Optimization examples

A brief description of the optimization methods implemented in BioUML as well as their application to non-linear models of biochemical processes can be found in the section Optimization problem.

Here we give some examples of how to use the BioUML software for parameter estimation.

Creation of an optimization document

Step to create a new optimization

BioUML allows performing parameter estimation of biochemical models represented as Diagram document via creation of a special optimization document.

You can start creating this document in two ways.

Go to the Data tab of the repository pane and select the appropriate directory to store your data in. For our example, we will use data > Examples > Optimization > Data > Documents. Click the left mouse button on the selected directory and choose the item New optimization in the pop-up menu.
Go to the Analyses tab of the repository pane. Find the list of available optimization methods in the tree under analyses > Methods > Optimization. Click the left mouse button on a method by which you want to perform parameter estimation and select New optimization in the pop-up menu.

After following one of these instructions, the input dialog opens. Сlick to the field Create optimization document and type a name for your optimization document. Then click to the field Diagram and indicate the diagram wchich parameters you want to estimate. In our example, we will use data/Examples/Optimization/Data/Diagrams/diagram_1A. When you click OK, a new optimization document appeares in the selected directory of the repository pane and the corresponding tab opens in the document pane to start the optimization execution.

The existing document can be opened by the double-click. If you want to remove a document, click the left mouse button on it and select the item "Remove". To save any changes in the document, press the button in the top panel of the framework.

The working area of the optimization document includes a window located in the lower right corner of the framework. It is designed to select the optimization options given into several tabs:

Parameters - contains all parameters of the diagram. Select the parameters which you want to fit, and click the up arrow . The list of the selected items appears in the table located above. In order to remove unnecessary items from this table, select them and click the down arrow . If you want to change the start values of some parameters, enter them in the column Initial value of the parameters tab and press the button in this tab. The relevant values are automatically changed in the column Value of the fitting table. You can define the search space by setting lower and upper bounds for each fitting parameter. You can also specify each parameter as local or global using tick in the column Local. It is assumed, that the global parameters take the same value for all experiments, while the local parameters have different values for different experimental groups. For more detailes, see description of the Experiments tab below.
Variables - contains all species of the diagram with the same options as the Parameters tab.
Experiments - contains information about experimental data used for the parameter estimation. Before creation of new experiment in the optimization document, you need to import experimental data file from your computer to the repository tree. For this perpose, you can, for example, use directory data/Examples/Optimization/Data/Experiments. Click the left mouse button on this directory and choose the item Import in the pop-up menu. Then click the button Computer in the opened dialog and find the required file in the file system of your computer. Note, that data in the file must represent time course or steady-state values of several species or parameters used in your diagram. To create new experiment in your optimization document, click the button and fill the following fields in the opened dialog:
- Name - an unique name for the optimization experiment.
- Diagram state - choose any diagram state in this field, then your experimental data will be approximated by the simulation results of the diagram modification identified by this state. If no states are defined in your diagram or you want to use diagram without modifications, leave this field empty.
- Experiment data - the path to the table with experimental data in the repository tree of BioUML.
To save any changes in the optimization experiment, press the button in the Experiments tab. To remove any unnecessary experiment, select it and press the button .
Constraints
Simulation
Optimization - contains the buttons to start and stop parameter estimation, draw the plots for visual presentation of results , and open a diagram showing the schematic structure of the optimization document . In this tab, you can choose one of the optimization methods and specify its options. Before start parameter estimation, click to the field Optimization result and specify an appropriate directory (e.g. data/Examples/Optimization/Data/Simulations/my_results). When you click to the start button, information about the calculation progress and the best (smallest) values found for the objective and penalty functions up to this time appears below the optimization method options.