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Oxygen plays an important role in cell metabolism inside a human's body. The transfer of oxygen from blood to tissues takes place in capillaries by means of a diffusion process. A capillary-tissue region is usually modeled as Krogh Cylinder. Based on this model, we derive an equation describing...
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| Main Author: | |
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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/8391 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | Oxygen plays an important role in cell metabolism inside a human's body. The transfer of oxygen from blood to tissues takes place in capillaries by means of a diffusion process. A capillary-tissue region is usually modeled as Krogh Cylinder. Based on this model, we derive an equation describing the distribution of oxygen concentration in a tissue region. The equation is then solved analytically, by means of perturbation technique, and numerically by use of the finite difference technique. Some values of oxygen consumption rates are considered, which follow the Michaelis-Menten kinetics. Analytical and numerical results are both quite in agreement. |
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