# BME494s2013 Project Team2

### From OpenWetWare

(Difference between revisions)

(→Testing: Modeling and GFP Imaging) |
(→Testing: Modeling and GFP Imaging) |
||

Line 179: | Line 179: | ||

[[Image:Another_Example_of_a_Mathematical_Model.gif |thumb|noframe|450px|right|Another example of a (very complex) mathematical model. [6]]] | [[Image:Another_Example_of_a_Mathematical_Model.gif |thumb|noframe|450px|right|Another example of a (very complex) mathematical model. [6]]] | ||

- | We used a previously published synthetic switch, developed by Ceroni et al., to understand how our system could potentially be modeled and simulated | + | We used a previously published synthetic switch, developed by Ceroni et al., to understand how our system could potentially be modeled and simulated. A mathematical model is a mathematical representation of system behaviors defined by the relationships between various system parameters. Parameters are simply different values that affect the behavior of the system. One could even use a simple algebraic equation to represent a mathematical model. In the following equation, |

<br> | <br> | ||

<center> y = 3x - 7 </center> | <center> y = 3x - 7 </center> | ||

the equation "3x - 7" would be a mathematical model of the system y. Because the value of x affects the ultimate value of y, x would be a parameter of this system. | the equation "3x - 7" would be a mathematical model of the system y. Because the value of x affects the ultimate value of y, x would be a parameter of this system. | ||

- | <!-- Continue this paragraph by explaining to a non-specialist what a mathematical model is and what parameter values are, in general. Include your network diagram illustration of the Ceroni et al. model and list all of the parameters you were able to map onto the model --> | + | <!-- Continue this paragraph by explaining to a non-specialist what a mathematical model is and what parameter values are, in general. Include your network diagram illustration of the Ceroni et al. model and list all of the parameters you were able to map onto the model DID THAT HAHAHAHA BITCHEZZZ --> |

- | + | ||

+ | '''AN INTERACTIVE MODEL''' | ||

+ | <br> | ||

+ | We used a model of the natural Lac operon to understand how changing the parameter values changes the behavior of the system. Some of the parameters that were used to describe its behavior are as follows:<br> | ||

* <b>Mu</b> - Describes the dilution of the system input, or IPTG. A mathematical way of thinking about this would be to take IPTG concentration as a percentage of cell volume, or [IPTG]/cell volume.<br> | * <b>Mu</b> - Describes the dilution of the system input, or IPTG. A mathematical way of thinking about this would be to take IPTG concentration as a percentage of cell volume, or [IPTG]/cell volume.<br> | ||

* <b>Gamma_M</b> - Every protein in a cell has a limited lifespan; at some point, chemical reactions will occur that degrade it or cause it to lose its functionality. Gamma_M represents the degradation rate of M, M being the concentration of mRNA for Bgal (β-galactosidase) in the cell.<br> | * <b>Gamma_M</b> - Every protein in a cell has a limited lifespan; at some point, chemical reactions will occur that degrade it or cause it to lose its functionality. Gamma_M represents the degradation rate of M, M being the concentration of mRNA for Bgal (β-galactosidase) in the cell.<br> | ||

Line 219: | Line 222: | ||

- | |||

- | |||

- | |||

<!-- Continue this paragraph by explaining how you interacted with the MatLab model. Include two or more images showing different output curves that were generated when you altered the IPTG concentration --> | <!-- Continue this paragraph by explaining how you interacted with the MatLab model. Include two or more images showing different output curves that were generated when you altered the IPTG concentration --> | ||

## Revision as of 01:38, 26 April 2013

**Home**
**People**
**Course Projects**
** Course Materials**
**Schedule**
**Photos**
**Wiki Editing Help**