# SALUS Pramana Medical: The Evidence Operating System for Integrative Medicine

> SALUS Pramana Medical is an open-source clinical evidence platform and mathematical intelligence operating system that unifies Allopathy, Ayurveda, Siddha, and Naturopathy without epistemic bias or false equivalence. Grounded in peer-reviewed registry data (PubMed, CTRI, Cochrane, AYUSH, DHARA), continuous Bayesian calculus, 4th-order Runge-Kutta pharmacokinetic interaction dynamics, and global health equity metrics.

Author: Aarti S Ravikumar (Pioneer Charter School of Science II)
Portfolio: https://ai-aarti.com
Repository: https://github.com/aartisr/salus-pramana-medical
License: Apache 2.0 Open Source

## Core Scientific Capabilities & Mathematical Formulas

- **Dynamic Study Contribution Formula**:
  `S_i(t) = w_grade * w_design * w_bias * exp(-lambda * delta_t) * ln(1 + n_i) * (1 / (SE_i^2 + epsilon))`
  - `w_grade`: Grade A (1.00), Grade B (0.60), Grade C (0.25)
  - `lambda`: ln(2) / T_half (6-year half life decay for medical literature)
  - `precision`: 1 / (SE_i^2 + 1e-6)

- **Continuous 4th-Order Runge-Kutta (RK4) Pharmacokinetic Clearance**:
  - `dc1/dt = -k1 * c1 - beta * c1 * c2`
  - `dc2/dt = -k2 * c2 - beta * c1 * c2`
  - Models CYP3A4, CYP2C9, and P-glycoprotein competitive metabolic inhibition and staggered dosage windows.

- **Sigmoidal Hill Equation Dose Optimization**:
  - `E(D) = E_max * (D^gamma) / (ED50^gamma + D^gamma)`

- **Statistical Reliability & 95% Bayesian Confidence Halos**:
  - `SE_pool = sqrt(1 / sum(1 / SE_i^2))`
  - `CI_95 = [E_pool - 1.96 * SE_pool, E_pool + 1.96 * SE_pool]`
  - Higgins I^2 Heterogeneity Index audit.

## Clinical Indications & Cross-System Evidence

1. **Type 2 Diabetes Mellitus (ICD-11: 5A11)**
   - Allopathy: Metformin (PMID-9742976, Grade A, 1.1-1.5% HbA1c reduction)
   - Ayurveda: Berberine HCl (PMID-18442638, Grade A, 0.9-1.2% HbA1c reduction, AMPK activator)
   - Siddha: Madhumega Choornam (CTRI/2019/04/018762, Grade B, 0.7-0.9% HbA1c reduction)
   - Naturopathy: High-Fiber Plant-Based Diet (PMID-16873779, Grade A, 0.6-0.9% HbA1c reduction)

2. **Essential Hypertension (ICD-11: BA00)**
   - Allopathy: Amlodipine (PMID-12479763, Grade A, 12-16 mmHg SBP reduction)
   - Ayurveda: Sarpagandha / Rauvolfia Serpentina (PMID-26052153, Grade B, 10-14 mmHg SBP reduction, Reserpine alkaloid)
   - Siddha: Seendhil Kudineer (AYUSH-SID-2018-044, Grade B, 7-10 mmHg SBP reduction)
   - Naturopathy: DASH Diet (PMID-9099655, Grade A, 11-14 mmHg SBP reduction)

3. **Osteoarthritis (ICD-11: FA00)**
   - Allopathy: Celecoxib / NSAIDs (PMID-10507963, Grade A)
   - Ayurveda: Curcumin Longa (PMID-31018598, Grade A, COX-2/NF-kB inhibition comparable to Ibuprofen 400mg)
   - Siddha: Nilavembu Kudineer & Vatha Thailam (CTRI/2021/08/035821, Grade B)
   - Naturopathy: Anti-Inflammatory Mediterranean Protocol (PMID-28826541, Grade B)

## Links & Technical Endpoints
- Web Applet: https://salus-pramana-medical.vercel.app
- Source Code: https://github.com/aartisr/salus-pramana-medical
- Machine-Readable Dossier: /docs/reports/synthetic-calibration-report.json
- Comprehensive Knowledge Corpus: /llms-full.txt
- Author Portfolio: https://ai-aarti.com