Why the trial's number is not your patient's number
A randomized trial reports an average effect in a selected population. Applying that summary number to an individual fails in predictable ways (Kent & Hayward, JAMA 2007 [1]; the PATH Statement, Ann Intern Med 2020 [2]; Rothwell's external-validity critique, Lancet 2005 [3]):
- Baseline risk varies enormously between patients — often 10-fold within one trial — while the relative effect is comparatively stable. Absolute benefit is roughly baseline risk × relative risk reduction, so trial-average absolute numbers (including NNTs) are wrong for almost everyone.
- Trial populations are curated. A review of 283 major-journal RCTs found common medical conditions, age, and polypharmacy among the most frequent exclusions, with only 47% of exclusion criteria strongly justified (Van Spall, JAMA 2007 [4]). The multimorbid older adults who take the most preventive medication are the least represented in the trials of it.
- Prevention takes time that not every patient has. Preventive drugs deliver benefit on a lag (time-to-benefit), while harms and burden start with the first tablet — the asymmetry at the core of prescribing-late-in-life frameworks (Holmes, Arch Intern Med 2006 [5]).
- Trial adherence is not clinic adherence. Intention-to-treat effects embed in-trial adherence (~85–90%); half of real-world statin starters have stopped within a year (Jackevicius, JAMA 2002 [6]).
MedModel makes those four corrections explicitly, in a fixed order, and shows its work as a step-by-step waterfall so each adjustment can be inspected — and challenged.
The dataTwo datasets, one model
MedModel runs on a merged evidence base with explicit provenance:
- Breadth — the meds.kevinkeet.com database (imported verbatim as js/data/medeval-database.js): 60 medications with per-indication NNT/RRR/timeframe entries from landmark trials, serious-harm NNHs, a purpose taxonomy (preventive / disease-modifying / symptomatic / replacement), burden tiers with descriptions, annual costs, monitoring, and contraindication lists.
- Depth — MedModel's verified entries (12, marked ★ in the app): for the major preventive classes, hand-curated trial demographics, confidence intervals, time-to-benefit values from the TTB literature, harm-scaling rules, and full citations, each checked against primary sources.
A lift layer (js/services/lift.js) converts any database entry into engine form. An outcome published as {RRR, NNT over T years} implies, in its own trial population, ARRT = 1/NNT and a control-arm risk R₀T = ARRT/RRR, hence an annual control hazard −ln(1−R₀T)/T and HR = 1−RRR. The engine then individualizes exactly as it does for deep entries. Where a deep entry exists for the same drug-indication pair, it takes precedence; everything else is labeled "lifted from meds.kevinkeet.com" and carries class-level defaults for what the upstream rows don't record (time-to-benefit ramp, in-trial adherence ~85%, approximate trial mean age) — the defaults table with sources is at the top of lift.js. DOAC stroke effects are published upstream versus warfarin; the lift composes them against no-treatment via warfarin's RRR of 64% (Hart 2007): 1−RRRnet = 0.36 × HRvs warfarin.
What deliberately does not lift: symptomatic and replacement medicines (responder rates like "50% pain reduction" are not preventable events), and outcomes with no baseline anchor. Those render as an honest non-model card — felt benefit versus harms and burden — rather than being forced through prevention math.
The modelStructure: a discrete-time competing-hazards model
For each scenario the engine simulates monthly cycles over the chosen horizon. While alive and event-free, a patient faces two hazards: the index outcome (e.g., major vascular event) and death from other causes. Cumulative incidence is accumulated cause-specifically:
S(t) = S(t−1) · (1 − pevent(t)) · (1 − pother(t))
ARR(T) = CIFuntreated(T) − CIFtreated(T); NNT = 1/ARR. This is the standard cause-specific-hazard construction (a discrete Fine-Gray-style cumulative incidence), which automatically produces the geriatric result: as competing mortality rises, achievable absolute benefit falls even at identical event risk.
