Dna Weight Calculator

DNA Weight Calculator: Estimate DNA Mass and Properties :root { –primary-color: #004a99; –secondary-color: #007bff; –success-color: #28a745; –light-gray: #f8f9fa; –medium-gray: #e9ecef; –dark-gray: #343a40; –white: #ffffff; –border-radius: 8px; –box-shadow: 0 4px 8px rgba(0, 0, 0, 0.1); } body { font-family: 'Segoe UI', Tahoma, Geneva, Verdana, sans-serif; line-height: 1.6; color: var(–dark-gray); background-color: var(–light-gray); margin: 0; padding: 0; display: flex; flex-direction: column; align-items: center; padding-top: 20px; padding-bottom: 40px; } .container { width: 100%; max-width: 960px; background-color: var(–white); padding: 30px; border-radius: var(–border-radius); box-shadow: var(–box-shadow); margin-bottom: 30px; } header { text-align: center; margin-bottom: 30px; } h1 { color: var(–primary-color); margin-bottom: 10px; font-size: 2.5em; } h2, h3 { color: var(–primary-color); margin-top: 25px; margin-bottom: 15px; } .subtitle { font-size: 1.1em; color: #555; } .loan-calc-container { background-color: var(–white); 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DNA Weight Calculator

Estimate the molecular weight of DNA based on its length and base composition.

Enter the total number of base pairs in your DNA sequence.
Percentage of Adenine (A) and Thymine (T) bases in the DNA.
Percentage of Guanine (G) and Cytosine (C) bases in the DNA.

Your DNA Weight Calculation Results

Estimated A/T Bases:

Estimated G/C Bases:

Average Molecular Weight per Base Pair (Daltons):

Formula Used: Molecular Weight (Daltons) = DNA Length (bp) * ( (%A + %T)/2 * MW_A/T + (%G + %C)/2 * MW_G/C )
(Where MW_A/T ≈ 649.0 Da/bp, MW_G/C ≈ 717.0 Da/bp)

DNA Composition vs. Molecular Weight Distribution

Base Pair Type
Contribution to Weight
DNA Base Pair Molecular Weights
Base Pair Type Approx. Molecular Weight (Daltons) Contribution Factor
A-T Pair 649.0 1.0 (average of A and T)
G-C Pair 717.0 1.0 (average of G and C)

What is a DNA Weight Calculator?

A DNA Weight Calculator is a specialized computational tool designed to estimate the molecular weight of a DNA molecule. Unlike simple weight scales, this calculator operates on the principles of molecular biology and chemistry, leveraging the known molecular weights of individual nucleotides and the structure of DNA. It allows researchers, students, and enthusiasts to approximate the mass of a given DNA segment based on its length (measured in base pairs) and its specific nucleotide composition (the relative abundance of Adenine, Guanine, Cytosine, and Thymine).

Who should use it:

  • Molecular Biologists and Geneticists: For experimental design, data analysis, and understanding the physical properties of DNA constructs.
  • Biochemists: When studying DNA-protein interactions, DNA solubility, or the physical behavior of DNA in solution.
  • Students and Educators: As a learning tool to grasp fundamental concepts in molecular biology and genetics, making abstract concepts tangible.
  • Bioinformaticians: To estimate physical parameters for large genomic datasets.
  • Anyone curious about the physical scale of genetic material.

Common misconceptions:

  • It calculates the weight of an entire genome: While it *can* be used for genomes, it's more commonly used for specific DNA fragments or genes.
  • It's highly precise for any DNA sample: The calculator provides an *estimate* based on average molecular weights. Actual variations in nucleotide structure and hydration can lead to minor discrepancies.
  • It's only for research purposes: It's a valuable educational tool for visualizing the immense scale of DNA.

DNA Weight Calculator Formula and Mathematical Explanation

The core principle behind the DNA Weight Calculator is to sum the molecular weights of all the nucleotides present in a DNA molecule. Since DNA is double-stranded, we typically consider the weight of a base pair (bp).

