Basic Clinical Laboratory Techniques 6E
6th Edition
ISBN:9781133893943
Author:ESTRIDGE
Publisher:ESTRIDGE
Chapter2: Basic Hematology
Section2.12: Reticulocyte Count
Problem 5RQ
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![### Derivation of the 10^4 Factor in Cell Counting
**Question:**
How is 10^4 derived? Please show all calculation steps.
**Cell Counting Equation:**
\[
\text{# of cells per mL} = (\text{Average}) \times \text{DF} \times 10^4
\]
**Explanation:**
In cell counting using a hemocytometer, the factor \(10^4\) comes into play based on three critical components of the cell counting process:
1. **Volume of the Counting Chamber**:
- The hemocytometer has a counting chamber where the depth is 0.1 mm (or 0.0001 cm) and the area is usually 1 mm² (or 0.01 cm²).
- Therefore, the volume of this chamber is:
\[
\text{Volume} = \text{Area} \times \text{Depth} = (0.01 \text{ cm}^2) \times (0.01 \text{ cm}) = 0.0001 \text{ cm}^3
\]
- Since 1 cm³ = 1 mL, the volume becomes 0.0001 mL.
2. **Scaling Factor**:
- When counting cells, we usually count the number in a smaller grid of the net (e.g., 1 mm² of the hemocytometer corresponds to 0.1 mm depth, resulting in 0.0001 mL).
- To convert this number to the number of cells per mL, we need to multiply by \( \frac{1}{\text{Volume of a chamber}} \):
\[
\frac{1}{0.0001 \text{ mL}} = 10^4
\]
3. **Dilution Factor (DF)**:
- If a sample is diluted before counting, we need to take into account the dilution factor. The dilution factor \( \text{DF} \) corrects for any pre-counting dilution so that we get an accurate number of cells per mL in the original sample.
Putting it all together, the number of cells per mL is defined as:
\[
\text{# of cells per mL} = (\text{Average number of cells counted}) \times \text{DF} \times 10^](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcc8b7ab3-bb20-45e7-b154-6efda5818ccb%2F150564a3-a13b-4b64-a3df-8d3b2039b8a0%2F2jq9ayp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Derivation of the 10^4 Factor in Cell Counting
**Question:**
How is 10^4 derived? Please show all calculation steps.
**Cell Counting Equation:**
\[
\text{# of cells per mL} = (\text{Average}) \times \text{DF} \times 10^4
\]
**Explanation:**
In cell counting using a hemocytometer, the factor \(10^4\) comes into play based on three critical components of the cell counting process:
1. **Volume of the Counting Chamber**:
- The hemocytometer has a counting chamber where the depth is 0.1 mm (or 0.0001 cm) and the area is usually 1 mm² (or 0.01 cm²).
- Therefore, the volume of this chamber is:
\[
\text{Volume} = \text{Area} \times \text{Depth} = (0.01 \text{ cm}^2) \times (0.01 \text{ cm}) = 0.0001 \text{ cm}^3
\]
- Since 1 cm³ = 1 mL, the volume becomes 0.0001 mL.
2. **Scaling Factor**:
- When counting cells, we usually count the number in a smaller grid of the net (e.g., 1 mm² of the hemocytometer corresponds to 0.1 mm depth, resulting in 0.0001 mL).
- To convert this number to the number of cells per mL, we need to multiply by \( \frac{1}{\text{Volume of a chamber}} \):
\[
\frac{1}{0.0001 \text{ mL}} = 10^4
\]
3. **Dilution Factor (DF)**:
- If a sample is diluted before counting, we need to take into account the dilution factor. The dilution factor \( \text{DF} \) corrects for any pre-counting dilution so that we get an accurate number of cells per mL in the original sample.
Putting it all together, the number of cells per mL is defined as:
\[
\text{# of cells per mL} = (\text{Average number of cells counted}) \times \text{DF} \times 10^
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