Health
Dosing Interval Designer (Peak/Trough Ratio)
Design the dosing interval τ from the steady-state peak/trough concentration ratio. For one-compartment linear kinetics at steady state, the peak-to-trough ratio over one interval is P = Cmax,ss / Cmin,ss = e^(kτ) where k = ln2 / t½. Mode A: given a target peak/trough ratio, solve for the dosing interval τ = ln(P) · t½ / ln2. Mode B: given a chosen interval τ, compute the resulting peak/trough ratio P = e^(kτ). Note: P reflects fluctuation WITHIN one interval and is NOT the accumulation index (R = 1/(1-e^(-kτ))). Valid only for linear one-compartment kinetics, steady state, fixed dose and interval. Not medical advice.
Quick start
Call this tool from your code in three languages.
curl -X POST 'https://api.elysiatools.com/en/api/tools/dosing-interval-designer' \
-H 'Content-Type: application/json' \
-d '{"mode":"ratio-to-tau","halfLife":6,"ratio":4,"interval":0,"decimalPlaces":4}'API reference
Send a POST request with your inputs as JSON. File parameters require a separate upload first.
Endpoint
POST https://api.elysiatools.com/en/api/tools/dosing-interval-designerParameters
| Name | Type | Required | Description |
|---|---|---|---|
| mode | select | No | — |
| halfLife | number | Yes | Elimination half-life. Must be positive. |
| ratio | number | No | Target peak/trough ratio. Required in mode A. Must be >1 (peak exceeds trough). |
| interval | number | No | Chosen dosing interval. Required in mode B. Must be positive. |
| decimalPlaces | 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:
{
"mcpServers": {
"elysiatools-dosing-interval-designer": {
"name": "dosing-interval-designer",
"description": "Design the dosing interval τ from the steady-state peak/trough concentration ratio. For one-compartment linear kinetics at steady state, the peak-to-trough ratio over one interval is P = Cmax,ss / Cmin,ss = e^(kτ) where k = ln2 / t½. Mode A: given a target peak/trough ratio, solve for the dosing interval τ = ln(P) · t½ / ln2. Mode B: given a chosen interval τ, compute the resulting peak/trough ratio P = e^(kτ). Note: P reflects fluctuation WITHIN one interval and is NOT the accumulation index (R = 1/(1-e^(-kτ))). Valid only for linear one-compartment kinetics, steady state, fixed dose and interval. Not medical advice.",
"baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=dosing-interval-designer",
"command": "",
"args": [],
"env": {},
"isActive": true,
"type": "sse"
}
}
}List available tools
After connecting to the SSE endpoint, list the exposed tools:
{
"jsonrpc": "2.0",
"id": 1,
"method": "tools/list"
}Call this tool
Invoke the tool by its id, passing arguments built from its parameters:
{
"jsonrpc": "2.0",
"id": 2,
"method": "tools/call",
"params": {
"name": "dosing-interval-designer",
"arguments": {
"mode": "ratio-to-tau",
"halfLife": 6,
"ratio": 4,
"interval": 0,
"decimalPlaces": 4
}
}
}