The general formula used is:

Molecular Weight (Daltons) = DNA Length (bp) * [ (%A + %T)/2 * MWA/T + (%G + %C)/2 * MWG/C ]

Let's break down the components:

Variable Explanations:

  • DNA Length (bp): The total number of base pairs in the DNA molecule being considered.
  • %A, %T, %G, %C: The percentage composition of Adenine, Thymine, Guanine, and Cytosine bases, respectively. These percentages should sum to 100%.
  • MWA/T: The average molecular weight of an Adenine-Thymine base pair. This is an approximation, usually around 649.0 Daltons (Da).
  • MWG/C: The average molecular weight of a Guanine-Cytosine base pair. This is an approximation, usually around 717.0 Daltons (Da).

The formula first calculates the number of A/T pairs and G/C pairs based on the percentages and total length. Then, it multiplies these counts by their respective average molecular weights and sums them up to get the total molecular weight.

Variables Used in DNA Weight Calculation
Variable Meaning Unit Typical Range / Value
DNA Length Total number of base pairs Base Pairs (bp) ≥ 1 bp (practically thousands to billions)
%A, %T, %G, %C Percentage composition of each nucleotide base % 0% to 100% (sum must be 100%)
MWA/T Average molecular weight of an A-T base pair Daltons (Da) ≈ 649.0 Da
MWG/C Average molecular weight of a G-C base pair Daltons (Da) ≈ 717.0 Da
Molecular Weight (Result) Total estimated mass of the DNA molecule Daltons (Da) Varies significantly based on length and composition

Understanding this DNA Weight Calculator formula helps in appreciating the physical scale of genetic information.

Practical Examples (Real-World Use Cases)

Example 1: A Small Gene Fragment

Consider a small gene fragment of 1,500 base pairs with a relatively balanced base composition, typical for many human genes.

  • Inputs:
    • DNA Length: 1,500 bp
    • A/T Content: 45%
    • G/C Content: 55%
  • Calculation Steps:
    • Estimated A/T Bases = 1500 * (45/100) = 675 bp
    • Estimated G/C Bases = 1500 * (55/100) = 825 bp
    • Weight from A/T = 675 bp * 649.0 Da/bp ≈ 437,775 Da
    • Weight from G/C = 825 bp * 717.0 Da/bp ≈ 591,525 Da
    • Total Molecular Weight = 437,775 Da + 591,525 Da = 1,029,300 Da
  • Output: The DNA fragment weighs approximately 1,029,300 Daltons. This is about 1.03 MegaDaltons (MDa).
  • Interpretation: Even a small gene fragment has a significant molecular weight, highlighting the complexity and mass of genetic material. This value is crucial for calculations involving DNA concentration and molarity in experiments.

Example 2: A Bacterial Plasmid

A common bacterial plasmid might be around 5,000 base pairs long, often with a slightly higher G/C content than the average eukaryote.

  • Inputs:
    • DNA Length: 5,000 bp
    • A/T Content: 40%
    • G/C Content: 60%
  • Calculation Steps:
    • Estimated A/T Bases = 5000 * (40/100) = 2,000 bp
    • Estimated G/C Bases = 5000 * (60/100) = 3,000 bp
    • Weight from A/T = 2000 bp * 649.0 Da/bp = 1,298,000 Da
    • Weight from G/C = 3000 bp * 717.0 Da/bp = 2,151,000 Da
    • Total Molecular Weight = 1,298,000 Da + 2,151,000 Da = 3,449,000 Da
  • Output: The plasmid weighs approximately 3,449,000 Daltons, or 3.45 MDa.
  • Interpretation: This calculation is vital for molecular cloning workflows, where accurate molar calculations are needed for ligation reactions and transformation efficiencies. The DNA Weight Calculator provides a quick estimate for these purposes.

How to Use This DNA Weight Calculator

Using the DNA Weight Calculator is straightforward. Follow these simple steps to get your estimated DNA molecular weight:

  1. Enter DNA Length: Input the total number of base pairs (bp) for your DNA segment into the "DNA Length (Base Pairs)" field. This could be a gene, a plasmid, a PCR product, or even a whole chromosome.
  2. Specify Base Composition:
    • Enter the percentage of Adenine (A) and Thymine (T) bases combined in the "A/T Content (%)" field.
    • Enter the percentage of Guanine (G) and Cytosine (C) bases combined in the "G/C Content (%)" field.
    • Note: Ensure that the sum of your A/T and G/C percentages equals 100%. The calculator will adjust if minor discrepancies exist but ideally, they should be precise.
  3. Click Calculate: Press the "Calculate DNA Weight" button.

How to read results:

  • Primary Result: The largest, highlighted number is the estimated total molecular weight of your DNA in Daltons (Da). This is often a very large number, so prefixes like kiloDaltons (kDa) or MegaDaltons (MDa) might be used for convenience (1 kDa = 1,000 Da, 1 MDa = 1,000,000 Da).
  • Intermediate Values: You'll see the estimated number of A/T base pairs and G/C base pairs, along with the average molecular weight per base pair used in the calculation.
  • Formula Explanation: This section clarifies the mathematical basis for the calculation.
  • Chart: The dynamic chart visually represents the proportion of A/T vs. G/C content and their contribution to the overall molecular weight.
  • Table: Provides reference weights for A-T and G-C base pairs.

Decision-making guidance:

The molecular weight is a fundamental physical property. Knowing it helps in:

  • Molar Conversions: Converting mass (mg or µg) to moles (mol or nmol), which is essential for many molecular biology reactions (e.g., PCR, cloning, sequencing).
  • Concentration Calculations: Determining the concentration of DNA solutions accurately.
  • Experimental Planning: Estimating the physical size and handling properties of DNA molecules.

Use the "Copy Results" button to easily transfer the calculated values and assumptions for your reports or other applications. Use the "Reset" button to clear the fields and start a new calculation.

Key Factors That Affect DNA Weight Results

While the DNA Weight Calculator provides a robust estimate, several factors influence the actual molecular weight and the precision of the calculation:

  1. Base Composition Accuracy: The most significant factor. If the input percentages for A/T and G/C content are inaccurate, the resulting weight will be proportionally off. Real genomic sequences have specific compositional biases.
  2. Average Molecular Weights Used: The standard values for MWA/T (≈649.0 Da) and MWG/C (≈717.0 Da) are averages. The precise mass of individual nucleotides can vary slightly due to isotopic composition and chemical environment.
  3. DNA Length Precision: An accurate count of base pairs is crucial. Errors in sequencing or assembly can lead to incorrect lengths and thus, incorrect weight calculations.
  4. End Modifications: If the DNA molecule has chemical modifications at its ends (e.g., phosphorylation, addition of adapters for sequencing), these will add a small, fixed amount of mass not accounted for by the base pair calculation.
  5. Strandedness and Circularity: The calculator assumes a linear double-stranded DNA molecule. For single-stranded DNA, the calculation would differ significantly (roughly half the weight, adjusted for nucleotide composition). Circular DNA (like plasmids) has the same base pair composition but might have slightly different physical properties.
  6. Hydration and Counterions: In biological contexts, DNA is typically surrounded by water molecules and ions (like sodium or magnesium). These associated molecules add to the total mass in solution but are not part of the DNA molecule's intrinsic molecular weight. The calculator estimates the intrinsic molecular weight.
  7. Isotopic Variations: While minor, the natural abundance of isotopes (e.g., Carbon-13) can cause slight variations in the mass of DNA molecules. The calculator uses average atomic masses.

For most practical purposes in molecular biology and education, the estimates from this DNA Weight Calculator are highly reliable.

Frequently Asked Questions (FAQ)

Q1: What is a Dalton (Da)?

A Dalton is a unit of mass commonly used in chemistry and biology. It is approximately equal to the mass of one hydrogen atom. For biological macromolecules like DNA, it's often expressed in kilodaltons (kDa) or megadaltons (MDa).

Q2: Can this calculator determine the weight of single-stranded DNA (ssDNA)?

Not directly. The provided calculator is for double-stranded DNA (dsDNA). For ssDNA, you would need to adjust the calculation, considering the weight of individual bases rather than base pairs and using their respective molecular weights.

Q3: How accurate are the molecular weights of base pairs (A-T and G-C)?

The values (approx. 649.0 Da for A-T and 717.0 Da for G-C) are averages derived from the atomic masses of the constituent atoms in the nucleotides and the phosphodiester backbone. They are highly accurate for general calculations.

Q4: What is the molecular weight of the entire human genome?

The human genome has approximately 3 billion base pairs. Using an average molecular weight of about 680 Da/bp (a blend of AT and GC), the total molecular weight is roughly 2.04 x 1012 Daltons, or 2.04 TeraDaltons (TDa). This calculator can estimate this if you input the full length and composition.

Q5: Does the calculator account for DNA modifications?

