Pith Number

pith:3BZLIVTY

pith:2026:3BZLIVTYXTXPS45YY7H6EWCGJS

not attested not anchored not stored refs resolved

Dynamical Theory of Elastic Synchronization of Cardiomyocytes

Akinari Tomiie, Nariya Uchida

Elastic interactions through the substrate make two cardiomyocytes synchronize to in-phase or anti-phase beating depending on their mutual orientation.

arxiv:2604.13391 v3 · 2026-04-15 · cond-mat.soft · nlin.AO

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\usepackage{pith}
\pithnumber{3BZLIVTYXTXPS45YY7H6EWCGJS}

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2 Internet Archive

3 Author claim open · sign in to claim

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

Using phase reduction theory, supported by direct numerical simulations, we obtain a dynamical phase description for two cardiomyocytes that predicts geometry-dependent selection of synchronized states. Depending on the mutual orientation, the cells robustly converge to either in-phase or anti-phase beating, yielding an orientation-dependent state map with a nontrivial state boundary.

C2weakest assumption

Each cardiomyocyte can be accurately modeled as an oscillating force dipole governed by a Rayleigh-type equation whose effective mechanical coupling is derived solely from the linear elastic response of the surrounding medium.

C3one line summary

A phase-reduced model of elastic coupling between cardiomyocyte force dipoles predicts orientation-dependent selection of in-phase or anti-phase synchronized states with distance-dependent synchronization times.

References

20 extracted · 20 resolved · 0 Pith anchors

[1] D. M. Bers: Nature415(2002) 198 2002

[2] Y. Haraguchi, T. Shimizu, M. Yamato, A. Kikuchi, and T. Okano: Biomaterials27(2006) 4765 2006

[3] X. Tang, P. Bajaj, R. Bashir, and T. A. Saif: Soft Matter7(2011) 6151 2011

[4] I. Nitsan, S. Drori, Y. E. Lewis, S. Cohen, and S. Tzlil: Nat. Phys.12(2016) 472 2016

[5] T. Nakano, K. Sato, S. Ito, et al.: Sci. Rep.11(2021) 14944 2021

Receipt and verification

First computed	2026-06-05T01:14:38.543550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d872b45678bceef973b8c7cfe258464cab23fdf66d7e381fcc3e1973d2d5c817

Aliases

arxiv: 2604.13391 · arxiv_version: 2604.13391v3 · doi: 10.48550/arxiv.2604.13391 · pith_short_12: 3BZLIVTYXTXP · pith_short_16: 3BZLIVTYXTXPS45Y · pith_short_8: 3BZLIVTY

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/3BZLIVTYXTXPS45YY7H6EWCGJS \
  | 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: d872b45678bceef973b8c7cfe258464cab23fdf66d7e381fcc3e1973d2d5c817

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd71a4d8dad9ef8e54b920f40e015642683a60de57c535991144c1c8688a1cab",
    "cross_cats_sorted": [
      "nlin.AO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2026-04-15T01:42:59Z",
    "title_canon_sha256": "6f1967e12d190cdf71a007106ac2a95ccfe95e5f9a4354c5ce39400e9006ad94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.13391",
    "kind": "arxiv",
    "version": 3
  }
}