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Real World Logarithms: Heart Activity
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Transcript
Real World Logarithms: Heart Activity
By Bella Briseno
Visual Diagram
Electrocardiogram Data
Electrocardiogram as logarithmic
Electrocardiogram Chart
- 94 BPM is considered normal
- 120 BPM is classified as tachycardia
- 26 more BPM
- 94 = 425 - 676 * e^(-0.0037 * RR)
- 120 = 425 - 676 * e^(-0.0037 * RR)
Electrocardiogram Equation
Why is an electrocardiogram test done?
- ln(0.4896) = -0.7141
- ln(0.4512) = -0.7959
- RR = 192.99
- RR = 215.10
QTc = 425 - 676 * e^(-.0037 * RR)
- QTc = Q-T corrected (based on patient's heart rate in beats per minute)
- RR = R-R interval
to check for signs of heart disease
What does the output of an electrocardiogram look like?
produces visual wavy lines called "traces"
How to use Equation
Example #1:
QTc = 425 - 676 * e^(-0.0037 * 192.99)
QTc = 425 - 676 * 0.4897
QTc = 425 - 331.00
QTc = 94 BPM
Example #2:
59 = 425 - 676 * e^(-0.0037 * RR)
-366 = -676 * e^(-0.0037 * RR)
ln(0.5414) = lne^(-0.0037 * RR)
-0.6136 = -0.0037 * RR
RR = 165.83
How do logarithms relate to electrocardiograms?
Electrocardiograms
- roughness of the ventricular fibrillation waveform
- used to find the RR in the QTc formula
What is an electrocardiogram test?
What are the heart rate ranges for each of the following classifications?
- A test that records the electrical activity of your heart
- Shows the electrical impulses that move through your heart (its rate and regularity)
Who developed the electrocardiogram and how?
- Normal: 60 - 100 bpm
- Tachycardia: > 100 bpm
- Bradycardia: < 60 bpm
- Willem Einthoven
- used fine quartz materials coated with silver
- lined up as strings
- string stretched and kept under strong magnetic field
- electric current passes through, movement is observed which can then be photographed
Thank You!
ECG
62
bpm
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