A mathematical model of mass transport in the lung

1973 ◽  
Vol 11 (6) ◽  
pp. 625-635 ◽  
Author(s):  
Bruce P. Gibbs ◽  
Edward J. Smith ◽  
Samuel R. Powers
Keyword(s):  
Mathematical Model ◽  
Mass Transport

Computer Simulation of the Response of Amperometric Biosensors in Stirred and non Stirred Solution

2003 ◽  
Vol 8 (1) ◽  
pp. 3-18 ◽  
Author(s):  
R. Baronas ◽  
F. Ivanauskas ◽  
J. Kulys
Keyword(s):  
Mathematical Model ◽  
Computer Simulation ◽  
Finite Difference ◽  
Mass Transport ◽  
Enzyme Reaction ◽  
Analyte Concentration ◽  
Amperometric Biosensors ◽  
Finite Difference Technique ◽  
Enzyme Layer ◽  
Biosensor Response

A mathematical model of amperometric biosensors has been developed to simulate the biosensor response in stirred as well as non stirred solution. The model involves three regions: the enzyme layer where enzyme reaction as well as mass transport by diffusion takes place, a diffusion limiting region where only the diffusion takes place, and a convective region, where the analyte concentration is maintained constant. Using computer simulation the influence of the thickness of the enzyme layer as well the diffusion one on the biosensor response was investigated. The computer simulation was carried out using the finite difference technique.

A mathematical model and a numerical model for hyperbolic mass transport in compressible flows

2008 ◽  
Vol 45 (2) ◽  
pp. 219-226 ◽  
Author(s):  
Héctor Gómez ◽  
Ignasi Colominas ◽  
Fermín Navarrina ◽  
Manuel Casteleiro
Keyword(s):  
Mathematical Model ◽  
Numerical Model ◽  
Mass Transport ◽  
Compressible Flows

Mathematical model for the mass transport in multiple porous scales

2018 ◽  
Vol 233 ◽  
pp. 28-39 ◽  
Author(s):  
Jader Alean ◽  
Juan C. Maya ◽  
Farid Chejne
Keyword(s):  
Mathematical Model ◽  
Mass Transport

A RC Model for Facilitated Transport in Asymmetric Membranes with Fixed Site Carriers

2013 ◽  
Vol 275-277 ◽  
pp. 2381-2389
Author(s):  
Shu Hui Jiang ◽  
Ya Nan Sun ◽  
Xin Yuan Zhang ◽  
Zhou Sun ◽  
Ling Feng Dai ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Electron Transport ◽  
Bovine Serum Albumin ◽  
Mass Transport ◽  
Serum Albumin ◽  
Bovine Serum ◽  
Facilitated Transport ◽  
Diffusion Cell ◽  
Asymmetric Membrane ◽  
Asymmetric Membranes

A mathematical model for facilitated transport in asymmetric membranes with fixed site carriers was derived by assuming concentration fluctuation and an analogy between electron transport in resistor-capacitor circuit and mass transport in an asymmetric membrane of facilitated transport. In order to examine the validity of the model, bovine serum albumin fixed membranes were fabricated and experiment of facilitated transport of bilirubin was carried out in diffusion cell. The agreement between the theoretical and experimental results is exceptional.

A model for the distribution and clearance of inert substances in subcutaneous tissue

1984 ◽  
Vol 246 (5) ◽  
pp. R716-R720
Author(s):  
M. N. Ozisik ◽  
R. Hillman ◽  
F. Widmer
Keyword(s):  
Mathematical Model ◽  
Drug Delivery ◽  
Mass Transport ◽  
Drug Delivery Systems ◽  
Analytic Solution ◽  
Subcutaneous Tissue ◽  
Systemic Circulation ◽  
Continuous Administration ◽  
Subcutaneous Space ◽  
Independent Parameters

The subcutaneous space has received attention in recent years as a route for the continuous administration of drugs and implantation of drug delivery systems. Yet little work has been devoted to an examination of the mass transport (distribution) of drugs in the subcutaneous space and the factors that influence their rate of clearance. A mathematical model is developed to describe the spreading and resorption of substances infused into the subcutaneous space. It simulates radial diffusion and flow in the direction of spreading as well as lateral convection into the systemic circulation. An analytic solution is obtained for the distribution of the substance as a function of time and position in the subcutaneous space. Two independent parameters, v (Peclet no.) and H (generalized Biot no.), are found to control the transport. Examples are presented to illustrate the effects of these parameters on the distribution of substances in the subcutaneous space.

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