Education
Bacterial Growth Rate Constant Calculator (µ = ln2/t_d)
Specific growth rate µ from a doubling time or two counts, with per-hour/day/minute rates and E. coli benchmarks. Educational use only.
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/growth-rate-constant' \
-H 'Content-Type: application/json' \
-d '{"mode":"doubling","doublingTime":20,"n0":1000000,"nt":8000000,"elapsed":3,"timeUnit":"minutes","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/growth-rate-constantParameters
| Name | Type | Required | Description |
|---|---|---|---|
| mode | select | Yes | Enter a doubling time directly, or two counts with the elapsed time. |
| doublingTime | number | Yes | Doubling/generation time of the culture (doubling-time mode). |
| n0 | number | Yes | Count or density at the first time point (counts mode). |
| nt | number | Yes | Count or density at the second time point, same unit as N₀ (counts mode). |
| elapsed | number | Yes |
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-growth-rate-constant": {
"name": "growth-rate-constant",
"description": "Specific growth rate µ from a doubling time or two counts, with per-hour/day/minute rates and E. coli benchmarks. Educational use only.",
"baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=growth-rate-constant",
"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": "growth-rate-constant",
"arguments": {
"mode": "doubling",
"doublingTime": 20,
"n0": 1000000,
"nt": 8000000,
"elapsed": 3,
"timeUnit": "minutes",
"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]