Scale turns possible into operationally never
Estimate the number of ideal-gas molecules in a room and the probability that every molecule occupies one specified half under the lecture’s simplified binary model.
Assumptions: ideal gas, ordinary pressure and temperature, two equal halves, independent left/right occupancy and a deliberately coarse macro-description. This is a teaching calculation, not a complete molecular simulation.
Remove the divider
Eighty particles begin on the left. Remove the divider and watch occupancy fluctuate around the overwhelmingly larger near-even region.
Every molecule carries its own colour, so the two rooms above make the distinction visible: the same 40 : 40 macrostate, two different microstates. Five molecules are ringed so you can follow those specific ones across the divider.
Homeostatic resilience
Change response speed, repair capacity and reserve. The graph shows how the same stress can lead to full recovery, delayed recovery or a permanently lower baseline.
State, rate and reserve
Two people can have the same state today and radically different futures. Model burden, rate of change and a failure threshold.
Illustrative units only. This model teaches trajectory and timing; it does not calculate personal disease risk.
The hallmarks network
Select a hallmark to reveal its role, common feedback partners and the kind of intervention that might target it.
Particle-years
Compare cumulative ApoB exposure under an unchanged trajectory versus earlier treatment. This is area-under-the-curve arithmetic—not an event-risk calculator.
“Particle-years” is a useful conceptual shorthand for cumulative ApoB burden. Actual ASCVD risk also depends on susceptibility, blood pressure, smoking, Lp(a), diabetes, kidney disease and existing plaque.
From purpose to proxy
Describe a system’s stated purpose, the proxy it rewards and the external cost it fails to price.
Pattern completion
Select a stored pattern, add noise, then recover the nearest attractor. The implementation uses nearest-pattern completion to teach the Hopfield intuition; it is not a complete neural simulation.