![]() This design often makes it easier to debug a complicated model. ![]() Then, you may want a separate cell for the commands that actually run the model. This internal documentation clarifies what each command does, and greatly speeds up debugging. It is also an excellent idea to add comments, using the delimiters (* and *). You can group all of these commands in a single cell as long as they are separated by semicolons. In general, for many of the models that you will build, it will be useful to have an initialization cell, which contains parameters, function definitions, and other material that you want to evaluate before you run your model. ![]() If you put semi-colons between the commands, Mathematica evaluates each statement in turn, and only provides output for the final statement. If you put two commands in the same cell without this, then Mathematica may think you are trying to multiply the two commands, and the results will be confusing and frustrating. The key to combining statements in a cell is the use of the CompoundExpression symbol, the semicolon ( ). This makes it less likely that if you copy and modify the code, you leave a command behind. ![]() However, once you are putting together a complex model, and have checked that the individual commands work, it is often useful to group the commands together. Even as you work on this question, you are encouraged to initially put commands in separate cells, evaluate them, and see that they work. Ordinarily, we encourage you to put every command in a separate cell. Creating a dynamic view of the vector field: The parts of the question will guide you through the steps necessary to reach the final goal of a working dynamic model.Ī. Much of the code that you need to do this is already available in Chapter 6. The goal is to use Manipulate to show the vector field, the nullclines, and the equilibrium points of the system as you vary a single control parameter, the cell size m. This problem will build on the skills you've learned so far in the course and in the previous problems to create a simulation of the dynamics of the cell cycle model described in this chapter and in Chapter 5.
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