<?xml version="1.0" encoding="UTF-8" standalone="yes"?><?xml-stylesheet type="text/xsl" href="/oai-pmh-repository/static/oai2.xsl"?>
<OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd">
    <responseDate>2026-10-15T21:07:01Z</responseDate>
    <request verb="GetRecord" identifier="oai:data.mendeley.com/6vjy4wjsr6.1" metadataPrefix="oai_dc">https://data.mendeley.com/oai</request>
    <GetRecord>
        <record>
            <header>
                <identifier>oai:data.mendeley.com/6vjy4wjsr6.1</identifier>
                <datestamp>2026-09-08T08:09:31Z</datestamp>
            </header>
            <metadata><oai_dc:dc xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
    <dc:creator id="https://orcid.org/0009-0009-0857-7561">LYU, GUIYING</dc:creator>
    <dc:title>Reproducibility package for: Constructive Parameter Fibers and Minimal Outputs for Mammillary Compartment Models</dc:title>
    <dc:publisher>Mendeley Data</dc:publisher>
    <dc:description>Reproducibility package for the paper “Constructive Parameter Fibers and Minimal Outputs for Mammillary Compartment Models” (Guiying Lyu, Hongyu Cao, Ahmad Yahya Dawod).

This archive contains all Python/Anaconda source code, exact computational certificates, generated data, and figures that support the manuscript. No empirical or patient data are included. The computations serve as reproducibility and falsification checks; the mathematical proofs in the paper are independent of the code.

The package verifies:
• closed-form input–output polynomials;
• explicit one-output rational parameter fibers;
• multi-output constructive inverse maps and permutation ambiguity;
• predicted finite-field Jacobian ranks;
• exact small-n (n = 4,5,6) forward/reverse fiber coverage and collision limits;
• the six-compartment in-silico tracer example (liver, kidney, muscle, adipose) together with its two figures.

A total of 241 algebraic and Jacobian-rank checks are reported in the manuscript; three additional exact statements support the biological illustration. All algebraic checks use exact rational arithmetic or finite fields. Floating-point arithmetic is used only for trajectory visualization.

How to reproduce:
conda env create -f environment.yml
conda activate jca-mammillary
python run_certificate.py

Alternatively:
python -m venv .venv
python -m pip install -r requirements.txt
python run_certificate.py

Successful completion is indicated by “all_checks_passed”: true in output/data/computational_certificate.json. The full suite normally finishes in a few seconds on a standard CPU and requires no proprietary computer-algebra system, GPU, network access, or external data.

Licenses: source code under MIT; data, certificates, figures and documentation under CC BY 4.0.</dc:description>
    <dc:subject>Computer Science</dc:subject>
    <dc:subject>Mathematics</dc:subject>
    <dc:subject>Computational Mathematics</dc:subject>
    <dc:subject>Applied Mathematics</dc:subject>
    <dc:subject>Bioinformatics</dc:subject>
    <dc:subject>Systems Biology</dc:subject>
    <dc:contributor id="https://orcid.org/0009-0001-7086-3624">Cao, Hongyu</dc:contributor>
    <dc:type>Dataset</dc:type>
    <dc:identifier>doi:10.17632/6vjy4wjsr6.1</dc:identifier>
    <dc:identifier>oai:data.mendeley.com/6vjy4wjsr6.1</dc:identifier>
    <dc:rights>Creative Commons Attribution 4.0 International</dc:rights>
    <dc:rights>http://creativecommons.org/licenses/by/4.0</dc:rights>
    <dc:relation>https://data.mendeley.com/datasets/6vjy4wjsr6</dc:relation>
    <dc:date>2026-09-08T08:09:31Z</dc:date>
</oai_dc:dc></metadata>
        </record>
    </GetRecord>
</OAI-PMH>
