Matlab Model

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=0.05908h-1 All the constants are from Merchuk et. al. 1996, 2000,2004) The algae strain they used was Porphyridum sp.

Matlab Code function algae2() tspan=[0 10000]; xzero=[1 0 8000 0]; [t,x]=ode45(@dalgaedt,tspan, 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=0.001935; beta=5.7848e-7; gamma=0.1460; delta=0.0004796; 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));

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

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

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