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How does a poten8ometric Field E ect

Transistor

(accumula8on)

φ

 

 

 

DNA, Protein, etc.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Charge

φ

C0

Change in current proportional to the total charge

Alam,

,

11

Lecture 3: Sensi8vity Gain

b

I

a

= qN

D

π R 2

υ

 

 

a

 

Ra

bio

π Ra )

S (Ia Ib )

Ib

Rb

 

 

S ~ 2Nbio

ND R

Alam, Principles of Nanobiosensors, 2013

12

Concentra8on

Nbio

=

kF N0

ρ0

ρ0

Nbio

kF N0 ρ + kR

 

 

 

 

Kusnezow, 06

I = Q

ρ

Optical

L

 

 

 

response

13

of

Optical response

Response

Much weaker and completely wrong dependence!

of

Distributed

analyte

Need salt too!

ID

Alam, Principles of Nanobiosensors,

15

2013

 

and

of

16

The classical theory does not work …

S = 2Nbio RND (2qRND ) ρ0

•  Theory predicts linear response, experiments show strong sub-linear response.

•  Theory shows no dependence on salt concentration, pH, etc. and yet experiments show strong dependence.

•  There is no notion of time and yet experiments show strong time dependence.

 

(3 − DF )ln (t )

 

ln (I0 )

 

 

S (t ) ~ c1 ln (ρ0 ) +

 

 

 

α [ pH]

c3

2

2

 

 

 

Alam, Principles of Nanobiosensors, 2013

17

 

Conclusions

•  Two things define sensor sensitivity of a sensor: geometry of diffusion and transduction mechanism.

•  Geometry of diffusion defines the ultimate limit, while geometry and transduction together define sensor-specific limits.

•  Potentiometric, amperometric, and mass-sensors have long history.There are unique challenges of reducing the sensor dimensions to nanoscale.

•  Classical theory of potentiometric sensor cannot account for many features observed experimentally.

Alam, Principles of Nanobiosensors, 2013

18

Review Ques8ons

•  Why is sensitivity defined as a ratio of quantities before and after capture ? Shouldn’t the absolute value be more relevant? (Hint:Think noise)

•  What was the original use of potentiometric sensors?

•  Why is tagging important?

•  Give an example of amperometric sensor in wide use and can be purchased in any supermarket.

Alam, Principles of Nanobiosensors,

19

2013

 

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