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In an underdamped second-order system, where the damping ratio ζ is between 0 and 1, a unit-step input results in a transfer function that, when transformed using the inverse Laplace method, reveals the output response. The output exhibits a damped sinusoidal oscillation, and the difference between the input and output is termed the error signal. This error signal also demonstrates damped oscillatory behavior. Eventually, as the system reaches a steady state, the error diminishes to zero.
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A servo system exemplifies a second-order system, featuring a proportional controller and load elements that ensure the output position aligns with the input position. The relationship between these components is described by a second-order differential equation. Applying the Laplace transform under zero initial conditions yields the transfer function, showing how inputs are converted to outputs in the system.
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Inflammation after Stroke: A Local Rather Than Systemic Response?

Ruslan Rust1, Lisa Grönnert2, Martin E Schwab3

  • 1Institute for Regenerative Medicine, University of Zurich, Zurich, Switzerland; Department of Health Sciences and Technology, ETH Zurich, Zurich, Switzerland; These authors contributed equally to this work.

Trends in Neurosciences
|October 18, 2018
PubMed
Summary
This summary is machine-generated.

Following brain injury in mice, immune cells are recruited from nearby skull bone marrow, not the whole body. This discovery offers potential new therapeutic strategies for brain injuries.

Keywords:
immune cell recruitmentischemianeutrophilsvascular channels

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Area of Science:

  • Neuroscience
  • Immunology
  • Cell Biology

Background:

  • Inflammatory and immune cell recruitment post-injury was traditionally considered a systemic process.
  • The precise origin and pathways of immune cell infiltration into the injured brain remained unclear.

Purpose of the Study:

  • To investigate the primary source of immune cells infiltrating the brain after injury.
  • To elucidate the mechanisms of immune cell entry into the brain following traumatic brain injury (TBI).

Main Methods:

  • Utilized a mouse model of brain injury.
  • Tracked the origin and migration pathways of immune cells using advanced imaging techniques.
  • Examined the role of specific vascular channels in immune cell trafficking.

Main Results:

  • Immune cells are predominantly recruited from adjacent skull bone marrow following brain injury.
  • These cells migrate into the brain primarily through specific, microscopic vascular channels.
  • The systemic recruitment of inflammatory cells is less significant than previously assumed.

Conclusions:

  • Brain injury triggers a localized immune response originating from nearby bone marrow.
  • Targeting these specific bone marrow-derived immune cell pathways presents a novel therapeutic avenue for TBI.
  • Understanding localized immune cell trafficking is crucial for developing effective brain injury treatments.