Matches in SemOpenAlex for { <https://semopenalex.org/work/W3046219401> ?p ?o ?g. }
Showing items 1 to 82 of
82
with 100 items per page.
- W3046219401 endingPage "10592" @default.
- W3046219401 startingPage "10578" @default.
- W3046219401 abstract "Understanding the biological principles that govern blood vessel growth in the retina has important clinical implications, for the prevention of possible retinopathies, which may eventually lead to blindness. The availability of a realistic mathematical model of the relevant phenomenon may support the medical community in both issues, diagnosis being related to inverse problems, and therapy to optimal control strategies. The mathematical modeling of retinal angiogenesis leads to an highly complex problem, because of dimension, nonlinearity, and intrinsic randomness. In this paper, we propose a reduced model which leads to numerical simulations that somehow reproduce normal vascularization and predict possible pathologies. We call our model hybrid because it includes the coupling of a fully stochastic model for the construction of a vessel network in the retina, with continuum underlying fields describing relevant factors, such as growth factors and oxygen. We perform numerical simulations of a stochastic particle system coupled with partial differential equations (PDEs)' so to obtain images of vessel structure resembling real retina vasculatures. We then derive a possible mean field approximation of the stochastic vessel network, so to obtain a fully deterministic PDE system for the evolution of the underlying fields. Actually, in order to reproduce the geometric structure of the retina vessel network, we have to keep a stochastic model (though simplified) for its construction. Future investigations may concern the use of such a mean field approximation in the numerical simulations of the retina vasculature. Inverse and optimal control problems being the final goal of our research plan." @default.
- W3046219401 created "2020-08-03" @default.
- W3046219401 creator A5002861026 @default.
- W3046219401 creator A5028359267 @default.
- W3046219401 date "2020-07-26" @default.
- W3046219401 modified "2023-10-01" @default.
- W3046219401 title "A hybrid stochastic model of retinal angiogenesis" @default.
- W3046219401 cites W1731074416 @default.
- W3046219401 cites W1976042069 @default.
- W3046219401 cites W1978612261 @default.
- W3046219401 cites W1992159395 @default.
- W3046219401 cites W2009913017 @default.
- W3046219401 cites W2018555727 @default.
- W3046219401 cites W2018589752 @default.
- W3046219401 cites W2028727118 @default.
- W3046219401 cites W2044979535 @default.
- W3046219401 cites W206086817 @default.
- W3046219401 cites W2067489256 @default.
- W3046219401 cites W2069407098 @default.
- W3046219401 cites W2073243845 @default.
- W3046219401 cites W2081207514 @default.
- W3046219401 cites W2099194598 @default.
- W3046219401 cites W2112251383 @default.
- W3046219401 cites W2125294887 @default.
- W3046219401 cites W2132985539 @default.
- W3046219401 cites W2133375566 @default.
- W3046219401 cites W22526216 @default.
- W3046219401 cites W22609849 @default.
- W3046219401 cites W2738261991 @default.
- W3046219401 cites W2963236466 @default.
- W3046219401 doi "https://doi.org/10.1002/mma.6725" @default.
- W3046219401 hasPublicationYear "2020" @default.
- W3046219401 type Work @default.
- W3046219401 sameAs 3046219401 @default.
- W3046219401 citedByCount "4" @default.
- W3046219401 countsByYear W30462194012021 @default.
- W3046219401 countsByYear W30462194012022 @default.
- W3046219401 countsByYear W30462194012023 @default.
- W3046219401 crossrefType "journal-article" @default.
- W3046219401 hasAuthorship W3046219401A5002861026 @default.
- W3046219401 hasAuthorship W3046219401A5028359267 @default.
- W3046219401 hasConcept C105795698 @default.
- W3046219401 hasConcept C125112378 @default.
- W3046219401 hasConcept C126255220 @default.
- W3046219401 hasConcept C134306372 @default.
- W3046219401 hasConcept C28826006 @default.
- W3046219401 hasConcept C33923547 @default.
- W3046219401 hasConcept C41008148 @default.
- W3046219401 hasConcept C51955184 @default.
- W3046219401 hasConcept C93779851 @default.
- W3046219401 hasConceptScore W3046219401C105795698 @default.
- W3046219401 hasConceptScore W3046219401C125112378 @default.
- W3046219401 hasConceptScore W3046219401C126255220 @default.
- W3046219401 hasConceptScore W3046219401C134306372 @default.
- W3046219401 hasConceptScore W3046219401C28826006 @default.
- W3046219401 hasConceptScore W3046219401C33923547 @default.
- W3046219401 hasConceptScore W3046219401C41008148 @default.
- W3046219401 hasConceptScore W3046219401C51955184 @default.
- W3046219401 hasConceptScore W3046219401C93779851 @default.
- W3046219401 hasFunder F4320306164 @default.
- W3046219401 hasFunder F4320322511 @default.
- W3046219401 hasIssue "18" @default.
- W3046219401 hasLocation W30462194011 @default.
- W3046219401 hasOpenAccess W3046219401 @default.
- W3046219401 hasPrimaryLocation W30462194011 @default.
- W3046219401 hasRelatedWork W1971409705 @default.
- W3046219401 hasRelatedWork W1985290679 @default.
- W3046219401 hasRelatedWork W2019251616 @default.
- W3046219401 hasRelatedWork W2063054846 @default.
- W3046219401 hasRelatedWork W2106955402 @default.
- W3046219401 hasRelatedWork W2369985426 @default.
- W3046219401 hasRelatedWork W2621281703 @default.
- W3046219401 hasRelatedWork W2805915852 @default.
- W3046219401 hasRelatedWork W2965068308 @default.
- W3046219401 hasRelatedWork W3048358024 @default.
- W3046219401 hasVolume "43" @default.
- W3046219401 isParatext "false" @default.
- W3046219401 isRetracted "false" @default.
- W3046219401 magId "3046219401" @default.
- W3046219401 workType "article" @default.