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Health

A-a Gradient (Alveolar-Arterial O₂)

Calculate the alveolar-arterial O₂ gradient to distinguish hypoxemia causes. PAO₂ = FiO₂×(P_atm−47) − PaCO₂/0.8; A-a = PAO₂ − PaO₂. Normal ≈ (Age+10)/4. Elevated → V/Q mismatch, shunt, diffusion impairment. Derived from StatPearls, LITFL, Cornell PICU, and Martin 1999. Not medical advice.

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Quick start

Call this tool from your code in three languages.

cURL
curl -X POST 'https://api.elysiatools.com/en/api/tools/a-a-gradient-calculator' \
  -H 'Content-Type: application/json' \
  -d '{"pao2":55,"paco2":32,"fio2":"0.21","age":60,"patm":0,"decimalPlaces":1}'

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/a-a-gradient-calculator

Parameters

NameTypeRequiredDescription
pao2numberYesArterial partial pressure of oxygen (mmHg) from ABG.
paco2numberYesArterial partial pressure of CO₂ (mmHg) from ABG.
fio2selectYes—
agenumberYesPatient age (years), used for age-adjusted normal A-a gradient.
patmnumberNoAtmospheric pressure (mmHg). Default 760 at sea level. Lower at altitude (e.g. Denver ~630).

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-a-a-gradient-calculator": {
      "name": "a-a-gradient-calculator",
      "description": "Calculate the alveolar-arterial O₂ gradient to distinguish hypoxemia causes. PAO₂ = FiO₂×(P_atm−47) − PaCO₂/0.8; A-a = PAO₂ − PaO₂. Normal ≈ (Age+10)/4. Elevated → V/Q mismatch, shunt, diffusion impairment. Derived from StatPearls, LITFL, Cornell PICU, and Martin 1999. Not medical advice.",
      "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=a-a-gradient-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": "a-a-gradient-calculator",
    "arguments": {
  "pao2": 55,
  "paco2": 32,
  "fio2": "0.21",
  "age": 60,
  "patm": 0,
  "decimalPlaces": 1
}
  }
}
Chain multiple tools in one session with a comma-separated toolId list, e.g. /mcp/sse?toolId=png-to-webp,jpg-to-webp,gif-to-webp (max 20).

Questions or issues? Contact [email protected]

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decimalPlacesnumberNo—

Response format

JSON result

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