Heterogeneity among individual cells is a characteristic and relevant feature of living
systems. A range of experimental techniques to investigate this heterogeneity is available …

Acute myeloid leukemia (AML) is a paradigmatic example of a stem cell-driven cancer. AML
belongs to the most aggressive malignancies and has a poor prognosis. A hallmark of AML …

The cancer stem cell hypothesis has evolved to one of the most important paradigms in
biomedical research. During recent years evidence has been accumulating for the existence …

Adult stem cells are described as a discrete population of cells that stand at the top of a
hierarchy of progressively differentiating cells. Through their unique ability to self-renew and …

Structured population models are transport-type equations often applied to describe
evolution of heterogeneous populations of biological cells, animals or humans, including …

The objective of this paper is to give a review of the main works dealing with mathematical
modeling of blood cell formation, disorders and treatments within the past fifty years. From …

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 …

We introduce a mathematical model of the in vivo progression of Alzheimer's disease with
focus on the role of prions in memory impairment. Our model consists of differential …

Accumulating evidence suggests that many tumors have a hierarchical organization, with
the bulk of the tumor composed of relatively differentiated short-lived progenitor cells that are …

In this paper we present a deterministic numerical approximation of the coalescence or
Smoluchowski equation. The proposed numerical scheme conserves the first order …