Math & Numbers
Half-Life Calculator
Exponential decay for radioactive isotopes and drugs: remaining amount, derived half-life, time to target, or steady-state accumulation. Uses N(t) = N0·e^(-λt).
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/half-life-calculator' \
-H 'Content-Type: application/json' \
-d '{"mode":"remaining","halfLife":5730,"n0":100,"nt":0,"time":11460,"percentRemaining":0,"timeUnit":"years","singleDose":0,"dosingInterval":0,"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/half-life-calculatorParameters
| Name | Type | Required | Description |
|---|---|---|---|
| mode | select | No | — |
| halfLife | number | No | Half-life in the selected time unit. Required for remaining/time/dose modes. |
| n0 | number | No | Initial quantity (mass, activity, count, dose…). Required for remaining/half-life modes. |
| nt | number | No | Measured remaining quantity. Required for half-life/time modes. |
| time | number | No |
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-half-life-calculator": {
"name": "half-life-calculator",
"description": "Exponential decay for radioactive isotopes and drugs: remaining amount, derived half-life, time to target, or steady-state accumulation. Uses N(t) = N0·e^(-λt).",
"baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=half-life-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": "half-life-calculator",
"arguments": {
"mode": "remaining",
"halfLife": 5730,
"n0": 100,
"nt": 0,
"time": 11460,
"percentRemaining": 0,
"timeUnit": "years",
"singleDose": 0,
"dosingInterval": 0,
"decimalPlaces": 4
}
}
}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]