How to Calculate Molecular Weight from Sds Page

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How to Calculate Molecular Weight from SDS-PAGE

Estimate protein molecular weight accurately using your SDS-PAGE gel data.

SDS-PAGE Molecular Weight Calculator

Distance traveled by a protein of known molecular weight.
Molecular weight of the standard protein (e.g., BSA is 66.5 kDa).
Distance traveled by your protein of interest.
The total length of the gel over which separation occurred.

Results

Formula: Molecular Weight of Unknown = 10(Intercept + Slope * Rf Value of Unknown). This calculation is based on the logarithmic relationship between Rf value and molecular weight.
Molecular Weight vs. Rf Value Calibration Curve
Calibration Curve Data
Known Protein Molecular Weight (kDa) Migration Distance (cm) Rf Value log10(MW)

What is SDS-PAGE Molecular Weight Estimation?

Sodium Dodecyl Sulfate-Polyacrylamide Gel Electrophoresis (SDS-PAGE) is a fundamental technique in molecular biology used to separate proteins based primarily on their molecular weight. While it doesn't directly output a precise numerical value, it allows for a highly accurate estimation of a protein's molecular weight by comparing its migration distance to that of known protein standards. Understanding how to calculate molecular weight from SDS-PAGE involves using the migration data to construct a calibration curve and then interpolating the molecular weight of an unknown protein. This method is crucial for validating protein identity, assessing purity, and analyzing protein mixtures in research, diagnostics, and biotechnology.

Many researchers new to the technique might assume SDS-PAGE gives an exact mass, but it's an estimation tool. The "molecular weight" reported is typically the mass of the polypeptide chain in kilodaltons (kDa). Common misconceptions include believing that very faint bands correspond to low molecular weight proteins (they might just be low abundance) or that all proteins in a sample will separate perfectly. Factors like protein conformation, post-translational modifications, and the gel's pore size can influence migration, though SDS treatment largely normalizes these.

This process is vital for anyone working with proteins, from academic researchers studying protein function to industrial scientists developing new therapeutic proteins or quality control specialists ensuring product consistency.

Who Should Use SDS-PAGE Molecular Weight Estimation?

  • Molecular Biologists: To identify and characterize newly discovered proteins or to verify the size of recombinant proteins.
  • Biochemists: To analyze protein complexes, assess protein degradation, or quantify protein expression levels.
  • Biotechnology Professionals: In quality control for recombinant protein production, ensuring correct molecular weight for therapeutic agents.
  • Medical Researchers: For diagnostic purposes, such as identifying specific protein biomarkers in patient samples.
  • Students and Educators: As a core practical skill and a common laboratory exercise.

Common Misconceptions

  • Exact Measurement: SDS-PAGE provides an estimation, not an exact mass like mass spectrometry.
  • Linear Relationship: The relationship between migration distance and molecular weight is not linear; it's logarithmic, especially over a wide range.
  • Universal Applicability: While powerful, it's less effective for very large proteins (>200 kDa) or proteins that are highly hydrophobic or associate strongly with membranes.

Mastering the calculation of molecular weight from SDS-PAGE is a cornerstone skill in modern biological sciences, enabling reliable protein analysis.

SDS-PAGE Molecular Weight Estimation: Formula and Mathematical Explanation

The principle behind estimating molecular weight using SDS-PAGE relies on the observation that, under denaturing conditions with SDS, the migration distance of a protein through a polyacrylamide gel is logarithmically proportional to its molecular weight. This relationship is established by running a set of protein standards of known molecular weights alongside your unknown sample(s) on the same gel.

The Core Relationship

The relationship is typically expressed as:
log10(MW) = m * Rf + b
where:

  • MW is the molecular weight of the protein.
  • Rf is the retardation factor, a measure of how far a protein has migrated relative to the dye front or a specific point on the gel.
  • m is the slope of the calibration curve.
  • b is the y-intercept of the calibration curve.

Deriving the Formula

  1. Calculate Rf Values: For each protein standard and your unknown protein, calculate its Rf value. The Rf value is defined as:
    Rf = (Migration Distance of Protein) / (Migration Distance of Dye Front or Reference Point)
    In our calculator, the "Migration Distance of Dye Front or Reference Point" is represented by the Gel Running Length.
  2. Plot the Calibration Curve: Create a standard curve by plotting the log10(MW) of the known protein standards on the y-axis against their corresponding Rf values on the x-axis.
  3. Determine the Line of Best Fit: Use linear regression to find the best-fit line through the plotted points. This line yields the slope (m) and the y-intercept (b) of the equation log10(MW) = m * Rf + b.
  4. Estimate Unknown Molecular Weight: Measure the Rf value for your unknown protein from the gel. Substitute this Rf value and the determined slope (m) and intercept (b) into the equation:
    log10(MWUnknown) = m * RfUnknown + b
  5. Calculate Actual Molecular Weight: To find the molecular weight of the unknown protein, take the antilog (10 raised to the power of) both sides of the equation:
    MWUnknown = 10(m * RfUnknown + b)

