Volume 3 No 3 (2005)
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Quantum Mind and Consciousness
Željko Bajzer and Stanimir Vuk-Pavlović.
Abstract
Our current understanding of molecular mechanisms of cellular regulation still does not support
quantitative predictions of the overall growth kinetics of normal or malignant tissues. However,
discernment of the role of growth-factor mediated cell–cell communication in tissue kinetics is possible
by the use of simple mathematical models. Here we discuss the design and use of mathematical models
in quantifying the contribution of autocrine and paracrine (i.e., humoral) interactions to the kinetics of
tissue growth. We present models that include a humorally mediated regulatory feedback among cells
built into phenomenological mathematical models of growth. Application of these models to data
exemplifies the finite contributions of positive feedback in cell–cell interactions to the overall tissue
growth. In addition, we propose a perturbation approach to allow separation of cell–cell interactions
dependent on the perturbing agent (such as hormone antagonists in hormone-dependent tissues) from
cell–cell interactions independent of it.
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