Dosage Calculations Made Easy: Your Ultimate Guide & Calculator
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Dosage Calculation Calculator
Calculation Results
—
Formula Used: (Desired Dose / Drug Concentration) = Volume to Administer. Units are converted as needed.
Dosage Calculations: A Comprehensive Guide
{primary_keyword} is a critical skill for healthcare professionals, ensuring patients receive the correct amount of medication safely and effectively. This process involves understanding drug concentrations, desired dosages, and patient-specific factors to calculate the precise volume or quantity of medication to administer. Mastering {primary_keyword} is not just about numbers; it's about patient safety and therapeutic outcomes. Whether you are a nursing student, a practicing nurse, a pharmacist, or any healthcare provider involved in medication administration, accurate dosage calculations are paramount.
Who Should Use Dosage Calculations?
Anyone involved in preparing or administering medications needs to be proficient in {primary_keyword}. This includes:
- Registered Nurses (RNs)
- Licensed Practical Nurses (LPNs) / Licensed Vocational Nurses (LVNs)
- Pharmacists and Pharmacy Technicians
- Physician Assistants (PAs) and Nurse Practitioners (NPs)
- Medical Students and Residents
- Paramedics and Emergency Medical Technicians (EMTs)
- Any healthcare professional administering medications
Common Misconceptions about Dosage Calculations
Several myths can lead to errors in {primary_keyword}. It's important to address these:
- "It's always the same for everyone." Patient factors like weight, age, and kidney function can significantly alter required dosages.
- "Rounding is always okay." While some rounding is necessary, excessive or inappropriate rounding can lead to dangerous under- or overdosing. Always follow facility protocols.
- "If it looks right, it's right." Never rely on intuition. Always double-check calculations, especially for high-alert medications.
- "The pharmacy always gets it right." While pharmacies strive for accuracy, the final responsibility for safe administration often lies with the clinician at the bedside.
Dosage Calculation Formula and Mathematical Explanation
The fundamental principle behind most {primary_keyword} is a simple ratio and proportion or dimensional analysis. The most common formula used is:
Volume to Administer = (Desired Dose / Available Concentration)
Let's break down the variables and the process:
Variable Explanations
- Desired Dose: The amount of medication the patient needs to receive, as prescribed by the healthcare provider.
- Available Concentration: The amount of medication present in a specific unit of volume or weight of the drug preparation. This is what you have on hand.
- Volume to Administer: The calculated amount of the liquid medication (e.g., in mL) that needs to be drawn up and given to the patient to achieve the desired dose.
Unit Conversions
A crucial part of {primary_keyword} involves ensuring all units are compatible before calculation. Common conversions include:
- Grams (g) to milligrams (mg): 1 g = 1000 mg
- Milligrams (mg) to micrograms (mcg): 1 mg = 1000 mcg
- Liters (L) to milliliters (mL): 1 L = 1000 mL
- Kilograms (kg) to pounds (lb): 1 kg ≈ 2.2 lb
Our calculator handles many of these conversions automatically based on your input units.
Weight-Based Dosing
For pediatric patients or certain medications, dosages are often prescribed based on the patient's weight (e.g., 5 mg/kg). In these cases, the 'Desired Dose' is calculated first:
Calculated Desired Dose = Patient Weight × Dose per Unit Weight
Then, this calculated desired dose is used in the primary formula.
Variables Table
Key Variables in Dosage Calculations
| Variable |
Meaning |
Unit |
Typical Range |
| Drug Concentration |
Amount of drug in a given volume/weight of the preparation |
mg/mL, g/L, mcg/mL, etc. |
Varies widely (e.g., 0.5 mg/mL to 500 mg/mL) |
| Desired Dose |
Prescribed amount of drug for the patient |
mg, g, mcg, mL, L, etc. |
Varies widely based on drug and patient |
| Volume to Administer |
Calculated volume of liquid medication to give |
mL, L |
Typically 0.1 mL to 250 mL (or more for infusions) |
| Patient Weight |
Body weight of the patient |
kg, lb |
Pediatric: 0.5 kg – 50 kg; Adult: 40 kg – 150 kg+ |
| Weight-Based Dose |
Prescribed dose per unit of patient weight |
mg/kg, mcg/lb, etc. |
Varies widely (e.g., 1 mcg/kg to 100 mg/kg) |
Practical Examples (Real-World Use Cases)
Example 1: Oral Medication Calculation
Scenario: A physician orders 125 mg of Amoxicillin suspension for a child. The available suspension is labeled 250 mg per 5 mL.
