A new model of oscillatory chemical signaling in cellular slime mold aggregation
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Authors
Pate, Edward F.
Issue Date
1976-08
Type
Electronic thesis
Thesis
Thesis
Language
ENG
Keywords
Mathematics
Alternative Title
Abstract
The strength of the acrasin signal between cells is diminished in strength not only by diffusion, but also due to degradation by an enzyme (acrasinase) produced by the aggregating cells themselves. The true local acrasinacrasinase dynamics are nonlinear and complicated by diffusion of acrasin into the medium upon which the cells are aggregating. A first-order decay process of acrasin which is approximately equivalent to the actual decay process is developed to simplify numerical calculations. The enzyme is assumed bound to the cell membranes. The decay rate is deterwined by amoeba popUlation density, rate of diffusion of acrasin, and physical parameters of the acrasin-acrasinase reaction.
Description
August 1976
School of Science
School of Science
Full Citation
Publisher
Rensselaer Polytechnic Institute, Troy, NY