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"DESTOBIO 2000" August 23-27, 2000 West Lafayette, Indiana, USA |
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Zvia Agur "Effect of Local Cooperativity on Structured Systems' Homeostasis as Exemplified in a Model for Bone-Marrow Hemopoiesis"
ABSTRACT:
Hemopoietic stem cells (HSC) are progenitors that can self renew and
differentiate, normally yielding relatively steady amounts of blood cells of
all
lineages. How the conflicting forces of self renewal and differentiation
are modulated is a major question, pertinent to the most critical problems
in modern medicine, such as the use of growth factors in chemotherapy, gene
therapy, bone marrow (BM) transplantation etc,. To improve the manipulation
of HSC it is essential to understand how self-renewal and differentiation
are balanced and how hemopoietic homeostasis is maintained under frequent
disturbances to BM structure and function. We have constructed a relatively
mathematical model of the BM, including the effect of
cell-to-cell signalling on the local auto-regulation of HSC. Using this
model we check how changes in the information processing of individual BM
cells affect the global behaviour of the system.
The model retrieves homeostasis, in the sense that a stable average
production of
blood cells may be guaranteed, regardless of initial conditions, or
significant BM depletion. Notably, blood counts fluctuations around the
average have no
characteristic scale, thus revealing the chaotic nature of this
deterministic model.
The most fundamental aspect of BM hemopoiesis pinpointed by our model is the
multiple time-scale control of individual cells, which results from simple
functional interactions in the micro-environment. We manifest the boundaries
of applicability of the model by noting that an altered balance between the
negative feed-back on self renewal and maturation may act as a destabilising
force that can be significant in upsetting a healthy hemopoiesis structure,
and in reducing its complexity in disease.
The Department of Mathematics at Purdue
hits since
4/14/00.