Inputs for Calculator:
- Drug Concentration: 250
- Concentration Unit: mg/mL (derived from 250 mg per 5 mL)
- Desired Dose: 125
- Desired Dose Unit: mg
Calculation:
- First, determine the concentration in mg/mL: 250 mg / 5 mL = 50 mg/mL.
- Volume to Administer = (Desired Dose / Available Concentration)
- Volume to Administer = (125 mg / 50 mg/mL) = 2.5 mL
Calculator Result: Volume to Administer: 2.5 mL
Interpretation: You need to administer 2.5 mL of the Amoxicillin suspension to provide the patient with 125 mg of the drug.
Example 2: Intravenous (IV) Infusion Calculation (Simplified)
Scenario: A patient needs 500 mg of Vancomycin IV. The pharmacy supplies Vancomycin 1g in 200 mL of Normal Saline.
Inputs for Calculator:
- Drug Concentration: 1000 (converted from 1g to 1000mg)
- Concentration Unit: mg/mL (derived from 1000 mg in 200 mL)
- Desired Dose: 500
- Desired Dose Unit: mg
Calculation:
- First, determine the concentration in mg/mL: 1000 mg / 200 mL = 5 mg/mL.
- Volume to Administer = (Desired Dose / Available Concentration)
- Volume to Administer = (500 mg / 5 mg/mL) = 100 mL
Calculator Result: Volume to Administer: 100 mL
Interpretation: You need to prepare and administer 100 mL of the Vancomycin solution to deliver the prescribed 500 mg dose.
Example 3: Weight-Based Pediatric Dosing
Scenario: A 15 kg child requires Acetaminophen at a dose of 10 mg/kg. The available concentration is 160 mg per 5 mL.
Inputs for Calculator:
- Drug Concentration: 160
- Concentration Unit: mg/mL (derived from 160 mg per 5 mL)
- Patient Weight: 15
- Weight Unit: kg
- Weight-Based Dose: 10
- Weight-Based Dose Unit: mg/kg
Calculation:
- Calculate the Desired Dose: 15 kg × 10 mg/kg = 150 mg.
- Determine the concentration in mg/mL: 160 mg / 5 mL = 32 mg/mL.
- Volume to Administer = (Desired Dose / Available Concentration)
- Volume to Administer = (150 mg / 32 mg/mL) ≈ 4.69 mL
Calculator Result: Volume to Administer: ~4.7 mL (rounded)
Interpretation: You need to administer approximately 4.7 mL of the Acetaminophen suspension to provide the correct weight-based dose.
How to Use This Dosage Calculation Calculator
Our calculator is designed for simplicity and accuracy in {primary_keyword}. Follow these steps:
- Enter Drug Concentration: Input the amount of drug present in the medication you have available (e.g., 500 for 500 mg).
- Select Concentration Unit: Choose the correct units for the concentration (e.g., mg/mL). If your label says "250 mg in 5 mL", you'll calculate the mg/mL concentration (50 mg/mL) and input that.
- Enter Desired Dose: Input the dose ordered by the physician (e.g., 250).
- Select Desired Dose Unit: Choose the unit for the desired dose (e.g., mg).
- Enter Patient Weight (Optional): If the dose is weight-based, enter the patient's weight (e.g., 70).
- Select Weight Unit: Choose the unit for the patient's weight (kg or lb).
- Enter Weight-Based Dose (Optional): If applicable, enter the dose per unit of weight (e.g., 5 for 5 mg/kg).
- Select Weight-Based Dose Unit: Choose the correct unit (e.g., mg/kg).
Reading the Results:
- Main Result (Volume to Administer): This is the primary number you need – the volume (usually in mL) to draw up into your syringe or administer.
