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Math & Numbers

半衰期计算器

放射性同位素与药物的指数衰减计算:由半衰期、初始量与时间求剩余量,或反推半衰期、所需时间、稳态蓄积。N(t) = N0·e^(-λt)。

json· JSON 结果打开工具

快速开始

用三种语言从你的代码中调用此工具。

cURL
curl -X POST 'https://api.elysiatools.com/zh/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}'

API 参考

以 JSON 形式 POST 提交输入参数。文件类型参数需先单独上传。

请求端点

HTTP
POST https://api.elysiatools.com/zh/api/tools/half-life-calculator

请求参数

参数名类型必填说明
modeselect否—
halfLifenumber否Half-life in the selected time unit. Required for remaining/time/dose modes.
n0number否Initial quantity (mass, activity, count, dose…). Required for remaining/half-life modes.
ntnumber否Measured remaining quantity. Required for half-life/time modes.
timenumber否Elapsed time in the selected unit. Required for remaining/half-life modes.

MCP 集成

将此工具加入你的 Model Context Protocol 服务,让 AI 智能体可以列出并调用它。

服务配置

将以下内容加入你的 MCP 客户端配置:

mcp.json
{
  "mcpServers": {
    "elysiatools-half-life-calculator": {
      "name": "half-life-calculator",
      "description": "放射性同位素与药物的指数衰减计算:由半衰期、初始量与时间求剩余量,或反推半衰期、所需时间、稳态蓄积。N(t) = N0·e^(-λt)。",
      "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=half-life-calculator",
      "command": "",
      "args": [],
      "env": {},
      "isActive": true,
      "type": "sse"
    }
  }
}

列出可用工具

连接到 SSE 端点后,列出已开放的工具:

tools/list
{
  "jsonrpc": "2.0",
  "id": 1,
  "method": "tools/list"
}

调用此工具

通过工具 id 调用,参数由其参数表构建:

tools/call
{
  "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
}
  }
}
可用逗号分隔的 toolId 在一个会话中串联多个工具,例如 /mcp/sse?toolId=png-to-webp,jpg-to-webp,gif-to-webp(最多 20 个)。

有问题或反馈?请联系 [email protected]

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percentRemainingnumber否Alternative to N(t) in time mode: target percentage of N0 still present.
timeUnitselect否—
singleDosenumber否Amount of drug administered at each dose.
dosingIntervalnumber否Time between consecutive doses, in the selected time unit.
decimalPlacesnumber否—

响应格式

JSON 结果

JSON
{
  "key": {...},
  "metadata": {
    "key": "value"
  },
  "error": "Error message (optional)",
  "message": "Notification message (optional)"
}