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A major problem in the successful design of implantable issues is the availability of oxygen for respiring tissues, which is determined by the spatial access
A major problem in the successful design of implantable issues is the availability of oxygen for respiring tissues, which is determined by the spatial access of tissues of blood capillaries that bring oxygen carrying red blood cells. A classic model in this field is the Krogh cylinder (Fournier, 1999). Imagine a tissue space with cells surrounding a cylindrical capillary. Oxygen and other metabolites arriving into the capillary axially due to the fresh flow of oxygenated blood will diffuse from the capillary radially toward the tissue, where they will be consumed by the cells. The solution of Krogh cylinder problem yields an expression for the critical distance into the tissue, beyond which no more solute is available, denoted by rcrit 4DTCo where yTcrit r-tt c nm Estimated parameters in human body are Dr = the metabolite tissue diffusivity = 9x10-8 cm2/s Vthe blood plasma velocity 0.006 cm/s rcapillary radius 0.0005 cm tm capillary wall thickness 5x10-5 cm Kooverall metabolite mass transfer rate 5.75x10-5 cm/s Co 6 umole/cms Ro0.01 umolel(cm3 s) Develop an M-file to generate plots of rrit (um) versus z and approximate error Ea versus z from 0.001 cm to 0.1 cm in increments of 0.01 cm. Specify the maximum allowed iterations and desired relative error when calling bisect.m and explain how you determine these two parameters. Note that default values do not guarantee convergence The figure should (1) include two y-arises to indicate rcrit and Ea respectively. (2) Include legend. (3) make rcrit blue solid line, sq red dashed line. An example figure is shown below
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