- Intermediate Values: These provide supporting calculations like the total amount of drug in the final volume and any concentration conversion factors used, aiding in verification.
- Formula Explanation: A reminder of the basic calculation performed.
Decision-Making Guidance: Always cross-reference calculator results with your clinical judgment and facility protocols. For high-alert medications or critical care scenarios, consider having a second qualified person verify the calculation.
Copy Results: Use the "Copy Results" button to easily transfer the key findings for documentation or sharing.
Reset: The "Reset" button clears all fields, allowing you to start a new calculation.
Key Factors That Affect Dosage Calculation Results
While the mathematical formulas for {primary_keyword} are straightforward, several real-world factors can influence the final dosage and its effectiveness:
- Patient Weight: Crucial for pediatric dosing and many adult medications where dose is proportional to body mass. Using incorrect weight units (kg vs. lb) or failing to account for weight can lead to significant errors.
- Patient Age and Organ Function: Infants, children, and the elderly often metabolize and excrete drugs differently than adults. Impaired kidney or liver function can drastically alter how a drug is processed, requiring dose adjustments.
- Drug Formulation and Concentration: Medications come in various forms (tablets, capsules, liquids, injectables) and concentrations. Always verify the concentration on the vial or packaging against what you are calculating for. A simple typo or misreading can be dangerous.
- Route of Administration: The intended route (oral, IV, IM, SC) affects absorption rates and bioavailability. IV doses are often lower than oral doses due to direct bloodstream entry.
- Specific Drug Properties: Some drugs have narrow therapeutic windows, meaning the difference between an effective dose and a toxic dose is small. These require meticulous {primary_keyword}. Others may have specific administration requirements (e.g., dilution instructions, infusion rates).
- Clinical Indication and Severity: The reason for prescribing the medication and the severity of the condition can influence the target dose. For example, an infection might require a higher dose than a prophylactic measure.
- Potential for Drug Interactions: Concurrent medications can affect how a drug is absorbed, distributed, metabolized, or excreted, potentially necessitating dose adjustments.
- Patient Compliance and Adherence: While not directly part of the calculation, ensuring the patient understands how and when to take their medication is vital for the therapeutic plan's success.
Frequently Asked Questions (FAQ)
Q1: What is the most common formula for dosage calculations?
A: The most common formula is: (Desired Dose / Available Concentration) = Volume to Administer. This is often remembered using mnemonics or dimensional analysis.
Q2: How do I handle different units (e.g., g vs. mg, mL vs. L)?
A: You must convert all units to be consistent before calculating. For example, if the desired dose is in grams (g) and the concentration is in milligrams per milliliter (mg/mL), convert grams to milligrams (1 g = 1000 mg) first.
Q3: What if the desired dose is weight-based?
A: First, calculate the total desired dose by multiplying the patient's weight by the prescribed dose per unit of weight (e.g., 15 kg * 10 mg/kg = 150 mg). Then, use this calculated dose in the standard formula.
Q4: How accurate do my calculations need to be?
A: Accuracy is paramount. Small errors can have severe consequences. Always double-check your work, especially with high-alert medications. Use a calculator like this one as a tool, but always apply critical thinking.
Q5: What should I do if I'm unsure about a dosage calculation?
A: Never guess. Consult with a colleague, a pharmacist, a charge nurse, or your supervisor. Patient safety is the top priority.
Q6: Can I use this calculator for all types of medications?
A: This calculator is designed for liquid medications where you calculate the volume to administer based on concentration and desired dose. It may not be suitable for calculating dosages for pills (where you determine the number of tablets) or complex IV drip rates without further calculation.
Q7: What does "available concentration" mean?
A: It refers to how much active drug is present in a specific amount of the medication preparation you have. For example, if a vial says "500 mg in 2 mL", the concentration is 250 mg/mL (500 mg divided by 2 mL).
Q8: How do I convert pounds (lb) to kilograms (kg)?
A: To convert pounds to kilograms, divide the weight in pounds by 2.2 (1 kg ≈ 2.2 lb). For example, 110 lb / 2.2 = 50 kg.
