# Tissue Scaffold Fluid Permeability Calculator

> Tissue Scaffold Fluid Permeability Calculator is a paid API for AI agents from bio.halowerk.com, paid per call via x402, $0.003/call, status unknown (last checked 2026-09-14).

Computes fluid permeability and flow rate through a porous tissue scaffold using the Kozeny-Carman relation and Darcy's law given porosity, pore diameter, thickness, viscosity, and pressure drop.

## Facts

- Endpoint: POST https://bio.halowerk.com/v1/tissue-scaffold
- Price: $0.003/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-14
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/tissue-scaffold-fluid-permeability-calculator-40f6e735
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_cvabj5dDmfYcKjdZo1YLR

Status and success rate cover calls made through Zero and Zero's own probes. Third-party monitors may report differently.

## How to call it through Zero

Zero handles the 402 payment challenge and records the run. With the Zero CLI installed (`npm i -g @zeroxyz/cli`):

```sh
zero fetch --capability tissue-scaffold-fluid-permeability-calculator-40f6e735 -d '<json body>'
```

Example prompt: Calculate the fluid permeability and Darcy flow rate through a tissue scaffold with 65% porosity, 50 µm mean pore diameter, 3 mm thickness, water viscosity of 0.001 Pa·s, a pressure drop of 1000 Pa, and a Kozeny constant of 5.

## When to prefer this

Choose this endpoint when you need a fast, deterministic analytical calculation of fluid permeability and Darcy flow through a homogeneous porous scaffold using the Kozeny-Carman + Darcy framework. Prefer it over finite-element or CFD tools when you have idealized scaffold parameters (porosity, mean pore size) and need a quick engineering estimate without cell biology, biocompatibility, or structural validation.

## Known failure modes

- Porosity fraction outside 0.01–0.99 range returns validation error
- Pressure drop or viscosity at extreme bounds may yield physically unrealistic results
- Non-positive or zero pore diameter or thickness triggers schema rejection
- Missing required fields return 400-level error
- Kozeny constant outside 1–10000 range is rejected

## How this service works

Uses the Kozeny-Carman relation with supplied porosity and pore diameter, then applies Darcy’s law with supplied thickness, viscosity and pressure drop. It is an idealized homogeneous porous-medium calculation, not scaffold design validation, cell-transport modeling, biocompatibility assessment or medical guidance.

## Output

Returns the computed intrinsic permeability (m²) derived from the Kozeny-Carman relation using the supplied porosity and pore diameter, along with the Darcy flux (m/s) and volumetric flow rate per unit area, calculated from the permeability, scaffold thickness, fluid viscosity, and applied pressure drop. Results are based on an idealized homogeneous porous-medium model.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "properties": {
  "kozeny_constant": {
   "type": "number",
   "maximum": 10000,
   "minimum": 1
  },
  "pressure_drop_pa": {
   "type": "number",
   "maximum": 1000000000000,
   "minimum": -1000000000000
  },
  "porosity_fraction": {
   "type": "number",
   "maximum": 0.99,
   "minimum": 0.01
  },
  "mean_pore_diameter_um": {
   "type": "number",
   "maximum": 1000000,
   "minimum": 0.001
  },
  "scaffold_thickness_mm": {
   "type": "number",
   "maximum": 1000000,
   "minimum": 0.001
  },
  "fluid_dynamic_viscosity_pa_s": {
   "type": "number",
   "maximum": 1000000,
   "minimum": 1e-9
  }
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/tissue-scaffold-fluid-permeability-calculator-40f6e735/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from bio.halowerk.com](https://www.zero.xyz/host/bio.halowerk.com/llms.txt)