9_15_11_ModelsForTissueEngineering

9_15_11_ModelsForTissueEngineering - Outline of the Lecture...

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Unformatted text preview: Outline of the Lecture Model for Tissue Engineering Artifactual Models Biophysics Molecular Interactions with Cells One Can Build Artifactual and Computational Models for Tissue Engineering One may build tissue equivalents (models) to study its essential components and properties. In a wound-healing model, a gap filled with scaffold and growth factors after removal of a disk of skin is eventually filled with tissue. The histology of the scaffold with migrated dermis reveals extensive in-growth of blood vessels. Nutrients : Transport of a nutrient in a tissue obeys diffusion with metabolism obeying a Michaelis-Menten type behavior. L =concentration; D =diffusion coefficient; =density of cells; k =maximal uptake rate constant; K M =saturation constant: L t D 2 L x 2 k L K M L What is the intuition for this equation? L t D 2 L x 2 k L K M L L(x-) L(x) L(x+) Michaelis Menten : an enzyme (or receptor or channel) binds a ligand, converts it into a product, and releases the product to start the cycle again. A chemical reaction starts with a key-and-lock collision between two molecules. The frequency of collisions increases with the concentra- tions of the molecular species that are interacting. In Michaelis- Menten kinetics, saturation comes from a finite number of enzymes (receptors). L t D 2 L x 2 k L K M L Growth Factors : Receptor/ligand trafficking model consider binding, endocytosis, lysosomal degradation, recycling, and receptor synthesis. Growth Factors : Without trafficking, the number of bound receptors ( C ), obeys the Michaelis- Menten kinetics, where R is the number of surface receptors, and K D =k r /k f is the dissociation equilibrium constant. C L R K D L Growth Factors : Considering trafficking and a ligand delivered to the tissue at rate V L , the steady state L is L K D k e R k e C V R ' k d e g k e R...
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This note was uploaded on 02/15/2012 for the course BME 410 taught by Professor Han during the Fall '08 term at USC.

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9_15_11_ModelsForTissueEngineering - Outline of the Lecture...

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