No, the calculator estimates the weight based on standard DNA base pairs. Chemical modifications (like methylation) or attached molecules would add to the mass.

Q6: Why is G-C content usually higher?

Guanine and Cytosine form three hydrogen bonds, making the G-C pair more stable than the Adenine-Thymine pair (which has two hydrogen bonds). Therefore, DNA with higher G-C content is generally more thermally stable. This relates to the DNA Weight Calculator inputs.

Q7: How is DNA weight used in practical lab work?

It's essential for calculating molar concentrations. For example, if you know the weight and length of a DNA fragment, you can calculate its molarity (moles per liter), which is critical for biochemical reactions like PCR primer concentrations, ligation, and transformations.

Q8: Can I use this calculator for RNA?

No, this calculator is specifically for DNA. RNA has a different sugar-phosphate backbone (ribose instead of deoxyribose) and uses Uracil (U) instead of Thymine (T), leading to different molecular weights.

var dnaLengthInput = document.getElementById("dnaLength"); var atContentInput = document.getElementById("atContent"); var gcContentInput = document.getElementById("gcContent"); var dnaLengthError = document.getElementById("dnaLengthError"); var atContentError = document.getElementById("atContentError"); var gcContentError = document.getElementById("gcContentError"); var primaryResultDiv = document.getElementById("primaryResult"); var estimatedATBasesSpan = document.getElementById("estimatedATBases"); var estimatedGCBasesSpan = document.getElementById("estimatedGCBases"); var avgMwPerBpSpan = document.getElementById("avgMwPerBp"); var chartContainer = document.getElementById("chartContainer"); var chartSection = document.getElementById("chartSection"); var chart = null; var ctx = null; var MW_AT_BP = 649.0; // Molecular weight of an A-T base pair in Daltons var MW_GC_BP = 717.0; // Molecular weight of a G-C base pair in Daltons function validateInput(inputElement, errorElement, minValue, maxValue, isEmptyAllowed) { var value = parseFloat(inputElement.value); var isValid = true; if (!inputElement.value && isEmptyAllowed) { errorElement.style.display = 'none'; return true; } if (isNaN(value)) { errorElement.textContent = "Please enter a valid number."; errorElement.style.display = 'block'; isValid = false; } else if (!inputElement.value && !isEmptyAllowed) { errorElement.textContent = "This field is required."; errorElement.style.display = 'block'; isValid = false; } else if (value maxValue) { errorElement.textContent = "Value cannot exceed " + maxValue + "."; errorElement.style.display = 'block'; isValid = false; } else { errorElement.style.display = 'none'; } return isValid; } function validateAndAdjustComposition() { var atContent = parseFloat(atContentInput.value); var gcContent = parseFloat(gcContentInput.value); var totalPercent = atContent + gcContent; var isValid = true; if (isNaN(atContent)) { atContentError.textContent = "Please enter a valid number."; atContentError.style.display = 'block'; isValid = false; } else if (atContent 100) { atContentError.textContent = "Percentage must be between 0 and 100."; atContentError.style.display = 'block'; isValid = false; } else { atContentError.style.display = 'none'; } if (isNaN(gcContent)) { gcError.textContent = "Please enter a valid number."; gcError.style.display = 'block'; isValid = false; } else if (gcContent 100) { gcError.textContent = "Percentage must be between 0 and 100."; gcError.style.display = 'block'; isValid = false; } else { gcError.style.display = 'none'; } if (Math.abs(totalPercent – 100) > 0.1) { // Allow for small floating point inaccuracies var adjustmentFactor = 100 / totalPercent; var adjustedAt = atContent * adjustmentFactor; var adjustedGc = gcContent * adjustmentFactor; // Update input values to reflect adjustment, but don't mark as error unless original inputs were invalid atContentInput.value = adjustedAt.toFixed(1); gcContentInput.value = adjustedGc.toFixed(1); // Show a subtle warning if adjustment was