BIOMEDE 3703
Transcript Abbreviation:
Quant Physiol
Course Description:
Introduces students to the mathematical and numerical techniques used to develop, solve and analyze quantitative models of physiological systems.
Course Levels:
Undergraduate (1000-5000 level)
Designation:
Required
General Education Course:
(N/A)
Cross-Listings:
(N/A)
Credit Hours (Minimum if “Range”selected):
3.00
Max Credit Hours:
3.00
Select if Repeatable:
Off
Maximum Repeatable Credits:
(N/A)
Total Completions Allowed:
(N/A)
Allow Multiple Enrollments in Term:
No
Course Length:
14 weeks (autumn or spring)
Off Campus:
Never
Campus Location:
Columbus
Instruction Modes:
In Person (75-100% campus; 0-24% online)
Prerequisites and Co-requisites:
Prereq: 2700, Anatomy 2220, and Math 2174; or permission of instructor.
Electronically Enforced:
No
Exclusions:
(N/A)
Course Goals / Objectives:
Plot solutions to physiological models and conduct sensitivity analysis to determine the relative importance of different physiological parameters on system behavior
Conduct least squared regression analysis to extract model parameter values from experimental data
Construct, solve and analyze compartmental models of the circulatory system using systems of linear equations
Use ordinary differential equations to construct models of various physiological systems (endocrine, neuronal, etc) and will be able to write MatLab routines to solve and analyze these ODE models
Solve partial differential equations using the COMSOL package, model various physiological systems (cardiovascular, cellular), and conduct simulations and analyze models using the COMSOL software package
Evaluate the accuracy of various physiological models by comparing numerical solutions with analytical solutions and describe the pros and cons of different models
Check if concurrence sought:
No
Contact Hours:
| Topic | LEC | REC out-of-class | REC in-class | Weekly LAB out-of-class | Weekly LAB in-class |
|---|---|---|---|---|---|
| Introduction & Numerical Errors | 0 | 0 | 0 | 0 | 0 |
| Systems of Equations & Circulation | 0 | 0 | 0 | 0 | 0 |
| ODE models of stem cells, hormone transport, renal clearance and muscle | 0 | 0 | 0 | 0 | 0 |
| ODE models of neuronal and cardiac action potentials | 0 | 0 | 0 | 0 | 0 |
| ODE and PDE models of diffusion/drug delivery and tissue oxygenation | 0 | 0 | 0 | 0 | 0 |
| PDEs of cardiovascular systems (arterial pulse and by-pass surgery) | 0 | 0 | 0 | 0 | 0 |
| PDEs of calcium signaling and mechanotransduction | 0 | 0 | 0 | 0 | 0 |
| Advanced Models | 0 | 0 | 0 | 0 | 0 |
| Total | 0 | 0 | 0 | 0 | 0 |
Grading Plan:
Letter Grade
Course Components:
Recitation
Lecture
Grade Roster Component:
Lecture
Credit by Exam (EM):
No
Grades Breakdown:
| Aspect | Percent |
|---|---|
| Homework | 50% |
| Quizzes | 30% |
| Final Project | 20% |
Representative Textbooks and Other Course Materials:
| Title | Author | Year |
|---|---|---|
| Numerical Methods in Biomedical Engineering, Academic Press, 2006 | Dunn, S.M., Constantinides, A., Moghe, P.V. | |
| Mathematical Physiology II: Systems Physiology, Springer, 2009 | James Keener & James Sneyd |
ABET-CAC Criterion 3 Outcomes:
(N/A)
ABET-ETAC Criterion 3 Outcomes:
(N/A)
ABET-EAC Criterion 3 Outcomes:
(N/A)
Embedded Literacies Info: