ENGINE SCHEMATIC

The complexity is ours.
The clarity is yours.

You give us your protocol and your bloodwork. The engine does the rest.

A standard blood test is one-dimensional — one marker, one range. The TRT Plus engine reads the clinical relationships between markers, weighing ratios and dynamic interactions, not just absolute values.

Inputs

You provide

The Engine

We built

Outputs

You receive

Inputs

You provide

MY
PROTOCOL

Your individual protocol — dose, frequency, all compounds.

Testosterone

+Test Cyp💪🏼140 mg/W (D)

Compounds

+GH🧬1 IU (D)

+Anavar🐂20 mg (3xW)

+BPC-157🐺250 mcg (D)

+Fish Oil🐟6 g (D)

MY
BIOMARKERS

Comprehensive 15+ biomarker panels analysed against optimized reference ranges.

IGF-1

L204ng

Total T

1278ng/dL

41pg/mL

Hct

54%

120/79

ApoB

0.7g/L

Body Fat

8.8%

TSH

1.3mIU/L

CRP

1.4mg/L

SHBG

35nmol/L

DHT

47ng/dL

PSA

0.78ug/L

HbA1c

4.9%

GGT

22U/L

CysC

0.68mg/L

The Engine

We built

Deep Analysis of
Real-World TRT Patients

De-identified results form the foundation of every model and reference range.

Data Foundation

HIPAA-compliant · De-identified · Encrypted · Secure

Clinical Framework

Evidence-based protocols from real clinician input.

AI-Enhanced

Pattern recognition across thousands of cases.

Continuous Learning

Models refine as new data & studies flow in.

Healthspan Advocacy

Promotes real bloodwork follow-through and whole-health vigilance.

Outputs

You receive

BIOMARKER SCORE
& RATIOS

37:1

T:SHBG

Optimal

28:1

A:E

Balanced

PERSONALIZED BIOMARKERS
REPORT

Recommendations
Hormonal Balance
Muscle-Building Potential
Dose Response
Compound Analysis
Healthspan Assessment
Cardiovascular Risk Profile
Overall Health

The Testimator^TM
OPTIMIZED STEADY-STATE

Read your response curve — dial in your protocol.

Under the Hood

Real engineering.
Real math.

Every score, range, and insight in TRT Plus is produced by a deterministic, programmatically engineered model — not approximated by a generic AI. Clinical-grade analytical depth.

Multi-Route PK

Multi-Route Compound Plotter

\begin{gathered} \text{Steady-State Concentration}\;\text{(Multi-Route):} \\[0.3em] C_{total}(t) = \sum_{i=1}^{n} R_i(t - t_i) \cdot \frac{1}{1 - e^{-k_i\tau_i}} \\[1.5em] \text{Route-Specific Release Functions:} \\[0.3em] R(t) = (A \cdot E \cdot k \cdot \alpha_{route}) \cdot e^{-kt} \quad \text{(depot, oral, peptide)} \\[0.3em] \alpha_{route} \in \{\alpha_{depot}, \; \alpha_{aqueous}, \; \alpha_{peptide}, \; \alpha_{oral}\} \\[0.8em] R(t) = \frac{D_{abs} \cdot k_a \cdot k_e}{k_a - k_e} \cdot \left(e^{-k_e t} - e^{-k_a t}\right) \quad \text{(transdermal)} \\[0.3em] D_{abs} = \frac{V_{max} \cdot D_{applied}}{K_m + D_{applied}} \quad \text{(Michaelis-Menten absorption)} \\[1.5em] \text{Exponential Decay:} \\[0.3em] C(t) = C_0 \cdot e^{-kt}, \quad k = \frac{\ln(2)}{t_{1/2}} \\[1em] {\scriptstyle \text{Parameters:}} \\[0.2em] {\scriptstyle n = \text{total doses}, \quad t_i = \text{administration time}, \quad \tau = \text{dosing interval}} \\[0.3em] {\scriptstyle A = \text{amount}, \quad E = \text{effectiveness}, \quad k = \text{decay constant}} \\[0.3em] {\scriptstyle \alpha_{route} = \text{absorption rate modifier (route-dependent)}} \\[0.2em] {\scriptstyle k_a = \text{transdermal absorption rate constant (site-specific)}} \\[0.2em] {\scriptstyle k_e = \text{elimination rate constant}} \\[0.2em] {\scriptstyle D_{abs} = \text{absorbed dose per administration}} \\[0.2em] {\scriptstyle V_{max},\, K_m = \text{Michaelis-Menten saturation parameters}} \end{gathered}

Powers PK charting across every compound

A unified pharmacokinetic engine that handles injectable oils, orals, peptides, and testosterone cream — each modelled accurately for its specific delivery route, with route-specific absorption and elimination kinetics.

