Toolkit/mathematical model

mathematical model

Computational Method·Research·Since 2016

Taxonomy: Technique Branch / Method. Workflows sit above the mechanism and technique branches rather than replacing them.

Summary

This mathematical model is a computational method used to quantitatively analyze the kinetics of blue light-inducible and blue light-repressible gene expression in an EL222-based bidirectional promoter system in Escherichia coli. It describes expression dynamics under optical input in the context of a rapidly reversible bacterial optogenetic transcription system.

Usefulness & Problems

Why this is useful

The model is useful for quantitatively characterizing how blue-light input shapes transcriptional output in an EL222-based bidirectional promoter system. The associated study also showed that gene expression levels in this system can be precisely controlled by modulating blue-light pulse dosage or intensity, indicating the model supports analysis of tunable optical control.

Source:

We further apply the system, for the first time, to optogenetically synchronize two receiver cells performing different logic behaviors over time using blue light as a molecular clock signal

Problem solved

It addresses the problem of quantitatively describing the kinetics of both light-induced and light-repressed gene expression in a single bacterial optogenetic system. This is relevant to systems where blue light is used as a timing signal, including synchronization of receiver cells performing different logic behaviors over time.

Source:

We further apply the system, for the first time, to optogenetically synchronize two receiver cells performing different logic behaviors over time using blue light as a molecular clock signal

Problem links

Need precise spatiotemporal control with light input

Derived

This mathematical model was used to quantitatively analyze the kinetics of blue light-inducible and blue light-repressible gene expression in an EL222-based bidirectional promoter system in Escherichia coli. It serves as a computational method for describing expression dynamics under optical input.

Taxonomy & Function

Primary hierarchy

Technique Branch

Method: A concrete computational method used to design, rank, or analyze an engineered system.

Target processes

No target processes tagged yet.

Input: Light

Implementation Constraints

cofactor dependency: cofactor requirement unknownencoding mode: genetically encodedimplementation constraint: context specific validationimplementation constraint: spectral hardware requirementoperating role: builder

The model was used in the context of an EL222-based bidirectional promoter system engineered in Escherichia coli and driven by blue-light input. The supplied evidence does not specify software, parameterization strategy, training data requirements, or how the model should be implemented computationally.

The available evidence only states that the model was used for quantitative kinetic analysis, without providing its equations, parameters, predictive accuracy, or scope beyond the reported EL222 system in E. coli. No independent replication or validation across other organisms, optogenetic modules, or experimental contexts is described in the supplied evidence.

Validation

Cell-freeBacteriaMammalianMouseHumanTherapeuticIndep. Replication

Supporting Sources

Ranked Claims

Claim 1application demosupports2016Source 1needs review

The system was applied to optogenetically synchronize two receiver cells performing different logic behaviors over time using blue light as a molecular clock signal.

We further apply the system, for the first time, to optogenetically synchronize two receiver cells performing different logic behaviors over time using blue light as a molecular clock signal
Claim 2application demosupports2016Source 1needs review

The system was applied to optogenetically synchronize two receiver cells performing different logic behaviors over time using blue light as a molecular clock signal.

We further apply the system, for the first time, to optogenetically synchronize two receiver cells performing different logic behaviors over time using blue light as a molecular clock signal
Claim 3application demosupports2016Source 1needs review

The system was applied to optogenetically synchronize two receiver cells performing different logic behaviors over time using blue light as a molecular clock signal.

We further apply the system, for the first time, to optogenetically synchronize two receiver cells performing different logic behaviors over time using blue light as a molecular clock signal
Claim 4application demosupports2016Source 1needs review

The system was applied to optogenetically synchronize two receiver cells performing different logic behaviors over time using blue light as a molecular clock signal.

We further apply the system, for the first time, to optogenetically synchronize two receiver cells performing different logic behaviors over time using blue light as a molecular clock signal
Claim 5application demosupports2016Source 1needs review

The system was applied to optogenetically synchronize two receiver cells performing different logic behaviors over time using blue light as a molecular clock signal.

