BMES451_Lecture 7_Transport in Tissues & Devices(1)

BMES 451 Transport Phenomena in Living Systems

• Instructor: Chris Rodell, Assistant Professor

• School: Biomedical Engineering, Science & Health Systems, Drexel University

• Contact: cbr58@drexel.edu

Page 1: Overview of Course and Midterm Review

• Lecture Theme: Transport in Tissues & Devices

• Midterm 1 Review

  • Scheduled for today

  • Homework: HW3 to be posted by Wednesday, due in a week

  • Next Midterm: Future date, content focus discussed

  • Key Topics:

    • Midterm 1 Discussion

    • Refreshers & Generalizations

    • Transport in: Tissues, Tissue Engineering, Drug Delivery

Page 2: Midterm Statistics

• Midterm 1 Review Results:

  • Mean Score: 66 ± 13

  • Median Score: 67

  • Interpretation: No concern, as scores are favorable and improving.

• Average Score Graph: Scale from 0-100.

Page 3: Quiz Format and Free Points

• True/False Questions:

  • Based on key concepts such as equilibrium and diffusion principles

• Bonus Points: Students starts with +4 on the midterm, total available score is 96.

Page 4: Core True/False Concepts Reviewed

• Average scores for True/False questions: 80%

• Key Points on True/False Questions:

  • Concentration Gradient: No flux in equilibrium

  • Ideal Gases: Diffusion coefficient increases with pressure

  • Mass Conservation Principle: Governed by GDE

  • Fick’s Law Application: Applicable under specific conditions only

Page 5: Specific True/False Statements

1. In equilibrium, no concentration gradient → True

2. Diffusion coefficient increases with gas pressure → False

3. For dilute solutions, DAB = DBA → False

4. Conservation of mass via GDE under all conditions → True

5. Fick’s law of diffusion under limited conditions → True

6. Majority of biological reactions follow second order kinetics → False

7. Heterogeneous reactions contribute to RA → True

8. Diffusion is faster than convection over long distances → False

Page 6: Further Analysis of Statements

• Steady State Conditions: Does not equate to zero concentration change (can have flux)

• Detailed explanations of diffusion principles compared between gases, liquids, and solids

Page 7: Importance of Concentration Gradients

• Discusses the relevance of concentration gradients in transport processes across different states of matter

Page 8: Derivation and Application of Fick’s Law

• General Differential Equation (GDE): Key equation for mass transport including flux and reactions

• Understanding of how Fick's Law aids in predicting flux across interfaces

Page 9: Practical Applications in Transport Systems

• General use of the diffusion equation applied to biological systems and practical transport applications

Page 10: Mass Transfer and Diffusion Principles

• Highlights mass transfer mechanisms including diffusion, convection, and their mathematical formulations

Page 11: Advanced Concepts in Drug Delivery Mechanisms

• Discussion of hydrogel applications within drug delivery systems

• Overview of how drugs diffuse through tissues while accounting for degradation

Page 12: Evaluation of Drug Delivery Scenarios

• Examples of diffusion dynamics using steady state assumptions, boundary conditions, and concentration profiles

Page 13: Concentration Profiles and Drug Kinetics

• Detailed sketching of concentration profiles with respect to drug diffusion patterns

Page 14: Key Takeaways

• Understanding the relevance of concentration gradients, flux dynamics, and mass transfer rates becomes critical for successful application in biomedical contexts

Page 15: Conclusion and Recap of Course Material

• Concepts from prior lectures integrated into current discussions to illustrate continuity in education and application

• Emphasis on practical applications and underlying biological principles.