Example Application of the DSS Routines

The files in this folder pertain to an application of the dss routines,
specifically, the chemotaxis model in Chapter 1 of the forthcoming book 
(scheduled for late 2013)

Differential Equation Analysis in Biomedical Science and Engineering
         Partial Differential Equation Applications with R

Briefly ,the files are chap1a.pdf (a manuscript file) and a series of 
R files (with the extension .R).  Here are some details about the latter:

  Note the use of deSolve in each of the main programs that must be 
  downloaded (this can be done from http://cran.fhcrc.org/ or with 
  Rstudio via Packages menu); for example, in the main program
  chemo_lsodes_1.R, deSolve is accessed as

    #
    # Library of R ODE solvers
      library("deSolve")

  Note also that the directory where the subordinate routines reside
  must be declared in each of the main programs, e.g., in the main 
  program chemo_lsodes_1.R

    #
    # Access functions for numerical, analytical solutions
      setwd("c:/R/bme_pde/chap1");
      source("chemo_1.R");
      source("u1_anal.R");
      source("u2_anal.R");
      source("dss004.R");
 
  A forward slash / is used in place of the usual backslash \ in the
  setwd (set working directory).  Also, the name of the working directory
  where the files reside may have to be changed for the local computer. 

  The R files pertaining to the listings in chap1a.pdf are:

  chemo_lsodes_1.R    Listing 1.1
  chemo_1.R           Listing 1.2
  u1_anal.R           Listing 1.3a
  u2_anal.R           Listing 1.3b
  dss004.R  

  chemo_lsodes_2.R    Listing 1.4 
  chemo_1.R           Listing 1.2
  u1_anal.R           Listing 1.3a
  u2_anal.R           Listing 1.3b
  dss004.R