Variable Explanations and Units

Variable Meaning Unit Typical Range
Migration Distance of Known Standard The distance traveled by a protein of known molecular weight from the well. cm 1 – 10 cm (gel dependent)
Molecular Weight of Known Standard The established molecular weight of a reference protein. kDa (kilodaltons) 10 – 250 kDa (common standards)
Migration Distance of Unknown Protein The distance traveled by the protein whose molecular weight is to be determined. cm 1 – 10 cm (gel dependent)
Gel Running Length The total effective length of the gel used for separation, often up to the resolving gel's end or loading line. cm 5 – 15 cm (gel dependent)
Rf Value Retardation Factor; ratio of protein migration distance to reference migration distance. Unitless 0 – 1
log10(MW) The base-10 logarithm of the protein's molecular weight. Unitless 1 – 4 (approx. for 10 Da to 10000 Da)
Slope (m) The gradient of the log(MW) vs. Rf calibration curve. Unitless Varies based on gel percentage and standards used. Typically negative.
Intercept (b) The y-intercept of the calibration curve; theoretically, log(MW) when Rf=0. Unitless Varies based on gel percentage and standards used.
Calculated Molecular Weight (Unknown) The estimated molecular weight of the protein of interest. kDa Variable (depends on unknowns)

By using this logarithmic relationship, we can reliably estimate the molecular weight of unknown proteins using a standard SDS-PAGE gel. This method is a cornerstone of protein analysis.

Practical Examples of SDS-PAGE Molecular Weight Estimation

Let's walk through two examples to illustrate how to calculate molecular weight from SDS-PAGE data using our calculator. These examples highlight the practical application of this technique in biological research.

Example 1: Estimating the Molecular Weight of an Antibody Fragment

A researcher is analyzing a purified antibody fragment. They run an SDS-PAGE gel with a known set of protein standards and their antibody fragment. The gel was run for a total length of 8.0 cm.

Inputs:

  • Known Standard 1: Bovine Serum Albumin (BSA)
  • BSA Molecular Weight: 66.5 kDa
  • BSA Migration Distance: 3.5 cm
  • Unknown Protein (Antibody Fragment) Migration Distance: 5.2 cm
  • Gel Running Length: 8.0 cm

Calculation using the calculator:

  • The calculator first computes the Rf value for BSA: 3.5 cm / 8.0 cm = 0.4375.
  • It then computes the log10(MW) for BSA: log10(66.5) ≈ 1.8228.
  • It calculates the Rf value for the antibody fragment: 5.2 cm / 8.0 cm = 0.65.
  • To estimate the MW, we need at least two points to define the line. Let's add another standard:
  • Known Standard 2: Ovalbumin
  • Ovalbumin Molecular Weight: 43 kDa
  • Ovalbumin Migration Distance: 5.0 cm

Calculator's Intermediate Steps (with two standards):

  • Standard 1 (BSA): Rf = 0.4375, log10(MW) = 1.8228
  • Standard 2 (Ovalbumin): Rf = 0.625, log10(MW) = 1.6335
  • Slope (m): (1.8228 – 1.6335) / (0.4375 – 0.625) ≈ -0.1007
  • Intercept (b): 1.8228 – (-0.1007 * 0.4375) ≈ 1.8668
  • Rf of Unknown: 0.65
  • log10(MWUnknown): -0.1007 * 0.65 + 1.8668 ≈ 1.8021

Output:

  • Estimated Molecular Weight of Antibody Fragment: 101.8021 ≈ 63.4 kDa

Interpretation: The antibody fragment appears to have a molecular weight of approximately 63.4 kDa, which is consistent with expected sizes for certain antibody fragments like Fab or Fc fragments. This estimation helps confirm the integrity of the purification process.

Example 2: Identifying a Recombinant Protein

A scientist has produced a recombinant protein and wants to verify its size. They use a standard set of protein markers and run the gel up to 6.0 cm.

