Persistence Dynamics

The study of the structural conditions under which living systems persist.

Two operations. Four regimes. One closure condition. The material changes. The shape does not.

Walk into a company that has been running for fifteen years and parts of it are still working the way they did at year three, while other parts have quietly broken. A trial protocol that read well on paper produces results no one can interpret. A relationship that survived a decade comes apart in three months. A cell that maintained its identity for years suddenly does not. Underneath all of these is the same question: what is running in something that persists, and what is missing when persistence fails.

Persistence Dynamics is the study of the structural conditions under which living systems persist. It identifies two operations every persisting system runs, four regimes those operations produce, and the closure condition that lets the whole cycle keep going. Anything that persists runs this cycle. Anything that fails fails at a specific position in it.

The two operations

A living system that persists is doing two things, at every scale it operates at. It is holding something, and it is crossing into something. The holding gathers. The crossing releases. A breath holds and releases. A team holds an option open and then commits. A cell holds a charge at its membrane and then fires.

Hold
spatial
Gather, contain, retain. The substrate is held in place while it accumulates what will later be released. Hold is spatial in nature: it is about where material sits, and how much.
Cross
temporal
Release, transmit, hand forward. The held material crosses into something else. Cross is temporal in nature: it is the moment of handover, with a before and an after.

Each operation has two states. It can be active (doing work right now) or latent (present but not doing work). Two operations, two states each, gives four combinations. Each combination is a regime.

The four regimes

The four regimes are not stages of a single process the way drafts of a document are stages of writing. They are four different things a system can be doing, and a system that persists has to do all four. Each regime produces what the next regime needs. None of the four can be skipped without the cycle breaking.

Potentiality

hold active · cross active
The system gathers. Material builds against a threshold. Below the threshold, nothing happens. Above it, everything that has accumulated releases at once. A lymph node loading antigen. A team gathering information before a decision. An unwritten manuscript. What is held is not yet committed. Fails when the system will not release, or releases before enough has gathered.

Construction

hold latent · cross active
The system selects and builds. Candidates are tested, one is chosen, the form is made. An immune clone expanding. A manuscript becoming a draft. A protocol being specified. What comes out is finished and ready to be put to use. Fails when selection never finishes, or when the chosen form does not fit what is needed.

Encounter

hold latent · cross latent
The built form meets what it was made for. The tumour. The market. The reader. The disease. This is where the work either lands or it does not. What matters here is reach more than strength: a single gap in coverage cancels gains made everywhere else. Fails when the meeting does not arrive, or arrives at the wrong target, or cannot end.

Conservation

hold active · cross latent
What survived the meeting is kept. What is finished is released. A memory cell. An institution preserving a method. A habit. What comes out is the material the next round of Potentiality will load. Conservation has two jobs: hold what worked, and let go of what is done. Fails when nothing is released, or when what should have been kept is dropped.

Why this order

The four regimes run in one sequence: Potentiality, Construction, Encounter, Conservation, back to Potentiality.

Each regime produces exactly what the next regime needs. Potentiality's release is what Construction's lines feed on. Construction's finished forms are what Encounter brings to the meeting. Encounter's outcomes are what Conservation stabilises and keeps. Conservation's released material is what Potentiality's next round loads. The order is forced from two directions at once: by how the two operations combine, and by what each regime produces matching what the next one needs.

The transitions between regimes are not gradual. Each is a threshold, a moment where one regime's work commits and the next begins. Four regimes, four thresholds. The thresholds are why the cycle is a cycle rather than a continuous slide.

The cycle closes

The four regimes are positions in a cycle that closes when what comes out of Conservation feeds back into Potentiality as the material for the next round.

Closure has a structural condition. A cycle that gives back what it received, and produces what the next cycle runs on, satisfies an equation with one positive solution:

the closure equationd² + d = 1 ⟹ d = 1/φ

The golden ratio is not chosen for aesthetics. It is the only number that lets a cycle both spend and renew without running down. The derivation, the φ-derived rate constants, and the single-number measurement (γT = L · ln φ) that tells you whether a real system is close to the structural form are written out on the math page.

The material changes. The shape does not. A cancer trial and an organisational restructure and a manuscript revision are not the same kind of thing. But each is a system trying to close a cycle, and the failure modes that show up in each have the same shape. A Construction that cannot finish selecting. An Encounter that does not arrive. A Conservation holding what should have been let go. The same operation, failing the same way, across very different materials.

PotentialityConstructionEncounterConservation

One full turn of the cycle. Sixteen positions in a ring, four per regime. Potentiality blue (top-left), Construction gold (top-right), Encounter red (bottom-right), Conservation russet (bottom-left). The next layer of structure inside each regime.

What we are building on

Persistence Dynamics applies to a specific class of things, the same class three twentieth-century thinkers had been circling from different sides.

In 1944, Erwin Schrödinger asked how living things hold their structure across time when everything else tends toward disorder. His answer was that they feed on order from their environment and release disorder back into it. They maintain themselves by moving, not by standing still.

In the 1970s, Ilya Prigogine gave the phenomenon a name and a mathematics. He called the structures that hold themselves together this way dissipative systems and won the Nobel Prize for it. A hurricane is one. A candle flame is one. A cell is one. A brain. A company. A career. Each exists only as long as energy and material keep flowing through it.

Around the same time, Humberto Maturana and Francisco Varela asked what makes a living thing recognisably alive, and answered: a system that continuously produces the components that produce it.

Three threads, one territory. What none of them had was the structural geometry of the cycle that runs inside such a system. That is what Persistence Dynamics names: the two operations, the four regimes, the closure condition. The cycle is not a theory added on top of dissipative systems. It is what a dissipative system is doing when you look at it closely enough to see the work.

What this is for

Persistence Dynamics produces a reading of any living system: which regime is currently loaded, which is building, which is meeting, which is handing off, and where the round is failing to close. The reading does not prescribe what to do. It names what is happening so the operator can decide where to act.

A clinician using Persistence Dynamics on a Phase III protocol sees the same four-position cycle as an organisational designer using it on a quarterly planning loop. The intervention is different because the material is different. The diagnosis follows the same logic because the cycle is the same. That is what makes the framework portable: anyone who picks it up can apply it to the system in front of them, and the reading will travel.

How this lab uses it

Encounter applies Persistence Dynamics to immuno-oncology trial design. Cancer cells run a cycle. Immune cells run a cycle. The drug that is supposed to connect them is itself a Construction output meeting an Encounter regime. Trial protocols can be read for which regime they assume is already running and which they treat as already in place. When the assumption is wrong, the result is predictable.

The clinical work is the test bed. If Persistence Dynamics cannot earn its place at the level of trial design, where the stakes are highest and the data is hardest, it does not have a place. The articles on this site are written from inside that test, not from above it.

For how a specific engagement is shaped around this, see the method page. The open notebook (predictions, structural reads, essays, papers) lives on the articles page.

Cite as: Persistence Dynamics (van der Klein, 2026), the study of the structural conditions under which living systems persist.

Get in touch.

  • You have a system that has stalled and want a second pair of eyes.
  • You're curious about the research process and want to know how we work.
  • You want to learn about Persistence Dynamics and where the framework applies.
contact@encounter.bio