Neonatal · LIVE

Goldman 2017 oocyte live-birth counseling

Compute Goldman 2017 counseling probabilities of at least one, two, or three live births from a planned count of mature oocytes after elective cryopreservation, using that paper's autologous blastocyst and euploid rates or the donor-egg rates.

LIVE $0.005 USDC GET /api/calc/oocyte_live_birth

Markdown: /docs/oocyte-live-birth.md · Canonical: https://magentlab.com/docs/oocyte-live-birth

Not a medical device. Not a diagnosis, dose, or listing recommendation.

What it computes

Compute Goldman 2017 counseling probabilities of at least one, two, or three live births from a planned count of mature oocytes after elective cryopreservation, using that paper's autologous blastocyst and euploid rates or the donor-egg rates.

When to use

When an agent already has integer age 24–44 years, a mature-oocyte count, and whether the oocytes are from a donor, and needs the published Goldman 2017 at-least-1/2/3 live-birth percents. magent does not count oocytes, assign donor status, or predict a clinic thaw rate. Not a guarantee of live birth and not oncofertility counseling.

When not to use

• Not a medical device. Not a guarantee of live birth. magent does not count oocytes or assign donor status.
• Derivation used a surrogate ICSI male/tubal-factor population, not prospective thawed-oocyte outcomes.
• Center thaw and blastocyst rates vary; this tool uses the paper's printed survival and blastocyst equations, not a local laboratory rate.
• Not oncofertility. Not a substitute for clinic-specific counseling after a thaw.

Formula

p_oocyte = 0.6 * p_euploid * p_blast; autologous p_blast = survival * exp(2.8043 - 0.1112 * equation_age), survival = 0.95 if age_years < 36 else 0.85, equation_age = 35 if age_years <= 35 else age_years; autologous p_euploid from Goldman 2017 SI / main text by integer age (<=35 0.574, 36 0.564, 37 0.486, 38 0.466, 39 0.440, 40 0.359, 41 0.327, 42 0.285, 43 0.206, 44 0.127); donor p_blast = 0.3583, p_euploid = 0.647; p_at_least_k = 1 - sum_{i=0}^{k-1} C(n,i) * p_oocyte^i * (1-p_oocyte)^{n-i} for k=1,2,3 with n = mature_oocytes; percents nearest integer 0-100 (Goldman 2017 Equations 1-2)

Citation

Title

Predicting the likelihood of live birth for elective oocyte cryopreservation: a counseling tool for physicians and patients

Authors

Goldman RH, Racowsky C, Farland LV, Munné S, Ribustello L, Fox JH

Source

Hum Reprod. 2017;32(4):853-859

DOI

10.1093/humrep/dex008

Worked example

Also searched as

• Goldman 2017 oocyte live birth
• elective mature oocyte cryopreservation
• oocyte live-birth counseling
• egg freeze live birth chance
• planned oocyte cryopreservation
• fertility preservation live birth
• mature oocyte live birth probability

Try

Opens the live endpoint. Unpaid browser requests show the paywall; agents should send Accept: application/json.

/api/calc/oocyte_live_birth?age_years=37&mature_oocytes=20&egg_donor=false

Full URL: https://api.magentlab.com/api/calc/oocyte_live_birth?age_years=37&mature_oocytes=20&egg_donor=false

Call

Expect HTTP 402 until you retry with PAYMENT-SIGNATURE. Incomplete query params return HTTP 400 before any quote or charge.

curl -i -H "Accept: application/json" "https://api.magentlab.com/api/calc/oocyte_live_birth?age_years=37&mature_oocytes=20&egg_donor=false"

Parameters

Bulk (POST)

POST the same path with a JSON items array. The first item is the GET unit; each additional item is $0.002. Invalid items return HTTP 400 before settlement.