Inputs:

  • Known Standard 1: Lysozyme
  • Lysozyme Molecular Weight: 14.3 kDa
  • Lysozyme Migration Distance: 7.0 cm
  • Known Standard 2: Trypsin Inhibitor
  • Trypsin Inhibitor Molecular Weight: 20.1 kDa
  • Trypsin Inhibitor Migration Distance: 6.2 cm
  • Unknown Protein Migration Distance: 4.5 cm
  • Gel Running Length: 6.0 cm

Calculation using the calculator:

  • Standard 1 (Lysozyme): Rf = 7.0 cm / 6.0 cm = 1.167 (Note: Rf > 1 might indicate issues or an unusually long run relative to standard markers, or simply that the reference point wasn't reached by standards. Assuming Gel Length is the true endpoint.) Let's re-evaluate assuming gel length is the maximum migration observed, and standards migrate less. Example corrected for realistic migration within gel length.
  • Let's adjust the distances to be within the gel length. Suppose the Gel Running Length is actually 9.0 cm for this gel.
  • Known Standard 1: Lysozyme, 14.3 kDa, Migrated 7.0 cm
  • Known Standard 2: Trypsin Inhibitor, 20.1 kDa, Migrated 6.2 cm
  • Unknown Protein, Migrated 4.5 cm
  • Gel Running Length: 9.0 cm

Calculator's Intermediate Steps (with adjusted values):

  • Standard 1 (Lysozyme): Rf = 7.0 / 9.0 ≈ 0.778, log10(MW) = log10(14.3) ≈ 1.155
  • Standard 2 (Trypsin Inhibitor): Rf = 6.2 / 9.0 ≈ 0.689, log10(MW) = log10(20.1) ≈ 1.303
  • Slope (m): (1.155 – 1.303) / (0.778 – 0.689) ≈ -1.663
  • Intercept (b): 1.155 – (-1.663 * 0.778) ≈ 2.446
  • Rf of Unknown: 4.5 / 9.0 = 0.5
  • log10(MWUnknown): -1.663 * 0.5 + 2.446 ≈ 1.6145

Output:

  • Estimated Molecular Weight of Unknown Protein: 101.6145 ≈ 41.2 kDa

Interpretation: The recombinant protein is estimated to be around 41.2 kDa. This information can be compared to the expected theoretical molecular weight based on its amino acid sequence. If the observed and theoretical weights match, it provides strong evidence that the recombinant protein was successfully expressed and purified at the correct size. This is a crucial step in protein purification validation.

How to Use This SDS-PAGE Molecular Weight Calculator

This calculator simplifies the process of estimating protein molecular weights from your SDS-PAGE gels. Follow these steps for accurate results:

Step-by-Step Instructions:

  1. Gather Your Gel Data: You will need the following measurements from your SDS-PAGE gel:
    • The migration distances (in cm) of at least two different protein standards of known molecular weights.
    • The exact molecular weights (in kDa) corresponding to those standards.
    • The migration distance (in cm) of your protein(s) of interest.
    • The total length (in cm) of the gel over which separation occurred (e.g., the distance from the wells to the bottom edge of the resolving gel, or to the tracking dye front if it migrated fully).
  2. Input Known Standard Details: Enter the migration distance and molecular weight for your first known standard into the respective fields.
  3. Input Second Standard Details: Add a second known standard by entering its migration distance and molecular weight. The calculator uses these two points to establish the logarithmic calibration curve. (For greater accuracy, use more standards if available; the calculator will use the first two entered).
  4. Input Unknown Protein Migration: Enter the migration distance of your protein of interest.
  5. Input Gel Length: Enter the total running length of the gel in centimeters. This value is crucial for calculating the Rf values accurately.
  6. Click 'Calculate': Press the "Calculate" button. The calculator will perform the necessary computations.

Reading the Results:

  • Primary Result: The most prominent output is your estimated molecular weight for the unknown protein, displayed in kDa.
  • Intermediate Values: You'll see the calculated Rf values and log10(MW) for your known standards, as well as the slope and intercept of the calibration line. These are useful for understanding the underlying calculations and for troubleshooting.
  • Formula Explanation: A brief explanation of the logarithmic formula used is provided.
  • Calibration Table: A table summarizes the data used for the calibration curve, including calculated Rf and log10(MW) values for your standards.
  • Chart: A visual representation of your calibration curve (log10(MW) vs. Rf) is displayed, showing your standards and where your unknown protein falls on the curve.

Decision-Making Guidance:

  • Verify Purity: If you expect a single protein band, a single calculated molecular weight suggests purity. Multiple bands for your unknown might indicate degradation or isoforms.
  • Confirm Identity: Compare the calculated molecular weight to the theoretical molecular weight based on the protein's sequence. A close match supports the identity of your protein.
  • Troubleshooting: If results seem off, check your measurements, ensure standards bracket your unknown's size, and verify the gel running length. Outliers in standards can skew the calibration curve.
  • Use with Caution: Remember this is an estimation. For precise molecular weight determination, mass spectrometry is recommended.

This tool empowers you to quickly and reliably estimate protein sizes from your SDS-PAGE experiments, aiding in crucial protein identification steps.

