From 2007.igem.org

Revision as of 04:38, 22 October 2007 (view source) Hiro (Talk | contribs) ← Older edit		Revision as of 13:42, 23 October 2007 (view source) Akama (Talk | contribs) Newer edit →
Line 1:		Line 1:
-	次に，個体数をN個体にした式で表してみる．	+	Next, to consider the number of cells,the differential equations for multiple cells were given as
-		+
-	また，AHLは細胞膜をfreelyに透過と論文に記載あり．よって，細胞の中と外のAHLは同じとした．	+
-		+
-	Next, introduce the equation with the number of the cells expressed as n.	+
-	Here the concentration of AHL is assumed the same inside and outside of a cell according to the description that AHL is freely permiable through cell membrane in the referenced article.	+
	<br>[[Image:expression4-1.jpg|400px|]]		<br>[[Image:expression4-1.jpg|400px|]]
-	<br>ここでもこれまでと同様相平面解析を行う．その際，N個体中の１個体に着目して相平面解析を行う.	+	<br>where N indicates the number of the cells.
-		+
-	<br>定常状態では，	+
-	<br>Analyze the phaseplane with the focus on an individual among n cells.	+	<br>In the steady state,time derivatives are zero.As a result,the nullclines of this system were derived as
-	<br>In the steady state,	+
	<br>[[Image:expression4-2.jpg|400px|]]		<br>[[Image:expression4-2.jpg|400px|]]
-	<br>となり，3番目の式を2番目の式に代入する．
	<br>and then substitute the third equation into the second		<br>and then substitute the third equation into the second
	[[Image:parameter4-1.jpg|thumb|150px|]]		[[Image:parameter4-1.jpg|thumb|150px|]]
	<br>[[Image:expression4-3.jpg|400px|]]		<br>[[Image:expression4-3.jpg|400px|]]
-	<br>パラメータは右の表の値を用いた．相平面解析を行った結果，	+	<br>To analyze the equations, the values in the right table were used.
-	<br>The aprameter were determined by the values in the right table. The result of the phaseplane analysis,	+

---

Revision as of 13:42, 23 October 2007

Next, to consider the number of cells,the differential equations for multiple cells were given as

where N indicates the number of the cells.

In the steady state,time derivatives are zero.As a result,the nullclines of this system were derived as

and then substitute the third equation into the second

To analyze the equations, the values in the right table were used.