Chart: Common Drug Concentration Ranges
Typical concentration ranges for various medication types. Note: This is illustrative and not exhaustive.
Table: Dosage Calculation Units and Conversions
Common Units and Conversion Factors
| Unit Type |
Common Units |
Conversion Factor |
Notes |
| Mass |
Gram (g), Milligram (mg), Microgram (mcg) |
1 g = 1000 mg 1 mg = 1000 mcg |
Essential for most drug calculations. |
| Volume |
Liter (L), Milliliter (mL) |
1 L = 1000 mL |
Used for liquid medications and IV fluids. |
| Weight |
Kilogram (kg), Pound (lb) |
1 kg ≈ 2.20462 lb |
Crucial for weight-based dosing. |
| Concentration (Mass/Volume) |
mg/mL, g/L, mcg/mL |
Requires unit conversion of both mass and volume if different. |
Defines how much drug is in a given volume. |
| Concentration (Mass/Mass) |
mg/kg, mcg/lb |
Requires unit conversion of mass and weight if different. |
Used for weight-based dosing. |
var concentrationUnitSelect = document.getElementById('drugUnit');
var desiredDoseUnitSelect = document.getElementById('desiredDoseUnit');
var weightBasedDoseUnitSelect = document.getElementById('weightBasedDoseUnit');
function updateUnits(type, value) {
// This function is a placeholder for more complex unit handling if needed.
// For now, the selects directly influence calculations.
}
function getNumericValue(id) {
var element = document.getElementById(id);
if (!element || element.value === "") return NaN;
var value = parseFloat(element.value);
return isNaN(value) ? NaN : value;
}
function validateInput(id, min, max, errorId, unitLabel) {
var value = getNumericValue(id);
var errorElement = document.getElementById(errorId);
errorElement.textContent = ""; // Clear previous error
if (isNaN(value)) {
errorElement.textContent = "Please enter a valid number.";
return false;
}
if (value max) {
errorElement.textContent = `Value cannot exceed ${max} ${unitLabel}.`;
return false;
}
return true;
}
function convertToMgMl(value, unit) {
if (unit === 'g/mL') return value * 1000;
if (unit === 'mcg/mL') return value / 1000;
if (unit === 'mg/L') return value / 1000;
if (unit === 'g/L') return value * 1000 / 1000; // g/L to mg/mL
if (unit === 'mcg/L') return value / 1000000;
return value; // Assume mg/mL
}
function convertToMg(value, unit) {
if (unit === 'g') return value * 1000;
if (unit === 'mcg') return value / 1000;
if (unit === 'mL') return NaN; // Cannot convert volume to mass directly without concentration
if (unit === 'L') return NaN; // Cannot convert volume to mass directly without concentration
return value; // Assume mg
}
function convertWeightToKg(value, unit) {
if (unit === 'lb') return value / 2.20462;
return value; // Assume kg
}
function convertWeightBasedDoseToMgKg(value, unit) {
if (unit === 'g/kg') return value * 1000;
if (unit === 'mcg/kg') return value / 1000;
if (unit === 'mg/lb') {
var weightInKg = getNumericValue('patientWeight') / 2.20462;
if (isNaN(weightInKg) || weightInKg === 0) return NaN;
var doseInMg = value * (getNumericValue('patientWeight') / 2.20462); // value is mg/lb, need to convert to mg/kg
return doseInMg / weightInKg; // This logic is tricky, better to recalculate desired dose directly
}
if (unit === 'g/lb') {
var weightInKg = getNumericValue('patientWeight') / 2.20462;
if (isNaN(weightInKg) || weightInKg === 0) return NaN;
var doseInMg = value * 1000 * (getNumericValue('patientWeight') / 2.20462); // value is g/lb, convert to mg/kg
return doseInMg / weightInKg;
}
return value; // Assume mg/kg
}
function calculateDosage() {
// Clear previous errors
document.getElementById('drugConcentrationError').textContent = "";
document.getElementById('desiredDoseError').textContent = "";
document.getElementById('patientWeightError').textContent = "";
document.getElementById('weightBasedDoseError').textContent = "";
