Cell Proliferation Calculators
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Doubling Time Calculation
t_d = t × ln(2) / ln(N_t/N₀)
t = elapsed time; N₀ = initial cell count; N_t = cell count at time t. Example: cells grow from 5 × 10⁴ to 4 × 10⁵ in 48 hours: t_d = 48 × 0.693 / ln(8) = 48 × 0.693 / 2.079 = 16.0 hours.
Cell Proliferation Assays
- BrdU/EdU incorporation: Thymidine analogs incorporated into newly synthesized DNA during S-phase; detected by antibody (BrdU) or click chemistry (EdU); gives % of cells in S-phase
- Ki-67 staining: Nuclear protein expressed in all active cell cycle phases (G1, S, G2, M) but absent in G0 (quiescent); high Ki-67 = high proliferation; used in tumor pathology (Ki-67 index)
- MTT/resazurin: Metabolic activity assay that correlates with cell number; used for dose-response and proliferation over time
- Flow cytometry cell cycle: DNA content measured by propidium iodide staining; G1 (2N), S (2N–4N), G2/M (4N)
Cytostatic vs. Cytotoxic Effects
Cytostatic: drug stops cell division without killing cells — cell number plateaus. Cytotoxic: drug kills cells — cell number decreases. Distinguish by measuring both cell count and viability over time. GI₅₀ = concentration causing 50% growth inhibition (cytostatic); IC₅₀ = concentration causing 50% cell death (cytotoxic).
Glossary
Frequently Asked Questions
Doubling time t_d = elapsed time × ln(2) / ln(cell count final / cell count initial). Example: seed 10,000 cells; count 80,000 after 24 hours: t_d = 24 × 0.693 / ln(8) = 16.6 / 2.079 = 8.0 hours. Alternatively: t_d = 0.693 / μ, where μ is the specific growth rate calculated during exponential phase. Always measure during exponential growth — lag phase and stationary phase data will underestimate the true doubling time.
Ki-67 is a nuclear protein expressed in all active phases of the cell cycle (G1, S, G2, M) but absent in quiescent cells (G0). It is detected by immunohistochemistry or flow cytometry using antibodies. The Ki-67 index = % of Ki-67 positive cells in a tumor section — a standard proliferation marker in pathology. High Ki-67 (>20%) generally indicates a rapidly proliferating, aggressive tumor. Ki-67 is used to classify breast cancer subtypes, grade tumors, and predict response to chemotherapy. It is not specific to S-phase — BrdU/EdU are better for measuring DNA synthesis specifically.
Cytostatic drugs stop cell division but do not kill cells — cell number stops increasing but doesn't decrease. Cytotoxic drugs kill cells — cell number actively decreases. Distinguish these effects by measuring both cell count and viability (live/dead ratio) over time with and without drug. GI₅₀ is the drug concentration causing 50% growth inhibition compared to untreated (cytostatic measure); LC₅₀ or IC₅₀ are concentrations causing 50% cell death (cytotoxic). Many cancer drugs are primarily cytostatic at low concentrations and cytotoxic at high concentrations.
BrdU (5-bromo-2′-deoxyuridine) is a synthetic thymidine analog that is incorporated into newly synthesized DNA during S-phase. Cells in culture are pulsed with BrdU for 1–2 hours; those in S-phase incorporate BrdU into their DNA. After fixation, an anti-BrdU antibody (requiring DNA denaturation step) detects the incorporated BrdU by ELISA or flow cytometry. % BrdU-positive cells = % cells in S-phase during the pulse. EdU (5-ethynyl-2′-deoxyuridine) is a newer alternative that uses bioorthogonal click chemistry instead of antibody, avoiding the harsh DNA denaturation step and giving better signal.