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SigmaPlot
SigmaPlot 酵素反応速度分析モジュール
Enzyme Kinetics Module 解析手法
Enzyme Kinetics Module 解析手法
基質なし
pH 依存性(6種)、初速度、熱変性、変性剤変性、指数減衰(4種)、直線
基質1個
基質1(6種)、基質1 – 阻害剤1(8種)、基質1 – 強結合阻害剤(4種)、酵素活性剤あり(Nonessential・SA Complex )
基質2個
基質2(3種)
組み込まれている各基質数での実験のタイプと式およびグラフの種類
■ 基質の数 = None
pH Rate Profile
Equations
Single pKa (Rising)
V
maxlim
/(1+10^(pK
a
-pH))
Single pKa (Falling)
V
maxlim
/(1+10^(pH-pK
a
))
Single pKa With Offset
(V
lim1
+V
lim2
*10^(pH-pK
a
))/(1+10^(pH-pK
a
))
Bell Shaped
(V
maxlim
/(1+10^(pK
a
-pH) + 10^(pH-pK
b
))
Bell Shaped With Plateau
V
maxlim
*alpha+10^(pK
b
-pH))/1+ 10^(pK
a
+pK
b
-2*pH)+10^(pK
b
-pH)+10^(pH-pK
c
))
Plateau Shaped
(V
maxpla
+V
maxlim
*10^(pH-pK
b
))/1+ 10^(pK
a
-pH)+10^(pH-pK
b
))
Graphs
y vs. pH
log(y) vs.pH
Residual Graphs
First Order Rate
Equations
First
limit*(1-exp(-k*t))
First + Offset
limit*(1-exp(-k*t))
Graphs
v vs.t
Residual Graphs
Protein Denaturant Melt
Equations
Denaturant Melt
ff*(ub-lb)+lb
Graphs
y vs. [Denaturant]
Residual Graphs
Protein Temperature Melt
Equations
Temperature Melt
ff*(lb-rb)+rb
Graphs
y (response) vs. Temperature
Residual Graphs
Exponential Decay
Equations
Single Exponential
y
max
*exp(-k*t)
Single Exponential + Offset
y
0
+y
max
*exp(-k*t)
Double Exponential
y
max1
*exp(-k
1
*t)+y
max2
*exp(-k
2
*t)
Double Exponential + Offset
y
0
+y
max1
*exp(-k
1
*t)+y
max2
*exp(-k
2
*t)
Graphs
y(residuals) vs. time
log(y) vs. t
Residual Graphs
Regression
Equations
Linear
y
0
+a*x
Graphs
y vs. x
Residual Graphs
■ 基質数 =
1
Single Substrate
Equations
Michaelis-Menten
v = V
max
*S/(K
m
+S)
Substrate Inhibition (Uncompetitive)
y= V
max
/(1+K
m
/S+S/K
i
)
Substrate Activation (Ordered)
v = V
max
*(S/K
s
)
2/alpha
/(1+S/K
s
+(S/K
s
)
2/alpha
)
Substrate Activation (Random)
v = V
max
*(S/K
s
)
2/alpha
/(1+S/K
s
+S/(K
s
/alpha)+(S/K
s
)
2/alpha
)
Hill
v = V
max
*S
n
/(K
m
n
+S
n
)
Isoenzyme
v = V
max1
*(S/K
m1
)/(1+S/K
m1
)+V
max2
*(S/K
m2
)/(1+S/K
m2
)
Graphs
Michaelis-Menten
Lineweaver-Burk
Eadie-Hofstee
Scatchard
Hanes-Woolf
Hill
Residual Graphs
Single Substrate – Single Inhibitor
Equations
Competitive (Full)
v = V
max
/(1+(K
m
/S)*(1+I/K
i
))
Competitive (Partial)
v = V
max
/(1+(K
m
/S)*(1+I/K
i1
)/(1+I/K
i2
))
Noncompetitive (Full)
v = V
max
/((1+I/K
i
)*(1+K
m
/S))
