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UBERMENSCH
07:15:22

Models

Model definition

Definitions for Rel, the time course, overlap, and the three kinetic engines. The slider below shifts the evaluation time. Doses that have left the acute window are not plotted; they remain in the journal.

t = now

Drag left for earlier doses · pinch or +/− zoom time · tap for the clock time · Y = Rel

-12h-8h-4hnow+4h+8h+12hSun, Oct 18

At this instant

  • No acute doses at this evaluation time.

Tone at t

No active synaptic push. Log a compound and the systems map fills in.

Rel

Rel is the model’s “what’s in play for this compound.” It is amount at time t divided by the peak amount of a typical adult dose of the same compound on the same route.

  • 1.00 = typical-dose peak (one standard session of this thing, this route).
  • Extra logs of the same compound and route add. Rel 2, 4, 9 means that many typical doses’ worth, not a mix of other substances.
  • For caffeine-like curves, Rel tracks residual in the system. For THC/LSD-like curves, Rel is the session shape (not fat stores or terminal t½).

Rel is not synergy, not a combined high, and not comparable across compounds. 1.00 caffeine is not 1.00 LSD. Two colors at once means two independent Rel series at the same hour.

Felt intensity

Felt is closer to “what you’re typically expected to register from this line right now.” It is Rel put through a saturating occupancy curve (Hill), so doubling the amount in the system does not double intensity.

  • Felt = Reln / (EC50n + Reln), n ≈ 1.35, EC50 ≈ 0.55.
  • Typical dose: Rel 1.00 → felt ≈ 0.69. Felt 1.00 is the model ceiling (Emax), not a usual session.
  • Same compound, several doses: Hill of the summed Rel, not the sum of Hills.

Felt is still per compound. It does not add THC + caffeine into one number. Combined receptor-system direction is the synaptic map. Your check-in is the observation; Rel and Felt are the prior.

Time course

X is hours relative to now. Y is Rel or Felt, from the toggle. Dashed 1.00 is typical peak (Rel) or model Emax (Felt). In Felt mode, “typ” is ~0.69 (a typical-dose peak).

If plasma half-life and labeled duration agree (ratio 0.6–1.5), the curve is first-order absorption and elimination (Bateman function); elimination uses t½. Caffeine, modafinil, and diphenhydramine use this. Rel remains substantial after the labeled session because the drug is still present.

If they disagree, the plotted curve is the acute session: peak at labeled Tmax, Rel ≈ 0.10 at labeled duration. Used when terminal t½ is redistribution (THC) or when receptor occupancy outlasts plasma (LSD, alprazolam, phenibut). Terminal t½ is noted on the compound page and is not the plotted decay.

Overlap

Same compound and route: Rel is summed on one series. Different compounds share the time axis; each Y is Rel versus that compound’s own typical peak.

If the largest peak in the window is more than 2.5× the smallest, each series is scaled to its own peak so small traces remain visible. In that mode Y is not a shared Rel scale; use the Rel value on the card.

Kinetic classes

Default: first-order absorption and elimination. Ethanol: zero-order elimination (Widmark; ~7 g/h scaled by body weight and sex). Chronic entries (creatine, ashwagandha, sertraline, vitamin D): occupancy plateau through labeled duration, then terminal decay — not an acute peak.

Phases

pre-onset, onset, come-up, peak, plateau, offset, afterglow, cleared. Afterglow can remain on the board after the acute trace is below plotting threshold. Cleared: Rel and phase no longer warrant display on Now.

Limits

Parameters are literature-typical adult values. The model does not include CYP genotype, food, gastric emptying, tolerance, receptor downregulation, or verification of the substance taken. It is not a plasma measurement.

Equations

Bateman: C(t) ∝ F·Dose·ka/(ka−ke)·(e−ke t − e−ka t), ke = ln2 / t½ when t½ and duration agree. Session-shaped curves: rise to Tmax, then exponential decay with ke = ln(10)/(duration − Tmax). Synaptic map: Hill(Rel; n ≈ 1.35, EC50 ≈ 0.55 of typical peak). Stacked tone: 1 − Π(1 − |w·e|), signed. Sources: each library entry and the Sources page.

Ubermensch models typical adult pharmacokinetics and receptor action. It is not a measurement of your plasma, and it does not diagnose, treat, or replace a clinician. Parameters are literature-typical and will not match every individual.