Evidence map›Paper›PMID 37008889›Full record

ArticleJournal of mathematical analysis and applications2022

Hopf bifurcation without parameters in deterministic and stochastic modeling of cancer virotherapy, part II.

Tuan Anh Phan, Jianjun Paul Tian

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In one paragraph

Article in Journal of mathematical analysis and applications, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.

0numbers the graph read from it
0cells of the map it votes in
3citing 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

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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

3 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

2 authors.

Tuan Anh PhanInstitute for Modeling Collaboration and Innovation, The University of Idaho, Moscow, Idaho 83844, USA.
Jianjun Paul TianDepartment of Mathematical Sciences, New Mexico State University, Las Cruces, NM 88001, USA.

Funding

Sequence-structure-function relationships in human visual photopigmentsP20GM104420 · NIGMS · UNIVERSITY OF IDAHO · PI VAN LEUVEN, JAMES · 2015 to 2024
$22.9M
Undergraduate Student Training in Cancer ResearchU54CA132383 · NCI · NEW MEXICO STATE UNIVERSITY LAS CRUCES · PI MICHELE Irene SHUSTER · 2007 to 2026
$21.4M
NCI NIH HHS U54 CA132383NIGMS NIH HHS P20 GM104420
6 · The paper itself

Abstract

In part II, we analyze our stochastic model which incorporates microenvironmental noises and uncertainties related to immune responses. Outcomes of the therapy in our model are largely determined by the infectivity constant, the infection value, and stochastic relative immune clearance rates. The infection value is a universal critical value for immune-free ergodic invariant probability measures and persistence in all cases. Asymptotic behaviors of the stochastic model are similar to those of its deterministic counterpart. Our stochastic model displays an interesting dynamical behavior, stochastic Hopf bifurcation without parameters, which is a new phenomenon. We perform numerical study to demonstrate how stochastic Hopf bifurcation without parameters occurs. In addition, we give biological implications about our analytical results in stochastic setting versus deterministic setting.

Indexed as

Ergodic invariant probability measureExponential ergodicityHormander’s theoremInfection valueStochastic Hopf bifurcation without parametersStochastic Lyapunov exponent

Identifiers

PMID37008889
PMCPMC10062412

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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.