We further apply the system, for the first time, to optogenetically synchronize two receiver cells performing different logic behaviors over time using blue light as a molecular clock signal
Claim 6application demosupports2016Source 1needs review

The system was applied to optogenetically synchronize two receiver cells performing different logic behaviors over time using blue light as a molecular clock signal.

We further apply the system, for the first time, to optogenetically synchronize two receiver cells performing different logic behaviors over time using blue light as a molecular clock signal
Claim 7application demosupports2016Source 1needs review

The system was applied to optogenetically synchronize two receiver cells performing different logic behaviors over time using blue light as a molecular clock signal.

We further apply the system, for the first time, to optogenetically synchronize two receiver cells performing different logic behaviors over time using blue light as a molecular clock signal
Claim 8application demosupports2016Source 1needs review

The system was applied to optogenetically synchronize two receiver cells performing different logic behaviors over time using blue light as a molecular clock signal.

We further apply the system, for the first time, to optogenetically synchronize two receiver cells performing different logic behaviors over time using blue light as a molecular clock signal
Claim 9application demosupports2016Source 1needs review

The system was applied to optogenetically synchronize two receiver cells performing different logic behaviors over time using blue light as a molecular clock signal.

We further apply the system, for the first time, to optogenetically synchronize two receiver cells performing different logic behaviors over time using blue light as a molecular clock signal
Claim 10application demosupports2016Source 1needs review

The system was applied to optogenetically synchronize two receiver cells performing different logic behaviors over time using blue light as a molecular clock signal.

We further apply the system, for the first time, to optogenetically synchronize two receiver cells performing different logic behaviors over time using blue light as a molecular clock signal
Claim 11control propertysupports2016Source 1needs review

Gene expression level in the system can be precisely controlled by modulating blue-light pulse dosage or intensity.

by modulating the dosage of light pulses or intensity we could control the level of gene expression precisely
Claim 12control propertysupports2016Source 1needs review

Gene expression level in the system can be precisely controlled by modulating blue-light pulse dosage or intensity.

by modulating the dosage of light pulses or intensity we could control the level of gene expression precisely
Claim 13control propertysupports2016Source 1needs review

Gene expression level in the system can be precisely controlled by modulating blue-light pulse dosage or intensity.

by modulating the dosage of light pulses or intensity we could control the level of gene expression precisely
Claim 14control propertysupports2016Source 1needs review

Gene expression level in the system can be precisely controlled by modulating blue-light pulse dosage or intensity.

by modulating the dosage of light pulses or intensity we could control the level of gene expression precisely
Claim 15control propertysupports2016Source 1needs review

Gene expression level in the system can be precisely controlled by modulating blue-light pulse dosage or intensity.

by modulating the dosage of light pulses or intensity we could control the level of gene expression precisely
Claim 16control propertysupports2016Source 1needs review

Gene expression level in the system can be precisely controlled by modulating blue-light pulse dosage or intensity.

by modulating the dosage of light pulses or intensity we could control the level of gene expression precisely
Claim 17control propertysupports2016Source 1needs review

Gene expression level in the system can be precisely controlled by modulating blue-light pulse dosage or intensity.

by modulating the dosage of light pulses or intensity we could control the level of gene expression precisely
Claim 18control propertysupports2016Source 1needs review

Gene expression level in the system can be precisely controlled by modulating blue-light pulse dosage or intensity.

by modulating the dosage of light pulses or intensity we could control the level of gene expression precisely
Claim 19control propertysupports2016Source 1needs review

Gene expression level in the system can be precisely controlled by modulating blue-light pulse dosage or intensity.

by modulating the dosage of light pulses or intensity we could control the level of gene expression precisely
Claim 20control propertysupports2016Source 1needs review

Gene expression level in the system can be precisely controlled by modulating blue-light pulse dosage or intensity.

by modulating the dosage of light pulses or intensity we could control the level of gene expression precisely
Claim 21engineering resultsupports2016Source 1needs review

The authors engineered a novel EL222-based bidirectional promoter system for Escherichia coli that can be induced or repressed rapidly and reversibly by blue light.

