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using Winston
function doPlot(V_in, k_l, k_p, K_m)
dt = 0.2
tlast = 1000
iterations = integer(round(tlast/dt))
ATPall = zeros(Float64, (iterations, 1))
Gall = zeros(Float64, (iterations, 1))
ATP = 4
G = 3
for i = 1:iterations
ATPall[i] = ATP
Gall[i] = G
dATPdt = 2 * k_l * G * ATP - (k_p * ATP) / (ATP + K_m)
dGdt = V_in - k_l * G * ATP
ATP = ATP + dATPdt * dt
G = G + dGdt * dt
end
tall = dt*(0:iterations-1)'
figure()
hold(true)
plot(tall, ATPall, color="red")
plot(tall, Gall, color="blue")
hold(false)
xlabel("Time")
println("max(G) = ", maximum(Gall))
println("max(ATP) = ", maximum(ATPall))
# max(G) = 20.97673324771467
# max(ATP) = 18.65978074314273
title("")
end
doPlot(0.36, 0.02, 6, 12.0)
function doXY(V_in, k_l, k_p, K_m)
dt = 0.2
tlast = 1000
iterations = integer(round(tlast/dt))
ATPall = zeros(Float64, (iterations, 1))
Gall = zeros(Float64, (iterations, 1))
ATP = 4
G = 3
for i = 1:iterations
ATPall[i] = ATP
Gall[i] = G
dATPdt = 2 * k_l * G * ATP - (k_p * ATP) / (ATP + K_m)
dGdt = V_in - k_l * G * ATP
ATP = ATP + dATPdt * dt
G = G + dGdt * dt
end
tall = dt*(0:iterations-1)'
figure()
hold(true)
plot(Gall, ATPall, color="red")
hold(false)
xlabel("G")
ylabel("ATP")
end
function testStability(V_in, k_l, k_p, K_m)
dt = 0.05
tlast = 2000
iterations = integer(round(tlast/dt))
ATPall = zeros(Float64, (iterations, 1))
Gall = zeros(Float64, (iterations, 1))
ATP = 4
G = 3
for i = 1:iterations
ATPall[i] = ATP
Gall[i] = G
dATPdt = 2 * k_l * G * ATP - (k_p * ATP) / (ATP + K_m)
dGdt = V_in - k_l * G * ATP
ATP = ATP + dATPdt * dt
G = G + dGdt * dt
end
#deltaATP = maximum(ATPall[length(ATPall)/2:end]) - minimum(ATPall[length(ATPall)/2:end])
#deltaG = maximum(Gall[length(Gall)/2:end]) - minimum(Gall[length(Gall)/2:end])
#return (deltaATP, deltaG)
return (maximum(ATPall[length(ATPall)/2:end]),
minimum(ATPall[length(ATPall)/2:end]),
maximum(Gall[length(Gall)/2:end]),
minimum(Gall[length(Gall)/2:end]), )
end
function doBistable()
x = 0.1:0.05:1.6
varATP = zeros(length(x))
varG = zeros(length(x))
ATP_h = zeros(length(x))
ATP_l = zeros(length(x))
G_h = zeros(length(x))
G_l = zeros(length(x))
for i=1:length(x)
(a_h, a_l, g_h, g_l) = testStability(x[i], 0.02, 6, 12.0)
varATP[i] = a_h - a_l
varG[i] = g_h - g_l
ATP_h[i] = a_h
ATP_l[i] = a_l
G_h[i] = g_h
G_l[i] = g_l
println((a_h, g_h))
end
figure()
hold(true)
plot(x, varG, color="blue")
plot(x, varATP, color="red")
xlabel("V_in")
ylabel("Stability")
hold(false)
title("Stability plot")
figure()
hold(true)
plot(x, G_h, color="blue")
plot(x, G_l, color="blue")
plot(x, ATP_h, color="red")
plot(x, ATP_l, color="red")
xlabel("V_in")
ylabel("Value")
hold(false)
title("Values plot")
end
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