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Magnetic nanoparticle barcode sensor
τ ~ L2 D
Sensor
In sum, a police-thief story!
Alam, Principles of Nanobiosensors, 2013 |
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Analytical solution: two limits
t |
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tS = |
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(1b) |
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4πDa0 |
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4πDa ρ |
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S |
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ρMP |
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0 |
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(ρMP ≥ ρT , NS =1) |
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(ρMP ≤ ρT , NS ≥1) |
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Alam, Principles of Nanobiosensors, 2013 |
7 |
Analytical solution (ρT < ρMP)
Capture probes are widely separated
∂∂ρt = D 2 ρ
ρs = 0
N (t)=CD(t)ρt |
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N (t)= 4πDa0 ρt |
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CD(t) = |
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D |
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−1 |
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ts = Ns 4πDa0 ρ |
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−1 |
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a0 − |
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Dt ) |
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No different than a spherical sensor
Alam, Principles of Nanobiosensors, |
8 |
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2013 |
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Analytical solution (ρT = ρMP)
Each MP captures on average one target particles, NS = 1
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∂ρ |
= D 2 |
ρ |
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∂t |
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ρ = 0 |
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N (t)=CD(t) |
ρt |
tS = NS |
4πDa0 ρ |
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D |
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CD(t) = |
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a0−1 −( |
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Dt |
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1 |
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N (t)= 4πDa0 ρt
Alam, Principles of Nanobiosensors, |
9 |
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2013 |
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