ADVANCED MATHEMATICAL PHYSIOLOGY

BME537

Course Code: BME537
Semester: -
Theory+Practice: 3 + 0
ECTS: 10

Course Type

Elective Course

Course Level

Master's Degree With Thesis

Year of Study

Semester

ECTS

Name of Lecturer(s)

Learning Outcomes

At the end of this course, the students;

have knowledge about bioelectrical properties of cell membrane.
have knowledge about the action potential.
have knowledge about the electrophysiology of the heart.
have knowledge about the electrical field of the brain.
have knowledge about intra-body properties measurement.

Mode of Delivery

Face to face

Prerequisites

Recommended Optional Programme Components

Course Description

Course Contents

WEEK	TOPICS
1^st Week	Vectors, gradients, divergence. Electrical field and mathematical relations
2^nd Week	Bioelectrical Properties of Cell Membrane. Transmembrane potential, Ion channels, Ion pumps, Donnan equation, Goldman equation
3^rd Week	Action Potential
4^th Week	Active behavior of the membrane. Voltage clamping method. Hodkin-Huxley model;
5^th Week	Mathematical representation of action potential propagation
6^th Week	Bioelectrical Relationship of Extracellular Areas. Extracellular potentials. Maxwell's equality
7^th Week	Electrophysiology of the heart. Electrical transmission of the heart, Einthoven vector, the basis of electrocardiography (ECG)
8^th Week	Midterm
9^th Week	ECG. Clinical electrocardiography. ECG measurement methods. Advanced problem solutions in ECG
10^th Week	Electrical Field of the Brain. Potential changes in the brain. Electroencephalography (EEG). EEG measurement methods and their properties
11^th Week	Biomagnetic. Magnetostatic equations. Measurement of magnetic flux density. Magnetocardiography (MCG) and Magnetoencephalography (MEG)
12^th Week	Biomagnetic. Magnetostatic equations. Measurement of magnetic flux density. Magnetocardiography (MCG) and Magnetoencephalography (MEG)
13^th Week	Measurement of intra-body properties. Performing electrical impedance imaging with various current and voltage applications. Measurement of magnetic precision
14^th Week	Measurement of intra-body properties. Performing electrical impedance imaging with various current and voltage applications. Measurement of magnetic precision

Recommended or Required Reading

(1) R. Plonsey, R. C. Barr, Bioelectricity, 1988, Plenum Press, New York
(2) Mathematical Physiology/Human Physiology/VANDER
(3) R. Plonsey and David G. Fleming, Bioelectric Phenomena, McGraw-Hill Book Company, 1969.

Planned Learning Activities and Teaching Methods

Lecture
Presentation
Project

Assessment Methods and Criteria

	Quantity	Percentage (%)
Mid-term	1	30
Project	1	30
Total(%)		60
Contribution of In-term Studies to Overall Grade(%)		60
Contribution of Final Examination to Overall Grade(%)		40
Total(%)		100

ECTS Allocated Based on Student Workload

Activities	Quantity	Duration (Hour)	Total Workload (Hour)
Midterm exam	1	72	72
Preparation for Quiz	0	0	0
Individual or group work	2	3	6
Preparation for Final exam	1	24	24
Course hours	14	3	42
Preparation for Midterm exam	1	24	24
Laboratory (including preparation)	0	0	0
Final exam	1	96	96
Homework
Project	1	24	24
Total Work Load			288
Total Work Load / 30 (h)			9.6
ECTS Credit of the Course			10

Language of Instruction

Turkish

Work Placement(s)

Programme Qualifications / Learning Outcomes

	LO1	LO2	LO3	LO4	LO5
K1	X	X	X	X	X
K2	X	X	X	X	X
K3
K4
K5
K6
K7
K8