calculator

Calculate order-of-magnitude oxygen demand and membrane area for bioreactor feasibility.

6|Updated Feb 3, 2026

Search Tags:#feasibility #modeling #calculation #back-of-envelope #bioreactor #mass-transfer #oxygen

Ready to run

npx skills add https://github.com/dangeles/claude --skill calculator-dangeles

💬 Prompt for ChatGPT / Claude Chat▼

Please help me install this Agent Skill.
Skill: calculator
Source: https://github.com/dangeles/claude/tree/main/claude-config/skills/calculator
Command: npx skills add https://github.com/dangeles/claude --skill calculator-dangeles

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

The Calculator skill provides rapid, back-of-envelope feasibility checks and structured quantitative modeling to validate design assumptions and identify limiting factors.

Core Features & Use Cases

Back-of-envelope estimates: Quickly assess order-of-magnitude feasibility.
Parametric modeling: Build simple models with transparent assumptions and sensitivity analyses.
Decision support: Help decide whether to push for a detailed model or pivot design.

Quick Start

Provide a back-of-envelope feasibility check for a specified scenario by supplying: total cells, per-cell OCR, diffusion coefficient, and geometry; the AI should output order-of-magnitude oxygen demand and the required membrane area with a brief feasibility verdict.

Frequently Asked Questions about calculator

High-intent search queries and answers about installing and using this skill.

FAQPage Schema

How do I calculate oxygen demand for a bioreactor feasibility check?▼

To calculate oxygen demand for a bioreactor feasibility check, input the total cell count and per-cell oxygen consumption rate (OCR). The tool outputs an order-of-magnitude O2 demand estimate to validate if your design assumptions meet baseline metabolic requirements.

What inputs are needed for a back-of-envelope bioreactor mass transfer calculation?▼

Back-of-envelope bioreactor mass transfer calculations require total cells, per-cell OCR, diffusion coefficients, and geometric parameters. Providing these inputs yields the required membrane area and a concise feasibility verdict for rapid design assessments.

When should I use a back-of-envelope calculation instead of a detailed bioreactor model?▼

Use a back-of-envelope calculation for rapid bioreactor design assessments when quick guidance is needed and a detailed model is unavailable. It helps identify limiting factors like oxygen delivery and decide whether to push for a detailed model or pivot the design.

Can I assess bioreactor membrane area requirements using a simple parametric model?▼

Yes, you can assess membrane area requirements by supplying geometric parameters and diffusion coefficients to the parametric model. It applies transparent assumptions to output the required membrane area and an order-of-magnitude oxygen delivery feasibility verdict.

Does this bioreactor feasibility calculator support sensitivity analysis for oxygen delivery?▼

Yes, the calculator supports sensitivity analysis for oxygen delivery by building simple models with transparent assumptions. This structured quantitative modeling helps validate design parameters and identify limiting mass transfer factors.

What are the limitations of using order-of-magnitude estimates for bioreactor design?▼

Order-of-magnitude estimates for bioreactor design are limited to rapid feasibility checks and identifying limiting factors early. They provide quick guidance on oxygen demand and mass transfer but do not replace the rigorous validation of a detailed model.