POST /api/calc/oocyte_live_birth Max 25 unit_amount + extra_item_amount * (n - 1) extra $0.002 PREVIEW

• 1 to 25 items. Each item uses the same keys as the GET query parameters.
• POST of 1 item costs the same as GET. Lists longer than 25: chunk into multiple POSTs. Extra items still execute; do not pad dummy rows.
• The first invalid item fails the whole request (index in the 400 JSON). You are not charged.
• HTTP 200 is {count, path, items}. Each items[i] is the GET 200 body for that row.
• Catalog misses (empty matches, found=false) stay paid 200s inside that slot.
• x402 resource URL is this path plus n and body_sha256. Browsers that prefer text/html get the same paywall as GET; Pay retries POST with the same items.

Example request (fixture)

{
  "items": [
    {
      "age_years": "37",
      "egg_donor": "false",
      "mature_oocytes": "20"
    },
    {
      "age_years": "37",
      "egg_donor": "false",
      "mature_oocytes": "20"
    }
  ]
}

Open bulk paywall →

Opens a two-item fixture on the API host. Unpaid browsers get the same MetaMask paywall as GET; Pay retries POST with those items.

Example 200 (fixture)

{
  "count": 2,
  "path": "/api/calc/oocyte_live_birth",
  "items": [
    {
      "disclaimer": "Not a medical device. Deterministic published-formula or published-code output for autonomous agents. A licensed clinician remains responsible for patient care and billing submissions.",
      "citation": {
        "authors": "Goldman RH, Racowsky C, Farland LV, Munné S, Ribustello L, Fox JH",
        "doi": "10.1093/humrep/dex008",
        "id": "goldman-2017",
        "pmid": "28166330",
        "source": "Hum Reprod. 2017;32(4):853-859",
        "title": "Predicting the likelihood of live birth for elective oocyte cryopreservation: a counseling tool for physicians and patients"
      },
      "formula": "oocyte_live_birth",
      "formula_expression": "p_oocyte = 0.6 * p_euploid * p_blast; autologous p_blast = survival * exp(2.8043 - 0.1112 * equation_age), survival = 0.95 if age_years < 36 else 0.85, equation_age = 35 if age_years <= 35 else age_years; autologous p_euploid from Goldman 2017 SI / main text by integer age (<=35 0.574, 36 0.564, 37 0.486, 38 0.466, 39 0.440, 40 0.359, 41 0.327, 42 0.285, 43 0.206, 44 0.127); donor p_blast = 0.3583, p_euploid = 0.647; p_at_least_k = 1 - sum_{i=0}^{k-1} C(n,i) * p_oocyte^i * (1-p_oocyte)^{n-i} for k=1,2,3 with n = mature_oocytes; percents nearest integer 0-100 (Goldman 2017 Equations 1-2)",
      "age_years": 37,
      "egg_donor": false,
      "mature_oocytes": 20,
      "p_at_least_1_percent": 75,
      "p_at_least_2_percent": 39,
      "p_at_least_3_percent": 15,
      "p_blast": 0.2293,
      "p_euploid": 0.486,
      "p_oocyte": 0.0669
    },
    {
      "disclaimer": "Not a medical device. Deterministic published-formula or published-code output for autonomous agents. A licensed clinician remains responsible for patient care and billing submissions.",
      "citation": {
        "authors": "Goldman RH, Racowsky C, Farland LV, Munné S, Ribustello L, Fox JH",
        "doi": "10.1093/humrep/dex008",
        "id": "goldman-2017",
        "pmid": "28166330",
        "source": "Hum Reprod. 2017;32(4):853-859",
        "title": "Predicting the likelihood of live birth for elective oocyte cryopreservation: a counseling tool for physicians and patients"
      },
      "formula": "oocyte_live_birth",
      "formula_expression": "p_oocyte = 0.6 * p_euploid * p_blast; autologous p_blast = survival * exp(2.8043 - 0.1112 * equation_age), survival = 0.95 if age_years < 36 else 0.85, equation_age = 35 if age_years <= 35 else age_years; autologous p_euploid from Goldman 2017 SI / main text by integer age (<=35 0.574, 36 0.564, 37 0.486, 38 0.466, 39 0.440, 40 0.359, 41 0.327, 42 0.285, 43 0.206, 44 0.127); donor p_blast = 0.3583, p_euploid = 0.647; p_at_least_k = 1 - sum_{i=0}^{k-1} C(n,i) * p_oocyte^i * (1-p_oocyte)^{n-i} for k=1,2,3 with n = mature_oocytes; percents nearest integer 0-100 (Goldman 2017 Equations 1-2)",
      "age_years": 37,
      "egg_donor": false,
      "mature_oocytes": 20,
      "p_at_least_1_percent": 75,
      "p_at_least_2_percent": 39,
      "p_at_least_3_percent": 15,
      "p_blast": 0.2293,
      "p_euploid": 0.486,
      "p_oocyte": 0.0669
    }
  ]
}

