Models of Discrete and Continuous Cell Differentiation in the Framework of Transport Equation

DOI10.1137/11083294XzbMath1316.92022OpenAlexW2072985653MaRDI QIDQ2904739

Piotr Gwiazda, Anna Marciniak-Czochra, Grzegorz Jamróz

Publication date: 23 August 2012

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/11083294x

zbMATH Keywords

transport equationcell differentiationmeasure-valued solutiontransmission conditionsstructured population model

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell biology (92C37) Initial-boundary value problems for nonlinear first-order PDEs (35F31)

Related Items (9)

Bayesian inference for age-structured population model of infectious disease with application to varicella in Poland ⋮ Transport of measures on networks ⋮ Measure-transmission metric and stability of structured population models ⋮ Measure-valued solutions to nonlocal transport equations on networks ⋮ Finite range method of approximation for balance laws in measure spaces ⋮ Measure-Valued Mass Evolution Problems with Flux Boundary Conditions and Solution-Dependent Velocities ⋮ Analysis of particle methods for structured population models with nonlocal boundary term in the framework of bounded Lipschitz distance ⋮ A structured population model of clonal selection in acute leukemias with multiple maturation stages ⋮ Mild solutions to a measure-valued mass evolution problem with flux boundary conditions

This page was built for publication: Models of Discrete and Continuous Cell Differentiation in the Framework of Transport Equation