Plant growth occurs due to cell proliferation in the meristem. We model the case of
apical meristem specific for branch growth and the case of basal meristem specific for
bulbous plants and grass. In the case of apical growth, our model allows us to describe
the variety of plant forms and lifetimes, endogenous rhythms and apical domination. In the
case of basal growth, the spatial structure, which corresponds to the appearance of
leaves, results...
The paper is devoted to mathematical modelling of erythropoiesis,
production of red blood cells in the bone marrow.
We discuss intra-cellular regulatory networks which determine
self-renewal and differentiation of erythroid progenitors.
In the case of excessive self-renewal, immature cells can fill
the bone marrow resulting in the development of leukemia.
We introduce a parameter characterizing the strength of mutation.
Depending on its value, leukemia will or will not develop.
The simplest...
Evolution of cell populations can be described with dissipative particle dynamics, where
each cell moves according to the balance of forces acting on it, or with partial
differential equations, where cell population is considered as a continuous medium. We
compare these two approaches for some model examples
In this work, we introduce a new software created to study hematopoiesis at the cell
population level with the individually based approach. It can be used as an interface between theoretical
works on population dynamics and experimental observations. We show that this software
can be useful to study some features of normal hematopoiesis as well as some blood diseases such
as myelogenous leukemia. It is also possible to simulate cell communication and the formation of
cell colonies in the bone marrow.
...
Composition gradients in miscible liquids can create volume forces resulting in various
interfacial phenomena. Experimental observations of these phenomena are related to some difficulties
because they are transient, sufficiently weak and can be hidden by gravity driven flows.
As a consequence, the question about their existence and about adequate mathematical models is
not yet completely elucidated. In this work we present some experimental evidences of interfacial
phenomena in miscible liquids...
A hybrid model of red blood cell production, where cells are considered as discrete
objects while intra-cellular proteins and extra-cellular biochemical substances are
described with continuous models, is proposed. Spatial organization and regulation of red
blood cell production (erythropoiesis) are investigated. Normal erythropoiesis is
simulated in two dimensions, and the influence on the output of the model of some
parameters involved in cell...
Various particle methods are widely used to model dynamics of complex media. In this work
molecular dynamics and dissipative particles dynamics are applied to model blood flows
composed of plasma and erythrocytes. The properties of the homogeneous particle fluid are
studied. Capillary flows with erythrocytes are investigated.
Propagation of chemical waves at very low temperatures, observed
experimentally [V.V. Barelko , Advances in Chem. Phys. 74 (1988), 339-384.] at velocities of order 10 cm/s, is due to
a very non- standard physical mechanism. The energy liberated by
the chemical reaction induces destruction of the material, thereby
facilitating the reaction, a process very different from standard
combustion. In this work we present recent experimental results and develop a
new mathematical model which takes into...
Wilkins' method has been successfully used since early 60s for numerical
simulation of high velocity contact elastic-plastic flows. The present work
proposes some effective modifications of this method including more
sophisticated material model including the Baushinger effect; modification of
the algorithm based on correction of the initial configuration of a solid; a
contact algorithm based on the idea of a mild contact.
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