The lymphatic system is a vital part of the circulatory and immune systems, and plays an
important role in homeostasis by controlling extracellular fluid volume and in combating …

This paper proposes a survey and critical analysis focused on a variety of chemotaxis
models in biology, namely the classical Keller–Segel model and its subsequent …

Statistical mechanics is a powerful method for understanding equilibrium thermodynamics.
An equivalent theoretical framework for nonequilibrium systems has remained elusive. The …

Natural processes usually are driven by mechanisms widely differing from each other by the
time or space scale at which they operate. Thus, they should be described by appropriate …

This paper presents a review on the mathematical tools for the derivation of macroscopic
models in biology from the underlying description at the scale of cells as it is delivered by a …

This paper deals with the modeling of the early stage of cancer phenomena, namely
mutations, onset, progression of cancer cells, and their competition with the immune system …

This paper proposes a critical analysis of the existing literature on mathematical tools
developed toward systems biology approaches and, out of this overview, develops a new …

Many autoimmune diseases are chronic in nature, so that in general, patients experience
periods of recurrence and remission of the symptoms characterizing their specific …

This paper develops a Hilbert type method to derive models at the macroscopic scale for
large systems of several interacting living entities whose statistical dynamics at the …

Pathological fibrosis is the result of a failure in the wound healing process. The
comprehension and the related modeling of the different mechanisms that trigger fibrosis are …