we have engineered a novel bidirectional promoter system for Escherichia coli that can be induced or repressed rapidly and reversibly using the blue light dependent DNA-binding protein EL222
Claim 22engineering resultsupports2016Source 1needs review

The authors engineered a novel EL222-based bidirectional promoter system for Escherichia coli that can be induced or repressed rapidly and reversibly by blue light.

we have engineered a novel bidirectional promoter system for Escherichia coli that can be induced or repressed rapidly and reversibly using the blue light dependent DNA-binding protein EL222
Claim 23engineering resultsupports2016Source 1needs review

The authors engineered a novel EL222-based bidirectional promoter system for Escherichia coli that can be induced or repressed rapidly and reversibly by blue light.

we have engineered a novel bidirectional promoter system for Escherichia coli that can be induced or repressed rapidly and reversibly using the blue light dependent DNA-binding protein EL222
Claim 24engineering resultsupports2016Source 1needs review

The authors engineered a novel EL222-based bidirectional promoter system for Escherichia coli that can be induced or repressed rapidly and reversibly by blue light.

we have engineered a novel bidirectional promoter system for Escherichia coli that can be induced or repressed rapidly and reversibly using the blue light dependent DNA-binding protein EL222
Claim 25engineering resultsupports2016Source 1needs review

The authors engineered a novel EL222-based bidirectional promoter system for Escherichia coli that can be induced or repressed rapidly and reversibly by blue light.

we have engineered a novel bidirectional promoter system for Escherichia coli that can be induced or repressed rapidly and reversibly using the blue light dependent DNA-binding protein EL222
Claim 26engineering resultsupports2016Source 1needs review

The authors engineered a novel EL222-based bidirectional promoter system for Escherichia coli that can be induced or repressed rapidly and reversibly by blue light.

we have engineered a novel bidirectional promoter system for Escherichia coli that can be induced or repressed rapidly and reversibly using the blue light dependent DNA-binding protein EL222
Claim 27engineering resultsupports2016Source 1needs review

The authors engineered a novel EL222-based bidirectional promoter system for Escherichia coli that can be induced or repressed rapidly and reversibly by blue light.

we have engineered a novel bidirectional promoter system for Escherichia coli that can be induced or repressed rapidly and reversibly using the blue light dependent DNA-binding protein EL222
Claim 28engineering resultsupports2016Source 1needs review

The authors engineered a novel EL222-based bidirectional promoter system for Escherichia coli that can be induced or repressed rapidly and reversibly by blue light.

we have engineered a novel bidirectional promoter system for Escherichia coli that can be induced or repressed rapidly and reversibly using the blue light dependent DNA-binding protein EL222
Claim 29engineering resultsupports2016Source 1needs review

The authors engineered a novel EL222-based bidirectional promoter system for Escherichia coli that can be induced or repressed rapidly and reversibly by blue light.

we have engineered a novel bidirectional promoter system for Escherichia coli that can be induced or repressed rapidly and reversibly using the blue light dependent DNA-binding protein EL222
Claim 30engineering resultsupports2016Source 1needs review

The authors engineered a novel EL222-based bidirectional promoter system for Escherichia coli that can be induced or repressed rapidly and reversibly by blue light.

we have engineered a novel bidirectional promoter system for Escherichia coli that can be induced or repressed rapidly and reversibly using the blue light dependent DNA-binding protein EL222
Claim 31modeling analysissupports2016Source 1needs review

The kinetics of light-inducible and repressible expression were quantitatively analyzed using a mathematical model.

the light-inducible and repressible expression kinetics were quantitatively analysed using a mathematical model
Claim 32modeling analysissupports2016Source 1needs review

The kinetics of light-inducible and repressible expression were quantitatively analyzed using a mathematical model.

the light-inducible and repressible expression kinetics were quantitatively analysed using a mathematical model
Claim 33modeling analysissupports2016Source 1needs review

The kinetics of light-inducible and repressible expression were quantitatively analyzed using a mathematical model.

the light-inducible and repressible expression kinetics were quantitatively analysed using a mathematical model
Claim 34modeling analysissupports2016Source 1needs review

The kinetics of light-inducible and repressible expression were quantitatively analyzed using a mathematical model.

