A new model of oscillatory chemical signaling in cellular slime mold aggregation

Authors
Pate, Edward F.
ORCID
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Other Contributors
Odell, Garrett M.
Segel, Lee A.
Flaherty, J. E., 1943-
Johnson, William H.
Issue Date
1976-08
Keywords
Mathematics
Degree
PhD
Terms of Use
This electronic version is a licensed copy owned by Rensselaer Polytechnic Institute, Troy, NY. Copyright of original work retained by author.
Full Citation
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
Department
Dept. of Mathematical Sciences
Publisher
Rensselaer Polytechnic Institute, Troy, NY
Relationships
Rensselaer Theses and Dissertations Online Collection
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