MATLAB reference tables

Appendix B gives reference tables on aspects of MATLAB that will be used in this book. 

For each session, we put the most important functions in a table for easy reference or review. The first one is on the basic commands and plotting. Try the commands as you read. You do not have to enter any text after the "%" sign. Any text behind a "%" is considered a comment and is ignored. We will save some paper and omit the results generated by MATLAB. If you need to see that for help, they are provided on our Web Support. There is also where we post any new MATLAB changes and upgrades. Features in our tutorial sessions are based on MATLAB Version 6.1, and Control System Toolbox 5.1. 

Note the Scores matrix is referred to as the T matrix in principal components analysis terminology. Let us look at what we have completed so far by showing the SVD calculations in MATLAB as illustrated in Table 22-1. 

This chapter serves three purposes (a) to provide a brief overview of PBPK modeling, (b) to present a tutorial on the issues and steps involved in the development of a PBPK model, and (c) to present an application and discuss relevant issues associated with model refinement, evaluation, parameter estimation, and sensitiv-ity/uncertainty analysis. First, some basic background information is provided, and references to important resources are presented. Then the process of developing a PBPK model is discussed, and a step-by-step description of a PBPK modeling example is provided, along with a brief discussion on relevant complementary issues such as model parameter estimation and sensitivity/uncertainty analysis. The example is presented in a manner that a novice PBPK modeler can follow the model structure, mathematical equations, and the code. Relevant cross-references between the equations, parameter tables, and the actual code is presented. Though the example is implemented in Matlab (5), it does not require substantial Matlab... 

The following section presents a step-by-step tutorial example of the implementation of a PBPK model for chloroform. The model has been coded in Matlab Version 7.0, and effort is made to design it in the form of a reference implementation that is easily extensible for PBPK models for other chemicals. A summary of the Matlab code is provided in Table 43.4, and code listings are presented in the appendix. 

Table 43.2 shows the general model parameters (excluding dermal) used in this modeling example, and Table 43.3 shows the dermal model parameters. For all the equations, cross-references are provided to the relevant lines of the Matlab code... 

Some examples of commonly used MATLAB functions, along with their proper use and descriptions, are shown in Table 15.7. Refer to Example 15.2 when studying Table 15.7. 

Using MATLAB> compute the average (arithmetic mean) and the standard deviation of the denrity of water data given in Table 15.9. Refer to Chapter 19> Section 19.4, to kam about what the value of tbe standard deviation for a set of data points represents. 

NOTE There is more than one possible steady-state condition that may be attained by the non-isothermal CSTR. In other words,, P", and T may each assume a value that is different but dependent on the other two. Moreover, the ode solver ode 15s (for a stiff system of ODEs) was used instead of ode45, for the latter went in vain. Consequently, if the user is stuck with the first-to-try method then he or she ought to use other MATLAB ode solvers. Please refer to Table 7.3 in Sec. 7.3 to see when to use one method over others. 

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