significant if (Math.abs(totalPercent – 100) > 1) { atContentError.textContent = "Composition adjusted to sum to 100%."; atContentError.style.display = 'block'; gcError.textContent = "Composition adjusted to sum to 100%."; gcError.style.display = 'block'; } isValid = true; // Consider it valid after adjustment for calculation } else { atContentError.style.display = 'none'; gcError.style.display = 'none'; } return isValid; } function calculateDNAWeight() { var dnaLength = parseFloat(dnaLengthInput.value); var atContent = parseFloat(atContentInput.value); var gcContent = parseFloat(gcContentInput.value); var isLengthValid = validateInput(dnaLengthInput, dnaLengthError, 1, null, false); var areContentsValid = validateAndAdjustComposition(); // This function also handles individual AT/GC validation if (!isLengthValid || !areContentsValid) { primaryResultDiv.textContent = "–"; estimatedATBasesSpan.textContent = "–"; estimatedGCBasesSpan.textContent = "–"; avgMwPerBpSpan.textContent = "–"; chartSection.style.display = 'none'; return; } // Re-fetch potentially adjusted values atContent = parseFloat(atContentInput.value); gcContent = parseFloat(gcContentInput.value); var estimatedATBases = dnaLength * (atContent / 100); var estimatedGCBases = dnaLength * (gcContent / 100); var avgMwPerBp = (atContent/100) * MW_AT_BP + (gcContent/100) * MW_GC_BP; var totalMolecularWeight = dnaLength * avgMwPerBp; primaryResultDiv.textContent = totalMolecularWeight.toLocaleString(undefined, { minimumFractionDigits: 2, maximumFractionDigits: 2 }) + " Daltons"; estimatedATBasesSpan.textContent = estimatedATBases.toLocaleString(undefined, { minimumFractionDigits: 0, maximumFractionDigits: 0 }) + " bp"; estimatedGCBasesSpan.textContent = estimatedGCBases.toLocaleString(undefined, { minimumFractionDigits: 0, maximumFractionDigits: 0 }) + " bp"; avgMwPerBpSpan.textContent = avgMwPerBp.toLocaleString(undefined, { minimumFractionDigits: 2, maximumFractionDigits: 2 }) + " Da/bp"; updateChart(dnaLength, estimatedATBases, estimatedGCBases, avgMwPerBp, totalMolecularWeight); chartSection.style.display = 'block'; } function resetCalculator() { dnaLengthInput.value = 1000000; atContentInput.value = 50; gcContentInput.value = 50; dnaLengthError.style.display = 'none'; atContentError.style.display = 'none'; gcContentError.style.display = 'none'; primaryResultDiv.textContent = "–"; estimatedATBasesSpan.textContent = "–"; estimatedGCBasesSpan.textContent = "–"; avgMwPerBpSpan.textContent = "–"; chartSection.style.display = 'none'; if (chart) { chart.destroy(); // Destroy previous chart instance if it exists chart = null; } } function copyResults() { var resultText = "— DNA Weight Calculation Results —\n\n"; resultText += "DNA Length: " + dnaLengthInput.value + " bp\n"; resultText += "A/T Content: " + atContentInput.value + "%\n"; resultText += "G/C Content: " + gcContentInput.value + "%\n\n"; resultText += "Estimated A/T Bases: " + estimatedATBasesSpan.textContent + "\n"; resultText += "Estimated G/C Bases: " + estimatedGCBasesSpan.textContent + "\n"; resultText += "Average MW per Base Pair: " + avgMwPerBpSpan.textContent + "\n\n"; resultText += "Total Molecular Weight: " + primaryResultDiv.textContent + "\n\n"; resultText += "Formula Used: Molecular Weight (Da) = DNA Length (bp) * [ (%A + %T)/2 * MW_A/T + (%G + %C)/2 * MW_G/C ]\n"; resultText += "MW_A/T ≈ " + MW_AT_BP + " Da/bp, MW_G/C ≈ " + MW_GC_BP + " Da/bp\n"; var textArea = document.createElement("textarea"); textArea.value = resultText; textArea.style.position = "fixed"; textArea.style.left = "-9999px"; document.body.appendChild(textArea); textArea.focus(); textArea.select(); try { var successful = document.execCommand('copy'); var msg = successful ? 