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Related Concept Videos

Block Diagram Reduction01:22

Block Diagram Reduction

The process of deriving the transfer function of a control system often involves reducing its block diagram to a single block. This simplification can be achieved through a series of strategic operations, including relocating branch points and comparators. These operations preserve the overall function of the system while allowing for easier manipulation and combination of blocks.
The first step in this process is the identification and relocation of a branch point. A branch point, where a...
Amplifying Signals via Enzymatic Cascade01:22

Amplifying Signals via Enzymatic Cascade

When a ligand binds to a cell-surface receptor, the receptor's intracellular domain changes shape, which may either activate its enzyme function or allow its binding to other molecules. The initial signal is amplified by most signal transduction pathways. This means that a single ligand molecule can activate multiple molecules of a downstream target. Proteins that relay a signal are most commonly phosphorylated at one or more sites, activating or inactivating the protein. Kinases catalyze the...
Interactions Between Signaling Pathways01:19

Interactions Between Signaling Pathways

Signaling cascades usually lack linearity. Multiple pathways interact and regulate one another, allowing cells to integrate and respond to diverse environmental stimuli.
Convergence and divergence, and cross-talk between signaling pathways
Two distinct signaling pathways can converge on a single functional unit, which may either be a single protein or a complex of proteins. The response is either functionally distinct or synergistic between the two pathways but different from the response...
Signal Flow Graphs01:18

Signal Flow Graphs

Signal-flow graphs offer a streamlined and intuitive approach to representing control systems, providing an alternative to traditional block diagrams. These graphs use branches to symbolize systems and nodes to represent signals, effectively illustrating the relationships and interactions within the system.
In a signal-flow graph, branches denote the system's transfer functions, while nodes represent the signals. The direction of signal flow is indicated by arrows, with the corresponding...
Intracellular Signaling Cascades01:24

Intracellular Signaling Cascades

Once a ligand binds to a receptor, the signal is transmitted through the membrane and into the cytoplasm. The continuation of a signal in this manner is called signal transduction. Signal transduction only occurs with cell-surface receptors, which cannot interact with most components of the cell, such as DNA. Only internal receptors can interact directly with DNA in the nucleus to initiate protein synthesis. When a ligand binds to its receptor, conformational changes occur that affect the...
Intracellular Signaling Cascades01:24

Intracellular Signaling Cascades

Once a ligand binds to a receptor, the signal is transmitted through the membrane and into the cytoplasm. The continuation of a signal in this manner is called signal transduction. Signal transduction only occurs with cell-surface receptors, which cannot interact with most components of the cell, such as DNA. Only internal receptors can interact directly with DNA in the nucleus to initiate protein synthesis. When a ligand binds to its receptor, conformational changes occur that affect the...

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Design and Analysis for Fall Detection System Simplification
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Published on: April 6, 2020

Systematic reduction of a stochastic signalling cascade model.

Colin Guangqiang Dong1, Luke Jakobowski, David R McMillen

  • 1Institute for Optical Sciences and Dept. of Chemical and Physical Sciences, University of Toronto at Mississauga, Mississauga, ON L5L 1C6, CANADA.

Journal of Biological Physics
|August 12, 2009
PubMed
Summary

This study introduces a new method to simplify complex stochastic biochemical models. The simplified models accurately represent species numbers, fluctuations, and statistical parameters in biological systems.

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Area of Science:

  • Biochemistry
  • Systems Biology
  • Computational Biology

Background:

  • Biochemical systems often involve low molecule numbers, necessitating stochastic modeling due to significant fluctuations.
  • Stochastic models for biochemical networks can become excessively large and computationally intensive.
  • Existing model simplification techniques are primarily designed for deterministic systems, with limited application to stochastic models.

Purpose of the Study:

  • To develop and apply a novel method for reducing the complexity of stochastic biochemical network models.
  • To address the need for computationally tractable yet accurate representations of biochemical systems.
  • To validate the proposed simplification method on a real-world biological system.

Main Methods:

  • Proposed a new computational method for simplifying stochastic biochemical network models.
  • Applied the simplification method to a mammalian signaling cascade model.
  • Validated the reduced model against the original model using statistical analysis.

Main Results:

  • The simplified stochastic model accurately captured the average number of species.
  • The reduced model also accurately represented the fluctuations and statistical properties of the original system.
  • Demonstrated the effectiveness of the simplification approach for complex biological networks.

Conclusions:

  • The developed method effectively reduces the complexity of stochastic biochemical models.
  • Simplified models maintain accuracy in representing both average behavior and stochastic fluctuations.
  • This approach enhances the computational tractability of analyzing complex biological signaling pathways.