Deterministic vs. Stochastic Models - Revision history

Miwaters at 14:56, 6 December 2007

2007-12-06T14:56:38Z

Miwaters at 14:53, 6 December 2007

2007-12-06T14:53:13Z

Miwaters at 02:41, 6 December 2007

2007-12-06T02:41:38Z

Miwaters at 02:41, 6 December 2007

2007-12-06T02:41:25Z

Miwaters at 00:47, 6 December 2007

2007-12-06T00:47:07Z

Miwaters at 00:46, 6 December 2007

2007-12-06T00:46:50Z

Miwaters at 00:45, 6 December 2007

2007-12-06T00:45:26Z

Miwaters at 00:17, 6 December 2007

2007-12-06T00:17:06Z

Miwaters at 00:13, 6 December 2007

2007-12-06T00:13:13Z

Miwaters at 00:12, 6 December 2007

2007-12-06T00:12:53Z

@@ Line 1: / Line 1: @@
 =The Two Equations Used to Model Gene Expression=
 <b>Determinisic</b> <br>
-A deterministic equation uses a rate equation to describe the transcription and translation of genes. Deterministic equations are characterized as behaving predictably; more specifically a single input will consitently produce the same output. Returning to one of the Collins graphs, the blue lines represent the deterministic model for protein production and the red line represents a corresponding stochastic model (figre 1).
+A deterministic equation uses a rate equation to describe the transcription and translation of genes. Deterministic equations are characterized as behaving predictably; more specifically a single input will consistently produce the same output. Returning to one of the Collins graphs, the blue lines represent the deterministic model for protein production and the red line represents a corresponding stochastic model (figure 1).
 <br><br><center>
 '''Figure 1'''
@@ Line 28: / Line 28: @@
 <br>
 <br>
-Here are two visual representation of stochastic models. In the first, nodes represent states of molecular complexes while arrows represent binding of transcriptional, translational and degredation proteins. The second also depicts transcription and translation but goes into detail about competition for the leader region mRNA binding between degradosomes and protiens that induce translation (MRu represents the leader region of mRNA).
+Above are two visual representation of stochastic models (Figure 2,3). In the first stochastic model (Figure 2), nodes represent states of molecular complexes while arrows represent binding of transcriptional, translational and degradation proteins. The second stochastic model (Figure 3) also depicts transcription and translation factors, but also represents competition for binding to the leader region mRNA  between degradosomes and proteins that induce translation (MRu represents the leader region of mRNA).
 <br><br><br>
 <center>[[Noise as a Variable |Next Section in Modeling Stochasticity]] | [[Modeling Stochasticity | Back to Modeling Stochasticity]]</center>

@@ Line 1: / Line 1: @@
 =The Two Equations Used to Model Gene Expression=
 <b>Determinisic</b> <br>
-A deterministic equation uses a rate equation to describe the transcription and translation of genes. Deterministic equations are characterized as behaving predictably; more specifically a single input will consitently produce the same output. Returning to one of the Collins graphs, the blue line represents the deterministic model and the red line represents the stochastic model (figre 1).
+A deterministic equation uses a rate equation to describe the transcription and translation of genes. Deterministic equations are characterized as behaving predictably; more specifically a single input will consitently produce the same output. Returning to one of the Collins graphs, the blue lines represent the deterministic model for protein production and the red line represents a corresponding stochastic model (figre 1).
 <br><br><center>
 '''Figure 1'''

@@ Line 23: / Line 23: @@
 '''Figure 3'''
 <br>
-[[Image:Stochastic_model3.png| 300 px]]
+[[Image:Stochastic_model3.png]]
 <br>
 Figure 3 was obtained at http://www.pnas.org/cgi/content/abstract/99/20/12795 permission pending

@@ Line 23: / Line 23: @@
 '''Figure 3'''
 <br>
-[[Image:Stochastic_model3.png]]
+[[Image:Stochastic_model3.png| 300 px]]
 <br>
 Figure 3 was obtained at http://www.pnas.org/cgi/content/abstract/99/20/12795 permission pending

@@ Line 26: / Line 26: @@
 <br>
 Figure 3 was obtained at http://www.pnas.org/cgi/content/abstract/99/20/12795 permission pending
 <br>
 Here are two visual representation of stochastic models. In the first, nodes represent states of molecular complexes while arrows represent binding of transcriptional, translational and degredation proteins. The second also depicts transcription and translation but goes into detail about competition for the leader region mRNA binding between degradosomes and protiens that induce translation (MRu represents the leader region of mRNA).

@@ Line 14: / Line 14: @@
 Stochastic models take into account the "randomness" of transcription and translation by utilizing variables for the formation and decay of single molecules and multi-component complexes.
 <br>
+Figure 2
 [[Image:Stochastic_model_4.png]]
 [[Image:Stochastic_model3.png]]
 <br>

@@ Line 6: / Line 6: @@
 <br>
 [[Image:Protein_level_effects_(vs_determinisitic_equations).png| 500 px]]
-<br> Figure 1 was obtained at http://www.ncbi.nlm.nih.gov/sites/entrez?db=pubmed&uid=15883588&cmd=showdetailview&indexed=google permission pending <center/>
+<br> Figure 1 was obtained at http://www.ncbi.nlm.nih.gov/sites/entrez?db=pubmed&uid=15883588&cmd=showdetailview&indexed=google permission pending </center>
 <br>
 Figure 1 displays a stochastic function superimposed on a corresponding deterministic function.