Health
Volume of Distribution Calculator (Vd)
Calculate the apparent volume of distribution Vd in two modes. (A) One-compartment IV bolus: Vd = Dose / C0 (C0 = concentration extrapolated to t=0). (B) From clearance and half-life (linear kinetics): Vd = CL · t½ / 0.693. Vd is an APPARENT (theoretical) volume, not an anatomical one — highly tissue-bound drugs (digoxin ≈ 7 L/kg, amiodarone ≈ 66 L/kg) can exceed total body water, while highly plasma-protein-bound drugs (warfarin ≈ 0.14 L/kg) fall far below it. Optional body-weight input converts the result to L/kg. Note: Vd = Dose/C0 gives Vc (initial); Vss (steady state) and Vz (terminal) differ for multi-compartment models, and oral dosing returns Vd/F. Not medical advice.
Quick start
Call this tool from your code in three languages.
curl -X POST 'https://api.elysiatools.com/en/api/tools/volume-of-distribution' \
-H 'Content-Type: application/json' \
-d '{"mode":"dose-c0","dose":500,"c0":10,"clearance":0,"halfLife":0,"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/volume-of-distributionParameters
| Name | Type | Required | Description |
|---|---|---|---|
| mode | select | No | — |
| dose | number | No | IV bolus dose. Required in Dose/C0 mode. |
| c0 | number | No | Concentration at t=0 (extrapolated). Required in Dose/C0 mode. |
| clearance | number | No | Clearance. Required in CL & t½ mode. |
| halfLife | number | No | Elimination half-life. Required in CL & t½ mode. |
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-volume-of-distribution": {
"name": "volume-of-distribution",
"description": "Calculate the apparent volume of distribution Vd in two modes. (A) One-compartment IV bolus: Vd = Dose / C0 (C0 = concentration extrapolated to t=0). (B) From clearance and half-life (linear kinetics): Vd = CL · t½ / 0.693. Vd is an APPARENT (theoretical) volume, not an anatomical one — highly tissue-bound drugs (digoxin ≈ 7 L/kg, amiodarone ≈ 66 L/kg) can exceed total body water, while highly plasma-protein-bound drugs (warfarin ≈ 0.14 L/kg) fall far below it. Optional body-weight input converts the result to L/kg. Note: Vd = Dose/C0 gives Vc (initial); Vss (steady state) and Vz (terminal) differ for multi-compartment models, and oral dosing returns Vd/F. Not medical advice.",
"baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=volume-of-distribution",
"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": "volume-of-distribution",
"arguments": {
"mode": "dose-c0",
"dose": 500,
"c0": 10,
"clearance": 0,
"halfLife": 0,
"weight": 70,
"decimalPlaces": 4
}
}
}