𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A Model of Growth and Form Based on Adhesion Molecules

✍ Scribed by Frederick W. Cummings

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
421 KB
Volume
178
Category
Article
ISSN
0022-5193

No coin nor oath required. For personal study only.

✦ Synopsis

A model is given for the generation of pattern and form in living systems, based on the assumption of two types of a single adhesion molecule that form homotypic cell-cell contacts. The time dependence of the model is different from that of the Turing models, instead viewing the change in time as being driven by the change in time of the total area A, along with the sequential gene activation which is called into play at discrete times as the organism grows and changes shape. Two equations are derived on the assumption of an energy minimum equilibrium being achieved at all times on a scale that is short compared with the rate of change over time of the total area. The two equations derived from the simple assumptions of the model are the (nonlinear) Helmholtz equation and the Laplace equation. It is argued that a suitable ''morphogen'' should attempt to satisfy certain rather specific conditions.

πŸ“œ SIMILAR VOLUMES

Optimal initial production control perio
Optimal initial production control period based on a quality growth model
✍ Yasumichi Tatsumi; Mitsuhiro Kimura; Shigeru Yamada πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 75 KB πŸ‘ 1 views

The initial production phase of new products or the initial installation phase of new manufacturing facilities is often unstable because of inexperienced workers and many defective products. An initial production process control, in which the defects in design, production technologies and products a

Dextran-based coating system for the imm
Dextran-based coating system for the immobilization of cell adhesion promoting molecules on titanium surfaces
✍ M. Dubs; J. Weisser; R. Linke; A. Pfuch; D. Imhof; M. Schnabelrauch πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 283 KB

## Abstract Immobilization of adhesive peptides interacting with cellular integrin receptors onto metallic implant surfaces represents a promising approach to improve osseointegration of implants into the surrounding tissue. In the present study, a functional dextran‐based coating system consisting

Mathematical model of static platelet ad
Mathematical model of static platelet adhesion on a solid surface
✍ Vasin, Sergei L. ;Titushkin, Igor A. ;Sevastianov, Viktor I. πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 118 KB

## Abstract The scheme of platelet/surface interaction and a kinetic model of platelet adhesion on a solid surface are suggested. The elaborated approach takes into account the platelet activation by the surface and accumulation of free activated cells in the bulk of the liquid phase. This effect h

Mathematical modelling of avascular tumo
Mathematical modelling of avascular tumour growth based on diffusion of nutrients and its validation
✍ Kanchi Lakshmi Kiran; Devaraj Jayachandran; S. Lakshminarayanan πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 335 KB

## Abstract In this paper, a mathematical model based on the diffusion of nutrients is developed by considering the physiological changes accompanying the growth of avascular tumour. Avascular tumour growth involves the formation of three different zones namely proliferation, quiescent and necrotic

A new optimal portfolio selection strate
A new optimal portfolio selection strategy based on a quadratic form mean–variance model with transaction costs
✍ Hui Peng; Genshiro Kitagawa; Min Gan; Xiaohong Chen πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 170 KB

## Abstract A new optimal portfolio selection method within the Markowitz mean–variance framework is presented in this paper. The model proposed in the paper includes expected return, trading risk, and in particular, a quadratic form in the transaction costs of the portfolio. Using this model yield