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12 - Non-linear Dynamics

from Part I - Physical Tools

Published online by Cambridge University Press:  12 December 2024

Thomas Andrew Waigh
Affiliation:
University of Manchester
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Summary

Introduces non-linear phenomena in bacterial biophysics with emphasis on the toggle switch for interacting genes.

Type
Chapter
Information
The Physics of Bacteria
From Cells to Biofilms
, pp. 99 - 101
Publisher: Cambridge University Press
Print publication year: 2024

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References

Suggested Reading

Nelson, P. Physical Models of Living Systems. Freeman: 2015. Pedagogic account of modelling techniques with an extensive discussion of the toggle switch.Google Scholar
Strogatz, S. Non-linear Dynamics and Chaos, 2nd ed. Westview Press: 2015. Classic overview of non-linear mathematics applied to some fascinating physical phenomena. The problem sets are extremely valuable.Google Scholar

References

Strogatz, S. H., Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry and Engineering, 2nd ed.; Westview Press: 2014.Google Scholar
Ingalls, B. P., Mathematical Modeling in Systems Biology: An Introduction. MIT Press: 2013.Google Scholar
Nelson, P., Physical Models of Living Systems. W.H. Freeman: 2015.Google Scholar
Gardner, T. S.; Cantor, C. R.; Collins, J., Construction of a genetic toggle switch in Escherichia coli. Nature 2000, 403 (6767), 339342.CrossRefGoogle ScholarPubMed

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