Multi-Grid Reaction-Diffusion Master Equation: Applications to Morphogen Gradient Modelling

Multi-Grid Reaction-Diffusion Master Equation: Applications to Morphogen Gradient Modelling

Show other versions (1)

The multi-grid reaction-diffusion master equation (mgRDME) provides a generalization of stochastic compartment-based reaction-diffusion modelling described by the standard reaction-diffusion master equation (RDME). By enabling different resolutions on lattices for biochemical species with different...

Fuld beskrivelse

Bibliografiske detaljer
Main Authors:	Erban, R, Winkelmann, S
Format:	Journal article
Sprog:	English
Udgivet:	Springer 2024

Lignende værker

Multi-grid reaction-diffusion master equation: applications to morphogen gradient modelling
af: Erban, R, et al.
Udgivet: (2024)

Spatially Distributed Morphogen Production and Morphogen Gradient Formation
af: Arthur D. Lander, et al.
Udgivet: (2005-02-01)

Morphogen gradients, in theory.
af: Freeman, M
Udgivet: (2002)

Patterning principles of morphogen gradients
af: M. Fethullah Simsek, et al.
Udgivet: (2022-10-01)

Building a morphogen gradient without diffusion in a growing tissue.
af: Rebecca H Chisholm, et al.
Udgivet: (2010-01-01)

Travelling gradients in interacting morphogen systems.
af: Baker, R, et al.
Udgivet: (2007)

Travelling gradients in interacting morphogen systems
af: Baker, R, et al.
Udgivet: (2007)

Mathematical models of morphogen gradients and their effects on gene expression
af: Shvartsman, S, et al.
Udgivet: (2012)

Reconstitution of Morphogen Signaling Gradients in Cultured Cells
af: Kim, Julia S., et al.
Udgivet: (2022)

Morphogen gradient from a noisy source.
af: England, J, et al.
Udgivet: (2005)

Reconstitution of Morphogen Signaling Gradients in Cultured Cells
af: Kim, Julia S., et al.
Udgivet: (2021)

Visualisation and quantification of morphogen gradient formation in the zebrafish.
af: Steven A Harvey, et al.
Udgivet: (2009-05-01)

Precision and scaling in morphogen gradient read‐out
af: Aitana Morton de Lachapelle, et al.
Udgivet: (2010-03-01)

Theoretical and experimental approaches to understand morphogen gradients
af: Marta Ibañes, et al.
Udgivet: (2008-03-01)

Precision of morphogen gradients in neural tube development
af: Roman Vetter, et al.
Udgivet: (2022-03-01)

Formation of the long range Dpp morphogen gradient.
af: Gerald Schwank, et al.
Udgivet: (2011-07-01)

Morphogen gradient from a noisy source
af: England, J, et al.
Udgivet: (2005)

Improving the understanding of cytoneme-mediated morphogen gradients by in silico modeling.
af: Adrián Aguirre-Tamaral, et al.
Udgivet: (2021-08-01)

A multi-dimensional microfluidic platform recapitulating chemotactic and morphogenic chemical gradients
af: Amadi, Ovid Charles
Udgivet: (2014)

Pre‐steady and stable morphogen gradients: can they coexist?
af: Aitana Morton de Lachapelle, et al.
Udgivet: (2010-11-01)

Assessing the precision of morphogen gradients in neural tube development
af: Marcin Zagorski, et al.
Udgivet: (2024-02-01)

Read-Out of Dynamic Morphogen Gradients on Growing Domains.
af: Patrick Fried, et al.
Udgivet: (2015-01-01)

Interpretation of morphogen gradients by a synthetic bistable circuit
af: Paul K. Grant, et al.
Udgivet: (2020-11-01)

Pre-steady-state decoding of the Bicoid morphogen gradient.
af: Sven Bergmann, et al.
Udgivet: (2007-02-01)

Stochastic modelling of reaction-diffusion processes: algorithms for bimolecular reactions.
af: Erban, R, et al.
Udgivet: (2009)

Stochastic modelling of reaction-diffusion processes: algorithms for bimolecular reactions
af: Erban, R, et al.
Udgivet: (2009)

Implications of diffusion and time-varying morphogen gradients for the dynamic positioning and precision of bistable gene expression boundaries.
af: Melinda Liu Perkins
Udgivet: (2021-06-01)

Multiscale stochastic reaction–diffusion algorithms combining Markov chain models with stochastic partial differential equations
af: Kang, HW, et al.
Udgivet: (2019)

Stable developmental patterns of gene expression without morphogen gradients.
af: Maciej Majka, et al.
Udgivet: (2024-12-01)

Reply to: Assessing the precision of morphogen gradients in neural tube development
af: Roman Vetter, et al.
Udgivet: (2024-02-01)

Concentration dependent chromatin states induced by the bicoid morphogen gradient
af: Colleen E Hannon, et al.
Udgivet: (2017-09-01)

Extracellular interactions and ligand degradation shape the nodal morphogen gradient
af: Yin Wang, et al.
Udgivet: (2016-04-01)

A steady state of morphogen gradients for semilinear elliptic systems
af: Eun Heui Kim
Udgivet: (2005-06-01)

Multiscale stochastic reaction-diffusion modelling: application to actin dynamics in filopodia
af: Erban, R, et al.
Udgivet: (2012)

Diffusion vs. direct transport in the precision of morphogen readout
af: Sean Fancher, et al.
Udgivet: (2020-10-01)

Reaction time for trimolecular reactions in compartment-based reaction-diffusion models
af: Li, F, et al.
Udgivet: (2018)

Hedgehog morphogen gradient is robust towards variations in tissue morphology in Drosophila
af: Giulia Pierini, et al.
Udgivet: (2023-05-01)

Response to Nodal morphogen gradient is determined by the kinetics of target gene induction
af: Julien Dubrulle, et al.
Udgivet: (2015-04-01)

Multiple dynamic modes of Bicoid morphogen gradient are explained by a quantum-classical model
af: Irfan Lone, et al.
Udgivet: (2024-08-01)

Distinguishing graded and ultrasensitive signalling cascade kinetics by the shape of morphogen gradients in Drosophila.
af: MacNamara, S, et al.
Udgivet: (2011)