IGEM:UNAM/2009/Notebook/Modeling logbook Claudia/2010/06/07

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Objective: Research the photon flux emitted by Vibrio fisheri

In the free-living state, Vibrio Fischeri emits < 0.8/photons/sec/cell and is present in the seawater at a concentration of 10 cells/ liter.

In the light organ of the Hawaiian sepiolid squid the bacteria grows to densities of approximately 10^10 cells/liter and the bacteria emit more than 800 photons/sec/cell.

So,

(10^10) cells * 800 photons = 8.0 × 10^12 photons/sec.

According to other data the maximum light emission of a bacterial cell is about 10^4 quanta/sec, meaning that to be seen, the cell density must be high, namely about 10^9 to 10^10 cells /ml.


(10^10) cells * (10^4)quanta/sec = 1.0 × 10^14 quanta/sec.


Thus, we expect a maximum light emission between 10^12 photons/sec and 10^14 quanta/sec.


Calculating the light intensity of the last photon flux, we have the next formula:

The photon flux density (Φ) at a given light intensity is:
 Φ= P/ E

where P is the light intensity in Watts and E the energy of a photon in Jules.

As we want to obtain P, the formula gives:

 P=  Φ * E

In this case Φ = 1 × 10^14 quanta/sec and to get the value of E we use the formula:

 E = hc / λ

With λ = 495 x 10^-9 m (495 nm), which is the wavelength emitted by the genes luxAB. The values of h and c were described in the previous entry (2010/04/06). click here

Substituting:

 E=  ((6.63 * (10^(-34))) * (3 * (10^8))) / (495 * (10^(-9)))
 E= 4.01818182 × 10^-19 J

Finally, we calculate the value of P:

 P= (1 × 10^14 )  *( 4.01818182 × 10^-19)
 P= 4.01818182 × 10^-5 W ~ 0.04mW per milliliter.

With 500ml at a cell density of 10^10 cells/ml, we could obtain 20mW.

  0.04mW/ml*500ml= 20mW.

And, LovTAP is saturated with 20 mW/cm^2 irradiance at 470 nm with 4.72599297 × 10^16 photons/s cm2. click here

References

Martyn Amos, 2004.Cellular computing.Series in systems biology Genomics and Bioinformatics.(P.133)

http://books.google.com.mx/books?hl=es&lr=&id=mHwr-ge7GHIC&oi=fnd&pg=PA120&ots=s44bj1DuL5&sig=QEQJOU_vz7S2ExeOgny2bn_RKes#v=onepage&q&f=false