Noncompetitive (Partial)
v = V
max
/((1+K
m
/S)*(1+I/K
i
)/(1+I*beta/K
i
))
Mixed (Full)
v = V
max
/((K
m
/S)*(1+I/K
i
)+(1+I/(alpha*K
i
)))
Mixed (Partial)
v = V
max
*((1+beta*I/(alpha*K
i
))/(1+I/(alpha*K
i
)))/ (1+(K
m
/S)*(1+I/K
i
)/(1+I/(alpha*K
i
)))
Uncompetitive (Full)
v = V
max
/(1+I/K
i
+K
m
/S)
Uncompetitive (Partial)
v = V
max
*(1+beta*(I/K
i
))/(1+I/K
i
+K
m
/S)
Graphs
Michaelis-Menten
Lineweaver-Burk
Eadie-Hofstee
Scatchard
Hanes-Woolf
Hill
Dixon
Residual Graphs
Tight Binding Inhibitor
Equations
Competitive Tight
v
0
= V
max
/(K
m
/S+1)
K
ap
= K
i
*((S/K
m
)+1)
v = (v
0
/(2*E))*(E-I-K
ap
+sqrt((E-I-K
ap
)2+4*E*K
ap
))
Noncompetitive Tight
v
0
= V
max
/(K
m
/S+1)
v = (v
0
/(2*E))*(E-I-K
i
+sqrt((E-I-K
i
)2+4*E*K
i
))
Uncompetitive Tight
v
0
= V
max
/(K
m
/S+1)
K
ap
= K
i
*((K
m
/S)+1)
v = (v
0
/(2*E))*(E-I-K
ap
+sqrt((E-I-K
ap
)2+4*E*K
ap
))
Mixed Tight
E = 27
alpha = 5.6
v
0
= V
max
/(K
m
/S+1)
I
ap
= K
i
*((S/K
m
)+1)*alpha/(alpha+S/K
m
)
v = ((v
0
-v
inf
)/(2*E))*(((v
0
+v
inf
)/(v
0
-v
inf
))*E-I-I
ap
+sqrt((E-I-I
ap
)2+4*E*I
ap
))
Graphs
Michaelis-Menten
Lineweaver-Burk
Eadie-Hofstee
Scatchard
Hanes-Woolf
Hill
Dixon
Residual Graphs
Enzyme Activator – Nonessential
Equations
Nonessential
v = V
max
*(1+beta*A/(alpha*K
a
))/((K
m
/S)*(1+A/K
a
)+(1+A/(alpha*K
a
)))
Graphs
Michaelis-Menten
Lineweaver-Burk
Eadie-Hofstee
Scatchard
Hanes-Woolf
Hill
Residual Graphs
Enzyme Activator – SA Complex
Equations
Specific
v = V
max
*S/K
m
/(1+S/K
m
+K
a
/A)
Catalytic
v = V
max
*S/K
m
/(1+K
a
/A+S/K
m
*(1+K
a
/A))
Mixed
v = V
max
*S/K
m
/(1+K
as
/A+S/K
m
*(1+K
ac
/A))
Graphs
Michaelis-Menten
Lineweaver-Burk
Eadie-Hofstee
Scatchard
Hanes-Woolf
Hill
Residual Graphs
■ 基質数 =
2
Two Substrate
Equations
Random Bi-Bi (Sequential)
y = V
max
*A*B/(alpha*K
a
*K
b
+K
b
*A+K
a
*B)+A*B)
Ordered Bi-Bi (Sequential)
y = V
max
*A*B/(K
a
*K
b
+K
b
*A+A*B)
Ping Pong Bi-Bi (Nonsequential)
if ((A=0)(B=0), 0, y = V
max
*A*B/(K
b
*A+K
a
*B+A*B))
Graphs
Michaelis-Menten A
Michaelis-Menten B
Lineweaver-Burk A
Lineweaver-Burk B
Eadie-Hofstee A
Eadie-Hofstee B
Scatchard A
Scatchard B
Hanes-Woolf A
Hanes-Woolf B
Hill A
Hill B
Residual Graphs
ユーザー定義式の登録
以下の実験タイプには式を追加することが出来ます。
pH Rate Profile
First Order Rate
Protein Denaturant Melt
Protein Temperature Melt
Exponential Decay
Regression