We study a reaction-diffusion equation
with an integral term describing nonlocal consumption of resources
in population dynamics. We show that a homogeneous equilibrium can
lose its stability resulting in appearance of stationary spatial
structures. They can be related to the emergence of biological
species due to the intra-specific competition and random
mutations.
Various types of travelling waves are observed.
In this work we study the inflammatory process resulting in the development of
atherosclerosis. We develop a one- and two-dimensional models based on reaction-diffusion
systems to describe the set up of a chronic inflammatory response in the intima of an
artery vessel wall. The concentration of the oxidized low density lipoproteins (ox-LDL) in
the intima is the critical parameter of the model. Low ox-LDL concentrations do not lead
to a chronic inflammatory reaction. Intermediate ox-LDL concentrations...
Patients with acute myeloblastic leukemia (AML) are divided according to the French
American British (FAB) classification into eight subgroups (M0 to M7) on the basis of their degree
of maturation/differentiation. However, even if immunophenotypical characterization by flow cytometry
is routinely used to distinguish between AML and acute lymphoblastic leukemia (ALL), it
is not yet well established for the identification within the AML subgroups. Here we show that certain
subgroups of AML can be...
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