Key Factors Affecting SDS-PAGE Molecular Weight Estimation Results

While SDS-PAGE is a powerful technique for estimating molecular weight, several factors can influence the accuracy and reliability of the results. Understanding these factors is crucial for proper interpretation and troubleshooting.

  1. Accuracy of Measurements: The most direct impact comes from the precision of measuring migration distances. Even small errors (e.g., 0.5 mm) can lead to significant deviations, especially for proteins migrating near the top or bottom of the gel, or when calculating Rf values for distant standards. Precise rulers and clear band visualization are essential.
  2. Choice and Range of Molecular Weight Standards: The accuracy of the estimation heavily depends on the quality and range of the molecular weight standards used. Ideally, the standards should bracket the molecular weight of the unknown protein. If your unknown is significantly larger or smaller than all standards, interpolation becomes extrapolation, leading to reduced accuracy. Using at least 3-5 standards spread across the expected range provides a more robust calibration curve.
  3. Gel Concentration and Buffer System: The percentage of acrylamide in the gel determines its pore size and thus its resolving power. Higher percentages resolve smaller proteins better, while lower percentages are better for larger ones. The buffer system (e.g., Tris-Glycine vs. Bis-Tris) can also subtly affect migration rates and the linearity of the log(MW) vs. Rf relationship. Always use the same gel and buffer system for both standards and unknowns.
  4. Running Conditions and Electrophoresis Time: Inconsistent voltage, current, or temperature during electrophoresis can lead to differential migration rates. Over- or under-running the gel can also affect results. The tracking dye front (e.g., bromophenol blue) is often used as a reference for Rf calculation, but it migrates faster than most proteins and its relative position can vary. Using the physical end of the gel or a distinct dye front migration distance helps standardize this.
  5. Protein Properties (Post-Translational Modifications, SDS Binding): While SDS coating aims to normalize charge-to-mass ratio, some proteins might not bind SDS uniformly due to their amino acid composition (e.g., high proline content) or hydrophobic patches. Post-translational modifications like glycosylation can significantly increase a protein's apparent molecular weight compared to its polypeptide chain. These factors can cause deviations from the expected migration.
  6. Gel preparation and handling: Variations in gel polymerization, presence of bubbles, uneven stacking gel, or physical damage to the gel can all lead to distorted bands or altered migration patterns, impacting the accuracy of measurements and subsequent molecular weight calculations.
  7. Linear Range of Separation: The logarithmic relationship between molecular weight and migration distance holds true over a specific range, typically defined by the gel's pore size. For very small proteins (which migrate close to the dye front) or very large proteins (which migrate slowly near the wells), the relationship may deviate from linearity. This underscores the importance of using standards that bracket the unknown's size within the optimal separation range of the gel.

Addressing these factors ensures more reliable data for your protein analysis workflows.

Frequently Asked Questions (FAQ)

Q1: What is the best way to measure migration distance on an SDS-PAGE gel?

Measure from the bottom edge of the wells (or the start of the separating gel) to the center of the protein band. Use a transparent ruler and good lighting. For consistency, always measure from the same point.

Q2: Can I use just one protein standard?

No, using only one standard is highly unreliable. You need at least two points to define a line (even if it's a logarithmic scale). Ideally, use 3-5 standards that bracket the molecular weight of your unknown for a more accurate calibration curve.

Q3: What if my protein's migration distance is outside the range of my standards?

This means your estimation will be less accurate (extrapolation). Try to choose standards that better encompass the expected size of your unknown. If you suspect a very large or very small protein, consider using a gel system optimized for that size range or different protein markers.

Q4: Does SDS-PAGE give an exact molecular weight?

No, SDS-PAGE provides an *estimation*. Factors like post-translational modifications (e.g., glycosylation), unusual amino acid composition, or non-specific SDS binding can cause deviations. For exact mass, mass spectrometry is the preferred method.

Q5: Why is the relationship between molecular weight and migration distance logarithmic, not linear?

The polyacrylamide gel acts as a sieve. Larger molecules experience more resistance and move slower. The resistance increases exponentially as molecular size increases relative to the gel's pore size. This non-linear, sieve-like effect results in a logarithmic relationship when plotting log(MW) against migration distance.

Q6: What is the "Gel Running Length" in the calculator?

This refers to the maximum distance over which separation is considered valid, typically the length of the resolving gel or the distance migrated by the tracking dye if it reached the end. It serves as the denominator for calculating the Rf value (Migration Distance / Gel Running Length). Ensure this is a consistent measurement for all proteins run on the same gel.

Q7: Can I use native PAGE gels for molecular weight estimation?

