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

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

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