Androgenic Load

Androgen:Estrogen Asymmetric Additive Formula

\begin{gathered} \text{Total Androgenic Load (A):} \\[0.3em] A = \max\!\left(1,\; T + \beta \cdot (DHT - DHT_{ref}) \cdot \phi\right) \\[0.8em] \phi = \begin{cases} 1 & \text{if } DHT < DHT_{ref} \\[0.3em] \left(\dfrac{DHT}{DHT_{ref}}\right)^{k-1} & \text{if } DHT \geq DHT_{ref} \end{cases} \\[1.5em] \text{A:E Ratio:} \\[0.3em] \text{A:E} = \dfrac{A}{E_2} \\[1.5em] {\scriptstyle \text{Parameters:}} \\[0.2em] {\scriptstyle T = \text{Total Testosterone (ng/dL)}} \\[0.2em] {\scriptstyle E_2 = \text{Estradiol (pg/mL)}} \\[0.2em] {\scriptstyle DHT = \text{Dihydrotestosterone (ng/dL)}} \\[0.2em] {\scriptstyle DHT_{ref} = \text{calibrated AR reference midpoint}} \\[0.2em] {\scriptstyle \beta = \text{combined AR potency} = \alpha_{aff} \times \alpha_{res}} \\[0.2em] {\scriptstyle \alpha_{aff} = \text{AR binding affinity relative to T}} \\[0.2em] {\scriptstyle \alpha_{res} = \text{AR receptor residence time relative to T}} \\[0.2em] {\scriptstyle k = \text{paracrine amplification exponent (above } DHT_{ref}\text{)}} \end{gathered}

Powers your A:E ratio analysis

Incorporates DHT's ~10× androgen receptor potency and paracrine amplification — beyond T:E alone. Handles suppressed and elevated DHT non-linearly, producing a truer picture of total androgenic load.

Cardio-Metabolic Risk

The Cardio-Metabolic Cascade Model

\begin{gathered} \text{Cardio-Metabolic Risk Gate:} \\[0.3em] \Omega = \prod_{m \in \mathcal{M}} \mathbf{1}\!\left[\chi_m = \mathcal{C}_{\text{green}}\right] \\[0.8em] \mathcal{M} = \{\text{SBP},\; \text{DBP},\; \text{ApoB},\; \text{CRP},\; \text{BF\%},\; \text{HbA1c}\} \\[0.8em] \Psi = \mathbf{1}\!\left[\exists\, m \in \mathcal{M} : \sigma(\chi_m) \geq \sigma_{\text{red}}\right] \\[1.5em] \text{Dynamic Hematocrit Reference Bounds:} \\[0.3em] H_{\text{green}}^{*} = H_{\text{green}}^{\text{std}} + \Omega \cdot \Delta H_{\text{green}} \\[0.5em] H_{\text{amber}}^{*} = H_{\text{amber}}^{\text{std}} + \Omega \cdot \Delta H_{\text{amber}} \\[1.5em] \text{Full Cascade:} \\[0.3em] \mathcal{M} \;\xrightarrow{\;\Omega,\,\Psi\;}\; \left(H_{\text{green}}^{*},\, H_{\text{amber}}^{*}\right) \;\xrightarrow{\;f(\cdot)\;}\; \chi_{\text{Hct}} \;\xrightarrow{\;\sigma\text{-cap}\;}\; \chi_T \\[1.5em] {\scriptstyle \mathcal{M} = \text{set of six cardiovascular biomarkers}} \\[0.2em] {\scriptstyle \Omega = \text{elite CV gate} \;(\mathbf{1} \iff \forall\, m: \chi_m = \text{green})} \\[0.2em] {\scriptstyle \Psi = \text{red override flag} \;(\mathbf{1} \iff \exists\, m: \chi_m = \text{red})} \\[0.2em] {\scriptstyle H_{\text{green}}^{*},\, H_{\text{amber}}^{*} = \text{dynamic Hct upper bounds, gated by } \Omega} \\[0.2em] {\scriptstyle \Delta H_{\text{green}},\, \Delta H_{\text{amber}} = \text{elite threshold increments}} \\[0.2em] {\scriptstyle T_{\text{cap}}^{\text{low}},\, T_{\text{cap}}^{\text{high}} = \text{testosterone buffer zone boundaries}} \\[0.2em] {\scriptstyle \chi_T^{(0)} = \text{raw testosterone colour prior to cascade}} \end{gathered}

