Symbol | Definition |
---|---|

ω_{r}
| First natural frequency |

k
_{C}
| Linear spring constant |

ω_{r}
^{A}
| First natural frequency after protein layer attachment |

ω_{r}
^{B}
| First natural frequency after target analyte capture |

m
_{C}
| Effective mass of the cantilever |

m
_{A}
| Effective mass of the protein layer |

m
_{B}
| Mass of the target analyte biomolecule |

Δω_{r}
^{A}
| Change in resonant frequency after protein layer attachment |

Δω_{r}
^{B}
| Change in resonant frequency after target analyte biomolecules capture |

k
_{C+A}
| Linear spring constant of the cantilever after protein layer attachment |

L
_{C}
| Length of cantilever beam |

W
_{C}
| Width of cantilever beam |

t
_{C}
| Thickness of cantilever beam |

t
_{A}
| Thickness of protein layer |

A
_{C}
| Surface area of cantilever beam |

L
_{C,T}
| Transition length of cantilever that predicts reversal of sign of Δω_{r}
^{A} after protein layer attachment |

t
_{C,T}
| Transition thickness of cantilever that predicts reversal of sign of Δω_{r}
^{A} after protein layer attachment |

E
_{comp}
| Young’s modulus of the composite protein/cantilever layer |

ρ_{comp}
| Density of the composite protein/cantilever layer |

ρ_{C}
| Density of the cantilever material |

ρ_{A}
| Density of the protein layer |

k
_{B}
| Boltzmann’s constant |

T
| Temperature of surrounding medium |

B
| Measurement bandwidth |

Q
| Unloaded quality factor of cantilever beam |

〈Â〉 | Square root of the mean-square amplitude of the vibration of the cantilever |