A major problem in the successful design of implantable tissues is the availability of oxygen for respiring tissues, which is determined by the spatial access of tissues to 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 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 the Krogh cylinder problem yields an expression for the critical distance into the tissue, beyond which no more solute is available, denoted by rent 4D,C where crit Parameters given by Fournier (1999) are: Dr metabolite tissue diffusivity 8 x 106 cma/s V blood plasma velocity 0.005 cm/s re capillary radius 0.0005 cm tm capillary wall thickness 5 x 10.s cm Ko overall metabolite mass transfer rate 5.75 x 10-s cm/s Co 5 umole/cms Ro 0.01 umole/(cma s) Using the Newton-Raphson method, solve the above equation for font as a function of z. (Hint evaluate the root of the Krogh Cylinder equation for z). Vary z from 0.001 to 0.1 cm in increments of 0.01 cm. Plot rent versus z. arch