1 · Baseline risk: the patient's, not the trial's
The first substitution replaces the trial control-arm risk with the individual's predicted risk, applying the trial's relative effect to it. This is the central recommendation of the PATH Statement [2] and is justified empirically: relative effects are approximately constant across baseline-risk strata for the drug classes modeled here —
- Statins: RR 0.78 (95% CI 0.76–0.80) per 1.0 mmol/L LDL reduction, with no significant heterogeneity across five strata of baseline 5-year risk (CTT, Lancet 2010 [7]; low-risk analysis, Lancet 2012 [8]).
- BP lowering: RR 0.80 (0.77–0.83) for major CV events per 10 mmHg SBP, consistent across baseline BP, prior CVD, and comorbidity (Ettehad, Lancet 2016 [9]; BPLTTC, Lancet 2021 [10]).
Baseline risk sources, in order of preference: a validated multivariable equation where one exists (Pooled Cohort Equations for primary-prevention ASCVD [11], implemented exactly and verified against the guideline's published worked examples; CHA₂DS₂-VASc with the Friberg 2012 Swedish-cohort untreated event rates for AF [12]); otherwise the trial control-arm rate anchored to a user-selected risk stratum with transparent multipliers. Renal function uses the race-free CKD-EPI 2021 creatinine equation (Inker, NEJM 2021 [59]), verified against hand-computed values; an eGFR below 30 auto-sets the CKD flag, harm scaling, and contraindication checks.
Bleeding on antithrombotics: HAS-BLED, dynamically
For anticoagulants, static bleeding NNHs are replaced by a patient-specific estimate: the HAS-BLED score (Pisters, Chest 2010 [60]) maps to an annual major-bleed rate on warfarin (1.13 → 12.5%/y across scores 0–5), multiplied by an agent factor from the pivotal vs-warfarin trials (apixaban 0.69, dabigatran 0.94, rivaroxaban ~1.04, edoxaban 0.80; intracranial factors ~0.4–0.7, DOAC class RR 0.48 [61]). The excess versus no antithrombotic is taken as ~55% of the on-drug rate (anticoagulation roughly doubles major bleeding; est., stated on the card), with ~12% of warfarin major bleeds intracranial. The uncontrolled-hypertension criterion is approximated as absent, and labile INR is proxied by poor expected adherence for warfarin only — both noted limitations.
2 · Competing mortality and prognosis
Other-cause mortality follows a Gompertz hazard h(a) = A·eB·a — the classical law of adult mortality, with rates doubling roughly every 8 years — anchored by sex to the NCHS US life tables (q65, q85) and validated in the test suite against published remaining life expectancies (2022 tables: e65 17.5 y men / 20.2 y women) [13].
The five overall-health levels scale this hazard (×0.55 to ×2.9), calibrated so that "excellent / average / poor" reproduce approximately the top-quartile / median / bottom-quartile life expectancies of the Walter & Covinsky individualized-prevention framework (JAMA 2001) [14]. The frailty multiplier magnitude matches meta-analytic frailty mortality hazards (HR ≈ 2.4 [15]) and the survival spread demonstrated for gait speed (Studenski, JAMA 2011 [16]). Selected high-lethality conditions multiply further, using published all-cause mortality hazards: heart failure ≈1.8 [17], moderate-severe dementia ≈2.5 [18], home-oxygen COPD ≈3 (NOTT/MRC [19]), eGFR <30 ≈3 (Go, NEJM 2004 [20]), metastatic cancer ≈4 (SEER-based estimate). The product is capped (×8); this is deliberately a prognosis sketch, not a validated index — for real prognostication use ePrognosis (Lee [21]/Schonberg [22] indices).
