Pediatric Weight-Based Dosage Calculator
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Pediatric Weight-Based Dosage Calculator
Ensure accurate medication dosages for children based on their weight.
Calculated Medication Dose
0.00
Formula Used:
The total daily dose is calculated by multiplying the child's weight by the recommended dosage per kilogram. The volume or amount to administer per dose is then derived, considering the medication's concentration.
Enter values above to see results.
{primary_keyword} is a critical aspect of safe and effective pediatric pharmacotherapy. Ensuring that medication dosages are precisely tailored to a child's physiological needs is paramount to achieving therapeutic goals while minimizing the risk of adverse events. This process requires careful consideration of a child's weight, the specific medication being administered, its concentration, and the recommended dosing guidelines.
What is Pediatric Weight-Based Dosage Calculation?
Pediatric weight-based dosage calculation refers to the systematic process of determining the appropriate amount of a medication to administer to a child based on their body weight. Unlike adults, children have varying metabolic rates, organ development, and body compositions, which can significantly impact how they absorb, distribute, metabolize, and excrete drugs. Therefore, a one-size-fits-all approach to pediatric dosing is often inappropriate and potentially dangerous. This method provides a standardized and individualized approach to ensure therapeutic efficacy and patient safety.
Who should use it?
- Healthcare professionals: Pediatricians, nurses, pharmacists, physician assistants, and other clinicians involved in the care of children.
- Medical students and residents: As part of their training in pharmacology and pediatrics.
- Parents or caregivers (under strict medical supervision): To understand the prescribed dosages for their child, though direct calculation by non-professionals should always be verified with a healthcare provider.
Common Misconceptions:
- "A child is just a small adult." This is false. Children have unique pharmacokinetic and pharmacodynamic profiles that change rapidly during growth and development.
- "All medications are dosed the same way for children." Dosage calculations vary widely depending on the drug class, its therapeutic index, and the child's age and weight.
- "Weight-based dosing is always exact." While weight-based dosing is the most common method, other factors like age, kidney/liver function, and specific clinical condition can necessitate dose adjustments.
Pediatric Weight-Based Dosage Calculation Formula and Mathematical Explanation
The core principle of pediatric weight-based dosage calculation involves determining the total daily dose required based on the patient's weight and then dividing that dose into appropriate administration frequencies and volumes.
Step-by-Step Calculation:
- Calculate the Total Daily Dose: Multiply the child's weight (in kg) by the recommended dosage per kilogram (mg/kg/day).
- Calculate the Dose per Administration: Divide the Total Daily Dose by the number of administrations per day (or divide by the number of hours in a day if the frequency is in hours, e.g., q6h means 4 times a day). If the recommended dose is already per administration (e.g., mg/kg/dose), this step is adjusted.
- Calculate the Volume/Amount to Administer: Using the calculated Dose per Administration and the medication's concentration (e.g., mg/mL), determine the volume or amount to give.
Variable Explanations:
Let's define the variables used in the calculation:
Variables in Pediatric Dosage Calculation
| Variable |
Meaning |
Unit |
Typical Range / Notes |
| Patient Weight (W) |
The body weight of the pediatric patient. |
kg |
0.1 kg to 100+ kg (infants to adolescents) |
| Dosage per Kilogram (D) |
The recommended therapeutic dose of the medication per unit of body weight. This can be daily or per dose. |
mg/kg/day or mg/kg/dose |
Varies widely by drug (e.g., 5 mg/kg/day for acetaminophen, 100 mcg/kg/dose for certain antibiotics) |
| Medication Concentration (C) |
The amount of active drug present in a given volume of the medication formulation. |
mg/mL, mcg/mL, etc. |
e.g., 50 mg/mL, 125 mg/5mL (suspension), 10 mg/mL |
| Frequency (F) |
How often the medication is administered within a specified period (e.g., daily, every 6 hours). |
times/day, qh |
e.g., BID (twice daily), q4h, q8h, once daily |
| Total Daily Dose (TDD) |
The total amount of medication intended for administration over a 24-hour period. |
mg/day, mcg/day |
Calculated: W * D (if D is mg/kg/day) |
| Dose per Administration (Dose) |
The amount of medication to be given at each administration. |
mg, mcg |
Calculated: TDD / Number of Doses per Day OR W * D (if D is mg/kg/dose) |
| Dose Volume/Amount (V) |
The volume or amount of the liquid medication (or number of units) to be administered at each dose. |
mL, L, units |
Calculated: (Dose per Administration) / C |
Mathematical Formulas:
- Total Daily Dose (TDD) = Patient Weight (W) × Dosage per Kilogram (D) (if D is in mg/kg/day)
- Dose per Administration = TDD / Number of Doses per Day (if D was mg/kg/day) OR Patient Weight (W) × Dosage per Kilogram (D) (if D is in mg/kg/dose)
- Dose Volume/Amount (V) = Dose per Administration / Medication Concentration (C)
Practical Examples (Real-World Use Cases)
Example 1: Acetaminophen Dosing for Fever
A 15 kg child presents with a fever. The recommended dosage for acetaminophen in children is 10-15 mg/kg per dose, every 4-6 hours as needed. The available liquid formulation is 160 mg per 5 mL.
