Describe the meaning of the dimensionless groups

Assignment Help Electrical Engineering

Reference no: EM131140605

Kinetics of differentiation/feedback control in a compartmental model.

a. Consider a 6-stage differentiation process (N ¼ 6), in which the last population,X6, produces a cytokine,G, at a per cell rate of qG. This cytokine has a half-life t0:5( ¼ 2 hrs) and influences the growth rate of the stem cells (i.e., u1 ¼ fn([G]), where [G] is the concentration of the growth factor G. Extend the base set of differential equations to describe the dynamics of [G].

b. Incorporate into the equations

where K is the binding constant for the growth factor. What does the function f([G]) describe physiologically

c. Make the equations dimensionless using the growth rate as the scaling factor for time and K for the cell concentration.

d. Describe the meaning of the dimensionless groups and estimate their numerical values.

e. Obtain the numerical values for a simulation starting from a single stem cell. Examine the effect of varying the numerical values of the parameters.

f. Obtain the numerical values for a simulation starting from the steadystate solution and perturb the value of X3 by 20%. Discuss your results.

Reference no: EM131140605

Questions Cloud

Briefly describe the four phases of wound healing : Briefly describe the four phases of wound healing.

Was primary engine fueling the expansion of the us economy : Was the primary engine fueling the expansion of the U.S. economy. The largest sector of the U.S. economy is the __________ sector. In __________ Alaska and Hawaii were added to the United States.

What is the minimum cost of crashing the project by 3 days : What is the minimum cost of crashing the following project by 3 days?

What are the fundamental values of american democracy : What is sovereignty and how is it threatened in our globalized world? What are the fundamental values of American democracy? How are these values show in the two dilemmas of government

Describe the meaning of the dimensionless groups : Obtain the numerical values for a simulation starting from the steadystate solution and perturb the value of X3 by 20%. Discuss your results.

Describe the physical geography of middle america : Describe the Physical Geography of Middle America as outlined in chapter two. Discuss the relationship between population distribution and physiography as presented in your text.

How are specific oxygen uptake rates measured : Use a one-dimensional analysis of the diffusion of oxygen into a layer of adherent cells to show that the maximum oxygen delivery per unit area (Noxmax) in Example Problem 7.7 is given by

How pictorialistists chose their subjects or themes : Why it is considered a movement ? How Pictorialistists chose their subjects/themes ? Reasons for using gum bichromate and platinum, etc. Relationships with other visual arts.

Build an illustrative fictional case study : For this assignment, build an illustrative, fictional case study. - Identify an organization, which becomes the foundation for the fictional case.

User Account

All Pages