3 · Time-to-benefit
Treatment effect ramps in linearly from zero to the full hazard ratio over a class-specific period fitted to the survival-meta-analysis time-to-benefit literature (the displayed TTB quotes the source directly):
| Therapy | Time to benefit | Source |
|---|---|---|
| Statins (primary prevention) | 0.8 y to 1/500; 2.5 y to 1/100 MACE | Yourman, JAMA IM 2021 [23] |
| BP lowering (age ≥65) | 0.9 y to 1/500; 1.7 y to 1/200; 3.0 y to 1/100 (stroke) | Ho, JAGS 2022 [24] |
| Bisphosphonates | 12.4 mo to 1/100 nonvertebral fx; 20.3 mo to 1/200 hip fx | Deardorff, JAMA IM 2022 [25] |
| SGLT2i in HFrEF | significant by day 28 (DAPA-HF); day 12 (EMPEROR-Reduced) | Berg, JAMA Cardiol 2021 [26]; Packer, Circulation 2021 [27] |
| Anticoagulation in AF | effectively immediate | no formal TTB analysis; KM curves separate from the outset [28] |
| Intensive glycemic control | ~6–9 y to microvascular benefit | UKPDS 33 KM curves [29]; Huang decision model, Ann IM 2008 [30] |
When median survival (from step 2) is shorter than the therapy's TTB, the app raises the Holmes flag [5]: the patient is likely to carry burden and harm-risk without living to collect the benefit. The same logic underpins deprescribing tools (STOPPFrail [31]) and is supported by trial evidence that stopping statins in advanced illness does not worsen survival and improves quality of life (Kutner, JAMA IM 2015 [32]). Lee's cancer-screening lagtimes (BMJ 2013 [33]) established the framework.
4 · Adherence: diluting the trial effect honestly
Under proportional hazards with an on/off drug effect, a patient covered for a fraction f of days experiences an average hazard of h·(1 − f·(1−HRbio)). The trial's ITT hazard ratio already embeds the trial's own adherence ftrial, so:
Anchors: trial adherence ~85–90% (HPS in-trial compliance ≈85% [34]); real-world adherence to chronic preventive therapy 43–78%, typically ~50–65% (Osterberg, NEJM 2005 [35]); half of elderly statin starters stop within a year and only ~1 in 4 maintain PDC ≥80% at 5 years (Jackevicius [6]; Benner, JAMA 2002 [36]). The presets (90% / 65% / 40%) span that literature.
What we deliberately do not do: observational adherence–mortality gradients (e.g., good-vs-poor adherence all-cause mortality RR 0.55 [37]) are heavily confounded — adherence to placebo carries nearly the same association (OR 0.56; Simpson, BMJ 2006 [38]). MedModel therefore uses only the proportional-exposure dilution above, not the observational gradient. This is the conservative, mechanism-based choice for the efficacy-effectiveness gap (Eichler, Nat Rev Drug Discov 2011 [39]).
5 · Representativeness, stated — not faked
Where a patient falls outside the trial population, no defensible multiplier exists — so the model does not invent one. Instead it grades the mismatch (in the trials / extrapolated / outside the evidence) from each medication's actual enrollment (age ranges, exclusions) plus global rules (older than the oldest participants; frailty [4]), states the reason in plain language, and — where subgroup evidence exists — quotes it (e.g., CTT 2019: relative effect similar across ages overall but inconclusive for primary prevention over 75 [40]; SPRINT's exclusion of diabetes, stroke, dementia, and nursing-home residents; ELDERCARE-AF supporting anticoagulation benefit in frail ≥80 [41]; ASPREE showing primary-prevention aspirin ≥70 causes net harm [42] — included in the library deliberately as the cautionary case).
The other side of the ledgerHarms
Harms are modeled as absolute excess rates (vs no treatment) from trial safety tables and pharmacoepidemiology, with three deliberate differences from the benefit side:
- No time-to-harm lag. Bleeding, hypoglycemia, falls, and intolerance begin at once — the clinically decisive asymmetry near the end of life [5].
