External PI Reference Audit

Generated: external_pi_reference_audit_20260505_205248

Purpose: independent reference audit using synthetic complex coil sensitivity maps. This does not replace the Coil-Compare pipeline and is not clinical validation.

Main question: Does a Mammaria_18-like synthetic complex sensitivity set outperform a BI_7-like set for H-F/y acceleration when the sensitivity variation is modeled explicitly?

g p95 summary

ArrayConditionChannelsLocal g p95PyGRAPPA g p95RMS diffPyGRAPPA error
BI_7_like_broad_7chHF_y_R271.2481.3520.1329
BI_7_like_broad_7chHF_y_R372.8854.0251.451
BI_7_like_broad_7chRL_x_R271.5821.2180.2612
BI_7_like_broad_7chRL_x_R371e+062.31e+06
Mammaria_18_like_vertical_18chHF_y_R2181.0031.0460.01982
Mammaria_18_like_vertical_18chHF_y_R3181.1181.5480.3576
Mammaria_18_like_vertical_18chRL_x_R2181.3041.0010.1297
Mammaria_18_like_vertical_18chRL_x_R3181e+061.0411e+06
Mammaria_18_like_magnitude_onlyHF_y_R2181.0041.3130.1334
Mammaria_18_like_magnitude_onlyHF_y_R3181.1471.0040.4403
Mammaria_18_like_magnitude_onlyRL_x_R2181.3131.0040.1334
Mammaria_18_like_magnitude_onlyRL_x_R3181e+061.1471e+06

Formula assertions

CaseExpectedObservedPass
orthogonal_two_channel_R2g near 11.0True
identical_two_channel_R2rank deficient high capped g1000000.0True
global_scale_invarianceglobal sensitivity scale should not change g7.310578359934718e-17True

Plots

Tool status

{
  "assertions": [
    {
      "case": "orthogonal_two_channel_R2",
      "expected": "g near 1",
      "local_g_p95": 1.0,
      "pass": true
    },
    {
      "case": "identical_two_channel_R2",
      "expected": "rank deficient high capped g",
      "local_g_p95": 1000000.0,
      "pass": true
    },
    {
      "case": "global_scale_invariance",
      "expected": "global sensitivity scale should not change g",
      "pass": true,
      "rmsdiff": 7.310578359934718e-17
    }
  ],
  "bart_status": {
    "available": true,
    "returncode": 0,
    "stderr": "",
    "stdout": "v0.9.00"
  },
  "interpretation": [
    "If Mammaria_18_like beats BI_7_like under synthetic complex H-F maps, external tools agree with the intuition that richer H-F sensitivity can improve g-factor.",
    "If the live STEP model still favors BI_7, the issue is the STEP-derived sensitivity surrogate, not the SENSE/g-factor arithmetic alone.",
    "PyGRAPPA and local formula need not match pixel-perfectly, but trends should be interpretable."
  ],
  "purpose": "External PI reference audit using synthetic complex sensitivity maps.",
  "sigpy_status": {
    "available": true,
    "note": "Imported SigPy SenseRecon/EspiritCalib. Full reference recon requires synthetic or measured k-space plus sensitivity maps."
  }
}

Files