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.

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/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

HTTP

POST https://api.elysiatools.com/en/api/tools/loading-dose-calculator

Parameters

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:

mcp.json

{
  "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:

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": "loading-dose-calculator",
    "arguments": {
  "css": 10,
  "vd": 35,
  "bioavailability": 1,
  "weight": 70,
  "decimalPlaces": 4
}
  }
}

Browse tools Open tool