- Patient-factor scaling with cited multipliers. Examples: major bleeding on anticoagulants roughly doubles from trial-average age to ≥80 (ARISTOTLE age strata; Halvorsen, EHJ 2014 [43]); upper-GI bleeding on antiplatelets rises ~4-fold at ≥75, ~10-fold for disabling/fatal bleeds (Li, Lancet 2017 [44]); statin new-onset diabetes NNH ≈255 over 4 y (Sattar [45]; dose-dependence, Preiss [46]); reported statin muscle symptoms are ~90% nocebo (SAMSON [47]; StatinWISE [48]) while true rhabdomyolysis is ~4.4/100,000 py (Graham, JAMA 2004 [49]); atypical femoral fractures rise steeply beyond 5 years of bisphosphonate use but are outnumbered ~149:2 by hip fractures prevented at 3 y (Black, NEJM 2020 [50]); serious fall injuries on antihypertensives in frail elders, HR ~1.3–1.4 (Tinetti, JAMA IM 2014 [51]); severe hypoglycemia with intensive control, ACCORD [52]/ADVANCE [53].
- Exposure-scaled. A patient who takes 40% of doses gets less harm as well as less benefit; harms scale with actual exposure.
Harm rates also pass through the competing-mortality machinery (a bleed cannot happen after death), so harm counts are honest per-1000 figures over the same horizon as benefits. Where an excess-vs-nothing rate had to be derived (e.g., anticoagulant bleeding vs no antithrombotic, from AVERROES arms [54]), the derivation is stated on the card and marked "est."
Treatment burden
Burden — the workload of being a patient — is scored 0–10 from a transparent rubric, not presented as probability. It operationalizes minimally disruptive medicine (May, Montori & Mair, BMJ 2009 [55]) and the Treatment Burden Questionnaire tradition (Tran, BMC Med 2012/2014 [56]); the classic demonstration is Boyd's guideline-perfect 79-year-old taking 12 drugs on a 19-dose day (JAMA 2005 [57]).
| Facet | Points |
|---|---|
| Dosing frequency | 1×/d +0.5 · 2×/d +1.5 · ≥3×/d +2.5 |
| Monitoring (labs + extra visits/year) | 1 +0.5 · 2–3 +1.0 · ≥4 +1.5 |
| Administration constraints | +0.8 each (fasting rituals, sick-day rules, INR checks…), cap 2.5 |
| Cost tier | $ +0 · $$ +0.75 · $$$ +1.5 |
| Interaction potential | low +0 · moderate +0.5 · high +1.0 |
Goals of care, preferences, and the recommendation ladder
The decision layer is ported intact from the original meds.kevinkeet.com application and re-powered by the engine's numbers:
- Goals of care set the bar. The four-option spectrum (Comfort-Focused / Selective / Balanced / Proactive) maps to a net-benefit threshold a therapy must clear to be recommended: 3.0 / 1.0 / 0.3 / 0.0 QALYs per 100 patients per year — the original framework's numbers, applied to the severity-weighted benefit−harm balance (burden and cost act as modifiers, as upstream, not as part of the thresholded quantity). This operationalizes the "goals of care" arm of the Holmes framework [5].
- Preferences modulate burden and cost. A stated preference for fewer medications bumps a therapy's burden tier; cost sensitivity charges expensive drugs; monitoring intolerance penalizes monitoring-heavy regimens (all ported from the original engine).
- Beers / elderly safety can override. The original checkElderlySafety logic (AGS Beers Criteria 2023 basis) runs on every therapy: fall-risk, cognition, sedation, hypoglycemia, HF-worsening, and narrow-therapeutic-window flags scale with age, frailty, fall history, and dementia; a high-severity flag in a frail patient forces "avoid," and Beers-listed drugs are capped at "caution" tiers.
- The recommendation ladder (strongly recommended → recommended → consider → marginal → caution (Beers) → not recommended, plus contraindication hold-outs) reproduces the original tiers, now with every number individualized by the competing-hazards model.
- The synthesis closes the review: every current and candidate therapy grouped into start / discuss / continue / reconsider-or-deprescribe / verify, each line carrying its severity-weighted net per 1000 over the chosen horizon. Candidate generation is strictly indication-gated by the entered conditions (no antidepressants without depression), de-duplicated to the best entry per drug class, and never includes contraindicated therapies in the ranked groups.
