# Mumtaz readmission score Mumtaz Status: LIVE Price: $0.005 USDC `GET /api/calc/mumtaz` HTML: https://magentlab.com/docs/mumtaz Markdown: https://magentlab.com/docs/mumtaz.md Not a medical device. Not a diagnosis, dose, or listing recommendation. ## What it computes Sum Mumtaz 2019 index-admission integer points and return the published predicted 30-day all-cause readmission percent and low/medium/high band. ## When to use When an agent has already assigned Mumtaz 2019 index-admission variables (including a caller-assigned Elixhauser ≥3 flag) and needs the published integer score and 30-day readmission band, not a discharge order, Child-Pugh class, or MELD. ## When not to use - Not a medical device and not a discharge, transfer, home-health, or against-medical-advice order. - elixhauser_ge_3 is caller-assigned. magent does not compute the Elixhauser comorbidity index. - Integer points and predicted 30-day all-cause readmission percents follow Mumtaz 2019. Bands are low <20% (score -11 to 6), medium 20-30% (score 7 to 17), and high >30% (score 18 to 49). Not a clinical-severity class. - This is not Child-Pugh and not MELD. There are no laboratories in this score. - Derived on the Nationwide Readmission Database (administrative codes) for decompensated cirrhosis at index discharge. Do not use for age <18, mechanical ventilation, palliative care, prior liver transplant, or elective admission (derivation exclusions). ## Formula ``` Mumtaz = age_points + primary_payer_points + elixhauser_ge_3(2) + non_alcoholic_etiology(2) + ascites(5) + hepatic_encephalopathy(4) + variceal_bleeding(-7) + hepatocellular_carcinoma(3) + paracentesis(4) + hemodialysis(7) + disposition_points; Mumtaz 2019; age 18-39 7, 40-64 4, >=65 0; medicare 4, medicaid 5, private 0, self_pay -3, other -1; disposition routine 0, transfer -1, home_health 1, ama 10; range -11 to 49; estimated_readmission_percent is the published score-to-probability mapping; readmission_band low <20% (score -11 to 6), medium 20-30% (7 to 17), high >30% (18 to 49) ``` ## Citation [Validation of Risk Score in Predicting Early Readmissions in Decompensated Cirrhotic Patients: A Model Based on the Administrative Database](https://doi.org/10.1002/hep.30274) Mumtaz K, Issak A, Porter K, et al. Hepatology. 2019;70(2):630-639 DOI: [10.1002/hep.30274](https://doi.org/10.1002/hep.30274) ## Worked example ### Age 70, private payer, no flags, routine discharge Given: `age=70, ascites=false, disposition=routine, elixhauser_ge_3=false, hemodialysis=false, hepatic_encephalopathy=false, hepatocellular_carcinoma=false, non_alcoholic_etiology=false, paracentesis=false, primary_payer=private, variceal_bleeding=false` 1. age ≥65 → 0; private → 0; all flags false → 0; routine → 0 2. score = 0 (range -11 to 49) 3. estimated_readmission_percent = 15.1; readmission_band low (<20%) ### Age 30, Medicaid, ascites, encephalopathy, paracentesis Given: `age=30, ascites=true, disposition=routine, elixhauser_ge_3=false, hemodialysis=false, hepatic_encephalopathy=true, hepatocellular_carcinoma=false, non_alcoholic_etiology=false, paracentesis=true, primary_payer=medicaid, variceal_bleeding=false` 1. age 18-39 → +7; medicaid → +5; ascites → +5; hepatic_encephalopathy → +4; paracentesis → +4 2. score = 25 3. estimated_readmission_percent = 38.3; readmission_band high (>30%) ## Also searched as - Mumtaz readmission risk score - Mumtaz 2019 cirrhosis readmission - decompensated cirrhosis 30-day readmission - NRD cirrhosis readmission score - cirrhosis early readmission score - administrative cirrhosis readmission model ## Parameters - `age` (integer, required): Age in years (18-120). Mumtaz 2019: 18-39 → +7; 40-64 → +4; ≥65 → 0. Adult derivation. - `primary_payer` (string, required): Primary payer (Mumtaz 2019). medicare → +4; medicaid → +5; private → 0; self_pay → -3; other → -1. Caller-assigned; magent does not read insurance. - `elixhauser_ge_3` (boolean, required): Caller-assigned Elixhauser comorbidity index ≥3 (Mumtaz 2019). true → +2; false → 0. magent does not compute Elixhauser. - `non_alcoholic_etiology` (boolean, required): Caller-assigned nonalcoholic etiology of cirrhosis (Mumtaz 2019). true → +2; false → 0. magent does not