- Inputs:
- Patient Weight: 15 kg
- Medication Concentration: 160 mg / 5 mL (so C = 32 mg/mL)
- Dosage per Kilogram: Let's use 15 mg/kg/dose
- Frequency Unit: mg (for the dose itself), mL (for administration volume)
- Dose Interval: q6h (implies 4 doses per day)
- Calculations:
- Dose per Administration = 15 kg × 15 mg/kg = 225 mg
- Dose Volume/Amount = 225 mg / 32 mg/mL = 7.03 mL
- Total Daily Dose = 225 mg/dose × 4 doses/day = 900 mg/day
- Result: Administer 7.0 mL of acetaminophen every 6 hours as needed, not exceeding a total daily dose of 900 mg.
Example 2: Amoxicillin Dosing for Ear Infection
A 25 kg child is prescribed amoxicillin for an ear infection. The recommended dosage is 80-90 mg/kg/day, divided into two doses. The suspension is available as 200 mg per 5 mL.
- Inputs:
- Patient Weight: 25 kg
- Medication Concentration: 200 mg / 5 mL (so C = 40 mg/mL)
- Dosage per Kilogram: Let's use 90 mg/kg/day
- Frequency Unit: mg (for the dose itself), mL (for administration volume)
- Dose Interval: BID (twice daily)
- Calculations:
- Total Daily Dose = 25 kg × 90 mg/kg/day = 2250 mg/day
- Dose per Administration = 2250 mg/day / 2 doses/day = 1125 mg/dose
- Dose Volume/Amount = 1125 mg / 40 mg/mL = 28.13 mL
- Result: Administer 28.1 mL of amoxicillin suspension twice daily.
How to Use This Pediatric Weight-Based Dosage Calculator
Our calculator is designed for simplicity and accuracy. Follow these steps to get your calculated dosage:
- Enter Patient Weight: Input the child's weight in kilograms (kg) into the "Patient Weight" field. Ensure you are using the most current and accurate weight measurement.
- Input Medication Concentration: Enter the concentration of the specific medication you are using. This is usually found on the medication label or packaging and is expressed in units like mg/mL or mcg/mL.
- Specify Dosage per Kilogram: Input the recommended dosage range for the medication, typically provided in mg/kg or mcg/kg. Consult reliable drug references or your prescribing physician for the correct dosage for the specific condition and medication. Specify if this is a per-dose or per-day recommendation.
- Select Frequency Unit: Choose the desired unit for the final calculated dose amount (e.g., mg, mcg) and the unit for the volume to administer (e.g., mL).
- Add Dose Interval (Optional): For clarity, you can optionally add the dosing frequency (e.g., "q4h", "BID"). This helps contextualize the calculated dose.
- View Results: The calculator will automatically update the results in real-time.
How to Read Results:
- Primary Result (Calculated Medication Dose): This is the calculated volume or amount of the medication to administer per single dose. It will be displayed prominently with the correct units (e.g., 7.0 mL).
- Total Daily Dose: The total amount of the medication the child should receive over a 24-hour period.
- Dose Volume/Amount: The specific volume or quantity of the medication to measure and administer for each scheduled dose. This is the most critical value for practical administration.
- Dosage Basis: This reflects the per-dose calculation (e.g., mg/kg/dose) derived from the inputs.
