Analysis of Deterministic Cyclic Gene Regulatory Network Models / with Delays /
by Ahsen, Mehmet Eren,
[ Books ] Edition statement:1st ed. 2015. Published by : Birkhauser (New York) Physical details: 1 online resource (XIII, 94 pages 15 illustrations in color.) ISBN:9783319156064.
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Control engineering.
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Gene expression.
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Mechatronics.
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Robotics.
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System theory.
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Systems Theory, Control.
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Control, Robotics, Mechatronics.
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Gene Expression.
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Mathematical and Computational Biology.
| Current location | Collection | Call number | Copy number | Status | Date due | Barcode |
|---|---|---|---|---|---|---|
| OLUSEGUN OKE LIBRARY LAUTECH | Non-fiction | QA 402.3 .A47 2015 (Browse shelf) | 2 | Available | 0043295 | |
| OLUSEGUN OKE LIBRARY LAUTECH | Non-fiction | QA 402.3 .A47 2015 (Browse shelf) | 2 | Available | 0043296 |
Browsing OLUSEGUN OKE LIBRARY LAUTECH Shelves Close shelf browser
| QA 401 .W9 1966 Higher engineering mathematics | QA 402 .J67 2004 Optimization: Theory and practice | QA 402 .J67 2004 Optimization: Theory and practice | QA 402.3 .A47 2015 Analysis of Deterministic Cyclic Gene Regulatory Network Models / with Delays / | QA 402.3 .A47 2015 Analysis of Deterministic Cyclic Gene Regulatory Network Models / with Delays / | QA 403.5 .S65 1974 Schaum's outline of theory and problems of Fourier analysis: with applications to boundary value problems / | QA 431 .E43 2005 An introduction to difference equations / |
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This brief examines a deterministic, ODE-based model for gene regulatory networks (GRN) that incorporates nonlinearities and time-delayed feedback. An introductory chapter provides some insights into molecular biology and GRNs. The mathematical tools necessary for studying the GRN model are then reviewed, in particular Hill functions and Schwarzian derivatives. One chapter is devoted to the analysis of GRNs under negative feedback with time delays and a special case of a homogenous GRN is considered. Asymptotic stability analysis of GRNs under positive feedback is then considered in a separate chapter, in which conditions leading to bi-stability are derived. Graduate and advanced undergraduate students and researchers in control engineering, applied mathematics, systems biology and synthetic biology will find this brief to be a clear and concise introduction to the modeling and analysis of GRNs.
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