Biotransport Phenomena
Interactive simulations for understanding fundamental transport processes in biological systems
Math Review
Essential mathematical tools for biotransport phenomena, including partial derivatives, vector calculus, coordinate systems, and differential equations.
- Partial derivatives and chain rule
- Vector calculus (gradient, divergence)
- Coordinate systems for blood vessels
- Interactive gradient demonstrations
Lagrangian vs Eulerian
Compare Lagrangian and Eulerian perspectives in fluid dynamics through interactive red blood cell tracking and flow measurement.
- Side-by-side perspective comparison
- Particle tracking visualization
- Fixed-point flow measurement
- Real-time position and velocity data
Blood Rheology
Explore the non-Newtonian behavior of blood flow, including viscosity changes with shear rate, hematocrit effects, and temperature dependence.
- Non-Newtonian viscosity modeling
- Hematocrit and temperature effects
- Shear-thinning behavior visualization
- Red blood cell aggregation
Poiseuille Flow
Investigate laminar flow in blood vessels with pressure gradients, velocity profiles, and Reynolds number effects.
- Parabolic velocity profiles
- Pressure gradient effects
- Reynolds number analysis
- Vessel geometry impacts
Reynolds Transport Theorem
Visualize the fundamental bridge between control volume and material volume perspectives in fluid mechanics and biotransport.
- Eulerian vs Lagrangian views
- Control volume analysis
- Material tracking simulation
- Clinical scenario modeling
Mass Transport: Diffusion
Study molecular diffusion in biological systems, including concentration gradients, temperature effects, and molecule size impacts.
- Concentration gradient visualization
- Temperature and size effects
- Diffusion coefficient calculations
- Real-time concentration profiles