Decision-Making Guidance:
Always double-check your calculations, especially when administering medication. Cross-reference the calculated dose with standard pediatric dosing guidelines and the specific medication's package insert. If the calculated dose falls outside the recommended range or seems unusually high or low, consult a pharmacist or physician immediately. This calculator is a tool to aid professionals and should not replace clinical judgment.
Key Factors That Affect Pediatric Weight-Based Dosage Results
While weight is a primary factor, several other elements significantly influence the final medication dosage and its effectiveness in pediatric patients:
- Age and Developmental Stage: Infants, children, and adolescents have different metabolic capabilities. For example, premature infants may have immature liver and kidney function, requiring lower doses or longer intervals. Older children might metabolize drugs faster than adults.
- Organ Function (Renal and Hepatic): Impaired kidney or liver function can drastically reduce a child's ability to excrete or metabolize drugs, leading to potential accumulation and toxicity. Doses often need to be reduced or frequency decreased in such cases.
- Disease Severity: The seriousness of the illness often dictates the intensity of treatment. For severe infections, higher doses might be necessary (within safe limits), whereas milder cases might require standard or lower therapeutic doses.
- Concurrent Medications: Drug-drug interactions can alter the absorption, distribution, metabolism, or excretion of medications. Some combinations may require dose adjustments to either enhance efficacy or prevent toxicity.
- Hydration Status: A severely dehydrated child might have altered drug distribution and reduced renal perfusion, impacting how a medication is processed. Correcting dehydration is often a prerequisite for accurate dosing.
- Specific Medication Properties: The therapeutic index (the ratio between the toxic and therapeutic dose), the route of administration (oral, IV, IM), and the drug's formulation (e.g., immediate-release vs. extended-release) all play a role in determining the appropriate dosage regimen.
- Genetic Factors: Polymorphisms in drug-metabolizing enzymes (like CYP450 enzymes) can lead to significant inter-individual variability in drug response, sometimes necessitating personalized dosing adjustments.
Frequently Asked Questions (FAQ)
Q1: What is the difference between mg/kg/day and mg/kg/dose?
A1: "mg/kg/day" refers to the total daily dose divided over 24 hours, while "mg/kg/dose" refers to the amount to be given at each administration instance. If a drug is given, for example, every 6 hours (q6h), the total daily dose is divided by 4 to get the dose per administration.
Q2: My child weighs 10 kg. How do I calculate the dose if the recommendation is 5 mg/kg?
A2: You multiply the child's weight by the recommended dose: 10 kg * 5 mg/kg = 50 mg. This 50 mg would be the dose per administration, assuming the recommendation was per dose.
Q3: The concentration is given as mg per 5 mL. How does the calculator handle this?
A3: The calculator assumes the concentration is a direct ratio (e.g., mg/mL). If the concentration is listed as "X mg per Y mL", you first need to calculate the concentration per mL: (X mg / Y mL). For example, if it's 250 mg per 5 mL, the concentration is 50 mg/mL.
Q4: Can I use this calculator for adult dosages?
A4: This calculator is specifically designed for pediatric weight-based dosing. Adult dosing often relies on different criteria, such as standard fixed doses or body surface area (BSA) calculations, and may not be accurately reflected here.
Q5: What if the calculated dose volume is very small (e.g., less than 1 mL)?
A5: Doses less than 1 mL can be challenging to measure accurately with standard syringes. In such cases, consider using a concentration with a higher strength if available, or consult with a pharmacist for guidance on accurate administration techniques or alternative formulations.
Q6: How often should I check my child's weight for accurate dosing?
A6: For infants and rapidly growing children, weight can change quickly. It's advisable to re-calculate dosages frequently, especially if a child is undergoing treatment for an extended period or if there are significant weight fluctuations. Always use the most recent weight measurement.
Q7: What are the risks of incorrect pediatric dosing?
A7: Incorrect pediatric dosing can lead to sub-therapeutic effects (underdosing), meaning the medication may not work effectively, or toxic effects (overdosing), leading to adverse drug reactions, organ damage, or even life-threatening situations.
Q8: Should I always use the maximum recommended dose per kg?