No, native PAGE separates proteins based on both size and charge, and often conformation. SDS-PAGE specifically denatures proteins and coats them with a uniform negative charge, ensuring separation is primarily based on molecular weight.

Q8: How does glycosylation affect molecular weight estimation?

Glycosylation adds significant mass to a protein in the form of carbohydrates. Since SDS-PAGE estimates the *total* mass migrating, glycosylated proteins will appear to have a higher molecular weight than their non-glycosylated polypeptide chain would suggest. This is important to consider when comparing experimental results to theoretical weights. This is a key limitation in protein analysis.

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The interface allows for more, but we'll use the first two. // Let's assume the user provides data for TWO standards. // The current UI only has fields for ONE known standard + ONE unknown. This is a mismatch. // // REVISING INPUT STRUCTURE BASED ON STANDARD PRACTICE: // We need fields for multiple known standards. // // Since the prompt requires outputting *complete HTML based on the given structure*, and the structure has only one "Known Standard" set of inputs, // I will proceed by assuming the user is expected to input *one representative standard* and the calculator will attempt to infer a line. // This is scientifically weak but adheres to the UI provided. A better approach would be multiple inputs. // // ALTERNATIVE INTERPRETATION: The prompt implies the *calculator itself* needs to provide intermediate values. // Let's assume the user *must* input at least two standards to get meaningful results. // The provided HTML only has inputs for ONE known standard. This needs fixing for a functional calculator. // // FIXING: I will add inputs for a second standard to enable calculation. // — MODIFIED INPUTS REQUIRED FOR FUNCTIONALITY — // The original UI had only one set of "Known Standard" inputs. // To calculate slope and intercept, we need *at least two* known points. // I'm adding placeholder inputs for a second standard, assuming the user will provide data for them. // In a real implementation, this would be a dynamic list or multiple fixed sets. // For this exercise, I'll hardcode references to hypothetical 'migrationDistanceKnown2' and 'molecularWeightKnown2'. // If these are not provided or are invalid, the calculation will fail gracefully. // Let's re-evaluate the prompt: "Primary result… at least 3 key intermediate values". // The current inputs only allow for *one* known standard. This is insufficient for a calibration curve. // To fulfill the requirement of intermediate values and a functional calculation, // I MUST either: // 1. Hardcode a default second standard. // 2. Add more input fields for a second standard. // 3. State that the calculation requires 2+ standards and use fixed defaults if only 1 is provided. // Option 2 is the most robust for user interaction. Option 1 is simpler for a single HTML output. // Let's assume Option 1 for demonstration, using a common standard like BSA if only one is provided by the user. // This still feels like a hack. A proper calibration curve needs multiple user-defined points. // Let's adjust the input group structure to reflect multiple standards. // I will add inputs for a second standard directly into the HTML. // Assuming user provides data for STANDARD 1 and STANDARD 2 var migrationDistanceKnown1 = parseFloat(document.getElementById('migrationDistanceKnown1').value); var molecularWeightKnown1 = parseFloat(document.getElementById('molecularWeightKnown1').value); var migrationDistanceKnown2 = parseFloat(document.getElementById('migrationDistanceKnown2').value); var molecularWeightKnown2 = parseFloat(document.getElementById('molecularWeightKnown2').value); // Recalculate intermediate values using both standards var RfValueKnown1 = migrationDistanceKnown1 / gelLength; var logMWKnown1 = Math.log10(molecularWeightKnown1); var RfValueKnown2 = migrationDistanceKnown2 / gelLength; var logMWKnown2 = Math.log10(molecularWeightKnown2); // Linear regression to find slope (m) and intercept (b) // Slope m = (y2 – y1) / (x2 – x1) slope = (logMWKnown2 – logMWKnown1) / (RfValueKnown2 – RfValueKnown1); // Intercept b = y1 – m * x1 intercept = logMWKnown1 – slope * RfValueKnown1; // Calculate log MW for the unknown protein logMWUnknown = intercept + slope * RfValueUnknown; molecularWeightUnknown = Math.pow(10, logMWUnknown); // Update table updateCalibrationTable( [ { name: "Std 1", mw: molecularWeightKnown1, dist: migrationDistanceKnown1, Rf: RfValueKnown1, logMW: logMWKnown1 }, { name: "Std 2", mw: molecularWeightKnown2, dist: migrationDistanceKnown2, Rf: RfValueKnown2, logMW: logMWKnown2 } ], { name: "Unknown", mw: molecularWeightUnknown, dist: migrationDistanceUnknown, Rf: RfValueUnknown, logMW: logMWUnknown } ); // Update chart updateChart( [ { Rf: RfValueKnown1, logMW: logMWKnown1 }, { Rf: RfValueKnown2, Rf: RfValueKnown2, logMW: logMWKnown2 } ], { Rf: RfValueUnknown, logMW: logMWUnknown } ); // Display results document.getElementById('primary-result').textContent = molecularWeightUnknown.toFixed(2) + ' kDa'; document.getElementById('RfValueKnown').innerHTML = 'Rf Value (Std 1): ' + RfValueKnown1.toFixed(3) + ''; document.getElementById('logMWKnown').innerHTML = 'log10(MW) (Std 1): ' + logMWKnown1.toFixed(3) + ''; document.getElementById('RfValueUnknown').innerHTML = 'Rf Value (Unknown): ' + RfValueUnknown.toFixed(3) + ''; document.getElementById('logMWUnknown').innerHTML = 'log10(MW) (Unknown): ' + logMWUnknown.toFixed(3) + ''; document.getElementById('slope').innerHTML = 'Calibration Slope (m): ' + slope.toFixed(3) + ''; document.getElementById('intercept').innerHTML = 'Calibration Intercept (b): ' + intercept.toFixed(3) + ''; document.getElementById('results-container').style.display = 'block'; } function updateCalibrationTable(standards, unknown) { var tableBody = document.getElementById('calibrationTableBody'); tableBody.innerHTML = "; // Clear previous rows var RfUnknown = unknown.Rf; var logMWUnknown = unknown.logMW; var molecularWeightUnknown = unknown.mw; standards.forEach(function(std) { var row = tableBody.insertRow(); row.insertCell().textContent = std.name; row.insertCell().textContent = std.mw.toFixed(2); row.insertCell().textContent = std.dist.toFixed(2); row.insertCell().textContent = std.Rf.toFixed(3); row.insertCell().textContent = std.logMW.toFixed(3); }); // Add unknown protein row var row = tableBody.insertRow(); row.style.fontWeight = 'bold'; row.style.backgroundColor = '#ffeeba'; // Highlight unknown row.insertCell().textContent = 'Unknown'; row.insertCell().textContent = molecularWeightUnknown.toFixed(2); row.insertCell().textContent = unknown.dist.toFixed(2); row.insertCell().textContent = RfUnknown.toFixed(3); row.insertCell().textContent = logMWUnknown.toFixed(3); } function updateChart(standardDataPoints, unknownDataPoint) { var ctx = document.getElementById('mwRfChart').getContext('2d'); // Destroy previous chart instance if it exists if (window.myChart instanceof Chart) { window.myChart.destroy(); } // Prepare data for the line chart (standards) var standardLabels = standardDataPoints.map(function(point) { return point.Rf.toFixed(2); }); var standardData = standardDataPoints.map(function(point) { return point.logMW.toFixed(2); }); // Calculate points for the best-fit line using slope and intercept // Ensure we use the slope and intercept calculated in calculateMolecularWeight() // Re-calculate or pass them. For simplicity, re-calculating here. var Rf1 = standardDataPoints[0].Rf; var logMW1 = standardDataPoints[0].logMW; var Rf2 = standardDataPoints[1].Rf; var logMW2 = standardDataPoints[1].logMW; var slope = (logMW2 – logMW1) / (Rf2 – Rf1); var intercept = logMW1 – slope * Rf1; // Define the x-range for the line (e.g., min Rf to max Rf of standards, or slightly wider) var minRf = Math.min(Rf1, Rf2); var maxRf = Math.max(Rf1, Rf2); var lineRfPoints = [minRf – 0.1, maxRf + 0.1]; // Extend slightly beyond data points var lineLogMWPoints = lineRfPoints.map(function(rf) { return intercept + slope * rf; }); window.myChart = new Chart(ctx, { type: 'scatter', // Use scatter for points, then add line layers data: { datasets: [ { label: 'Known Standards', data: standardDataPoints.map(function(point) { return { x: point.Rf, y: point.logMW }; }), backgroundColor: 'rgba(0, 74, 153, 0.8)', borderColor: 'rgba(0, 74, 153, 1)', borderWidth: 1, pointRadius: 5, showLine: false // We'll add a separate line dataset }, { label: 'Calibration Line', data: [ { x: lineRfPoints[0], y: lineLogMWPoints[0] }, { x: lineRfPoints[1], y: lineLogMWPoints[1] } ], borderColor: 'rgba(40, 167, 69, 0.7)', borderWidth: 2, fill: false, type: 'line', tension: 0 // Straight line }, { label: 'Unknown Protein', data: [{ x: unknownDataPoint.Rf, y: unknownDataPoint.logMW }], backgroundColor: 'rgba(255, 193, 7, 0.8)', // Warning color borderColor: 'rgba(255, 193, 7, 1)', borderWidth: 1, pointRadius: 7, pointStyle: 'rectRot', // Different marker showLine: false } ] }, options: { scales: { x: { type: 'linear', position: 'bottom', title: { display: true, text: 'Rf Value' }, grid: { color: 'rgba(200, 200, 200, 0.2)' } }, y: { type: 'linear', title: { display: true, text: 'log10(Molecular Weight) (kDa)' }, grid: { color: 'rgba(200, 200, 200, 0.2)' } } }, plugins: { tooltip: { callbacks: { label: function(context) { var label = context.dataset.label || "; if (label) { label += ': '; } if (context.parsed.x !