var concentration = getNumericValue('drugConcentration');
var concentrationUnit = concentrationUnitSelect.value;
var desiredDose = getNumericValue('desiredDose');
var desiredDoseUnit = desiredDoseUnitSelect.value;
var patientWeight = getNumericValue('patientWeight');
var weightUnit = document.getElementById('weightUnit').value;
var weightBasedDose = getNumericValue('weightBasedDose');
var weightBasedDoseUnit = weightBasedDoseUnitSelect.value;
var isValid = true;
// Basic validation
if (isNaN(concentration) || concentration <= 0) {
document.getElementById('drugConcentrationError').textContent = "Concentration must be a positive number.";
isValid = false;
}
if (isNaN(desiredDose) || desiredDose <= 0) {
document.getElementById('desiredDoseError').textContent = "Desired dose must be a positive number.";
isValid = false;
}
if (!isNaN(patientWeight) && patientWeight <= 0) {
document.getElementById('patientWeightError').textContent = "Patient weight must be a positive number.";
isValid = false;
}
if (!isNaN(weightBasedDose) && weightBasedDose 0) {
volumeToAdminister = finalDesiredDoseMg / finalConcentrationMgPerMl;
totalDrugAmount = finalDesiredDoseMg; // The desired dose is the total amount of drug needed
// Update concentration conversion factor for clarity if needed
if (concentrationUnit !== 'mg/mL') {
// This is a simplified representation. A true factor would depend on the specific conversion.
// For now, we just indicate if a conversion happened.
concentrationConversionFactor = `Converted from ${concentrationUnit}`;
} else {
concentrationConversionFactor = 'N/A (mg/mL)';
}
} else {
volumeToAdminister = NaN;
totalDrugAmount = NaN;
concentrationConversionFactor = 'Error';
}
updateResults(volumeToAdminister, totalDrugAmount, concentrationConversionFactor, finalDesiredDoseMg);
}
function updateResults(volume, totalDrug, convFactor, finalDose) {
var volumeStr = isNaN(volume) ? '–' : volume.toFixed(2);
var totalDrugStr = isNaN(totalDrug) ? '–' : totalDrug.toFixed(2);
var convFactorStr = convFactor;
var finalDoseStr = isNaN(finalDose) ? '–' : finalDose.toFixed(2);
document.getElementById('mainResult').textContent = volumeStr + (volumeStr !== '–' ? ' mL' : ");
document.getElementById('volumeToAdminister').textContent = volumeStr + (volumeStr !== '–' ? ' mL' : ");
document.getElementById('totalDrugAmount').textContent = totalDrugStr + (totalDrugStr !== '–' ? ' mg' : "); // Assuming mg as base unit
document.getElementById('concentrationConversionFactor').textContent = convFactorStr;
// Update chart data if possible
updateChart(volumeToAdminister);
}
function copyResults() {
var mainResult = document.getElementById('mainResult').textContent;
var volumeToAdminister = document.getElementById('volumeToAdminister').textContent;
var totalDrugAmount = document.getElementById('totalDrugAmount').textContent;
var concentrationConversionFactor = document.getElementById('concentrationConversionFactor').textContent;
var assumptions = [];
var concentrationInput = document.getElementById('drugConcentration').value;
var concentrationUnit = document.getElementById('drugUnit').value;
var desiredDoseInput = document.getElementById('desiredDose').value;
var desiredDoseUnit = document.getElementById('desiredDoseUnit').value;
var patientWeightInput = document.getElementById('patientWeight').value;
var weightUnit = document.getElementById('weightUnit').value;
var weightBasedDoseInput = document.getElementById('weightBasedDose').value;
var weightBasedDoseUnit = document.getElementById('weightBasedDoseUnit').value;
assumptions.push(`Drug Concentration: ${concentrationInput} ${concentrationUnit}`);
if (patientWeightInput) assumptions.push(`Patient Weight: ${patientWeightInput} ${weightUnit}`);