assign etiology. - `ascites` (boolean, required): Caller-assigned ascites on the index admission (Mumtaz 2019). true → +5; false → 0. magent does not examine the patient. - `hepatic_encephalopathy` (boolean, required): Caller-assigned hepatic encephalopathy on the index admission (Mumtaz 2019). true → +4; false → 0. magent does not grade encephalopathy. - `variceal_bleeding` (boolean, required): Caller-assigned variceal bleeding on the index admission (Mumtaz 2019). true → -7; false → 0. magent does not diagnose bleeding. - `hepatocellular_carcinoma` (boolean, required): Caller-assigned hepatocellular carcinoma (Mumtaz 2019). true → +3; false → 0. magent does not read imaging. - `paracentesis` (boolean, required): Caller-assigned paracentesis during the index admission (Mumtaz 2019). true → +4; false → 0. magent does not record procedures. - `hemodialysis` (boolean, required): Caller-assigned hemodialysis during the index admission (Mumtaz 2019). true → +7; false → 0. magent does not order dialysis. - `disposition` (string, required): Discharge disposition (Mumtaz 2019). routine → 0; transfer → -1; home_health → +1; ama → +10. Caller-assigned; not a discharge order. ## 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. Method: `POST /api/calc/mumtaz` Max items: 25 Price: unit_amount + extra_item_amount * (n - 1) (unit 5000 atomic, extra 2000 atomic) Status: 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: ```json { "items": [ { "age": "70", "ascites": "false", "disposition": "routine", "elixhauser_ge_3": "false", "hemodialysis": "false", "hepatic_encephalopathy": "false", "hepatocellular_carcinoma": "false", "non_alcoholic_etiology": "false", "paracentesis": "false", "primary_payer": "private", "variceal_bleeding": "false" }, { "age": "70", "ascites": "false", "disposition": "routine", "elixhauser_ge_3": "false", "hemodialysis": "false", "hepatic_encephalopathy": "false", "hepatocellular_carcinoma": "false", "non_alcoholic_etiology": "false", "paracentesis": "false", "primary_payer": "private", "variceal_bleeding": "false" } ] } ``` Human paywall (two-item fixture): https://api.magentlab.com/paywall/bulk/mumtaz Example 200: ```json { "count": 2, "path": "/api/calc/mumtaz", "items": [ { "components": [ { "value": 70, "factor": "age", "points": 0, "present": true }, { "value": "private", "factor": "primary_payer", "points": 0, "present": true }, { "factor": "elixhauser_ge_3", "points": 0, "present": false }, { "factor": "non_alcoholic_etiology", "points": 0, "present": false }, { "factor": "ascites", "points": 0, "present": false }, { "factor": "hepatic_encephalopathy", "points": 0, "present": false }, { "factor": "variceal_bleeding", "points": 0, "present": false }, { "factor": "hepatocellular_carcinoma", "points": 0, "present": false }, { "factor": "paracentesis", "points": 0, "present": false }, { "factor": "hemodialysis", "points": 0, "present": false }, { "value": "routine", "factor": "disposition", "points": 0, "present": true } ], "disposition": "routine", "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": "Mumtaz K, Issak A, Porter K, et al.", "doi": "10.1002/hep.30274", "id": "mumtaz-2019", "pmid": "30218583", "source": "Hepatology. 2019;70(2):630-639", "title": "Validation of Risk Score in Predicting Early Readmissions in Decompensated Cirrhotic Patients: A Model Based on the Administrative Database" }, "formula": "mumtaz", "formula_expression": "Mumtaz = age_points + primary_payer_points + elixhauser_ge_3(2) + non_alcoholic_etiology(2) + ascites(5) + hepatic_encephalopathy(4) + variceal_bleeding(-7) + hepatocellular_carcinoma(3) + paracentesis(4) + hemodialysis(7) + disposition_points; Mumtaz 2019; age 18-39 7, 40-64 4, >=65 0; medicare 4, medicaid 5, private 0, self_pay -3, other -1; disposition routine 0, transfer -1, home_health 1, ama 10; range -11 to 49; estimated_readmission_percent is the published score-to-probability mapping; readmission_band low <20% (score -11 to 6), medium 20-30% (7 to 17), high >30% (18 to 49)", "age_years": 70, "max_score": 49, "score": 0, "min_score": -11, "estimated_readmission_percent": 15.1, "primary_payer": "private", "readmission_band": "low" }, { "components": [ { "value": 