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Why does Blood Flow Change? Investigating the Math of Blood Flow Dynamics

Author(s): Amy Troyer1, Brandi Morgante Handzlik1, Mary Phillips1

Pennsylvania College of Health Sciences

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Summary:
This collection of activities explores the relationship between blood flow, pressure, and the factors of resistance through graphs and modeling direct and inverse variation.

Licensed under CC Attribution-ShareAlike 4.0 International according to these terms

Version 1.0 - published on 15 Jun 2020 doi:10.25334/KBHH-CC94 - cite this

Keywords

  1. quant bio
  2. graphing
  3. Ratios
  4. math
  5. assessment
  6. college algebra
  7. undergraduate education
  8. physiology
  9. Anatomy
  10. human biology
  11. variation
  12. Cardiovascular physiology
  13. Anatomy & Physiology
  14. lab activity
  15. OpenStax
  16. qbcc
  17. manipulate equations
  18. Understanding fractions
  19. Choosing models
  20. Understanding rates
  21. Estimating answers
  22. Use elementary functions
  23. Create graphs
  24. Interpret graphs
  25. Rates and Proportions
  26. Solving Equations and Inequalities

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Description

Why does Blood Flow Change?  Investigating the Math of Blood Flow Dynamics was developed as part of an effort by the Quantitative Biology at Community Colleges group to provide materials that incorporate mathematical concepts into biology courses.  Within the collection of materials, there is an activity designed for Anatomy & Physiology courses that coordinate with Chapter 20 of the OpenStax Anatomy and Physiology textbook.  The activity could also be used in a Human Biology course.  The collection also includes two math activities to be used in a College Algebra or lower-level algebra class.  The graphing activity coordinates with Chapter 4 of the OpenStax Elementary Algebra Text.  The variation activity coordinates with Chapter 8 of the OpenStax Elementary Algebra Text and Chapter 5 of the OpenStax College Algebra text.

The student learning outcomes for the entire collection of activities are: 

            Biology:  

1)  Interpret the equation that relates blood flow to pressure and resistance

2)  Explain the impact of changes in pressure, radius, length and viscosity on blood flow

Mathematics: 

1)  Recognize direct and inverse variation relationships in data sets. 

2)  Model the variation relationship observed in data with an equation. 

3)  Solve an equation to calculate the constant of variation for a data set 

4)  Use the equation to predict additional values 

5)  Create a graph of the data and the equation 

6)  Predict additional values based on the type of variation 

            Data Literacy:

  1. Estimate additional values based on the graph
  2. Interpret graphs

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