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Viscosity01:17

Viscosity

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When water is poured into a glass, it falls freely and quickly, whereas if honey or maple syrup is poured over a pancake, it flows slowly and sticks to the surface of the container. This difference in the flow of different kinds of liquids arises due to the fluid friction between the liquid layers and the liquid and the surrounding material. This property of fluids is called fluid viscosity. In this example, water has a lower viscosity than honey and maple syrup.
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The various IMFs between identical molecules of a substance are examples of cohesive forces. The molecules within a liquid are surrounded by other molecules and are attracted equally in all directions by the cohesive forces within the liquid. However, the molecules on the surface of a liquid are attracted only by about one-half as many molecules. Because of the unbalanced molecular attractions on the surface molecules, liquids contract to form a shape that minimizes the number...
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Viscosity measures the resistance a fluid offers to flow and deformation. It results from internal friction between layers of fluid moving relative to one another. Dynamic viscosity, denoted by the Greek letter mu (μ), quantifies the force needed to move one fluid layer over another. For Newtonian fluids like water and air, the relationship between the shearing stress and the rate of shearing strain is linear, meaning their viscosity remains constant regardless of the applied stress.
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Limiting Reactant02:27

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The number e is a fundamental constant in calculus, playing a central role in describing continuous change, particularly exponential growth. It is most naturally defined through its relationship with the natural logarithm, which is the inverse of the exponential function with base e. This relationship allows e to be characterized using basic principles of differentiation rather than as an arbitrary numerical constant.A key property of the natural logarithm function, ln x, is that its derivative...
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The central limit theorem, abbreviated as clt, is one of the most powerful and useful ideas in all of statistics. The central limit theorem for sample means says that if you repeatedly draw samples of a given size and calculate their means, and create a histogram of those means, then the resulting histogram will tend to have an approximate normal bell shape. In other words, as sample sizes increase, the distribution of means follows the normal distribution more closely.
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A Threshold-Limited Fluorescence Probe for Viscosity.

Zuhai Lei1,2, Kai Xin1, Shaobing Qiu1

  • 1State Key Laboratory of Bioreactor Engineering, Shanghai Key Laboratory of Chemical Biology, School of Pharmacy, East China University of Science and Technology, Shanghai, China.

Frontiers in Chemistry
|May 30, 2019
PubMed
Summary
This summary is machine-generated.

New fluorescent probes offer threshold-limited viscosity detection, distinguishing physiological from pathological changes. VPZ3 shows promise for in vitro bioimaging, enabling precise cellular viscosity assessment.

Keywords:
fluorescenceprobethreshold-limitedtwo-photonviscosity

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Area of Science:

  • Biochemistry
  • Chemical Biology
  • Biophysics

Background:

  • Cellular viscosity is a key biomarker for pathological conditions.
  • Existing fluorescent viscosity probes typically show linear responses to viscosity changes.
  • There is a need for probes that detect viscosity above a specific threshold.

Purpose of the Study:

  • To develop novel, threshold-limited fluorescent viscosity probes.
  • To design probes that only activate fluorescence above a critical viscosity.
  • To complement existing linear-response viscosity probes.

Main Methods:

  • Design and synthesis of novel dyes (VPZ2 and VPZ3) with two distant floppy sites.
  • Spectral titration to evaluate viscosity-dependent fluorescence.
  • In vitro bioimaging using one-photon and two-photon excitation.

Main Results:

  • VPZ3 demonstrated a threshold-limited fluorescence response.
  • VPZ3 was successfully applied for in vitro bioimaging of viscosity.
  • The probe functions effectively under both one-photon and two-photon excitation.

Conclusions:

  • VPZ3 is a novel threshold-limited fluorescent probe for viscosity.
  • This probe is suitable for in vitro bioimaging applications.
  • The design principle can be extended to create tailored viscosity sensors.