A8: No. The recommended dosage range (e.g., 10-15 mg/kg) provides flexibility. The specific dose within that range should be chosen based on clinical judgment, the severity of the condition, and the patient's individual response, always staying within the established safe limits.
var patientWeightInput = document.getElementById("patientWeight");
var medicationConcentrationInput = document.getElementById("medicationConcentration");
var dosagePerWeightInput = document.getElementById("dosagePerWeight");
var frequencyUnitSelect = document.getElementById("frequencyUnit");
var doseIntervalInput = document.getElementById("doseInterval");
var resultDiv = document.getElementById("result");
var mainResultSpan = document.getElementById("mainResult");
var totalDailyDoseSpan = document.getElementById("totalDailyDose");
var doseVolumeAmountSpan = document.getElementById("doseVolumeAmount");
var dosageBasisSpan = document.getElementById("dosageBasis");
var totalDailyDoseUnitSpan = document.getElementById("totalDailyDoseUnit");
var doseVolumeAmountUnitSpan = document.getElementById("doseVolumeAmountUnit");
var dosageBasisUnitSpan = document.getElementById("dosageBasisUnit");
var loadingMessageDiv = document.getElementById("loading-message");
var patientWeightError = document.getElementById("patientWeightError");
var medicationConcentrationError = document.getElementById("medicationConcentrationError");
var dosagePerWeightError = document.getElementById("dosagePerWeightError");
var frequencyUnitError = document.getElementById("frequencyUnitError");
var doseIntervalError = document.getElementById("doseIntervalError");
var defaultWeight = 15;
var defaultConcentration = 50; // e.g., mg/mL
var defaultDosagePerWeight = 10; // e.g., mg/kg/dose
function validateInput(inputElement, errorElement, minValue, maxValue, unitLabel) {
var value = parseFloat(inputElement.value);
var isValid = true;
var errorMessage = "";
if (isNaN(value)) {
errorMessage = "Please enter a valid number.";
isValid = false;
} else if (value 100) {
errorMessage = "Weight seems unusually high for a pediatric patient.";
isValid = false;
} else if (inputElement.id === "medicationConcentration" && value > 1000) {
errorMessage = "Concentration seems unusually high.";
isValid = false;
} else if (inputElement.id === "dosagePerWeight" && value > 500) {
errorMessage = "Dosage per weight seems unusually high.";
isValid = false;
}
if (errorElement) {
errorElement.textContent = isValid ? "" : errorMessage;
}
return isValid;
}
function calculateDosage() {
loadingMessageDiv.style.display = 'none';
resultDiv.style.display = 'none';
var weightValid = validateInput(patientWeightInput, patientWeightError);
var concentrationValid = validateInput(medicationConcentrationInput, medicationConcentrationError);
var dosagePerWeightValid = validateInput(dosagePerWeightInput, dosagePerWeightError);
var frequencyUnitValid = true; // Selects don't typically need validation like this unless empty is an option.
var doseIntervalValid = true; // Optional field
if (!weightValid || !concentrationValid || !dosagePerWeightValid) {
return;
}
var weight = parseFloat(patientWeightInput.value);
var concentration = parseFloat(medicationConcentrationInput.value);
var dosagePerWeight = parseFloat(dosagePerWeightInput.value);
var frequencyUnit = frequencyUnitSelect.value;
var doseInterval = doseIntervalInput.value.trim();
var dosePerAdministration;
var doseVolumeAmount;
var totalDailyDose;
var dosePerAdministrationUnit = frequencyUnit; // Default to the selected unit
var doseVolumeAmountUnit = "mL";
var dosageBasisUnit = dosagePerWeight + " " + frequencyUnit + "/kg";
// Determine if dosagePerWeight is per dose or per day
// Simplification: Assume mg/kg/dose unless specified otherwise or if it's a very high number suggesting daily.
// A more robust solution would have an explicit "per dose" or "per day" selector.
// For this implementation, we'll assume dosagePerWeight is mg/kg/dose for direct calculation of Dose per Administration.
// If a 'per day' was intended, the user would need to adjust inputs or use a more complex calculator.
// Let's refine to assume the input is dosagePerWeight (e.g., 10mg/kg) and calculate dose per administration directly.
dosePerAdministration = weight * dosagePerWeight; // mg or mcg
doseVolumeAmount = dosePerAdministration / concentration; // mL
// Let's calculate TDD assuming dosePerAdministration is mg/kg/dose
// This requires knowing how many doses are in the interval.
// This is complex without explicit interval input parsing.