- EMR quick-import (ported): a copyable extraction prompt produces a JSON schema the page parses fully client-side — nothing leaves the browser.
- Therapeutic slots, switches, and coherence. Candidates are offered one per therapeutic slot, not per class string — thiazide and thiazide-like, ACEi/ARB/ARNI, warfarin/DOACs, and oral/IV antiresorptives are alternatives, never listed side by side. Within a slot, higher net wins, but a ★ deep-verified entry is preferred over a lifted estimate unless the lifted row clearly outscores it (>15 points) — lifted rows carry no CIs and lean on class defaults. When a slot is already occupied, a clearly better alternative appears as a switch suggestion (warfarin → apixaban); entries trialed against their own slot's standard (ARNI vs enalapril, PARADIGM-HF) clear the switch bar on their incremental net alone. New BP agents are only proposed when SBP is actually above goal. A recommendation chip can never sit beside a negative displayed net — if burden and cost consume the benefit−harm margin, the tier says so. And for AF, an explicit anticoagulation check states the CHA₂DS₂-VASc-vs-HAS-BLED balance, calls out untreated AF as the most consequential action, and reminds that antiplatelets are usually held once anticoagulated (AFIRE), with dabigatran's bleeding factor rising at ≥75 (Eikelboom, Circulation 2011).
Six refinements from the gut-check review
Comparing the model's outputs against clinical judgment on the example patients surfaced six places where the arithmetic was missing a mechanism a clinician uses implicitly. All six are now in the model:
- Goals of care reorder the severity weights, not just the threshold. A comfort-focused patient does not simply demand more benefit — they value different benefit (Fried NEJM 2002: most seriously ill elders decline treatment whose payoff is survival with severe impairment). Outcomes are classed as fatal / disabling / symptomatic / intermediate, and the goals selection multiplies their weights: Comfort ×0.5 survival, ×1.15 disabling, ×1.75 symptomatic; Proactive ×1.15 survival, ×0.85 symptomatic. The active weighting is printed in the goals banner.
- Co-therapy rules add the combinatorial layer single-drug scoring can't see. Antiplatelet + anticoagulant (AFIRE 2019 — the antiplatelet is usually the one to stop), ACEi + ARB/ARNI (ONTARGET — never combine), sulfonylurea + basal insulin (additive hypoglycemia), double anticoagulation, and omeprazole + clopidogrel (CYP2C19). Demoted members of a pair move to "reconsider"; forbidden candidate combinations are held out.
- Recurrent outcomes are counted as expected events, not first events. Gout flares and COPD/asthma exacerbations recur; first-event cumulative incidence caps them at one per patient and structurally undervalues symptom prevention — precisely the benefit comfort-focused weighting is meant to protect. The engine now integrates hazard over alive person-time for outcomes flagged recurrent ("repeats counted" in the UI).
- Lifted harms now scale to the patient. The original engine's eGFR/age adjustments are ported onto every database entry that lacks curated rules: hyperkalemia ×3.3 below eGFR 30 (×2.0 at 30–44, ×1.25 with diabetes), AKI ×2.5/×1.7 by eGFR, severe hypoglycemia ×1.7 at ≥75 / ×1.4 with reduced clearance / ×1.5 with dementia, statin diabetes ×2 with prediabetes.
- Bisphosphonate duration matters. A years-on-therapy input scales atypical-femoral-fracture risk along the Black NEJM 2020 gradient (×0.4 under 3 y → ×7 at ≥8 y) and raises a drug-holiday flag at ≥5 years.
- Correlated comorbidities no longer multiply naively. A patient rated "poor health for age" is largely rated that way because of the conditions listed, so condition hazard ratios are damped by an exponent that shrinks as the health level already encodes illness (full weight at excellent; ~×0.2 at poor), with diminishing weight per additional condition and a per-level ceiling. This lifted the frail example's median survival from an implausible 0.8 years to ~1.4 — closer to clinical expectation — and keeps deprescribing arithmetic honest rather than exaggerated.
