reactions nearly unsolvable analytically.The steady-state approximation operates on...
Reaction Mechanisms: Rate-limiting Step Approximation01:29

Reaction Mechanisms: Rate-limiting Step Approximation

The rate-determining step, or RDS, in a chemical reaction is the slowest step that determines the overall reaction rate. It is identified by using the observed rate law and typically involves approximation methods like the RDS approximation or the steady-state approximation.In the RDS approximation, also known as the rate-limiting-step or equilibrium approximation, the reaction mechanism consists of one or more reversible reactions near equilibrium, followed by a slower RDS, and then one or...
Reaction Mechanisms03:06

Reaction Mechanisms

Chemical reactions often occur in a stepwise fashion, involving two or more distinct reactions taking place in a sequence. A balanced equation indicates the reacting species and the product species, but it reveals no details about how the reaction occurs at the molecular level. The reaction mechanism (or reaction path) provides details regarding the precise, step-by-step process by which a reaction occurs.
For instance, the decomposition of ozone appears to follow a mechanism with two steps:
Rate-Determining Steps03:08

Rate-Determining Steps

Relating Reaction Mechanisms
In a multistep reaction mechanism, one of the elementary steps progresses significantly slower than the others. This slowest step is called the rate-limiting step (or rate-determining step). A reaction cannot proceed faster than its slowest step, and hence, the rate-determining step limits the overall reaction rate.
The concept of rate-determining step can be understood from the analogy of a 4-lane freeway with a short-stretch of traffic-bottleneck caused due to...
Predicting Reaction Outcomes02:24

Predicting Reaction Outcomes

Kinetics describes the rate and path by which a reaction occurs. In contrast, thermodynamics deals with state functions and describes the properties, behavior, and components of a system. It is not concerned with the path taken by the process and cannot address the rate at which a reaction occurs. Although it does provide information about what can happen during a reaction process, it does not describe the detailed steps of what appears on an atomic or a molecular level. On the other hand,...

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A Web Tool for Generating High Quality Machine-readable Biological Pathways
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Generic schemes for single-molecule kinetics. 1: Self-consistent pathway solutions for renewal processes.

Jianshu Cao1, Robert J Silbey

  • 1Department of Chemistry, Massachusetts Institute of Technology, Cambridge, MA 02139, USA.

The Journal of Physical Chemistry. B
|September 26, 2008
PubMed
Summary

This study introduces a kinetic motif strategy to simplify complex single-molecule processes. This framework unifies diverse experimental data, revealing underlying kinetic mechanisms and memory effects.

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Steady-state, Pre-steady-state, and Single-turnover Kinetic Measurement for DNA Glycosylase Activity

Published on: August 19, 2013

Area of Science:

  • Chemical Kinetics
  • Single-Molecule Biophysics
  • Statistical Mechanics

Background:

  • Complex single-molecule kinetic processes often exhibit non-exponential waiting time distributions.
  • Traditional kinetic frameworks may not fully capture the intricacies of these systems.
  • Understanding these kinetics is crucial for fields ranging from enzyme catalysis to materials science.

Purpose of the Study:

  • To develop a general framework for analyzing complex single-molecule kinetic processes.
  • To demonstrate the equivalence of rate matrix and waiting time distribution function frameworks.
  • To introduce kinetic motifs as building blocks for a unified kinetic scheme.

Main Methods:

  • Decomposition of complex kinetic schemes into sequential and branching motifs.
  • Derivation of self-consistent equations using convolution of waiting time and first passage time distributions.
  • Analysis of experimental systems (enzymatic reactions, fluorescence) using a generic scheme with monitored, controlled, and unknown links.

Main Results:

  • Demonstrated equivalence between rate matrix and waiting time distribution function frameworks.
  • Developed a self-consistent pathway formalism for analyzing complex kinetics.
  • Showed that single-molecule measurements retain functional form across subscheme alterations, enabling unified classification.

Conclusions:

  • The kinetic motif strategy provides a powerful, unified approach to single-molecule kinetic analysis.
  • The framework successfully simplifies complex systems and classifies diverse experimental data.
  • Further generalization to non-renewal processes with memory effects is anticipated.