Health

IV Infusion Rate Calculator (R₀ = Css · CL)

Calculate the continuous IV infusion rate that maintains a target steady-state plasma concentration: R₀ = Css · CL, where Css is the target concentration and CL is clearance. At steady state, the infusion rate equals the elimination rate. If the IV solution concentration (mg/mL) is provided, the tool additionally derives the infusion-pump delivery rate in mL/h, which is what the pump is actually set to in clinical practice. This is an IV-only tool — bioavailability F is not applicable. Reaching steady state requires approximately 4–5 half-lives. 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/iv-infusion-rate-calculator' \
  -H 'Content-Type: application/json' \
  -d '{"css":10,"clearance":2.8,"concentration":2,"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/iv-infusion-rate-calculator

Parameters

Name	Type	Required	Description
css	number	Yes	Target steady-state plasma concentration. Must be positive.
clearance	number	Yes	Drug clearance in L/h. Must be positive.
concentration	number	No	Optional concentration of the IV solution. When provided, the pump rate in mL/h is derived.
decimalPlaces	number	No	—

Response format

JSON result

JSON

{
  "key": {...},
  "metadata": {
    "key": "value"
  },
  "error": "Error message (optional)",
  "message": "Notification message (optional)"
}

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-iv-infusion-rate-calculator": {
      "name": "iv-infusion-rate-calculator",
      "description": "Calculate the continuous IV infusion rate that maintains a target steady-state plasma concentration: R₀ = Css · CL, where Css is the target concentration and CL is clearance. At steady state, the infusion rate equals the elimination rate. If the IV solution concentration (mg/mL) is provided, the tool additionally derives the infusion-pump delivery rate in mL/h, which is what the pump is actually set to in clinical practice. This is an IV-only tool — bioavailability F is not applicable. Reaching steady state requires approximately 4–5 half-lives. Not medical advice.",
      "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=iv-infusion-rate-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": "iv-infusion-rate-calculator",
    "arguments": {
  "css": 10,
  "clearance": 2.8,
  "concentration": 2,
  "decimalPlaces": 4
}
  }
}

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IV Infusion Rate Calculator (R₀ = Css · CL)

json· JSON resultOpen tool

Name

Type

Required

Description

css

number

Yes

Target steady-state plasma concentration. Must be positive.

clearance

number

Yes

Drug clearance in L/h. Must be positive.

concentration

number

Optional concentration of the IV solution. When provided, the pump rate in mL/h is derived.

decimalPlaces

number

—

{ "mcpServers": { "elysiatools-iv-infusion-rate-calculator": { "name": "iv-infusion-rate-calculator", "description": "Calculate the continuous IV infusion rate that maintains a target steady-state plasma concentration: R₀ = Css · CL, where Css is the target concentration and CL is clearance. At steady state, the infusion rate equals the elimination rate. If the IV solution concentration (mg/mL) is provided, the tool additionally derives the infusion-pump delivery rate in mL/h, which is what the pump is actually set to in clinical practice. This is an IV-only tool — bioavailability F is not applicable. Reaching steady state requires approximately 4–5 half-lives. Not medical advice.", "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=iv-infusion-rate-calculator", "command": "", "args": [], "env": {}, "isActive": true, "type": "sse" } } }

{ "jsonrpc": "2.0", "id": 2, "method": "tools/call", "params": { "name": "iv-infusion-rate-calculator", "arguments": { "css": 10, "clearance": 2.8, "concentration": 2, "decimalPlaces": 4 } } }