70, "factor": "age", "points": 0, "present": true }, { "value": "private", "factor": "primary_payer", "points": 0, "present": true }, { "factor": "elixhauser_ge_3", "points": 0, "present": false }, { "factor": "non_alcoholic_etiology", "points": 0, "present": false }, { "factor": "ascites", "points": 0, "present": false }, { "factor": "hepatic_encephalopathy", "points": 0, "present": false }, { "factor": "variceal_bleeding", "points": 0, "present": false }, { "factor": "hepatocellular_carcinoma", "points": 0, "present": false }, { "factor": "paracentesis", "points": 0, "present": false }, { "factor": "hemodialysis", "points": 0, "present": false }, { "value": "routine", "factor": "disposition", "points": 0, "present": true } ], "disposition": "routine", "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": "Mumtaz K, Issak A, Porter K, et al.", "doi": "10.1002/hep.30274", "id": "mumtaz-2019", "pmid": "30218583", "source": "Hepatology. 2019;70(2):630-639", "title": "Validation of Risk Score in Predicting Early Readmissions in Decompensated Cirrhotic Patients: A Model Based on the Administrative Database" }, "formula": "mumtaz", "formula_expression": "Mumtaz = age_points + primary_payer_points + elixhauser_ge_3(2) + non_alcoholic_etiology(2) + ascites(5) + hepatic_encephalopathy(4) + variceal_bleeding(-7) + hepatocellular_carcinoma(3) + paracentesis(4) + hemodialysis(7) + disposition_points; Mumtaz 2019; age 18-39 7, 40-64 4, >=65 0; medicare 4, medicaid 5, private 0, self_pay -3, other -1; disposition routine 0, transfer -1, home_health 1, ama 10; range -11 to 49; estimated_readmission_percent is the published score-to-probability mapping; readmission_band low <20% (score -11 to 6), medium 20-30% (7 to 17), high >30% (18 to 49)", "age_years": 70, "max_score": 49, "score": 0, "min_score": -11, "estimated_readmission_percent": 15.1, "primary_payer": "private", "readmission_band": "low" } ] } ``` ## Response fields - `formula` (string): mumtaz - `formula_expression` (string): Exact expression used - `score` (integer): Mumtaz 2019 integer points. Published range -11 to 49. - `min_score` (integer): -11 - `max_score` (integer): 49 - `age_years` (integer): Age in years used for age points - `primary_payer` (string): medicare, medicaid, private, self_pay, or other - `disposition` (string): routine, transfer, home_health, or ama - `estimated_readmission_percent` (number): Published predicted 30-day all-cause readmission percent for this integer score. A population probability, not an individual outcome. - `readmission_band` (string): Mumtaz 2019 predicted 30-day readmission strata: low <20%, medium 20-30%, high >30%. Not a discharge order. - `components` (array): Per-factor points - `citation` (object): Mumtaz et al. Hepatology 2019 citation - `disclaimer` (string): Not-a-device notice ## Example JSON Frozen fixture. Not a live lookup. ```json { "components": [ { "value": 70, "factor": "age", "points": 0, "present": true }, { "value": "private", "factor": "primary_payer", "points": 0, "present": true }, { "factor": "elixhauser_ge_3", "points": 0, "present": false }, { "factor": "non_alcoholic_etiology", "points": 0, "present": false }, { "factor": "ascites", "points": 0, "present": false }, { "factor": "hepatic_encephalopathy", "points": 0, "present": false }, { "factor": "variceal_bleeding", "points": 0, "present": false }, { "factor": "hepatocellular_carcinoma", "points": 0, "present": false }, { "factor": "paracentesis", "points": 0, "present": false }, { "factor": "hemodialysis", "points": 0, "present": false }, { "value": "routine", "factor": "disposition", "points": 0, "present": true } ], "disposition": "routine", "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": "Mumtaz K, Issak A, Porter K, et al.", "doi": "10.1002/hep.30274", "id": "mumtaz-2019", "pmid": "30218583", "source": "Hepatology. 