1. Matlab Model

2. Assumptions Use the photosynthetic factory model.
Assume light intensity is constant, not a function of anything.
All cells are initially in the inactive state.
For the 1st runs, assume Me=0
For the 2nd run, set Me= h-1
All the constants are from Merchuk et. al. 1996, 2000,2004)
The algae strain they used was Porphyridum sp.

3. Matlab Code function algae2() tspan=[0 10000]; xzero=[1 0 8000 0];
xzero);
x(:,4)=1-x(:,1)-x(:,2);
figure (1)
plot(t, x(:,3))
hold
figure (2)
plot(t,x(:,1), t,x(:,2), t, x(:,4))
end
function dxdt=dalgaedt(t,x)
alpha= ;
beta=5.7848e-7;
gamma=0.1460;
delta= ;
k=3.6467e-4;
Io=250;
Me= 0;
dxdt=zeros(size(x));
dxdt(1)=(-alpha*Io*x(1))+(gamma*x(2))+(delta*(1-x(1)-x(2)));
dxdt(2)=(alpha*Io*x(1))-(gamma*x(2))-(beta*Io*x(2));
dxdt(3)=(k*gamma*x(2)*x(3))-(Me*x(3));

4. For Me=0, xo=106 cell/ ml ,x1=1, t=10000s,

5. For Me=1.6411e-5, xo=106 cell/ ml ,x1=1, t=10000s,

6. What’s Next
Add the light intensity as a function of cell concentration.
Include the dimensions of the system in the calculations.