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 'http://127.0.0.1:3003/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 http://127.0.0.1:3003/en/api/tools/growth-rate-constant

Parameters

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": "http://127.0.0.1:3003/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]

Browse tools Open tool