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Related Concept Videos

Neural Circuits01:25

Neural Circuits

Neural circuits and neuronal pools are two of the main structures found in the nervous system. Neural circuits are networks of neurons that work together to carry out a specific task or process. They consist of interconnected neurons and glial cells, which provide structural and metabolic support.
Neuronal pools are collections of nerve cells with similar functions and interact through chemical and electrical signals. These pools include both interneurons (the central neural circuit nodes that...
Design Example: Capacitance Multiplier Circuit01:20

Design Example: Capacitance Multiplier Circuit

In integrated circuit technology, a capacitance multiplier is often utilized to produce a larger capacitance value when a small physical capacitance falls short. This is achieved by a circuit that multiplies capacitance values by a factor of up to 1000, such that a 10-pF capacitor can replicate the performance of a 100-nF capacitor.
The circuit illustrated in Figure 1 below incorporates two op-amps, with the first operating as a voltage follower and the second acting as an inverting amplifier.
Network Function of a Circuit01:25

Network Function of a Circuit

Frequency response analysis in electrical circuits provides vital insights into a circuit's behavior as the frequency of the input signal changes. The transfer function, a mathematical tool, is instrumental in understanding this behavior. It defines the relationship between phasor output and input and comes in four types: voltage gain, current gain, transfer impedance, and transfer admittance. The critical components of the transfer function are the poles and zeros.
Second-Order Circuits01:17

Second-Order Circuits

Integrating two fundamental energy storage elements in electrical circuits results in second-order circuits, encompassing RLC circuits and circuits with dual capacitors or inductors (RC and RL circuits). Second-order circuits are identified by second-order differential equations that link input and output signals.
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Combinatorial Gene Control02:33

Combinatorial Gene Control

Combinatorial gene control is the synergistic action of several transcriptional factors to regulate the expression of a single gene. The absence of one or more of these factors may lead to a significant difference in the level of gene expression or repression.
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Root Loci for Positive-Feedback Systems01:23

Root Loci for Positive-Feedback Systems

The Hartley oscillator is a positive feedback system that sustains oscillations by feeding the output back to the input in phase, thereby reinforcing the signal. Positive feedback systems can be viewed as negative feedback systems with inverted feedback signals. In these systems, the root locus encompasses all points on the s-plane where the angle of the system transfer function equals 360 degrees.
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Continuous Measurement of Biological Noise in Escherichia Coli Using Time-lapse Microscopy
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Published on: April 27, 2021

Gene circuit designs for noisy excitable dynamics.

Pau Rué1, Jordi Garcia-Ojalvo

  • 1Departament de Física i Enginyeria Nuclear, Universitat Politècnica de Catalunya, Edifici GAIA, Barcelona, Spain.

Mathematical Biosciences
|March 23, 2011
PubMed
Summary

Molecular noise can drive cellular processes into activity pulses, resembling noise-driven excitable dynamics. Gene circuit designs can exhibit these protein expression pulses, with dynamics varying based on system parameters and bifurcation structures.

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Area of Science:

  • Systems Biology
  • Biophysics
  • Molecular Biology

Background:

  • Cellular processes often manifest as activity pulses.
  • These pulses can be modeled using noise-driven excitable dynamics.
  • Molecular noise plays a crucial role in biological systems.

Purpose of the Study:

  • To provide an overview of gene circuit architectures that generate excitable protein expression pulses under molecular noise.
  • To explore the relationship between bifurcation structures, phase-space topology, and excitable dynamics.
  • To demonstrate how different excitable dynamics can arise from the same circuit architecture.

Main Methods:

  • Analysis of gene circuit architectures.
  • Modeling of protein expression dynamics.
  • Investigation of noise-induced phenomena.
  • Exploration of bifurcation theory and phase-space topology.

Main Results:

  • Identified various gene circuit designs capable of producing excitable protein expression pulses.
  • Demonstrated that different types of excitable dynamics can emerge based on bifurcation structures.
  • Showed that a single gene circuit design can support multiple classes of excitable dynamics by altering system parameters.

Conclusions:

  • Gene circuit architecture is not solely deterministic of excitable dynamics.
  • System parameters and underlying bifurcation structures significantly influence the type of excitable dynamics observed.
  • Noise-driven excitable dynamics are a versatile phenomenon in cellular processes regulated by gene circuits.