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Dimensional Analysis03:40

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Dimensional analysis, also known as the factor label method, is a versatile approach for mathematical operations. The main principle behind this approach is: the units of quantities must be subjected to the same mathematical operations as their associated numbers. This method can be applied to computations ranging from simple unit conversions to more complex and multi-step calculations involving several different quantities and their units.
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Dimensional analysis is a valuable technique in fluid mechanics for simplifying complex problems by reducing them into dimensionless groups. These groups capture the essential relationships between the variables involved, allowing researchers and engineers to analyze fluid flow without dealing with each variable individually. This approach reduces the number of independent variables, allowing for easier analysis and better understanding of physical phenomena.
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Dimensional analysis is a powerful tool that is used in physics and engineering to understand and predict the behavior of physical systems. The basic idea behind dimensional analysis is to express physical quantities in terms of fundamental dimensions such as the mass, length, and time. Derived dimensions like the velocity, acceleration, and force are derived from the combinations of these fundamental dimensions.
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The concept of dimension is important because every mathematical equation linking physical quantities must be dimensionally consistent, implying that mathematical equations must meet the following two rules. The first rule is that, in an equation, the expressions on each side of the equal sign must have the same dimensions. This is fairly intuitive since we can only add or subtract quantities of the same type (dimension). The second rule states that, in an equation, the arguments of any of the...
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A two-dimensional system in mechanical engineering involves the analysis of motion and forces in a plane. A two-dimensional force vector can be resolved into its components as:
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Biofunctionalization of Magnetic Nanomaterials
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Biofunctionalized two-dimensional Ti

Saurabh Kumar1, Yongjiu Lei1, Niman H Alshareef2

  • 1Physical Sciences and Engineering Division and Computer, Electrical and Mathematical Sciences and Engineering Division, King Abdullah University of Science & Technology (KAUST), Thuwal, 23955-6900, Saudi Arabia.

Biosensors & Bioelectronics
|September 17, 2018
PubMed
Summary
This summary is machine-generated.

This study presents a novel biosensor using functionalized Ti3C2-MXene nanosheets for ultrasensitive detection of cancer biomarkers. The developed sensor offers a wide linear detection range and high sensitivity, paving the way for advanced diagnostics.

Keywords:
2D nanomaterialBiosensorCancer biomarkerTi(3)C(2)-MXene

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Area of Science:

  • Materials Science
  • Nanotechnology
  • Biomedical Engineering

Background:

  • Ultrashiny Ti3C2-MXene nanosheets offer unique properties for biosensing applications.
  • Functionalization of MXene with aminosilane enhances bio-receptor immobilization.
  • Label-free electrochemical detection is crucial for sensitive biomarker quantification.

Purpose of the Study:

  • To develop an ultrasensitive, label-free electrochemical biosensor for cancer biomarker detection.
  • To functionalize Ti3C2-MXene nanosheets with anti-CEA for specific carcinoembryonic antigen (CEA) detection.
  • To optimize the biosensor performance using suitable redox probes.

Main Methods:

  • Synthesis of ultrathin Ti3C2-MXene nanosheets via layer delamination.
  • Covalent functionalization of MXene with aminosilane and immobilization of anti-CEA antibodies.
  • Electrochemical characterization using various redox probes, including hexaammineruthenium ([Ru(NH3)6]3+).

Main Results:

  • Optimized f-Ti3C2-MXene demonstrated superior electrochemical behavior with hexaammineruthenium.
  • The fabricated biosensor exhibited a wide linear detection range (0.0001-2000 ng/mL) for CEA.
  • High sensitivity of 37.9 µA ng-1 mL cm-2 per decade was achieved, surpassing existing 2D nanomaterials.

Conclusions:

  • The developed MXene-based biosensor provides a highly sensitive and reliable platform for CEA detection.
  • This work highlights the potential of functionalized MXene for developing advanced biosensors for various biomarkers.
  • The findings suggest future applications in early cancer diagnosis and drug delivery systems.