1. Fundamental Concepts
- Definition: The excretory system consists of organs that remove waste products and toxins from the body.
- Organs: Kidneys, ureters, urinary bladder, urethra, liver, skin, and lungs.
- Function: Maintains homeostasis by regulating water balance, electrolyte levels, and pH.
2. Key Concepts
Kidney Function: $${\text{{filtration}}}, {\text{{reabsorption}}}, {\text{{secretion}}}$$
Urine Formation: $${\text{{glomerular filtration rate (GFR)}}} = \frac{\text{{filtered load}}}{\text{{plasma flow rate}}}$$
Detoxification: $${\text{{liver detoxifies blood}}}$$
3. Examples
Example 1 (Basic)
Problem: Calculate the glomerular filtration rate (GFR) if the filtered load is 120 liters/day and the plasma flow rate is 650 liters/day.
Step-by-Step Solution:
- Use the formula: $${\text{{GFR}}} = \frac{120}{650}$$
- Simplify the fraction: $${\text{{GFR}}} = 0.1846$$
Validation: Substitute values → Original: $$\frac{120}{650} = 0.1846$$; Simplified: $$0.1846$$ ✓
Example 2 (Intermediate)
Problem: If a patient has a GFR of 0.2 and the plasma flow rate is 700 liters/day, what is the filtered load?
Step-by-Step Solution:
- Rearrange the formula: $${\text{{filtered load}}} = {\text{{GFR}}} \cdot {\text{{plasma flow rate}}}$$
- Substitute the values: $${\text{{filtered load}}} = 0.2 \cdot 700$$
- Calculate: $${\text{{filtered load}}} = 140$$ liters/day
Validation: Substitute values → Original: $$0.2 \cdot 700 = 140$$; Simplified: $$140$$ liters/day ✓
4. Problem-Solving Techniques
- Visual Strategy: Use diagrams to represent the flow of substances through the kidneys.
- Error-Proofing: Double-check units and conversions when calculating rates.
- Concept Reinforcement: Relate kidney function to overall body health and disease states.