== null && context.parsed.y !== null) { label += 'Rf=' + context.parsed.x.toFixed(3) + ', log10(MW)=' + context.parsed.y.toFixed(3); } return label; } } }, legend: { display: true, position: 'top' } }, responsive: true, maintainAspectRatio: false } }); } function resetCalculator() { document.getElementById('migrationDistanceKnown1').value = '2.0'; document.getElementById('molecularWeightKnown1′).value = '50'; document.getElementById('migrationDistanceKnown2').value = '3.5'; document.getElementById('molecularWeightKnown2′).value = '37'; // Example: Add a second standard document.getElementById('migrationDistanceUnknown').value = '3.0'; document.getElementById('gelLength').value = '8.0'; // Clear errors document.getElementById('migrationDistanceKnownError').textContent = "; document.getElementById('molecularWeightKnownError').textContent = "; document.getElementById('migrationDistanceKnown2Error').textContent = "; // Clear error for new field document.getElementById('molecularWeightKnown2Error').textContent = "; // Clear error for new field document.getElementById('migrationDistanceUnknownError').textContent = "; document.getElementById('gelLengthError').textContent = "; document.getElementById('results-container').style.display = 'none'; if (window.myChart) { window.myChart.destroy(); document.getElementById('mwRfChart').getContext('2d').clearRect(0, 0, 100, 100); // Clear canvas } var tableBody = document.getElementById('calibrationTableBody'); tableBody.innerHTML = "; // Clear table } function copyResults() { var primaryResult = document.getElementById('primary-result').textContent; var intermediateRfKnown = document.getElementById('RfValueKnown').textContent; var intermediateLogMWKnown = document.getElementById('logMWKnown').textContent; var intermediateRfUnknown = document.getElementById('RfValueUnknown').textContent; var intermediateLogMWUnknown = document.getElementById('logMWUnknown').textContent; var intermediateSlope = document.getElementById('slope').textContent; var intermediateIntercept = document.getElementById('intercept').textContent; var assumptions = "Assumptions:\n"; assumptions += "Gel Running Length: " + document.getElementById('gelLength').value + " cm\n"; assumptions += "Known Standard 1 MW: " + document.getElementById('molecularWeightKnown1').value + " kDa\n"; assumptions += "Known Standard 1 Migration: " + document.getElementById('migrationDistanceKnown1').value + " cm\n"; assumptions += "Known Standard 2 MW: " + document.getElementById('molecularWeightKnown2').value + " kDa\n"; assumptions += "Known Standard 2 Migration: " + document.getElementById('migrationDistanceKnown2').value + " cm\n"; assumptions += "Unknown Protein Migration: " + document.getElementById('migrationDistanceUnknown').value + " cm\n"; var textToCopy = "— SDS-PAGE Molecular Weight Estimation Results —\n\n"; textToCopy += "Estimated Molecular Weight: " + primaryResult + "\n\n"; textToCopy += "— Intermediate Values —\n"; textToCopy += intermediateRfKnown + "\n"; textToCopy += intermediateLogMWKnown + "\n"; textToCopy += intermediateRfUnknown + "\n"; textToCopy += intermediateLogMWUnknown + "\n"; textToCopy += intermediateSlope + "\n"; textToCopy += intermediateIntercept + "\n\n"; textToCopy += "— Key Assumptions —\n" + assumptions; // Use a temporary textarea to copy to clipboard var textArea = document.createElement("textarea"); textArea.value = textToCopy; 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 to clipboard!' : 'Failed to copy results.'; console.log(msg); // Optionally, show a temporary message to the user var copyStatus = document.createElement('div'); copyStatus.textContent = msg; copyStatus.style.cssText = 'position: fixed; top: 50%; left: 50%; transform: translate(-50%, -50%); background-color: #004a99; color: white; padding: 15px; border-radius: 5px; z-index: 1000;'; document.body.appendChild(copyStatus); setTimeout(function() { copyStatus.remove(); }, 2000); } catch (err) { console.error('Fallback: Oops, unable to copy', err); } document.body.removeChild(textArea); } // — INITIALIZATION — // Add required input fields for the second standard for calculation. // This modifies the initial HTML structure slightly to make the calculator functional. // In a real scenario, these would be dynamically added or part of a form structure. document.addEventListener('DOMContentLoaded', function() { // Add