Masters Theses


Xianjie Qiu

Keywords and Phrases

Capillary; Diffusion; Extravascular Tissue; Interstitial Space; Lymph Flow; Plasma


"A model describing the flow of plasma from the capillaries to the interstitial space in the extravascular tissue and back into the capillaries is constructed and solved. The flow through the tissue or the interstitial spaces is described by the Brinkman equation for porous medium, modified to account for the presence of cells considered as spheres. The flow of blood through the capillaries is considered to be that of a Newtonian fluid. The flow between capillary and tissue is coupled by the permeability of the capillary wall. The nature of flow and its magnitude was found to be highly dependent on the values of the coupling constants which relate the resistances to plasma flow in the extravascular space and the capillary. The flow in the extravascular tissue is found to be very low. The flow profiles show that there is mixing of the interstitial fluid in the extravascular tissue. It is shown here that local flow of plasma both in the extravascular space and lymph flow. This model bridges the gap between Krogh cylinders when only diffusion is considered, and stirred tanks where convection is dominant. The model also consider the leaky effect, and compare the health liver and tumor tissue"--Abstract, page iii.


Neogi, P. (Partho), 1951-

Committee Member(s)

Barua, Dipak
Park, Joontaek


Chemical and Biochemical Engineering

Degree Name

M.S. in Chemical Engineering


Missouri University of Science and Technology

Publication Date

Summer 2018


xii, 54 pages

Note about bibliography

Includes bibliographic references (pages 52-53).


© 2018 Xianjie Qiu, All rights reserved.

Document Type

Thesis - Open Access

File Type




Thesis Number

T 11721

Electronic OCLC #