Health
Loading Dose Calculator (LD = Css · Vd / F)
Calculate the loading dose required to rapidly reach a target plasma concentration: LD = Css · Vd / F, where Css is the target concentration, Vd is the volume of distribution, and F is bioavailability (1 for IV, <1 for oral). A loading dose achieves Css essentially immediately (one-compartment IV bolus) instead of waiting 4–5 half-lives for accumulation. For oral loading, divide by F. Maintenance dosing (MD = Css·CL·τ/F) must follow to sustain the concentration. Loading doses are hazardous for narrow-therapeutic-index drugs (digoxin, theophylline, antiarrhythmics) — clinical judgement required. Optional body-weight input converts the result to mg/kg. Not medical advice.
Quick start
Call this tool from your code in three languages.
curl -X POST 'https://api.elysiatools.com/en/api/tools/loading-dose-calculator' \
-H 'Content-Type: application/json' \
-d '{"css":10,"vd":35,"bioavailability":1,"weight":70,"decimalPlaces":4}'API reference
Send a POST request with your inputs as JSON. File parameters require a separate upload first.
Endpoint
POST https://api.elysiatools.com/en/api/tools/loading-dose-calculatorParameters
| Name | Type | Required | Description |
|---|---|---|---|
| css | number | Yes | Target plasma concentration to be achieved by the loading dose. Must be positive. |
| vd | number | Yes | Apparent volume of distribution. Must be positive. |
| bioavailability | number | Yes | Fraction of dose reaching systemic circulation. IV=1, oral<1. Range (0, 1]. |
| weight | number | No | Optional body weight to report the loading dose in mg/kg. |
| decimalPlaces | number |
MCP integration
Add this tool to your Model Context Protocol server so AI agents can list and call it.
Server configuration
Add this block to your MCP client configuration:
{
"mcpServers": {
"elysiatools-loading-dose-calculator": {
"name": "loading-dose-calculator",
"description": "Calculate the loading dose required to rapidly reach a target plasma concentration: LD = Css · Vd / F, where Css is the target concentration, Vd is the volume of distribution, and F is bioavailability (1 for IV, <1 for oral). A loading dose achieves Css essentially immediately (one-compartment IV bolus) instead of waiting 4–5 half-lives for accumulation. For oral loading, divide by F. Maintenance dosing (MD = Css·CL·τ/F) must follow to sustain the concentration. Loading doses are hazardous for narrow-therapeutic-index drugs (digoxin, theophylline, antiarrhythmics) — clinical judgement required. Optional body-weight input converts the result to mg/kg. Not medical advice.",
"baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=loading-dose-calculator",
"command": "",
"args": [],
"env": {},
"isActive": true,
"type": "sse"
}
}
}List available tools
After connecting to the SSE endpoint, list the exposed tools:
{
"jsonrpc": "2.0",
"id": 1,
"method": "tools/list"
}Call this tool
Invoke the tool by its id, passing arguments built from its parameters:
{
"jsonrpc": "2.0",
"id": 2,
"method": "tools/call",
"params": {
"name": "loading-dose-calculator",
"arguments": {
"css": 10,
"vd": 35,
"bioavailability": 1,
"weight": 70,
"decimalPlaces": 4
}
}
}