02 chapters
Phase 1: Disease Modeling (Theory - Disease → Signs)¶
Model body parts geometrically (e.g., tooth structure, layers).
Theory = (Geometry)
axiom = every anatomy is shape,every shape is a geometry
Assign location to spatial coordinates to anatomical structures.
(Coordinate Geometry)
Map relationships across body systems (e.g., tooth to bone to lymphatics).
(Graph Theory)
4 - Establish Pathophysiology Function
Define how disease alters normal function dynamically.
(Control Theory)
5 - Trace Dysfunction Progression
Model how pathology spreads across time and systems.
(logic circuits)
one goes to another
6 - Integrate Temporal Evolution
Model how diseases evolve over time (acute → chronic transitions).
(Markov Chains)
Define fuzzy boundaries between healthy and pathological zones.
(Fuzzy Logic)
8 - Detect Clinical Manifestations
Map internal dysfunctions to observable signs and symptoms.
(Pattern Recognition)
deviation from normal function leads to new functions
Phase 2: Diagnosis (Reverse Reasoning - Signs → Disease)¶
Structure signs, symptoms, and findings into logical sets.
(Set Theory)
10 - Handle Data Uncertainty and Incompleteness
Account for missing, noisy, or contradictory clinical information.
(Probability Theory)
11 - Compare with Known Patterns
Match patient presentation with known disease models.
(Vector Space Model)
12 - Generate Probabilistic Outcomes
Calculate probabilities for each possible diagnosis.
(Bayesian Inference)
13 - Apply Logical Rules and Heuristic Shortcuts
Combine formal rules and quick heuristic patterns ("clinical intuition").
(Logic)
14 - Compute Diagnostic Function
Integrate all data into a final working diagnosis.
(Function Mapping)
Phase 3: Treatment and Dynamic Correction¶
15 - Initiate Treatment Pathway
Start standard treatment plans based on diagnosis.
(Algorithm Design)
Ensure patient rights, dignity, informed consent guide decisions.
(Deontic Logic)
Balance effectiveness, risks, side effects, patient desires.
(Optimization Theory)
18 - Handle Multilateral Decisions
Manage conflicts between options, specialties, or patient wishes.
(Game Theory)
Monitor outcomes, modify treatments based on patient response.
(Feedback Loops)
20 - Evaluate Post-Treatment Effects
Compare final patient state to expected goals.
(Outcome Analysis)
Here is your full 20-step framework reformatted into clean, copy-paste-ready Markdown with Theory, Axiom, and optional Implication for each step:
Phase 1: Disease Modeling (Theory - Disease → Signs)
1 - Anatomical Abstraction
Theory: Geometry Axiom: Every anatomical structure has a definable shape. Every shape can be described using geometry. Implication: Body parts can be modeled as geometric primitives (points, lines, surfaces, volumes).
2 - Spatial Anchoring
Theory: Coordinate Geometry Axiom: Every anatomical location can be mapped to a coordinate space. Implication: The body becomes a navigable 3D spatial model.
3 - Cross-System Mapping
Theory: Graph Theory Axiom: Biological systems are composed of interconnected nodes (organs) and edges (pathways). Implication: Multisystem relationships can be mapped as networks.
4 - Establish Pathophysiology Function
Theory: Control Theory Axiom: Normal physiological processes follow regulatory feedback mechanisms. Disease disrupts these functions. Implication: Dysregulation can be modeled as deviation from controlled system behavior.
5 - Trace Dysfunction Progression
Theory: Logic Circuits Axiom: Functional breakdown follows logical sequences and gate-like pathways. Implication: Dysfunction propagation can be traced through logical transitions.
6 - Integrate Temporal Evolution
Theory: Markov Chains Axiom: Disease states evolve over time with probabilistic transitions between stages. Implication: Predictive modeling of disease trajectory is possible.
7 - Segment Pathology Zones
Theory: Fuzzy Logic Axiom: Boundaries between health and pathology are continuous, not binary. Implication: Diagnostic zones can be fuzzy sets rather than discrete regions.
8 - Detect Clinical Manifestations
Theory: Pattern Recognition Axiom: Observable signs and symptoms are manifestations of internal dysfunction patterns. Implication: Surface-level symptoms can be mapped to deeper causes.
Phase 2: Diagnosis (Reverse Reasoning - Signs → Disease)
9 - Encode Patient Data
Theory: Set Theory Axiom: Clinical data can be grouped into well-defined sets of signs, symptoms, and findings. Implication: Patient profiles can be analyzed using set operations.
10 - Handle Data Uncertainty and Incompleteness
Theory: Probability Theory Axiom: Clinical data contains inherent uncertainty and incompleteness that can be modeled probabilistically. Implication: Inference under uncertainty becomes possible.
11 - Compare with Known Patterns
Theory: Vector Space Model Axiom: Diseases and patient data can be represented as vectors in a multidimensional space. Implication: Similarity can be computed using vector metrics (e.g., cosine similarity).
12 - Generate Probabilistic Outcomes
Theory: Bayesian Inference Axiom: Diagnostic certainty can be updated with new evidence using prior knowledge. Implication: Probability of diseases can be refined dynamically.
13 - Apply Logical Rules and Heuristic Shortcuts
Theory: Logic Axiom: Clinical reasoning combines formal logic with experience-driven heuristics. Implication: Diagnostic shortcuts and structured algorithms coexist.
14 - Compute Diagnostic Function
Theory: Function Mapping Axiom: A diagnostic system maps a set of inputs (signs, symptoms) to a defined output (disease). Implication: Diagnosis can be treated as a computable function.
Phase 3: Treatment and Dynamic Correction
15 - Initiate Treatment Pathway
Theory: Algorithm Design Axiom: Treatments can be structured as stepwise algorithms responding to disease states. Implication: Care pathways can be standardized and executed programmatically.
16 - Apply Ethical Reasoning
Theory: Deontic Logic Axiom: Ethical principles can be formalized as logical obligations, permissions, and prohibitions. Implication: Decision-making must be constrained by ethical constraints.
17 - Optimize Treatment Plan
Theory: Optimization Theory Axiom: The best treatment minimizes harm and maximizes benefit under constraints. Implication: Therapeutic decisions can be framed as optimization problems.
18 - Handle Multilateral Decisions
Theory: Game Theory Axiom: Treatment involves decisions by multiple agents (doctor, patient, specialists) with competing interests. Implication: Collaborative strategies must consider all stakeholder payoffs.
19 - Adapt Plan Dynamically
Theory: Feedback Loops Axiom: Continuous monitoring allows treatment to adjust based on outcomes. Implication: Therapy becomes a real-time control system.
20 - Evaluate Post-Treatment Effects
Theory: Outcome Analysis Axiom: Clinical success is measurable as deviation from expected outcome goals. Implication: Treatment success can be quantitatively assessed.
Let me know if you’d like this in a downloadable .md file or want a visual chart or PDF version of this axiom-theory-process map.