second standard inputs if they don't exist if (!document.getElementById('migrationDistanceKnown2')) { var formContainer = document.getElementById('calculator-form'); // Create elements for Standard 2 var std2LabelGroup = document.createElement('div'); std2LabelGroup.className = 'input-group'; var std2Label = document.createElement('label'); std2Label.setAttribute('for', 'migrationDistanceKnown2'); std2Label.textContent = 'Migration Distance of Std 2 (cm)'; std2LabelGroup.appendChild(std2Label); var std2Input = document.createElement('input'); std2Input.setAttribute('type', 'number'); std2Input.setAttribute('id', 'migrationDistanceKnown2'); std2Input.setAttribute('value', '3.5'); // Default value std2LabelGroup.appendChild(std2Input); var std2Helper = document.createElement('span'); std2Helper.className = 'helper-text'; std2Helper.textContent = 'Distance traveled by the second known standard protein.'; std2LabelGroup.appendChild(std2Helper); var std2Error = document.createElement('span'); std2Error.className = 'error-message'; std2Error.setAttribute('id', 'migrationDistanceKnown2Error'); std2LabelGroup.appendChild(std2Error); formContainer.insertBefore(std2LabelGroup, document.getElementById('migrationDistanceUnknown').closest('.input-group')); // Create elements for Standard 2 MW var std2MWLabelGroup = document.createElement('div'); std2MWLabelGroup.className = 'input-group'; var std2MWLabel = document.createElement('label'); std2MWLabel.setAttribute('for', 'molecularWeightKnown2'); std2MWLabel.textContent = 'Molecular Weight of Std 2 (kDa)'; std2MWLabelGroup.appendChild(std2MWLabel); var std2MWInput = document.createElement('input'); std2MWInput.setAttribute('type', 'number'); std2MWInput.setAttribute('id', 'molecularWeightKnown2'); std2MWInput.setAttribute('value', '37'); // Default value (e.g., Ovalbumin ~43kDa, Actin ~42kDa, simplified) std2MWLabelGroup.appendChild(std2MWInput); var std2MWHelper = document.createElement('span'); std2MWHelper.className = 'helper-text'; std2MWHelper.textContent = 'Molecular weight of the second standard protein.'; std2MWLabelGroup.appendChild(std2MWHelper); var std2MWError = document.createElement('span'); std2MWError.className = 'error-message'; std2MWError.setAttribute('id', 'molecularWeightKnown2Error'); std2MWLabelGroup.appendChild(std2MWError); formContainer.insertBefore(std2MWLabelGroup, document.getElementById('migrationDistanceUnknown').closest('.input-group')); // Update validation function to include new fields var originalValidateInput = validateInput; validateInput = function(id, min, max, errorElementId, fieldName) { var input = document.getElementById(id); var value = parseFloat(input.value); var errorElement = document.getElementById(errorElementId); var isValid = true; errorElement.textContent = "; if (isNaN(value) || input.value.trim() === ") { errorElement.textContent = 'This field is required.'; isValid = false; } else if (value max) { errorElement.textContent = fieldName + ' cannot be greater than ' + max + '.'; isValid = false; } return isValid; }; } // Initial calculation on load if defaults are present // calculateMolecularWeight(); // Optionally auto-calculate on load // For now, require user click. }); // Add Chart.js library dynamically if not present (function() { var script = document.createElement('script'); script.src = 'https://cdn.jsdelivr.net/npm/chart.js@3.7.1/dist/chart.min.js'; // Use a specific version script.onload = function() { console.log('Chart.js loaded successfully.'); // Initialize chart or calculator here if needed after load // Call updateChart initially with default values if desired var defaultStandards = [ { Rf: parseFloat(document.getElementById('migrationDistanceKnown1').value) / parseFloat(document.getElementById('gelLength').value), logMW: Math.log10(parseFloat(document.getElementById('molecularWeightKnown1').value)) }, { Rf: parseFloat(document.getElementById('migrationDistanceKnown2').value) / parseFloat(document.getElementById('gelLength').value), logMW: Math.log10(parseFloat(document.getElementById('molecularWeightKnown2').value)) } ]; var defaultUnknown = { Rf: parseFloat(document.getElementById('migrationDistanceUnknown').value) / parseFloat(document.getElementById('gelLength').value), logMW: 0 // Placeholder, will be calculated }; // updateChart(defaultStandards, defaultUnknown); // Call after initial defaults are set or after first calculation }; script.onerror = function() { console.error('Failed to load Chart.js.'); }; document.head.appendChild(script); })();

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