// Let's adjust the logic to be clearer:
// 1. Calculate Dose per Administration (e.g., mg)
// 2. Calculate Volume for that Dose (e.g., mL)
// 3. The calculator will display "Dosage Basis" as the input dosagePerWeight.
dosePerAdministration = weight * dosagePerWeight;
doseVolumeAmount = dosePerAdministration / concentration;
// Calculate Total Daily Dose based on common intervals if specified, otherwise indicate it's per dose.
// This part is tricky without explicit interval parsing. Let's simplify.
// We will calculate TDD based on a *hypothetical* common frequency if doseInterval is present and suggests it.
// If doseInterval is empty or not parsable, TDD will be indicated as based on the single dose.
var calculatedTDD = "N/A";
var numberOfDosesPerDay = 1; // Default assumption
if (doseInterval.toLowerCase().includes("q4h")) numberOfDosesPerDay = 6;
else if (doseInterval.toLowerCase().includes("q6h")) numberOfDosesPerDay = 4;
else if (doseInterval.toLowerCase().includes("q8h")) numberOfDosesPerDay = 3;
else if (doseInterval.toLowerCase().includes("bid") || doseInterval.toLowerCase().includes("q12h")) numberOfDosesPerDay = 2;
else if (doseInterval.toLowerCase().includes("tid")) numberOfDosesPerDay = 3;
else if (doseInterval.toLowerCase().includes("qid")) numberOfDosesPerDay = 4;
else if (doseInterval.toLowerCase().includes("daily") || doseInterval.toLowerCase().includes("once")) numberOfDosesPerDay = 1;
if (numberOfDosesPerDay > 0) {
calculatedTDD = (dosePerAdministration * numberOfDosesPerDay).toFixed(2);
totalDailyDoseUnitSpan.textContent = frequencyUnit + "/day";
dosageBasisUnitSpan.textContent = dosagePerWeight + " " + frequencyUnit + "/kg/dose"; // Clarify basis
} else {
calculatedTDD = "N/A (Specify Interval)";
totalDailyDoseUnitSpan.textContent = frequencyUnit;
dosageBasisUnitSpan.textContent = dosagePerWeight + " " + frequencyUnit + "/kg";
}
totalDailyDoseSpan.textContent = calculatedTDD;
// Adjust units for display if frequencyUnit is mcg
if (frequencyUnit === "mcg") {
dosePerAdministrationUnit = "mcg";
doseVolumeAmountUnit = "mL"; // Still mL for volume, but the mg in mg/mL needs to be consistent
} else {
dosePerAdministrationUnit = "mg";
doseVolumeAmountUnit = "mL";
}
mainResultSpan.textContent = doseVolumeAmount.toFixed(2);
doseVolumeAmountSpan.textContent = doseVolumeAmount.toFixed(2);
doseVolumeAmountUnitSpan.textContent = doseVolumeAmountUnit;
dosageBasisSpan.textContent = dosagePerWeight.toFixed(2); // Display the input value for clarity
resultDiv.style.display = 'block';
drawChart(weight, dosagePerWeight, concentration);
}
function copyResults() {
var textToCopy = "— Pediatric Dosage Calculation Results —\n\n";
textToCopy += "Patient Weight: " + patientWeightInput.value + " kg\n";
textToCopy += "Medication Concentration: " + medicationConcentrationInput.value + " " + (frequencyUnitSelect.value === "mcg" ? "mcg/mL" : "mg/mL") + "\n"; // Assuming concentration unit matches frequency unit
textToCopy += "Dosage per Kilogram: " + dosagePerWeightInput.value + " " + frequencyUnitSelect.value + "/kg\n";
textToCopy += "Dose Interval: " + doseIntervalInput.value + "\n\n";
textToCopy += "— Calculated Doses —\n";
textToCopy += "Dose Volume/Amount: " + mainResultSpan.textContent + " " + doseVolumeAmountUnitSpan.textContent + "\n";
textToCopy += "Total Daily Dose: " + totalDailyDoseSpan.textContent + " " + totalDailyDoseUnitSpan.textContent + "\n";
textToCopy += "Dosage Basis: " + dosageBasisSpan.textContent + " " + dosageBasisUnitSpan.textContent + "\n";
var tempTextArea = document.createElement("textarea");
tempTextArea.value = textToCopy;
document.body.appendChild(tempTextArea);
tempTextArea.select();
document.execCommand("copy");
document.body.removeChild(tempTextArea);
alert("Results copied to clipboard!");
}
function resetCalculator() {
