Calculate multi-step serial dilution protocols with concentrations, volumes, and visual pipelines. Supports CFU, cells, µg/mL, and molar units.
Serial dilution is a stepwise dilution technique where each tube is diluted by the same factor from the previous one, producing a geometric series of concentrations. This method is indispensable in microbiology for colony counting, in immunology for antibody titer determination, in pharmacology for dose-response curves, and in analytical chemistry for calibration standards spanning several orders of magnitude.
The power of serial dilution lies in its ability to cover an enormous concentration range with consistent precision at each step. A six-step 1:10 serial dilution reduces the initial concentration by a factor of one million (10⁶), yet each individual step involves the same simple 1:10 pipetting operation. This is far more accurate than trying to achieve a 1:1,000,000 dilution in a single step, which would require pipetting nanoliter quantities.
This calculator generates a complete serial dilution protocol: it computes the diluent volume for each tube, tracks the cumulative dilution factor and concentration at each step, and displays a visual pipeline diagram and logarithmic concentration chart. Whether you're setting up a standard curve, counting bacteria, or titrating an antibody, this calculator provides the exact protocol to follow.
Setting up a serial dilution protocol requires calculating diluent volumes, tracking cumulative dilution factors, and ensuring you cover the needed concentration range. This calculator does it all and generates a lab-ready protocol. This serial dilution calculator helps you compare outcomes quickly and reduce avoidable mistakes when making day-to-day care decisions. Use the estimate as a planning baseline and confirm final decisions with a qualified professional when risk is high.
Cumulative DF = (DF per step)^n. Final Concentration = C₀ / Cumulative DF. Diluent Volume = Transfer Volume × (DF − 1). Total Volume per Tube = Transfer Volume × DF.
Result: Final: 1 CFU/mL, Total DF = 1:1,000,000
Each tube: 100 µL transfer + 900 µL diluent = 1000 µL at 1:10. After 6 steps: 10⁶ fold dilution. Concentration drops from 10⁶ to 10⁵, 10⁴, 10³, 10², 10, and finally 1 CFU/mL.
The serial dilution plate count method is the gold standard for enumerating viable bacteria. A sample is serially diluted (typically 1:10 steps), aliquots are plated on agar, and after incubation, colonies are counted. The original concentration = colonies × dilution factor × (1 / volume plated). For example, 150 colonies on a 10⁻⁵ plate with 0.1 mL plated = 150 × 10⁵ × 10 = 1.5 × 10⁸ CFU/mL.
Minimum inhibitory concentration (MIC) testing uses twofold serial dilutions of an antibiotic to find the lowest concentration that prevents bacterial growth. Starting from a high concentration (e.g., 128 µg/mL), the series goes 64, 32, 16, 8, 4, 2, 1, 0.5, 0.25 µg/mL. The MIC is the lowest concentration with no visible growth.
Serial dilutions produce logarithmically spaced standards, which is ideal for calibration curves of assays with logarithmic response (e.g., ELISA, qPCR). Plotting signal vs. log(concentration) often yields a sigmoidal curve that can be fit to a 4-parameter logistic model for quantitation across the dynamic range.
Serial dilution is more accurate because each step involves pipetting measurable volumes. A single 1:1,000,000 dilution would require pipetting 0.001 µL, which is impractical and highly inaccurate.
Common factors are 1:2 (twofold, for antibody titers), 1:5, and 1:10 (tenfold, for microbiology). Choose based on the range you need to cover and the precision required.
Count plates with 30–300 colonies (or 25–250 per some standards). This range gives statistically reliable results. Multiply the count by the dilution factor for that tube.
Yes. Thorough mixing is essential at each step. Use a vortex mixer for 5–10 seconds or pipette up and down 5–10 times before transferring to the next tube.
No. Use a fresh pipette tip for each transfer to avoid carry-over contamination, which would inflate the count in later tubes.
Twofold dilutions (1:2, 1:4, 1:8...) are standard for antibody titer determination, MIC/MBC testing in microbiology, and hemagglutination assays.