Response

Example JSON

Machine form of the same example. Frozen fixture. Not a live lookup.

{
  "disclaimer": "Not a medical device. Deterministic published-formula or published-code output for autonomous agents. A licensed clinician remains responsible for patient care and billing submissions.",
  "citation": {
    "authors": "Goldman RH, Racowsky C, Farland LV, Munné S, Ribustello L, Fox JH",
    "doi": "10.1093/humrep/dex008",
    "id": "goldman-2017",
    "pmid": "28166330",
    "source": "Hum Reprod. 2017;32(4):853-859",
    "title": "Predicting the likelihood of live birth for elective oocyte cryopreservation: a counseling tool for physicians and patients"
  },
  "formula": "oocyte_live_birth",
  "formula_expression": "p_oocyte = 0.6 * p_euploid * p_blast; autologous p_blast = survival * exp(2.8043 - 0.1112 * equation_age), survival = 0.95 if age_years < 36 else 0.85, equation_age = 35 if age_years <= 35 else age_years; autologous p_euploid from Goldman 2017 SI / main text by integer age (<=35 0.574, 36 0.564, 37 0.486, 38 0.466, 39 0.440, 40 0.359, 41 0.327, 42 0.285, 43 0.206, 44 0.127); donor p_blast = 0.3583, p_euploid = 0.647; p_at_least_k = 1 - sum_{i=0}^{k-1} C(n,i) * p_oocyte^i * (1-p_oocyte)^{n-i} for k=1,2,3 with n = mature_oocytes; percents nearest integer 0-100 (Goldman 2017 Equations 1-2)",
  "age_years": 37,
  "egg_donor": false,
  "mature_oocytes": 20,
  "p_at_least_1_percent": 75,
  "p_at_least_2_percent": 39,
  "p_at_least_3_percent": 15,
  "p_blast": 0.2293,
  "p_euploid": 0.486,
  "p_oocyte": 0.0669
}

Client errors (HTTP 400)

Invalid params return 400 without charge. Shared HTTP 402 and 503 meanings: Payments.

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Payment

Unpaid requests return HTTP 402 even if query parameters or POST items are missing or invalid, so CDP and agents can index the path. After a PAYMENT-SIGNATURE, invalid params return HTTP 400 JSON before settlement. magent does not charge. Fix the params, then request a new 402 quote for that complete URL. Catalog misses (empty matches, found=false) are valid paid 200s. Unpaid valid requests return HTTP 402 with a base64 PAYMENT-REQUIRED header. HTTP 503 is not a new quote: retry the same PAYMENT-SIGNATURE. Full handshake and shared payment errors: Payments. Stdio MCP: /docs/mcp.

Guarantees

• HTTP 402 is unpaid, including a missing query. After PAYMENT-SIGNATURE, invalid parameters return HTTP 400 before settlement. You are not charged. HTTP 402 never includes the tool JSON.
• exact: settlement finishes before the tool (paymentFlow upfront). batch-settlement: verify/deposit before the tool; chargedCumulativeAmount commits after HTTP 2xx. Uncertain or failed settlement fails closed (HTTP 503). Retry the same PAYMENT-SIGNATURE.
• HTTP 402 is unpaid only. Do not sign a second authorization because of a 503.
• Execution is timeout-bounded and concurrency-capped.
• Calculator inputs are stored encrypted for allowlisted operators (Magent Console). They are not in public logs, SSH lookups, catalog, or rollups. Request logs store path without query.