row should be replaced with beta in equztion **Problem 3:**Human umbilical vein endothelial cells are cultured on the inside of a 10 cm long tube that has an internal diameter of 3 mm. Culture medium flows through the tube at a rate of 1 mL/s. The cells secrete a cytokine, VEGF, at a rate \( n_{\text{VEGF}} = k \tau_{\text{wall}} \), where \( k \) is an unknown constant with units of ng/(dyne s). The flow in the tube is not fully developed, and the shear stress is known to vary with axial position according to \( \tau_{\text{wall}} = \tau_0 (1 - \beta x) \), where \( \beta = 0.02 \, \text{cm}^{-1}, \, \tau_0 = 19 \, \text{dyne/cm}^2 \), and \( x \) is the distance from the tube entrance. Under steady conditions a sample of medium is taken from the outlet of the tube, and the concentration of VEGF is measured to be 35 ng/mL in the sample. What is \( k \)?

Understanding how cells respond to their environment is a crucial puzzle piece. One such scenario…

Answered: Problem 3: Human umbilical vein…

Phlebotomy Essentials

6th Edition

ISBN:9781451194524

Author:Ruth McCall, Cathee M. Tankersley MT(ASCP)

Publisher:Ruth McCall, Cathee M. Tankersley MT(ASCP)

Chapter1: Phlebotomy: Past And Present And The Healthcare Setting

Section: Chapter Questions

Problem 1SRQ

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