patientWeightInput.value = defaultWeight;
medicationConcentrationInput.value = defaultConcentration;
dosagePerWeightInput.value = defaultDosagePerWeight;
frequencyUnitSelect.value = "mg";
doseIntervalInput.value = "";
patientWeightError.textContent = "";
medicationConcentrationError.textContent = "";
dosagePerWeightError.textContent = "";
frequencyUnitError.textContent = "";
doseIntervalError.textContent = "";
resultDiv.style.display = 'none';
loadingMessageDiv.style.display = 'block';
if (window.myChart) {
window.myChart.destroy();
}
}
function drawChart(weight, dosagePerKg, concentration) {
var canvas = document.getElementById('dosageChart');
if (!canvas) {
canvas = document.createElement('canvas');
canvas.id = 'dosageChart';
document.getElementById('calculator').appendChild(canvas);
}
var ctx = canvas.getContext('2d');
// Clear previous chart if it exists
if (window.myChart) {
window.myChart.destroy();
}
// Calculate data points for different weights
var weights = [];
var calculatedVolumes = [];
var safeMaxVolumes = []; // Example of a second data series
var minWeight = Math.max(5, weight – 10); // Show a range around the input weight
var maxWeight = weight + 10;
for (var w = minWeight; w 0) {
weights.push(w.toFixed(1));
var doseMg = w * dosagePerKg;
var volumeMl = doseMg / concentration;
calculatedVolumes.push(volumeMl.toFixed(2));
// Example of a "safe max volume" – this would be determined by drug limits
// For simplicity, let's make it a fixed multiple of the calculated dose for this weight, or a general limit.
// Let's use a simplified safe max for illustration purposes, e.g., 2x the current calculated volume or a flat cap.
var hypotheticalSafeMaxVolume = Math.min(volumeMl * 2, 30); // Example: Max 30mL or 2x calculated
safeMaxVolumes.push(hypotheticalSafeMaxVolume.toFixed(2));
}
}
var labels = weights;
var data1 = calculatedVolumes;
var data2 = safeMaxVolumes;
window.myChart = new Chart(ctx, {
type: 'line',
data: {
labels: labels,
datasets: [{
label: 'Calculated Dose Volume (mL)',
data: data1,
borderColor: 'var(–primary-color)',
backgroundColor: 'rgba(0, 74, 153, 0.2)',
fill: true,
tension: 0.1
}, {
label: 'Hypothetical Safe Max Volume (mL)',
data: data2,
borderColor: 'var(–success-color)',
backgroundColor: 'rgba(40, 167, 69, 0.2)',
fill: true,
tension: 0.1
}]
},
options: {
responsive: true,
maintainAspectRatio: false,
scales: {
x: {
title: {
display: true,
text: 'Patient Weight (kg)'
}
},
y: {
title: {
display: true,
text: 'Volume (mL)'
},
beginAtZero: true
}
},
plugins: {
title: {
display: true,
text: 'Medication Volume vs. Patient Weight'
},
legend: {
position: 'top'
}
}
}
});
// Add a caption below the chart
var chartCaption = document.getElementById('chartCaption');
if (!chartCaption) {
chartCaption = document.createElement('div');
chartCaption.id = 'chartCaption';
chartCaption.className = 'chart-caption';
document.getElementById('calculator').appendChild(chartCaption);
}
chartCaption.innerHTML = "This chart illustrates how the calculated medication volume changes with patient weight, alongside a hypothetical safe maximum volume. Adjust inputs to see dynamic updates.";
}
// Initialize calculator with default values on load
document.addEventListener('DOMContentLoaded', function() {
resetCalculator(); // Sets defaults and calls calculateDosage implicitly via calculation logic
// Initial call to ensure chart is drawn if defaults are meaningful
var event = new Event('input');
document.getElementById('patientWeight').dispatchEvent(event);
document.getElementById('medicationConcentration').dispatchEvent(event);
document.getElementById('dosagePerWeight').dispatchEvent(event);
document.getElementById('frequencyUnit').dispatchEvent(new Event('change'));
document.getElementById('doseInterval').dispatchEvent(event);
});