plugin-proj3

# plugin-proj3 - Math245 Final Project Part III Due Friday...

This preview shows pages 1–2. Sign up to view the full content.

Math245 Final Project - PartIII Due:Friday,May1 Consider the model for lead transport in the human body deﬁned by the block diagram as shown below. 1 Blood x 1 ( t ) 2 Tissue x 2 ( t ) 3 Bones x 3 ( t ) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....... ....... ...................................... . . . . . . . . . . . . . k 12 x 2 k 21 x 1 ...................................... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....... ....... k 13 x 3 k 31 x 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . g 1 ( t ) Lead input . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . k 01 x 1 Kidneys . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . k 02 x 2 Hair, nails, sweat Figure 1: Lead transport in the body. The dependent variables x 1 , x 2 and x 3 are the amount of lead contained in blood, tissues and bones, respectively. The mathematical model of the rate changes of these variables with respect to time t is given by the the following system of ODEs:

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 2

plugin-proj3 - Math245 Final Project Part III Due Friday...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online