1. This is the Peclet number as written for solute transport in the interstitial fluid of tissues: Pet YUL Delf X = retardation coef.; u = interstitial fluid flow velocity; L= transport length; Deft = effective diffusion coef. A. (4 points) Please define the Peclet number (what it means in your own words) and explain how it is applied when applying a convection-diffusion equation to model solute transport in a tissue. To frame your answer, think about the convection-diffusion equation shown below that we analyzed in class. Recall that it was used to model solute transport in the brain under normal physiological conditions. Why was the second term on the right side of the equation dropped before solving? ac, + at ar2 rar -yu ar Delf () B. (2 points) How would the equation be written if you were modeling cerebral edema (Pot > 10). C. (2 points) Which coefficient in the Peclet number would change if the solute binds to the brain extracellular matrix? Would it increase or decrease the numerical value of the coefficient? D. (Bonus) (1 point) Peclet number changes due to solute binding in the extracellular matrix might not significantly affect the contribution of convection to solute transport. What additional information would you need to make this determination 1. This is the Peclet number as written for solute transport in the interstitial fluid of tissues: Pet YUL Delf X = retardation coef.; u = interstitial fluid flow velocity; L= transport length; Deft = effective diffusion coef. A. (4 points) Please define the Peclet number (what it means in your own words) and explain how it is applied when applying a convection-diffusion equation to model solute transport in a tissue. To frame your answer, think about the convection-diffusion equation shown below that we analyzed in class. Recall that it was used to model solute transport in the brain under normal physiological conditions. Why was the second term on the right side of the equation dropped before solving? ac, + at ar2 rar -yu ar Delf () B. (2 points) How would the equation be written if you were modeling cerebral edema (Pot > 10). C. (2 points) Which coefficient in the Peclet number would change if the solute binds to the brain extracellular matrix? Would it increase or decrease the numerical value of the coefficient? D. (Bonus) (1 point) Peclet number changes due to solute binding in the extracellular matrix might not significantly affect the contribution of convection to solute transport. What additional information would you need to make this determination