Pith Number

pith:6TWTTX6S

pith:2026:6TWTTX6SOFZJGZEEUWGYU5I43Q

not attested not anchored not stored refs resolved

When is cumulative dose response monotonic? Analysis of incoherent feedforward motifs

Arthur C. B. de Oliveira, Eduardo D. Sontag, Moh Kamalul Wafi

Cumulative dose responses stay monotone in most incoherent feedforward motifs even when instantaneous responses do not.

arxiv:2604.01573 v2 · 2026-04-02 · math.DS · cs.SY · eess.SY

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\usepackage{pith}
\pithnumber{6TWTTX6SOFZJGZEEUWGYU5I43Q}

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4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

IFFM1 and IFFM3 exhibit monotone cDR despite potentially non-monotone DR, while IFFM2 is monotone already at the level of DR, which implies monotonicity of cDR. In contrast, IFFM4 violates these conditions, leading to a loss of monotonicity.

C2weakest assumption

The derivation assumes linear intermediate dynamics and nonlinear output dynamics together with structured initial conditions; the abstract states that numerical simulations indicate persistence beyond these conditions, but the analytic results rest on them.

C3one line summary

Derives an integral representation of cDR sensitivity and sufficient conditions for monotonicity in four canonical IFFM systems with linear intermediate and nonlinear output dynamics.

References

14 extracted · 14 resolved · 0 Pith anchors

[1] Homeostatic control of neural activity: From phenomenology to molecular design, 2006

[2] A dynamical model of immune responses to antigen presentation predicts different regions of tumor or pathogen elimination, 2017

[3] Perfect adaptation in biology, 2021

[4] Dynamic response phenotypes and model discrimination in systems and synthetic biology, 2025 · doi:10.22541/au.176790592.20368210/v1

[5] Alon, An introduction to systems biology 2006

Receipt and verification

First computed	2026-05-20T00:00:37.435594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4ed39dfd27172936484a58d8a751cdc3fb99d0e869adddbb9748eacb11f34a3

Aliases

arxiv: 2604.01573 · arxiv_version: 2604.01573v2 · doi: 10.48550/arxiv.2604.01573 · pith_short_12: 6TWTTX6SOFZJ · pith_short_16: 6TWTTX6SOFZJGZEE · pith_short_8: 6TWTTX6S

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/6TWTTX6SOFZJGZEEUWGYU5I43Q \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: f4ed39dfd27172936484a58d8a751cdc3fb99d0e869adddbb9748eacb11f34a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db9fb9049cb93c51838e9edcb633da43dfc7125822628d93483d126229fbd2eb",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-04-02T03:38:39Z",
    "title_canon_sha256": "bd3fd39079323d309e83ee7f604f73ad08c50c23852dc8530e986098e9e846dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.01573",
    "kind": "arxiv",
    "version": 2
  }
}