On scaling laws of biosensors: A stochastic approach

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作者
Das, Shreepriya [1 ]
Vikalo, Haris [1 ]
Hassibi, Arjang [1 ]
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[1] Department of Electrical and Computer Engineering, University of Texas at Austin, Austin, TX 78712, United States
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Journal of Applied Physics | 2009年 / 105卷 / 10期
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We study the scaling laws of affinity-based biosensors. In particular; we examine the implications of scaling on the response time; signal-to-noise ratio (SNR); and dynamic range (DR) of biosensor systems. Initially; using stochastic differential methods and particularly Fokker-Planck (FP) equation; we formulate the analyte capturing process and derive its uncertainty by computing the probability distribution function of the captured analytes as a function of time. Subsequently; we examine the effects of scaling on the solution to the FP equation and the signal fluctuation; which demonstrates that scaling down significantly reduces the achievable SNR and DR of biosensors. We argue that these results question the advantages of excessive miniaturization of biosensors; especially the fundamental SNR limitation; which transpire in the micro- and nanoregimes. © 2009 American Institute of Physics;
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