Computational Biology Part 18 Biochemical Kinetics IV Robert

Solving a single differential equation using Maple (Define the differential equation dy/dx=6 x+2 using the diff operator, assigning the equation to the name deq 1) (Integrate analytically using dsolve) (Integrate using boundary condition y(0)=5) (Integrate using boundary condition y(0)=a) (Integrate dy/dx=bx+c analytically) (Integrate using boundary condition y(0)=a)

Solving a single differential equation using Maple (Define values for constants a, b, c) (Substitute for constants using subs) (Use subs to convert the solution that is in the form of an equation (y(x)=. . . ) to a functional form for plotting) (Plot the function using plot)

Solving a set of differential equations numerically using Maple (Define the differential equations for the enzyme catalyzed reaction discussed in Part 15)

Solving a set of differential equations numerically using Maple (Plot the solutions using odeplot) (Plot the phase planes using odeplot)

Reading for next class Yeargers, Sections 7. 10 through 7. 12 (pp. 220 -233)

Other systems for exploration The following slides describe two additional biochemical systems that can be modeled by simple modifications of the model already developed.

Biochemical System 2 Reversable catalysis.

Biochemical System 2

Biochemical System 3 Catalytic byproduct.

Biochemical System 3