Powers your biomarker score & T range

Six markers — Blood Pressure, ApoB, CRP, Body Fat, HbA1c — cascade into your hematocrit threshold, which sets your personalised testosterone reference range. Lean, metabolically healthy users earn a higher ceiling.

Cream Absorption

Michaelis-Menten Saturation Model

\begin{gathered} \text{Michaelis-Menten absorption:} \\[0.8em] A = \dfrac{V_{\max} \cdot D}{K_m + D} \\[1.8em] \text{Ester effectiveness adjustment:} \\[0.8em] E = \dfrac{A}{\bar{\varepsilon}_{\,\text{cyp/enth}}} = \dfrac{1}{\bar{\varepsilon}_{\,\text{cyp/enth}}} \cdot \dfrac{V_{\max} \cdot D}{K_m + D} \\[1.8em] r_{\text{eff}}(D) = \dfrac{V_{\max}}{K_m + D} \longrightarrow 0 \quad \text{as} \quad D \to \infty \\[1.8em] \lim_{D \to 0}\, r_{\text{eff}} = \dfrac{V_{\max}}{K_m} \quad,\qquad E\big|_{D=K_m} = \dfrac{V_{\max}}{2\,\bar{\varepsilon}_{\,\text{cyp/enth}}} \\[1.8em] {\scriptstyle A = \text{mg testosterone base absorbed}} \\[0.2em] {\scriptstyle D = \text{weekly applied dose (mg/W)}} \\[0.2em] {\scriptstyle E = \text{injectable ester equivalent (mg/W)}} \\[0.2em] {\scriptstyle \bar{\varepsilon}_{\,\text{cyp/enth}} = \text{mean ester effectiveness}} \\[0.2em] {\scriptstyle V_{\max} = \text{site-specific absorption ceiling}} \\[0.2em] {\scriptstyle K_m = \text{site-specific half-saturation dose}} \\[0.2em] {\scriptstyle r_{\text{eff}} = \text{effective absorption rate}} \end{gathered}

Powers transdermal testosterone modelling

Cream absorption is non-linear — skin transport proteins and follicular shunts saturate at higher doses. Modelled with site-specific bioavailability for scrotum, abdomen, thighs, and shoulders.

Free Testosterone

Zakharov Nonlinear Allosteric Model

\begin{gathered} \text{Complete System Equation:} \\[0.3em] f([T]_{free}) = \\[0.5em] [T]_{total} - [T]_{free} - K_{alb}[Alb][T]_{free} - [SHBG]\dfrac{\alpha + 2\alpha\beta}{1 + 2\alpha + \alpha\beta} \\[1.2em] \text{SHBG Allosteric Binding:} \\[0.3em] \theta_{SHBG} = \dfrac{\alpha + 2\alpha\beta}{1 + 2\alpha + \alpha\beta} \\[0.5em] \alpha = K_{a1}[T]_{free}, \quad \beta = K_{a2}[T]_{free} \\[1.2em] \text{Newton-Raphson Solution:} \\[0.3em] [T]_{free}^{(n+1)} = [T]_{free}^{(n)} + \dfrac{f([T]_{free}^{(n)})}{f'([T]_{free}^{(n)})} \end{gathered}

Powers your Free T calculation

Reflects how SHBG dimers actually behave under elevated androgenic load. Significantly more accurate than Vermeulen — the population-level standard — at TRT and supraphysiological levels.

Notation simplified for display. Full derivations and parameters documented in the in-app knowledge base.

>Engine readout complete