PCR Simulator: DNA Amplification & Thermal Cycling Calculator

simulator intermediate ~10 min
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2.15 × 10¹¹ copies — 30 cycles at 95% efficiency from 100 templates

Starting from 100 template copies with 95% efficiency over 30 cycles, PCR produces approximately 215 billion copies — a 2.15-billion-fold amplification of the original DNA.

Formula

N = N₀ × (1 + E)ⁿ (exponential amplification)
Ct = log(Nt/N₀) / log(1 + E)
Tm ≈ 64.9 + 41(G+C-16.4)/(A+T+G+C) (primer melting temperature)

The DNA Copying Machine

Invented by Kary Mullis in 1983 and earning him the 1993 Nobel Prize, the polymerase chain reaction is perhaps the most transformative technique in molecular biology. PCR can amplify a single DNA molecule to billions of copies in just a few hours, enabling forensic identification from trace evidence, diagnosis of infectious diseases, and the entire field of genomics. The technique exploits the natural ability of DNA polymerase to synthesize complementary strands, driven through repeated thermal cycles.

Three Steps, Exponential Growth

Each PCR cycle consists of three temperature-controlled steps. Denaturation at 94-98°C melts the double helix into single strands. Annealing at 50-65°C allows short synthetic primers to bind flanking the target region. Extension at 72°C activates Taq polymerase, which synthesizes new complementary strands at ~1000 bases per minute. Because each cycle doubles the target, amplification is exponential: after n cycles with efficiency E, the copy number is N₀(1+E)ⁿ. This simulation animates the thermal cycling and plots the exponential amplification curve in real time.

Efficiency & Optimization

Perfect doubling (100% efficiency) is the theoretical maximum, but real reactions typically achieve 80-95% efficiency. Primer design is the most critical factor — primers must be 18-25 nucleotides long, have balanced GC content (40-60%), avoid self-complementarity, and have similar melting temperatures. Magnesium concentration, template purity, and polymerase choice also affect efficiency. The simulation shows how even small efficiency differences compound dramatically over 30+ cycles.

From Research to Diagnostics

PCR transformed from a research tool into a diagnostic powerhouse with the development of quantitative PCR (qPCR) and reverse transcription PCR (RT-PCR). During the COVID-19 pandemic, RT-qPCR became the gold standard for SARS-CoV-2 detection, processing billions of tests worldwide. The Ct value — the cycle at which amplification becomes detectable — provides a semi-quantitative measure of viral load. Digital PCR further advances precision by partitioning reactions into thousands of nanodroplets for absolute quantification without standard curves.

FAQ

How does PCR amplify DNA?

PCR uses repeated thermal cycles of three steps: denaturation (94-98°C, separating double-stranded DNA), annealing (50-65°C, primers bind to target sequences), and extension (72°C, DNA polymerase synthesizes new strands). Each cycle approximately doubles the target DNA, producing exponential amplification — 30 cycles can amplify a single molecule to over a billion copies.

What is PCR efficiency and why does it matter?

PCR efficiency is the fraction of target molecules that are successfully copied each cycle. At 100% efficiency, copies exactly double each cycle. Real efficiencies range from 80-100%, affected by primer design, template quality, and reagent concentrations. In quantitative PCR (qPCR), accurate quantification requires efficiency between 90-110%.

What is the Ct value in qPCR?

The Ct (threshold cycle) value is the cycle number at which fluorescence signal crosses a detection threshold. Lower Ct means more starting template — each 3.3-cycle difference represents a 10-fold difference in initial copy number (assuming 100% efficiency). Ct values enable precise quantification of DNA, RNA, and pathogen loads.

Why is annealing temperature important?

Annealing temperature determines primer binding specificity. Too low and primers bind non-specifically, amplifying wrong targets. Too high and primers fail to bind, yielding no product. The optimal Ta is typically 5°C below the primer melting temperature (Tm). Gradient PCR can empirically determine the best annealing temperature.

Sources

Embed

<iframe src="https://homo-deus.com/lab/biotechnology/pcr-amplification/embed" width="100%" height="400" frameborder="0"></iframe>
View source on GitHub