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Related Concept Videos

Real-World Applications of Space Curves01:29

Real-World Applications of Space Curves

Modern aerospace navigation depends on the accurate prediction of motion in three-dimensional space. In defense applications, radar systems continuously track both interceptors and moving aerial targets to find whether their flight paths will result in a collision. These motions are modeled mathematically as space curves, which represent paths that change continuously with time. Each object’s position is described by a vector function that specifies its location in terms of time-dependent...
Lines in Space01:29

Lines in Space

In three-dimensional analytic geometry, a line can be fully described using vector equations when both a point on the line and its direction are known. This approach has practical applications in fields such as engineering and surveying, where precise spatial modeling is essential. For instance, a laser beam from a surveying instrument directed across a construction site can be modeled mathematically as a line using vectors.Let the laser beam originate from a known point P₀, represented by the...
Space Curves01:25

Space Curves

A space curve describes the path followed by a particle moving through three-dimensional space. Unlike plane curves, which are confined to two coordinates, space curves require three coordinate functions. If t is a parameter, the position of the particle is represented by the vector function\begin{equation*}\mathbf{r}(t)=\langle x(t),y(t),z(t)\rangle,\end{equation*}where x(t), y(t), and z(t) are differentiable functions of t. As t varies over an interval, the endpoints of the position vectors...
Motion in Space: Velocity and Acceleration01:31

Motion in Space: Velocity and Acceleration

The motion of an object in space, such as a drone flying through the air, can be described mathematically using a position vector, denoted r(t), which specifies the object's location at any given time t. Analyzing the motion of the drone involves examining how this position vector changes over time.The average velocity over a time interval is obtained by dividing the change in position by the duration of the interval. As the interval becomes infinitesimally small, this average velocity...
Dynamics of Circular Motion01:30

Dynamics of Circular Motion

An object undergoing circular motion, like a race car, is accelerating because it is changing the direction of its velocity. This centrally directed acceleration is called centripetal acceleration. This acceleration acts along the radius of the curved path (thus is also referred to as radial acceleration).
Any acceleration must be produced by some force. Therefore, any force or combination of forces can cause centripetal acceleration. A few examples include the tension in the rope on a...
Microtubules in Signaling01:22

Microtubules in Signaling

The primary cilium, made up of microtubules, acts as antennae on the cell surfaces for relaying external stimuli into the cells. These fine hair-like structures are present, generally one per cell. These are non-motile cilia in a 9+0 microtubules arrangement, where the central pair of microtubules are absent. The primary cilia arise from the basal body embedded in the cell membrane. Intraflagellar transport (IFT) carries requisite proteins from the cytoplasm to the cilium because the primary...

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Related Experiment Video

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Real-Time Proxy-Control of Re-Parameterized Peripheral Signals using a Close-Loop Interface
11:54

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Published on: May 8, 2021

Signalling ballet in space and time.

Boris N Kholodenko1, John F Hancock, Walter Kolch

  • 1Systems Biology Ireland, University College Dublin, Belfield, Dublin 4, Ireland. Boris.Kholodenko@ucd.ie

Nature Reviews. Molecular Cell Biology
|May 25, 2010
PubMed
Summary
This summary is machine-generated.

Cells integrate dynamic and spatial information using molecular machines like Ras nanoclusters and transcriptional feedback. This spatiotemporal organization is crucial for biological functions and cell fate decisions.

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Area of Science:

  • Cellular and molecular biology
  • Systems biology
  • Biophysics

Background:

  • Extensive catalogues of signaling network components exist.
  • Understanding of spatiotemporal control of emergent network structures is limited.
  • Analysis of spatial behaviors is currently confined to individual proteins.

Purpose of the Study:

  • To reveal how cells integrate temporal and spatial information.
  • To understand the determination of specific biological functions through spatiotemporal signaling.
  • To uncover design principles of spatiotemporal organization in cellular networks.

Main Methods:

  • Exploration of dynamic behavior throughout the genome.
  • Analysis of spatial behaviors of signaling network components.
  • Investigation of molecular signaling machines, such as Ras nanoclusters.
  • Characterization of spatial activity gradients.
  • Examination of flexible network circuitries involving transcriptional feedback.

Main Results:

  • Discovery of molecular signaling machines, including Ras nanoclusters.
  • Identification of spatial activity gradients in cellular signaling.
  • Elucidation of flexible network circuitries with transcriptional feedback.
  • Revealed design principles of spatiotemporal organization.

Conclusions:

  • Spatiotemporal organization is crucial for network function.
  • Spatiotemporal organization plays a key role in cell fate decisions.
  • Understanding these principles is essential for deciphering complex cellular behaviors.