Transport Phenomena within Cells and Tissues
Graduate course, University of British Columbia, 2024
The big idea of the course “Transport Phenomena within Cells and Tissues” revolves around understanding transport phenomena as the fundamental principle of life. In biological systems, two primary mechanisms drive the transport of molecules: diffusion and convection. Diffusion occurs when molecules move randomly due to thermal energy generated by molecular collisions, facilitating the spread of nutrients and waste products. Convection involves the bulk flow of fluids, such as blood or cytoplasm, transporting substances more efficiently across larger distances. Both processes are essential for the transport of energy, nutrients, and signaling molecules within living organisms. By studying these phenomena, students will delve into the intricate communication mechanisms of living systems, where the principles of physics and engineering converge with biological processes.
Instructor Name: Dr. Tiam Heydari and Dr. Daniel Aguilar-Hidalgo
Dates: Sept 9-16th; Sep 26th-Oct 7th; Nov 4th-11th; Dec 2nd.
Location: IRC 1
Below you can find my lectures:
Lectures
| # | Topic | Slides | Instructor |
|---|---|---|---|
| 1 | Background and Motivation | Tiam Heydari | |
| 2 | Introduction to Vector Calculus | Tiam Heydari | |
| 3 | Coordinate Systems | Tiam Heydari | |
| 4 | Differential Equations | Tiam Heydari | |
| 5 | Mass Conservation | Tiam Heydari | |
| 6 | Pharmacokinetics | Tiam Heydari | |
| 7 | Total Time Derivative and Continuity Equation | Tiam Heydari | |
| 12 | Diffusion Review and Fick’s Laws | Tiam Heydari | |
| 13 | Steady-State Approximation for Diffusion I | Tiam Heydari | |
| 14 | Steady-State Approximation for Diffusion II | Tiam Heydari | |
| 15 | Beyond the Steady-State Approximation | Tiam Heydari | |
| 22 | Fluid Mechanics Review | Tiam Heydari | |
| 23 | Solving Navier–Stokes | Tiam Heydari | |
| 24 | Navier–Stokes: Steady-State and Fully Developed Flow | Tiam Heydari | |
| 25 | Navier–Stokes: Steady-State Solutions | Tiam Heydari | |
| 26 | Applications of Navier–Stokes in Microfluidics | Tiam Heydari |