the light-inducible and repressible expression kinetics were quantitatively analysed using a mathematical model
Claim 35modeling analysissupports2016Source 1needs review

The kinetics of light-inducible and repressible expression were quantitatively analyzed using a mathematical model.

the light-inducible and repressible expression kinetics were quantitatively analysed using a mathematical model
Claim 36modeling analysissupports2016Source 1needs review

The kinetics of light-inducible and repressible expression were quantitatively analyzed using a mathematical model.

the light-inducible and repressible expression kinetics were quantitatively analysed using a mathematical model
Claim 37modeling analysissupports2016Source 1needs review

The kinetics of light-inducible and repressible expression were quantitatively analyzed using a mathematical model.

the light-inducible and repressible expression kinetics were quantitatively analysed using a mathematical model
Claim 38modeling analysissupports2016Source 1needs review

The kinetics of light-inducible and repressible expression were quantitatively analyzed using a mathematical model.

the light-inducible and repressible expression kinetics were quantitatively analysed using a mathematical model
Claim 39modeling analysissupports2016Source 1needs review

The kinetics of light-inducible and repressible expression were quantitatively analyzed using a mathematical model.

the light-inducible and repressible expression kinetics were quantitatively analysed using a mathematical model
Claim 40modeling analysissupports2016Source 1needs review

The kinetics of light-inducible and repressible expression were quantitatively analyzed using a mathematical model.

the light-inducible and repressible expression kinetics were quantitatively analysed using a mathematical model
Claim 41modeling analysissupports2016Source 1needs review

The kinetics of light-inducible and repressible expression were quantitatively analyzed using a mathematical model.

the light-inducible and repressible expression kinetics were quantitatively analysed using a mathematical model
Claim 42modeling analysissupports2016Source 1needs review

The kinetics of light-inducible and repressible expression were quantitatively analyzed using a mathematical model.

the light-inducible and repressible expression kinetics were quantitatively analysed using a mathematical model
Claim 43modeling analysissupports2016Source 1needs review

The kinetics of light-inducible and repressible expression were quantitatively analyzed using a mathematical model.

the light-inducible and repressible expression kinetics were quantitatively analysed using a mathematical model
Claim 44modeling analysissupports2016Source 1needs review

The kinetics of light-inducible and repressible expression were quantitatively analyzed using a mathematical model.

the light-inducible and repressible expression kinetics were quantitatively analysed using a mathematical model
Claim 45modeling analysissupports2016Source 1needs review

The kinetics of light-inducible and repressible expression were quantitatively analyzed using a mathematical model.

the light-inducible and repressible expression kinetics were quantitatively analysed using a mathematical model
Claim 46modeling analysissupports2016Source 1needs review

The kinetics of light-inducible and repressible expression were quantitatively analyzed using a mathematical model.

the light-inducible and repressible expression kinetics were quantitatively analysed using a mathematical model
Claim 47modeling analysissupports2016Source 1needs review

The kinetics of light-inducible and repressible expression were quantitatively analyzed using a mathematical model.

the light-inducible and repressible expression kinetics were quantitatively analysed using a mathematical model
Claim 48parallel functionsupports2016Source 1needs review

The light-inducible and light-repressible systems can function in parallel with high spatial precision in a single cell and can be switched stably between ON and OFF states by repetitive blue-light pulses.

both light-inducible and repressible system can function in parallel with high spatial precision in a single cell and can be switched stably between ON- and OFF-states by repetitive pulses of blue light
Claim 49parallel functionsupports2016Source 1needs review

The light-inducible and light-repressible systems can function in parallel with high spatial precision in a single cell and can be switched stably between ON and OFF states by repetitive blue-light pulses.

both light-inducible and repressible system can function in parallel with high spatial precision in a single cell and can be switched stably between ON- and OFF-states by repetitive pulses of blue light
Claim 50parallel functionsupports2016Source 1needs review

The light-inducible and light-repressible systems can function in parallel with high spatial precision in a single cell and can be switched stably between ON and OFF states by repetitive blue-light pulses.

