Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Global Regulatory Systems

Global Regulatory Systems

Global regulatory systems in bacteria enable rapid and coordinated responses to environmental changes by integrating sensory inputs with gene expression, ensuring efficient adaptation to fluctuating conditions. Key global regulatory mechanisms include regulons, two-component systems, sigma factors, and secondary messengers.Regulons and Global RegulatorsA regulon is a collection of genes and operons controlled by a common global regulator. These regulators enable bacteria to prioritize resource...

Inducible Operons: lac Operon

Inducible Operons: lac Operon

The lac operon in Escherichia coli is a model for understanding inducible gene regulation and metabolic flexibility. It integrates local control by lactose and global regulation through catabolite repression, enabling E. coli to preferentially metabolize glucose when available and switch to lactose utilization when glucose is scarce.Structure and Function of the lac OperonThe lac operon contains three structural genes: lacZ (β-galactosidase), lacY (lactose permease), and lacA (thiogalactoside...

Constitutive and Regulated Gene Expression

Constitutive and Regulated Gene Expression

Gene expression in prokaryotes is governed by constitutive and regulated systems, allowing cells to balance the production of essential proteins with adaptive responses to environmental changes.Constitutive Gene ExpressionConstitutive, or housekeeping, genes are continuously expressed as they encode proteins vital for fundamental cellular processes. These include enzymes for glycolysis, ribosomal components for protein synthesis, and proteins involved in DNA replication. Their constant...

Repressible Operon: trp Operon

Repressible Operon: trp Operon

The trp operon in Escherichia coli exemplifies a repressible operon. It regulates the synthesis of tryptophan through repressor-mediated transcriptional control and attenuation. This dual regulatory mechanism ensures tryptophan biosynthesis occurs only when needed, conserving cellular resources.Structure of the trp OperonThe trp operon consists of five structural genes (trpE, trpD, trpC, trpB, and trpA) that encode enzymes for tryptophan biosynthesis. These genes are transcribed as a single...

Operon Model

Operon Model

The operon model represents a fundamental mechanism of gene regulation in prokaryotes, enabling coordinated expression of genes involved in related metabolic or functional pathways. Operons consist of structural genes, a promoter, and an operator, with transcription regulated by repressors, activators, and small effector molecules.Structure and Function of OperonsAn operon is a cluster of structural genes transcribed together under the control of a single promoter. The promoter region...

Translational Regulation

Translational Regulation

Translational regulation in prokaryotes ensures efficient protein synthesis by controlling ribosome access to mRNA. This regulation is mediated by secondary RNA structures, including translational riboswitches, RNA thermometers, and small RNAs (sRNAs), which respond to intracellular and environmental signals to modulate gene expression.Translational RiboswitchesRiboswitches in the leader region of mRNAs can regulate translation by altering the accessibility of the Shine-Dalgarno (SD) sequence,...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Fitness optimization and evolution of permanent replicator systems.

Journal of mathematical biology·2021

Same author

How trait distributions evolve in populations with parametric heterogeneity.

Mathematical biosciences·2019

Same author

On the evolution of hypercycles.

Mathematical biosciences·2018

Same author

Generalized quasispecies model on finite metric spaces: isometry groups and spectral properties of evolutionary matrices.

Journal of mathematical biology·2018

Same author

Origin and Evolution of the Universal Genetic Code.

Annual review of genetics·2017

Same author

Crossing fitness canyons by a finite population.

Physical review. E·2017

Search research articles

Related Experiment Video

Updated: Jun 1, 2026

Continuous Measurement of Biological Noise in Escherichia Coli Using Time-lapse Microscopy

Continuous Measurement of Biological Noise in Escherichia Coli Using Time-lapse Microscopy

Published on: April 27, 2021

A note on the replicator equation with explicit space and global regulation.

Alexander S Bratus¹, Vladimir P Posvyanskii, Artem S Novozhilov

¹Applied Mathematics-1, Moscow State University of Railway Engineering, Obraztsova 9, Moscow, 127994, Russia. alexander.bratus@yandex.ru

Mathematical Biosciences and Engineering : MBE

|June 17, 2011

Summary

This summary is machine-generated.

This study introduces a replicator equation model for spatial species distribution, offering new insights into evolutionary game theory. It establishes conditions for stable states in ecological systems.

More Related Videos

A Multilayer Microfluidic Platform for the Conduction of Prolonged Cell-Free Gene Expression

A Multilayer Microfluidic Platform for the Conduction of Prolonged Cell-Free Gene Expression

Published on: October 6, 2019

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Related Experiment Videos

Last Updated: Jun 1, 2026

Continuous Measurement of Biological Noise in Escherichia Coli Using Time-lapse Microscopy

Continuous Measurement of Biological Noise in Escherichia Coli Using Time-lapse Microscopy

Published on: April 27, 2021

A Multilayer Microfluidic Platform for the Conduction of Prolonged Cell-Free Gene Expression

A Multilayer Microfluidic Platform for the Conduction of Prolonged Cell-Free Gene Expression

Published on: October 6, 2019

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Area of Science:

Evolutionary Game Theory
Mathematical Biology
Spatial Ecology

Background:

Classical game theory concepts like Nash equilibrium and evolutionary stable states are foundational.
Understanding species dynamics in spatially distributed populations requires advanced modeling.

Purpose of the Study:

To introduce a replicator equation model incorporating explicit spatial dimensions and global regulation.
To provide analogues to Nash equilibrium and evolutionary stable states for spatially structured populations.
To present a sufficient condition for a uniform stationary state to be a spatially distributed evolutionary stable state.

Main Methods:

Development of a replicator equation model with spatial and global regulation components.
Mathematical analysis to derive analogues of classical game theory concepts.
Identification and presentation of a sufficient condition for evolutionary stability in uniform stationary states.

Main Results:

The model naturally accommodates the tracking of species frequencies across a spatial domain.
Analogues to Nash equilibrium and evolutionary stable states were successfully established for the spatial model.
A specific sufficient condition was derived and demonstrated for evolutionary stability in uniform stationary states.

Conclusions:

The developed replicator equation provides a robust framework for studying spatially explicit evolutionary dynamics.
The findings extend classical evolutionary game theory to spatially structured ecological communities.
The identified condition for evolutionary stability offers a valuable tool for predicting ecosystem stability.