{
  "abstract": "Spatial reception under directed molecule transport requires balancing useful molecule capture against intersymbol interference (ISI). To characterize this balance, we study a fully absorbing spherical receiver that counts absorption events only within a prescribed cap. Using the known joint first-hitting law under aligned drift, we derive exact cap impulse, cumulative, and eventual responses. We perform stable cumulative evaluation. We then assess the derived responses through particle simulations and time-step comparisons, and demonstrate that our conditional-timing analysis explains when opposite drifts of equal magnitude can favor the same wider aperture. We also show that for the studied geometry and a symbol duration of $0.15$ s, the aperture that maximizes the signal-to-interference difference (SID) increases from $29.13^\\circ$ at zero drift to $61.86^\\circ$ at a drift magnitude of $40$ $μ$m/s. These results (i) connect joint arrival-time and location statistics to spatial reception design, (ii) characterize the tradeoff between useful molecule capture and ISI, (iii) support SID-based aperture selection for a given drift and symbol duration, and (iv) quantify the SID loss incurred by retaining the zero-drift optimal aperture for the same symbol duration.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.20233",
  "author_total": 3,
  "authors": [
    {
      "name": "Yen-Chi Lee"
    },
    {
      "name": "Chun-An Yang"
    },
    {
      "name": "Nan Yang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/14rpvtpfa9sne.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.20233",
  "fulltext_url": null,
  "id": "14rpvtpfa9sne",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.20233",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.ET"
    ],
    [
      "arxiv",
      "cs.IT"
    ],
    [
      "arxiv",
      "eess.SP"
    ],
    [
      "arxiv",
      "math.IT"
    ],
    [
      "openalex",
      "2204|Molecular Communication and Nanonetworks"
    ]
  ],
  "openalex": "W7222188514",
  "pdf_url": "https://arxiv.org/pdf/2610.20233",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/14rpvtpfa9sne.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:35Z",
      "native_id": "2610.20233",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.20233"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.IT",
      "subfield": "general"
    }
  ],
  "title": "Exact Cap Response and Aperture Selection for Molecular Communication under Aligned Drift",
  "title_text": "Exact Cap Response and Aperture Selection for Molecular Communication under Aligned Drift",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:35Z",
  "url": "https://research.draconitic.com/paper/14rpvtpfa9sne",
  "venue": "arXiv",
  "versions": []
}