Generalized Wasserstein distance and its application to transport equations with source
In this article, we generalize the Wasserstein distance to measures with different masses.
We study the properties of this distance. In particular, we show that it metrizes weak …
We study the properties of this distance. In particular, we show that it metrizes weak …
A new optimal transport distance on the space of finite Radon measures
We introduce a new optimal transport distance between nonnegative finite Radon measures
with possibly different masses. The construction is based on non-conservative continuity …
with possibly different masses. The construction is based on non-conservative continuity …
[LIBRO][B] Spaces of measures and their applications to structured population models
C Düll, P Gwiazda, A Marciniak-Czochra… - 2021 - books.google.com
Structured population models are transport-type equations often applied to describe
evolution of heterogeneous populations of biological cells, animals or humans, including …
evolution of heterogeneous populations of biological cells, animals or humans, including …
Splitting schemes and segregation in reaction cross-diffusion systems
One of the most fascinating phenomenon observed in reaction diffusion systems is the
emergence of segregated solutions, ie, population densities with disjoint supports. We …
emergence of segregated solutions, ie, population densities with disjoint supports. We …
Structured populations, cell growth and measure valued balance laws
A well-posedness theory of measure valued solutions to balance laws is presented.
Nonlinear semigroups are constructed by means of the operator splitting algorithm. This …
Nonlinear semigroups are constructed by means of the operator splitting algorithm. This …
Measure solutions for some models in population dynamics
We give a direct proof of well-posedness of solutions to general selection-mutation and
structured population models with measures as initial data. This is motivated by the fact that …
structured population models with measures as initial data. This is motivated by the fact that …
Structured population models on Polish spaces: A unified approach including graphs, Riemannian manifolds and measure spaces to describe dynamics of …
This paper presents a mathematical framework for modeling the dynamics of heterogeneous
populations. Models describing local and non-local growth and transport processes appear …
populations. Models describing local and non-local growth and transport processes appear …
Finite dimensional state representation of physiologically structured populations
In a physiologically structured population model (PSPM) individuals are characterised by
continuous variables, like age and size, collectively called their i-state. The world in which …
continuous variables, like age and size, collectively called their i-state. The world in which …
Mass concentration in a nonlocal model of clonal selection
Self-renewal is a constitutive property of stem cells. Testing the cancer stem cell hypothesis
requires investigation of the impact of self-renewal on cancer expansion. To better …
requires investigation of the impact of self-renewal on cancer expansion. To better …
On the convergence of the escalator boxcar train
The Escalator Boxcar Train (EBT) is a numerical method that is widely used in theoretical
biology to investigate the dynamics of physiologically structured population models, ie …
biology to investigate the dynamics of physiologically structured population models, ie …