# Fixed-Bed Axial Dispersion Kinetic Langmuir Breakthrough & Inventory Transcript

> Fixed-Bed Axial Dispersion Kinetic Langmuir Breakthrough & Inventory Transcript is a paid API for AI agents from detect.halowerk.com, paid per call via x402, $0.003/call, status unknown (last checked 2026-11-04).

Simulates a fixed-bed chromatography column using axial dispersion and Langmuir kinetics, returning breakthrough curves and inventory ledger data for specified time steps.

## Facts

- Endpoint: POST https://detect.halowerk.com/v1/F-TD2000-GEO-INDUSTRY-B011/fixed-bed-axial-dispersion-kinetic-langmuir-breakthrough-inventory-transcript?utm_source=zero.xyz
- Price: $0.003/call
- Payment: x402
- Status: unknown
- Last checked: 2026-11-04
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/fixed-bed-axial-dispersion-kinetic-langmuir-breakthrough-inventory-7d641ef4
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_w_WiGTvgrnJcT-3urSgi1

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 fixed-bed-axial-dispersion-kinetic-langmuir-breakthrough-inventory-7d641ef4 -d '<json body>'
```

Example prompt: Simulate a fixed-bed chromatography column with porosity 0.4, interstitial velocity 0.5, dispersion 0.01, adsorption rate 1.2, desorption rate 0.3, Langmuir capacity 5.0, cell spacing 0.5, and a timestep of 0.001; use initial mobile concentrations [0,0,0] and bound concentrations [0,0,0], step the inlet concentration to 2.0 for 100 steps, and sample the breakthrough and inventory at steps 25, 50, 75, and 100.

## When to prefer this

Choose this endpoint when you need to simulate or verify fixed-bed chromatography column behavior using the axial dispersion model with Langmuir adsorption kinetics — specifically when you need breakthrough curves and column inventory at discrete time points. Prefer this over generic ODE solvers when you need the coupled transport-uptake formulation with built-in kinetic Langmuir isotherm and axial dispersion, or when you need to reconcile a claimed column artifact against simulation results.

## Known failure modes

- Invalid porosity outside [0.1, 0.9] returns validation error
- Timestep outside [0.0001, 0.1] rejected with schema error
- sample_steps array exceeds 4 entries returns bad request
- inlet_per_step length mismatched to step count causes processing error
- Langmuir capacity or rate constants at boundary extremes may cause numerical instability
- Missing required fields in chromatography.data returns 400 schema validation error
- Claim field mismatch against computed simulation may return reconciliation failure

## How this service works

Recover a complete coupled transport-and-uptake column artifact and its breakthrough/inventory ledger.

## Output

Returns the complete reconstructed coupled transport-and-uptake column artifact — including breakthrough concentration profiles at the column outlet and an inventory ledger recording total solute masses in mobile and bound phases — evaluated at the requested sample time steps.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "properties": {
  "artifact": {
   "type": "object",
   "required": [
    "chromatography"
   ],
   "properties": {
    "chromatography": {
     "type": "object",
     "required": [
      "data",
      "claim"
     ],
     "properties": {
      "data": {
       "type": "object",
       "required": [
        "initial_mobile_concentrations",
        "initial_bound_concentrations",
        "porosity",
        "velocity",
        "dispersion",
        "adsorption_rate",
        "desorption_rate",
        "capacity",
        "cell_spacing",
        "timestep",
        "inlet_per_step",
        "sample_steps"
       ],
       "properties": {
        "capacity": {
         "type": "number",
         "maximum": 10,
         "minimum": 0.01
        },
        "porosity": {
         "type": "number",
         "maximum": 0.9,
         "minimum": 0.1
        },
        "timestep": {
         "type": "number",
         "maximum": 0.1,
         "minimum": 0.0001
        },
        "velocity": {
         "type": "number",
         "maximum": 10,
         "minimum": 0.001
        },
        "dispersion": {
         "type": "number",
         "maximum": 1,
         "minimum": 0
        },
        "cell_spacing": {
         "type": "number",
         "maximum": 10,
         "minimum": 0.1
        },
        "sample_steps": {
         "type": "array",
         "items": {
          "type": "integer",
          "maximum": 128,
          "minimum": 0
         },
         "maxItems": 4,
         "minItems": 1
        },
        "inlet_per_step": {
         "type": "array",
         "items": {
          "type": "number",
          "maximum": 10,
          "minimum": 0
         },
         "maxItems": 128,
         "minItems": 1
        },
        "adsorption_rate": {
         "type": "number",
         "maximum": 10,
         "minimum": 0.001
        },
        "desorption_rate": {
         "type": "number",
         "maximum": 10,
         "minimum": 0.001
        },
        "initial_bound_concentrations": {
         "type": "array",
         "items": {
          "type": "number",
          "maximum": 10,
          "minimum": 0
         },
         "maxItems": 16,
         "minItems": 3
        },
        "initial_mobile_concentrations": {
         "type": "array",
         "items": {
          "type": "number",
          "maximum": 10,
          "minimum": 0
         },
         "maxItems": 16,
         "minItems": 3
        }
       },
       "additionalP
… (truncated)
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/fixed-bed-axial-dispersion-kinetic-langmuir-breakthrough-inventory-7d641ef4/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from detect.halowerk.com](https://www.zero.xyz/host/detect.halowerk.com/llms.txt)