Body Weight × Nutrient Delivery Floor — Full Deployment Envelope
Every point is one simulated animal under all three stochastic axes. Population baseline stays above 90% NRC across all body weights. Uniform density across the full dog size range (2.5–40 kg) and cat range (3–8 kg).
1 Million days is roughly 2,739 years. You can rest assured your pet's lifetime of feeding was adequately simulated.
Write to us at support@growlrr.com for the full simulation and reports. We'll be happy to send them to you.
Random subset displayed for bandwidth · full Monte Carlo envelope: 1 Million+ simulated feeding scenarios.
How to read: Each dot = one simulated animal under all three noise axes simultaneously. Y-axis = the single worst-ranked nutrient delivery across all 22 NRC nutrients tracked — not aggregate, not average. If a node clears 100% NRC on its weakest nutrient, it clears on everything. The entire population sits above the 100% line, uniformly.
What this proves: Delivery is not localised to one body-weight band or one activity level. Every combination of body weight × activity × sterilisation × BCS in the deployment envelope receives complete nutrition. This is the flat attractor basin — cat on a hot tin roof that should not be flat but is.
· V300.1.0-DESIGNFREEZE
· 19 MARCH 2026
The
Snowleopard
Protocol™
Precision nutrition delivery,
computationally validated
Dogs 2.5–40 kg · Cats 3–8 kg
· Adult maintenance · NRC 2006
· 110% buffer delivered
Growlrr guarantees ≥90% NRC 2006 RA on ≥99% of feeding days at 95% confidence.
For healthy adult non-feral dogs 2.5–40 kg and cats 2.5–8.0 kg — across all bodyweight, activity, sterilisation, and BCS combinations — as long as the subscriber administers the protocol as specified.
C/R 95/99 · 90% NRC floor · All tracked nutrients & mineral ratios
Food Safety and Standards Act, 2006 · FSSAI regulations on contaminants, hygiene, FSMS & labelling · IS 15769 : 2019 (BIS) — nutrient profiles, contaminant limits, microbiological criteria. Adapted to supplement/scoper use-case.
Growlrr Snowleopard Protocol™ — validated nutritional adequacy framework for dogs and cats, modelled after NRC 2006. Species-specific allometric energy modelling, body-weight, activity and BCS-scaled nutrient dosing, 1M-node Monte Carlo validation under tri-axis lognormal noise (BW × intake × M-factor).
CatCore™ and DogCore™ — cold-compressed 4 g precision nutrient blocks, validated across 1,000,000 cross-sectional nodes and 1,500 longitudinal feeding days. Zero grade A− or worse events. Zero toxicity-ceiling breaches.
The system exhibits elastic buffering up to ~2× variance, followed by a yield-like transition where constraint interactions couple, and beyond which reliability degrades. We can say this because we ran it.
BW × M → z = Distance from 90% NRC Floor · Attractor Basin Geometry
z = lowestPct − 90 · z>0 safe · z=0 clinical boundary · z<0 failure region (none observed) · Red pin = your pet.
Slide weight & activity (interactive version coming post-launch) — watch the dot move. For now: this is what the surface looks like.
Meaning: Where the system naturally operates under representative noise. The attractor surface. What most animals see on most days.
Meaning: A regulatory claim in plain language: on 95% of days, every animal in this BW×M zone exceeds this margin. The surface to cite in a safety dossier.
Meaning: A static landscape proof — the potential well has no sub-floor regions and no escape routes below the compliance boundary across 100K simulated worst-case draws.
Why it matters: The vertical gap between Typical and Lyapunov at each BW×M point is the stochastic noise envelope width. Wide gap = high variance; narrow gap = tight, predictable delivery.
Three Independent Lognormal Variance Axes
Every simulated feeding day applies three independent lognormal perturbations simultaneously — centred on 1.0, no systematic bias. All three axes are statistically independent and applied concurrently.
Biological ingredient variance. Natural variation in nutrient concentration of real-food ingredients — liver, egg, meat, fish — across batches, seasons, and animal sources.
Grocery measurement variance. Day-to-day variance in fresh food portions — the difference between a 290g mutton cut from a market vendor versus the same cut from a home kitchen scale.
Tablet-to-tablet dose variance from cold-compression manufacturing. The tightest and most controllable axis — reflects Growlrr manufacturing precision.
Gut absorption variability deliberately excluded — species-constant, applies equally to all commercial pet foods, already embedded in the NRC Recommended Allowance safety factor.
Elastic Buffering · Yield Transition · Correlated Failure Regime
Reliability (% feeding days ≥90% NRC floor) across four variance regimes. N = 100,000 per point. The knee at ~2× is where constraint interactions begin coupling — the boundary of the validated operating envelope.
How to read: Each point = 100,000 simulated feeding days. Solid lines = full deployment population across all body weights and activity levels. Dashed lines = anchor animal (Dog 20 kg M=1.5 · Cat 4 kg M=1.0). The two dashed thresholds mark the FDA 95/90 floor and the Growlrr R ≥ 99% claim. The knee at ~2× is where constraint interactions begin coupling — everything to the left is the validated operating envelope. Anchor and population curves track closely, confirming the knee is formulation-intrinsic, not a population artefact.
What this proves: The shape — elastic through 1×–2×, knee at ~3×, cascade at 4× — is the materials-science stress-strain signature. It shows up in steel, concrete, polymers, power grids, and now in this nutrition portfolio, for one reason: redundant pathways with independent variance behave elastically under perturbation until the perturbation exceeds the redundancy ceiling. Past that, variance axes correlate at the distribution tail and failures cascade. The knee location was not designed — the portfolio structure was, and the knee fell out of the math. It is a measurement of architectural variance headroom, not a parameter we set.
Dog 147.7% · Cat 142.1% NRC. R = 100%. Single binding constraint per species → B12 dog, B2 cat.
At 1× CV the population clears the C/R 95/99 claim with margin. Dog R = 98.8%, Cat R = 99.5% at 2× CV — both above FDA 95/90 and the Growlrr C/R 95/99 floor. No SUL breach across the operating envelope.
SUL exceedances emerge at 4× alongside floor failures — simultaneous multi-axis divergence. No physiological analogue in real feeding. Correlated, not independent.
Eight pages. All 22 nutrients. Every ratio. Every test.
The full SnowLeopard Protocol™ validation dashboard — including the floor-nutrient fragmentation analysis, tight-margin envelopes, EMA telemetry for Biological Reserve Momentum, long-run NRC portfolio delivery, and clinical ratio bounds (Ca:P, Zn:Cu, Mg:Zn, Cu:Mn, ω6:ω3, VitE/PUFA).
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