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Developmental Systems Theory as a Process Theory
Griffiths and Russell D. Gray (1994, 1997, 2001) have argued that the fundamental unit of analysis in developmental systems theory should be a process – the life cycle – and not a set of developmental resources and interactions between those resources. The key concepts of developmental systems theory, epigenesis and developmental dynamics, both also suggest a process view of the units of development. This chapter explores in more depth the features of developmental systems theory that favour treating processes as fundamental in biology and examines the continuity between developmental systems theory and ideas about process in the work of several major figures in early 20th century biology, most notable C.H Waddington
A Systems Theory Perspective
Aktualisierung: Am 12. Oktober 2018 wurde die digitale Version des Buchbeitrags um den fehlenden Teil (Seiten 53-66) ergänzt
Variational Theory of Balance Systems
In this work we apply the Poincare-Cartan formalism of the Classical Field
Theory to study the systems of balance equations (balance systems). We
introduce the partial k-jet bundles of the configurational bundle and study
their basic properties: partial Cartan structure, prolongation of vector
fields, etc. A constitutive relation C of a balance system is realized as a
mapping between a (partial) k-jet bundle and the extended dual bundle similar
to the Legendre mapping of the Lagrangian Field Theory. Invariant (variational)
form of the balance system corresponding to a constitutive relation C is
studied. Special cases of balance systems -Lagrangian systems of order 1 with
arbitrary sources and RET (Rational Extended Ther- modynamics) systems are
characterized in geometrical terms. Action of auto- morphisms of the
configurational bundle on the constitutive mappings C is studied and it is
shown that the symmetry group Sym(C) of C acts on the sheaf of solutions Sol(C)
of he balance system. Suitable version of Noether Theorem for an action of a
symmetry group is presented together with the special forms for semi-
Lagrangian and RET balance systems and examples of energy momentum and gauge
symmetries balance laws
Systems theory of Smad signaling
Transforming Growth Factor-beta (TGF-beta) signalling is an important
regulator of cellular growth and differentiation. The principal intracellular
mediators of TGF-beta signalling are the Smad proteins, which upon TGF-beta
stimulation accumulate in the nucleus and regulate transcription of target
genes. To investigate the mechanisms of Smad nuclear accumulation, we developed
a simple mathematical model of canonical Smad signalling. The model was built
using both published data and our experimentally determined cellular Smad
concentrations (isoforms 2, 3, and 4). We found in mink lung epithelial cells
that Smad2 (8.5-12 x 10^4 molecules/cell) was present in similar amounts to
Smad4 (9.3-12 x 10^4 molecules/cell), while both were in excess of Smad3
(1.1-2.0 x 10^4 molecules/cell). Variation of the model parameters and
statistical analysis showed that Smad nuclear accumulation is most sensitive to
parameters affecting the rates of RSmad phosphorylation and dephosphorylation
and Smad complex formation/dissociation in the nucleus. Deleting Smad4 from the
model revealed that rate-limiting phospho-R-Smad dephosphorylation could be an
important mechanism for Smad nuclear accumulation. Furthermore, we observed
that binding factors constitutively localised to the nucleus do not efficiently
mediate Smad nuclear accumulation if dephosphorylation is rapid. We therefore
conclude that an imbalance in the rates of R-Smad phosphorylation and
dephosphorylation is likely an important mechanism of Smad nuclear accumulation
during TGF-beta signalling.Comment: To appear in IEE Proceedings Systems Biology. 12 pages of text, 36
pages tota
Theory of reliable systems
An attempt was made to refine the current notion of system reliability by identifying and investigating attributes of a system which are important to reliability considerations. Techniques which facilitate analysis of system reliability are included. Special attention was given to fault tolerance, diagnosability, and reconfigurability characteristics of systems
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