Evidence map›Paper›PMID 32335708›Full record

ArticleJournal of mathematical biology2020

Parameter estimation for a point-source diffusion-decay morphogen model.

Mark B Flegg, Mario A Muñoz, Kate Smith-Miles, Wai Shan Yuen, Jennifer A Flegg, John G Carroll

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Article in Journal of mathematical biology, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.

0numbers the graph read from it
0cells of the map it votes in
2citing 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

2 citing papers in PubMed.

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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

6 authors.

Mark B FleggSchool of Mathematical Sciences, Monash University, Clayton, Australia. mark.flegg@monash.edu.
Mario A MuñozSchool of Mathematics and Statistics, University of Melbourne, Parkville, Australia.
Kate Smith-MilesSchool of Mathematics and Statistics, University of Melbourne, Parkville, Australia.
Wai Shan YuenMonash Biomedicine Discovery Institute, Monash University, Clayton, Australia.
Jennifer A FleggSchool of Mathematics and Statistics, University of Melbourne, Parkville, Australia.
John G CarrollMonash Biomedicine Discovery Institute, Monash University, Clayton, Australia.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

In this paper we present a novel method for finding unknown parameters for an unknown morphogen. We postulate the existence of an unknown morphogen in a given three-dimensional domain due to the spontaneous arrangement of a downstream species on the domain boundary for which data is known. Assuming a modified Helmholtz model for the morphogen and that it is produced from a single source in the domain, our method accurately estimates the source location and other model parameters. Notably, our method does not require the forward solution of the model to be computed which can often be a challenge for three-dimensional PDE model parameter fitting. Instead, an extension is made from the problem domain to an infinite domain and the analytic nature of the fundamental solution is exploited. We explore in this manuscript strategies for best conditioning the problem and rigorously explore the accuracy of the method on two test problems. Our tests focus on the effect of source location on accuracy but also the robustness of the algorithm to experimental noise.

Indexed as

Models, BiologicalAlgorithmsAnimalsMathematical ConceptsMorphogenesisSignal TransductionInverse problemModified Helmholtz equationMorphogenParameter fitting

Identifiers

PMID32335708

What OpenQuestion holds

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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.