Skip to Main content Skip to Navigation
Journal articles

Infection Time in Multistable Gene Networks. A Backward Stochastic Variational Inequality with Nonconvex Switch-Dependent Reflection Approach

Dan Goreac 1 Eduard Rotenstein 2
1 PS
LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées
Abstract : We investigate a mathematical model associated to the infection time in multistable gene networks. The mathematical processes are of hybrid switch type. The switch is governed by pure jump modes and linked to DNA bindings. The differential component follows backward stochastic dynamics reflected in some mode-dependent nonconvex domains. First, we study the existence of solutions to the resulting stochastic variational inclusions, by reducing the model to a family of ordinary variational inclusions with generalized reflection in semiconvex domains. Second, by considering control-dependent drivers, we hint to some model-selection approach by embedding the controlled backward stochastic variational inclusion in a family of regular measures. Regularity and structural properties of these sets are given.
Complete list of metadatas

Cited literature [45 references]  Display  Hide  Download

https://hal-upec-upem.archives-ouvertes.fr/hal-01211101
Contributor : Dan Goreac <>
Submitted on : Sunday, September 4, 2016 - 3:52:21 PM
Last modification on : Thursday, March 19, 2020 - 12:26:03 PM

File

GoreacRotenstein_BSVIGenesRev2...
Files produced by the author(s)

Identifiers

Citation

Dan Goreac, Eduard Rotenstein. Infection Time in Multistable Gene Networks. A Backward Stochastic Variational Inequality with Nonconvex Switch-Dependent Reflection Approach. Set-Valued and Variational Analysis, Springer, 2016, ⟨10.1007/s11228-016-0382-7⟩. ⟨hal-01211101v2⟩

Share

Metrics

Record views

540

Files downloads

1000