Evidence map›Paper›PMID 35796898›Full record

ArticleJournal of mathematical biology2022

Tumor growth towards lower extracellular matrix conductivity regions under Darcy's Law and steady morphology.

Xiaoming Zheng, Kun Zhao, Trachette Jackson, John Lowengrub

Abstract read
In one paragraph

Article in Journal of mathematical biology, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.

0numbers the graph read from it
0cells of the map it votes in
1citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

1 citing paper in PubMed.

  1. Review
4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

4 authors.

Xiaoming ZhengDepartment of Mathematics, Central Michigan University, Mount Pleasant, MI, 48858, USA. zheng1x@cmich.edu.ORCID 0000-0003-0941-9089
Kun ZhaoDepartment of Mathematics, Tulane University, New Orleans, LA, 70118, USA.
Trachette JacksonDepartment of Mathematics, University of Michigan, Ann Arbor, MI, 48109, USA.
John LowengrubDepartment of Mathematics, University of California, Irvine, CA, 92697, USA.

Funding

Univ.of Calif., Irvine Cancer Center Support GrantP30CA062203 · NCI · UNIVERSITY OF CALIFORNIA-IRVINE · PI Christine Hui · 1994 to 2026
$57.9M
Shared Resource Core: Single Cell AnalysisU54CA217378 · NCI · UNIVERSITY OF CALIFORNIA-IRVINE · PI LANDER, ARTHUR D · 2018 to 2022
$9.7M
Multiscale Computational Models Guided By Emerging Cellular Dynamics Quantification For Predicting Optimum Immune Checkpoint And Targeted Therapy SchedulesU01CA243075 · NCI · UNIVERSITY OF MICHIGAN AT ANN ARBOR · PI JACKSON, TRACHETTE · 2020 to 2024
$2.6M
NCI NIH HHS P30 CA062203NCI NIH HHS U01 CA243075NCI NIH HHS U54 CA217378
6 · The paper itself

Abstract

We study a classic Darcy's law model for tumor cell motion with inhomogeneous and isotropic conductivity. The tumor cells are assumed to be a constant density fluid flowing through porous extracellular matrix (ECM). The ECM is assumed to be rigid and motionless with constant porosity. One and two dimensional simulations show that the tumor mass grows from high to low conductivity regions when the tumor morphology is steady. In the one-dimensional case, we proved that when the tumor size is steady, the tumor grows towards lower conductivity regions. We conclude that this phenomenon is produced by the coupling of a special inward flow pattern in the steady tumor and Darcy's law which gives faster flow speed in higher conductivity regions.

Indexed as

NeoplasmsElectric ConductivityExtracellular MatrixHumansPorosityDarcy’s lawInhomogeneous conductivityPorous ECMSteady morphologyTumor growth

Identifiers

PMID35796898
PMCPMC9968407

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Registered trials

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.