Health

Steady-State Concentration Calculator (Css = F·Dose / CL·τ)

Estimate the average steady-state plasma concentration under repeated fixed-interval dosing: Css,avg = (F · Dose) / (CL · τ), where F is bioavailability (1 for IV, <1 for oral), CL is clearance, and τ is the dosing interval. If t½ and Vd are also provided, computes the one-compartment IV-bolus accumulation index Rac = 1/(1-e^(-kτ)), peak Cmax,ss, trough Cmin,ss, and time to ~94%/~97% of steady state (4/5 half-lives). Valid only for linear pharmacokinetics with fixed dose and interval — NOT for Michaelis-Menten drugs or non-linear kinetics. Not medical advice.

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/steady-state-concentration' \
  -H 'Content-Type: application/json' \
  -d '{"dose":200,"bioavailability":0.9,"clearance":2.8,"interval":8,"halfLife":0,"vd":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/steady-state-concentration

Parameters

Name	Type	Required	Description
dose	number	Yes	Dose administered at each interval. Must be positive.
bioavailability	number	Yes	Fraction of dose reaching systemic circulation. IV=1, oral<1. Range (0, 1].
clearance	number	Yes	Drug clearance in L/h. Must be positive.
interval	number	Yes	Time between consecutive doses in hours. Must be positive.
halfLife	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-steady-state-concentration": {
      "name": "steady-state-concentration",
      "description": "Estimate the average steady-state plasma concentration under repeated fixed-interval dosing: Css,avg = (F · Dose) / (CL · τ), where F is bioavailability (1 for IV, <1 for oral), CL is clearance, and τ is the dosing interval. If t½ and Vd are also provided, computes the one-compartment IV-bolus accumulation index Rac = 1/(1-e^(-kτ)), peak Cmax,ss, trough Cmin,ss, and time to ~94%/~97% of steady state (4/5 half-lives). Valid only for linear pharmacokinetics with fixed dose and interval — NOT for Michaelis-Menten drugs or non-linear kinetics. Not medical advice.",
      "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=steady-state-concentration",
      "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": "steady-state-concentration",
    "arguments": {
  "dose": 200,
  "bioavailability": 0.9,
  "clearance": 2.8,
  "interval": 8,
  "halfLife": 0,
  "vd": 0,
  "decimalPlaces": 4
}
  }
}

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