Math & Numbers
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).
Call this tool from your code in three languages.
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}'Send a POST request with your inputs as JSON. File parameters require a separate upload first.
POST https://api.elysiatools.com/en/api/tools/half-life-calculator| 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 |
Add this tool to your Model Context Protocol server so AI agents can list and call it.
Add this block to your MCP client configuration:
{
"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"
}
}
}After connecting to the SSE endpoint, list the exposed tools:
{
"jsonrpc": "2.0",
"id": 1,
"method": "tools/list"
}Invoke the tool by its id, passing arguments built from its parameters:
{
"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
}
}
}Questions or issues? Contact [email protected]
| Elapsed time in the selected unit. Required for remaining/half-life modes. |
| percentRemaining | number | No | Alternative to N(t) in time mode: target percentage of N0 still present. |
| timeUnit | select | No | — |
| singleDose | number | No | Amount of drug administered at each dose. |
| dosingInterval | number | No | Time between consecutive doses, in the selected time unit. |
| decimalPlaces | number | No | — |
JSON result
{
"key": {...},
"metadata": {
"key": "value"
},
"error": "Error message (optional)",
"message": "Notification message (optional)"
}