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

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Below you can find my lectures:

Lectures

#TopicSlidesInstructor
1Background and MotivationPDFTiam Heydari
2Introduction to Vector CalculusPDFTiam Heydari
3Coordinate SystemsPDFTiam Heydari
4Differential EquationsPDFTiam Heydari
5Mass ConservationPDFTiam Heydari
6PharmacokineticsPDFTiam Heydari
7Total Time Derivative and Continuity EquationPDFTiam Heydari
12Diffusion Review and Fick’s LawsPDFTiam Heydari
13Steady-State Approximation for Diffusion IPDFTiam Heydari
14Steady-State Approximation for Diffusion IIPDFTiam Heydari
15Beyond the Steady-State ApproximationPDFTiam Heydari
22Fluid Mechanics ReviewPDFTiam Heydari
23Solving Navier–StokesPDFTiam Heydari
24Navier–Stokes: Steady-State and Fully Developed FlowPDFTiam Heydari
25Navier–Stokes: Steady-State SolutionsPDFTiam Heydari
26Applications of Navier–Stokes in MicrofluidicsPDFTiam Heydari