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.

json· JSON resultOpen tool

Quick start

Call this tool from your code in three languages.

cURL

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

HTTP

POST https://api.elysiatools.com/en/api/tools/volume-of-distribution

Parameters

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:

mcp.json

{
  "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:

tools/list

{
  "jsonrpc": "2.0",
  "id": 1,
  "method": "tools/list"
}

Call this tool

Invoke the tool by its id, passing arguments built from its parameters:

tools/call

{
  "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
}
  }
}

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