'Results copied!' : 'Copying failed!'; console.log(msg); // Optionally show a confirmation message to the user } catch (err) { console.log('Oops, unable to copy'); } document.body.removeChild(textArea); } function updateChart(dnaLength, estimatedATBases, estimatedGCBases, avgMwPerBp, totalMolecularWeight) { var canvas = document.getElementById('dnaChart'); if (!canvas) { console.error("Canvas element not found!"); return; } ctx = canvas.getContext('2d'); // Clear previous chart if it exists if (chart) { chart.destroy(); } // Calculate contribution of each base pair type to total weight var weightFromAT = estimatedATBases * MW_AT_BP; var weightFromGC = estimatedGCBases * MW_GC_BP; // Ensure weights are non-negative and sum up close to totalMolecularWeight if (weightFromAT < 0) weightFromAT = 0; if (weightFromGC 0 && Math.abs(currentSum – totalMolecularWeight) > 1e-6) { // Check if sum is non-zero and significantly different var scaleFactor = totalMolecularWeight / currentSum; weightFromAT *= scaleFactor; weightFromGC *= scaleFactor; } else if (totalMolecularWeight === 0) { // Handle zero total weight case weightFromAT = 0; weightFromGC = 0; } chart = new Chart(ctx, { type: 'bar', // Use bar chart for representing contributions data: { labels: ['A-T Base Pair Contribution', 'G-C Base Pair Contribution'], datasets: [ { label: 'Number of Base Pairs', data: [estimatedATBases, estimatedGCBases], backgroundColor: [ 'rgba(0, 74, 153, 0.5)', // Blue for AT 'rgba(40, 167, 69, 0.5)' // Green for GC ], borderColor: [ 'rgba(0, 74, 153, 1)', 'rgba(40, 167, 69, 1)' ], borderWidth: 1, yAxisID: 'y-bp' // Assign to a specific Y-axis }, { label: 'Contribution to Total Weight (Da)', data: [weightFromAT, weightFromGC], backgroundColor: [ 'rgba(0, 74, 153, 0.7)', // Darker Blue for AT weight 'rgba(40, 167, 69, 0.7)' // Darker Green for GC weight ], borderColor: [ 'rgba(0, 74, 153, 1)', 'rgba(40, 167, 69, 1)' ], borderWidth: 1, yAxisID: 'y-weight' // Assign to a specific Y-axis } ] }, options: { responsive: true, maintainAspectRatio: false, scales: { x: { title: { display: true, text: 'DNA Base Pair Type' } }, y-bp: { // Y-axis for Base Pairs type: 'linear', position: 'left', title: { display: true, text: 'Number of Base Pairs' }, ticks: { callback: function(value) { if (value % 1000000 === 0) return value / 1000000 + 'M'; if (value % 1000 === 0) return value / 1000 + 'K'; return value; } } }, y-weight: { // Y-axis for Weight type: 'linear', position: 'right', title: { display: true, text: 'Weight (Daltons)' }, ticks: { callback: function(value) { if (value >= 1000000) return value / 1000000 + ' M Da'; if (value >= 1000) return value / 1000 + ' K Da'; return value + ' Da'; } }, grid: { drawOnChartArea: false // only want the grid lines for one axis to show up } } }, plugins: { title: { display: true, text: 'DNA Composition and Weight Contribution', font: { size: 16 } }, tooltip: { callbacks: { label: function(context) { var label = context.dataset.label || "; if (label) { label += ': '; } if (context.parsed.y !== null) { if (context.dataset.label.includes('Weight')) { label += context.parsed.y.toLocaleString(undefined, { minimumFractionDigits: 2, maximumFractionDigits: 2 }); if (context.parsed.y >= 1000000) label += ' M Da'; else if (context.parsed.y >= 1000) label += ' K Da'; else label += ' Da'; } else { label += context.parsed.y.toLocaleString(undefined, { minimumFractionDigits: 0, maximumFractionDigits: 0 }); if (context.parsed.y >= 1000000) label += ' M bp'; else if (context.parsed.y >= 1000) label += ' K bp'; else label += ' bp'; } } return label; } } } } } }); } // Initial calculation on load document.addEventListener("DOMContentLoaded", function() { calculateDNAWeight(); // Add event listeners for real-time updates dnaLengthInput.addEventListener("input", calculateDNAWeight); atContentInput.addEventListener("input", calculateDNAWeight); gcContentInput.addEventListener("input", calculateDNAWeight); }); // Dummy Chart.js instance creation, assuming it will be loaded or available globally. // In a real-world scenario, you'd include Chart.js library. // For this standalone HTML, we'll simulate Chart object for structure. var Chart = window.Chart || function() {}; // Use existing Chart if available, otherwise provide a dummy Chart.prototype.destroy = function() { console.log("Chart destroyed (simulated)"); };

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