both light-inducible and repressible system can function in parallel with high spatial precision in a single cell and can be switched stably between ON- and OFF-states by repetitive pulses of blue light
Claim 51parallel functionsupports2016Source 1needs review

The light-inducible and light-repressible systems can function in parallel with high spatial precision in a single cell and can be switched stably between ON and OFF states by repetitive blue-light pulses.

both light-inducible and repressible system can function in parallel with high spatial precision in a single cell and can be switched stably between ON- and OFF-states by repetitive pulses of blue light
Claim 52parallel functionsupports2016Source 1needs review

The light-inducible and light-repressible systems can function in parallel with high spatial precision in a single cell and can be switched stably between ON and OFF states by repetitive blue-light pulses.

both light-inducible and repressible system can function in parallel with high spatial precision in a single cell and can be switched stably between ON- and OFF-states by repetitive pulses of blue light
Claim 53parallel functionsupports2016Source 1needs review

The light-inducible and light-repressible systems can function in parallel with high spatial precision in a single cell and can be switched stably between ON and OFF states by repetitive blue-light pulses.

both light-inducible and repressible system can function in parallel with high spatial precision in a single cell and can be switched stably between ON- and OFF-states by repetitive pulses of blue light
Claim 54parallel functionsupports2016Source 1needs review

The light-inducible and light-repressible systems can function in parallel with high spatial precision in a single cell and can be switched stably between ON and OFF states by repetitive blue-light pulses.

both light-inducible and repressible system can function in parallel with high spatial precision in a single cell and can be switched stably between ON- and OFF-states by repetitive pulses of blue light
Claim 55parallel functionsupports2016Source 1needs review

The light-inducible and light-repressible systems can function in parallel with high spatial precision in a single cell and can be switched stably between ON and OFF states by repetitive blue-light pulses.

both light-inducible and repressible system can function in parallel with high spatial precision in a single cell and can be switched stably between ON- and OFF-states by repetitive pulses of blue light
Claim 56parallel functionsupports2016Source 1needs review

The light-inducible and light-repressible systems can function in parallel with high spatial precision in a single cell and can be switched stably between ON and OFF states by repetitive blue-light pulses.

both light-inducible and repressible system can function in parallel with high spatial precision in a single cell and can be switched stably between ON- and OFF-states by repetitive pulses of blue light
Claim 57parallel functionsupports2016Source 1needs review

The light-inducible and light-repressible systems can function in parallel with high spatial precision in a single cell and can be switched stably between ON and OFF states by repetitive blue-light pulses.

both light-inducible and repressible system can function in parallel with high spatial precision in a single cell and can be switched stably between ON- and OFF-states by repetitive pulses of blue light

Approval Evidence

1 source1 linked approval claimfirst-pass slug mathematical-model
the light-inducible and repressible expression kinetics were quantitatively analysed using a mathematical model

Source:

modeling analysissupports

The kinetics of light-inducible and repressible expression were quantitatively analyzed using a mathematical model.

the light-inducible and repressible expression kinetics were quantitatively analysed using a mathematical model

Source:

Comparisons

Source-backed strengths

A key strength is that it was applied to quantitatively analyze both inducible and repressible expression kinetics in the same EL222-based bidirectional promoter framework. The underlying biological system was reported to respond rapidly and reversibly to blue light, and its expression level could be precisely controlled by pulse dosage or intensity.

Source:

we have engineered a novel bidirectional promoter system for Escherichia coli that can be induced or repressed rapidly and reversibly using the blue light dependent DNA-binding protein EL222

mathematical model and mathematical model of light-induced expression kinetics address a similar problem space.

Shared frame: same top-level item type; shared mechanisms: kinetic modeling; same primary input modality: light

mathematical model and model bioinformatics analysis address a similar problem space.

Shared frame: same top-level item type; same primary input modality: light

mathematical model and molecular dynamics simulations address a similar problem space.

Shared frame: same top-level item type; same primary input modality: light

Relative tradeoffs: appears more independently replicated; looks easier to implement in practice.

Ranked Citations

  1. 1.
    StructuralSource 1Nucleic Acids Research2016Claim 8Claim 10Claim 10

    Extracted from this source document.