Maximum Likelihood Estimation of a Time-Inhomogeneous Stochastic Differential Model of Glucose Dynamics (Articolo in rivista)

Type

• Prodotto della ricerca (Classe)
• Articolo in rivista (Classe)

Label

• Maximum Likelihood Estimation of a Time-Inhomogeneous Stochastic Differential Model of Glucose Dynamics (Articolo in rivista) (literal)

Anno

• 2008-01-01T00:00:00+01:00 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi

• 10.1093/imammb/dqn011 (literal)

Alternative label

• Picchini, U.; Ditlevsen, S.; De Gaetano, A. (2008)
  Maximum Likelihood Estimation of a Time-Inhomogeneous Stochastic Differential Model of Glucose Dynamics
  in Mathematical medicine and biology (Online)
  (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori

• Picchini, U.; Ditlevsen, S.; De Gaetano, A. (literal)

Pagina inizio

• 141 (literal)

Pagina fine

• 155 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url

• http://imammb.oxfordjournals.org/content/25/2/141.abstract (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume

• 25 (literal)

Rivista

• Mathematical medicine and biology (Rivista)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali

• 14 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo

• - (literal)

Note

• ISI Web of Science (WOS) (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni

• Picchini, U.; Ditlevsen, S.; De Gaetano, A. (literal)

Titolo

• Maximum Likelihood Estimation of a Time-Inhomogeneous Stochastic Differential Model of Glucose Dynamics (literal)

Abstract

• Stochastic differential equations (SDEs) are assuming an important role in the definition of dynamical models allowing for explanation of internal variability (stochastic noise). SDE models are well established in many fields, such as investment finance, population dynamics, polymer dynamics, hydrology and neuronal models. The metabolism of glucose and insulin has not yet received much attention from SDE modellers, except from a few recent contributions, because of methodological and implementation difficulties in estimating SDE parameters. Here, we propose a new SDE model for the dynamics of glycemia during a euglycemic hyperinsulinemic clamp experiment, introducing system noise in tissue glucose uptake and apply for its estimation a closed-form Hermite expansion of the transition densities of the solution process. The present work estimates the new model parameters using a computationally efficient approximate maximum likelihood approach. By comparison with other currently used methods, the estimation process is very fast, obviating the need to use clusters or expensive mainframes to obtain the quick answers needed for everyday iterative modelling. Furthermore, it can introduce the demonstrably essential concept of system noise in this branch of physiological modelling. (literal)

Prodotto di

• Modelli e Metodi Matematici in Fisiopatologia (ME.P06.002.001) (Modulo)
• Istituto di analisi dei sistemi ed informatica \"Antonio Ruberti\" (IASI) (Istituto)

Autore CNR

• UMBERTO PICCHINI (Persona)
• ANDREA DE GAETANO (Unità di personale interno)
• SUSANNE DITLEVSEN (Unità di personale esterno)

Insieme di parole chiave

• Keywords of "Maximum Likelihood Estimation of a Time-Inhomogeneous Stochastic Differential Model of Glucose Dynamics" (Insieme di parole chiave)

Incoming links:

Autore CNR di

• ANDREA DE GAETANO (Unità di personale interno)
• UMBERTO PICCHINI (Persona)
• SUSANNE DITLEVSEN (Unità di personale esterno)

Prodotto

• Istituto di analisi dei sistemi ed informatica \"Antonio Ruberti\" (IASI) (Istituto)
• Modelli e Metodi Matematici in Fisiopatologia (ME.P06.002.001) (Modulo)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#rivistaDi

• Mathematical medicine and biology (Rivista)

Insieme di parole chiave di

• Keywords of "Maximum Likelihood Estimation of a Time-Inhomogeneous Stochastic Differential Model of Glucose Dynamics" (Insieme di parole chiave)