2019;70(2):630-639", "title": "Validation of Risk Score in Predicting Early Readmissions in Decompensated Cirrhotic Patients: A Model Based on the Administrative Database" }, "formula": "mumtaz", "formula_expression": "Mumtaz = age_points + primary_payer_points + elixhauser_ge_3(2) + non_alcoholic_etiology(2) + ascites(5) + hepatic_encephalopathy(4) + variceal_bleeding(-7) + hepatocellular_carcinoma(3) + paracentesis(4) + hemodialysis(7) + disposition_points; Mumtaz 2019; age 18-39 7, 40-64 4, >=65 0; medicare 4, medicaid 5, private 0, self_pay -3, other -1; disposition routine 0, transfer -1, home_health 1, ama 10; range -11 to 49; estimated_readmission_percent is the published score-to-probability mapping; readmission_band low <20% (score -11 to 6), medium 20-30% (7 to 17), high >30% (18 to 49)", "age_years": 70, "max_score": 49, "score": 0, "min_score": -11, "estimated_readmission_percent": 15.1, "primary_payer": "private", "readmission_band": "low" } ``` ## Errors - HTTP 400 `invalid_age`: age must be an integer from 18 to 120 Returned before settlement; you are not charged. - HTTP 400 `invalid_mumtaz_payer`: primary_payer must be medicare, medicaid, private, self_pay, or other (Mumtaz 2019). Returned before settlement; you are not charged. - HTTP 400 `invalid_mumtaz_disposition`: disposition must be routine, transfer, home_health, or ama (Mumtaz 2019). Returned before settlement; you are not charged. - HTTP 400 `invalid_flag`: boolean clinical flags must be true or false Returned before settlement; you are not charged. - HTTP 400 `invalid_items`: POST body must be a JSON object with only an items array Returned before settlement; you are not charged. - HTTP 400 `invalid_item_count`: items must be an array of 1 to 25 objects Returned before settlement; you are not charged. - HTTP 400 `invalid_item`: each items entry must be a JSON object Returned before settlement; you are not charged. Shared HTTP 402 and 503: https://magentlab.com/docs/payments ## Related tools - [Child–Pugh](https://magentlab.com/docs/child-pugh) — Compute the Child–Turcotte–Pugh cirrhosis severity score from bilirubin, albumin, INR, encephalopathy, and ascites. - [MELD](https://magentlab.com/docs/meld) — Compute the Kamath 2001 model for end-stage liver disease (MELD) integer from creatinine, bilirubin, INR, and cholestatic or alcoholic etiology. - [LACE](https://magentlab.com/docs/lace) — Sum van Walraven 2010 Table 3 LACE points from length of stay, acute (emergent) admission, a caller-supplied Charlson integer, and ED visits in the previous 6 months. ## 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. - GET the tool with Accept: application/json (do not send Accept: text/html unless you want the human paywall). - HTTP 402 means you have not paid. Decode the base64 PAYMENT-REQUIRED header. HTTP 503 is not a new quote. - Sign accepts[0] (exact, EIP-3009) with validBefore = now + maxTimeoutSeconds (600 seconds), or accepts[1] (batch-settlement deposit/voucher) on product GET. Ping and POST {items} stay exact. Magent retries transient facilitator 429/5xx before answering. - Retry the same URL with PAYMENT-SIGNATURE (base64 JSON of accepted and payload). Magent attaches canonical extensions.bazaar on CDP verify/settle; echoing 402 bazaar is optional. - Success is HTTP 200 JSON plus PAYMENT-RESPONSE. exact settles before the tool. batch-settlement verifies (and deposit-settles) before the tool and commits the charge after HTTP 2xx. HTTP 503: retry the same PAYMENT-SIGNATURE. Mint a new exact nonce only after a new HTTP 402. - offered `exact` on eip155:8453: Fixed-price USDC on Base. The buyer authorizes the advertised amount (EIP-3009). magent settles before the tool runs (paymentFlow upfront). extra.assetTransferMethod=eip3009 extra.paymentFlow=upfront. - offered `batch-settlement` on eip155:8453: Payment-channel vouchers claimed later in batches. Exact stays accepts[0]. Same-path POST {items} is still exact. extra.assetTransferMethod=eip3009 extra.paymentFlow=authorization. - not offered `upto`: Not offered. Usage-based: buyer authorizes a ceiling, seller settles the actual amount after work. Reserved for a future metered tool. Not for current calculators or code search. Same-path POST {items} is still scheme exact: one EIP-3009 authorization for GET unit plus $0.002 per extra item. That is not x402 batch-settlement (payment channels / vouchers). Shared HTTP 402 and 503 table: https://magentlab.com/docs/payments Stdio MCP (one process per host): https://magentlab.com/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.