The regimen-review ranking
The regimen view scores every therapy applicable to the patient on one scale so they can be compared. Per 1000 patients over the chosen horizon:
The event counts (ARR, harm excess) come from the competing-hazards engine — fully individualized. The severity weights w are the QALY-utility estimates from the meds.kevinkeet.com engine (death 1.0, disabling stroke 0.7, ICH 0.6, hip fracture 0.5, MACE 0.35, major bleed 0.15, severe hypoglycemia 0.05…), and the burden term uses its annual decrements (low 0.01 / moderate 0.03 / high 0.06 QALY), tempered ×0.2 so burden breaks ties rather than overruling hard outcomes. Three honesty rules: therapies matching a contraindication are scored but held out of the ranking; symptomatic/replacement medicines are listed separately, unranked; and every row exposes its arithmetic (benefit, harm, burden components). The weights are point-estimate utilities, not measured preferences — the ranking is a screen that orders the conversation, and each row links to the full workup.
Trust, but verifyCalibration and validation
The repository ships a test suite (medmodel/test/engine.test.js, run with node) that asserts:
- PCE implementation is exact: reproduces all four published worked examples from the 2013 guideline appendix (2.1% / 3.0% / 5.3% / 6.1% for the standard 55-year-old profiles) [11].
- Mortality model matches the US life tables: e65, e75, e85 by sex within tolerance of the NCHS 2022 values [13]; health levels reproduce the Walter & Covinsky quartile spread [14].
- Trial round-trips: with patient set to the trial average, the model reproduces published results (SPRINT: NNT ≈ 61 over 3.26 y [58]; DAPA-HF: NNT ≈ 21 over 18 months [59]). The waterfall's step 1 performs this same replication live for every medication, so the calibration is visible on screen, per drug.
- Directional sanity: benefit shrinks monotonically with frailty and non-adherence; a time-to-benefit longer than survival collapses it.
Limitations — read these
- This is an educational model, not a clinical calculator. Individualized outputs are model estimates layered on trial averages; they have not themselves been validated against outcomes. It is a reasoning scaffold — the honest version of the arithmetic clinicians already do implicitly.
- Event hazards are held constant over the horizon (except mortality); real risks drift with age. PCE is applied for horizons other than 10 years by hazard conversion.
- The model does not feed prevented events back into survival, so for mortality-including composites the benefit is, if anything, slightly understated in high-risk cases.
- Adherence dilution assumes an immediate on/off effect; drugs with legacy effects (statins) retain some benefit after gaps, so the dilution there is conservative.
- Friberg CHA₂DS₂-VASc rates come from a 2005–2008 cohort; contemporary untreated rates run somewhat lower, so AF benefits may be modestly overstated.
- Several harm excess rates versus "no treatment" required derivation from active-comparator trials and are marked "est." on their cards.
- Confidence intervals are displayed but not propagated through the simulation; the waterfall shows point estimates.
- Race in the PCE is a cohort calibration variable, not biology; the 2023 PREVENT equations (race-free) are the natural upgrade path.
- Trial-population values (mean ages, adherence, some control rates) are curated from the sources cited in each entry; a handful (marked "est.") are informed estimates awaiting a primary-source pass.
- Lifted entries inherit the upstream database's NNT/NNH curation (described there as "reasonable estimates" for some rows) plus class-default TTB and adherence values. The 12 deep entries got a primary-source verification pass; extending that pass across the other 48 — starting with the heart-failure block, whose numbers drive the regimen ranking hardest — is the highest-value next step.
- Regimen severity weights are utility conventions, not elicited patient preferences. Goals of care now reorder them by outcome class (see the gut-check refinements), but individual elicitation ("how bad would a major bleed be for you?") remains the honest upgrade. Use the ranking to structure the conversation, not to end it.
- The co-therapy rule set covers the highest-yield combinations only; it is not an interaction checker.
- The comorbidity damping exponents and ceilings are calibration judgments (validated against clinical expectation, not outcomes data) — as is the ×0.2 burden tempering.
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