Biology examples and the TriadicFrameworks resonance model

These examples show how the Nawderian theorem and the TriadicFrameworks stack can be applied to biological systems: cell growth, protein folding, neural activity, and population dynamics.

Each file in this folder has a specific purpose:

• problems.md – Core 3 story problems introducing resonance-time and triadic operators in biological contexts.
• solutions.md – Worked solutions corresponding to the core problems.
• extended_problems.md – Additional, more advanced biology problems (multi-triad coupling, feedback, and regulatory effects).
• resonance_flow.md – Conceptual and ASCII-friendly diagrams of resonance flows in biological systems.

Core mathematical objects used in these examples:

• Resonant-time: $$τ_r$$
• Triadic operators: $$D_3, D_6, D_9$$
• Frequency elevation: $$T_f$$
• Emitter constant: $$F_3$$
• Temperature/environment coupling: $$ΛΘ$$
• Composite constant: $$X = F_3 \cdot T_f$$

The goal is to help Biology students see cell populations, molecular states, and neural circuits as resonance-based systems that can be described using the same framework applied in physics and engineering.