if (weightBasedDoseInput) assumptions.push(`Weight-Based Dose: ${weightBasedDoseInput} ${weightBasedDoseUnit}`);
if (desiredDoseInput && !weightBasedDoseInput) assumptions.push(`Desired Dose: ${desiredDoseInput} ${desiredDoseUnit}`);
var textToCopy = `— Dosage Calculation Results —\n\n`;
textToCopy += `Volume to Administer: ${volumeToAdminister}\n`;
textToCopy += `Total Drug Amount: ${totalDrugAmount}\n`;
textToCopy += `Concentration Factor: ${concentrationConversionFactor}\n\n`;
textToCopy += `— Key Assumptions —\n`;
assumptions.forEach(function(item) {
textToCopy += `- ${item}\n`;
});
navigator.clipboard.writeText(textToCopy).then(function() {
alert('Results copied to clipboard!');
}, function(err) {
console.error('Could not copy text: ', err);
alert('Failed to copy results. Please copy manually.');
});
}
function resetCalculator() {
document.getElementById('drugConcentration').value = ";
document.getElementById('drugUnit').value = 'mg/mL';
document.getElementById('desiredDose').value = ";
document.getElementById('desiredDoseUnit').value = 'mg';
document.getElementById('patientWeight').value = ";
document.getElementById('weightUnit').value = 'kg';
document.getElementById('weightBasedDose').value = ";
document.getElementById('weightBasedDoseUnit').value = 'mg/kg';
// Clear errors
document.getElementById('drugConcentrationError').textContent = "";
document.getElementById('desiredDoseError').textContent = "";
document.getElementById('patientWeightError').textContent = "";
document.getElementById('weightBasedDoseError').textContent = "";
updateResults('–', '–', '–', '–');
resetChart();
}
// — Charting —
var ctx = document.getElementById('concentrationChart').getContext('2d');
var concentrationChart = null;
function updateChart(calculatedVolume) {
if (concentrationChart) {
concentrationChart.data.datasets[0].data = [
getNumericValue('drugConcentration') || 0,
(getNumericValue('drugConcentration') || 0) / 2 // Example secondary data
];
concentrationChart.data.datasets[1].data = [
calculatedVolume || 0,
(calculatedVolume || 0) * 1.5 // Example secondary data
];
concentrationChart.options.plugins.title.text = `Dosage vs. Volume (Available: ${getNumericValue('drugConcentration') || 0} ${concentrationUnitSelect.value})`;
concentrationChart.update();
} else {
createChart(calculatedVolume);
}
}
function createChart(calculatedVolume) {
var availableConcentration = getNumericValue('drugConcentration') || 0;
var concentrationUnit = concentrationUnitSelect.value;
concentrationChart = new Chart(ctx, {
type: 'bar',
data: {
labels: ['Available Concentration', 'Calculated Volume'],
datasets: [{
label: 'Concentration Value',
data: [availableConcentration, 0], // Initial data
backgroundColor: 'rgba(0, 74, 153, 0.6)',
borderColor: 'rgba(0, 74, 153, 1)',
borderWidth: 1
},
{
label: 'Volume Administered (mL)',
data: [0, calculatedVolume || 0], // Initial data
backgroundColor: 'rgba(40, 167, 69, 0.6)',
borderColor: 'rgba(40, 167, 69, 1)',
borderWidth: 1
}]
},
options: {
responsive: true,
maintainAspectRatio: false,
scales: {
y: {
beginAtZero: true,
title: {
display: true,
text: 'Value'
}
}
},
plugins: {
title: {
display: true,
text: `Dosage vs. Volume (Available: ${availableConcentration} ${concentrationUnit})`
},
legend: {
position: 'top',
}
}
}
});
}
function resetChart() {
if (concentrationChart) {
concentrationChart.destroy();
concentrationChart = null;
// Re-initialize canvas context if needed, though Chart.js handles it.
ctx = document.getElementById('concentrationChart').getContext('2d');
}
}
// — FAQ Toggle —
function toggleFaq(element) {
var faqItem = element.closest('.faq-item');
faqItem.classList.toggle('open');
}
// Initial calculation and chart setup on load
window.onload = function() {
calculateDosage();
// Initial chart creation with default values or placeholder
createChart(0);
};