The Resource Information Thermodynamics on Causal Networks and Its Application to Biochemical Signal Transduction
Information Thermodynamics on Causal Networks and Its Application to Biochemical Signal Transduction
- Language
- eng
- Extent
- 1 online resource (140 pages)
- Contents
-
- "Supervisorâ{u0080}{u0099}s Foreword" -- "Parts of this thesis have been published in the following journal article:" -- "Acknowledgments" -- "Contents" -- "1 Introduction to Information Thermodynamics on Causal Networks" -- "References" -- "2 Review of Classical Information Theory" -- "2.1 Entropy" -- "2.1.1 Shannon Entropy" -- "2.1.2 Relative Entropy" -- "2.1.3 Mutual Information" -- "2.1.4 Transfer Entropy" -- "2.2 Noisy-Channel Coding Theorem" -- "2.2.1 Communication Channel" -- "2.2.2 Noisy-Channel Coding Theorem" -- "References" -- "3 Stochastic Thermodynamics for Small System" -- "3.1 Stochastic Thermodynamics" -- "3.1.1 Detailed Fluctuation Theorem" -- "3.1.2 Entropy Production" -- "3.1.3 Relative Entropy and the Second Law of Thermodynamics" -- "3.1.4 Stochastic Relative Entropy and Integral Fluctuation Theorem" -- "3.2 Steady State Thermodynamics and Feedback Cooling" -- "3.2.1 Housekeeping Heat and Excess Heat" -- "3.2.2 Stochastic Relative Entropy and Hatano--Sasa Identity" -- "3.2.3 Stochastic Relative Entropy and Feedback Cooling" -- "References" -- "4 Information Thermodynamics Under Feedback Control" -- "4.1 Feedback Control and Entropy Production" -- "4.1.1 Stochastic Relative Entropy and Sagawa--Ueda Relation" -- "4.1.2 Maxwell's Demon Interpretation of Sagawa--Ueda Relation" -- "4.2 Comparison Between Sagawa--Ueda Relation and the Second Law" -- "4.2.1 Total Entropy Production and Sagawa--Ueda Relation" -- "References" -- "5 Bayesian Networks and Causal Networks" -- "5.1 Bayesian Networks" -- "5.1.1 Directed Acyclic Graph" -- "5.1.2 Bayesian Networks" -- "5.2 Causal Networks" -- "5.2.1 Causal Networks" -- "5.2.2 Examples of Causal Networks" -- "References" -- "6 Information Thermodynamics on Causal Networks" -- "6.1 Entropy on Causal Networks" -- "6.1.1 Entropy Production on Causal Networks"
- "6.1.2 Examples of Entropy Production on Causal Networks" -- "6.1.3 Transfer Entropy on Causal Networks" -- "6.1.4 Initial and Final Correlations on Causal Networks" -- "6.2 Generalized Second Law on Causal Networks" -- "6.2.1 Relative Entropy and Generalized Second Law" -- "6.2.2 Examples of Generalized Second Law on Causal Networks" -- "6.2.3 Coupled Chemical Reaction Model with Time-Delayed Feedback Loop" -- "References" -- "7 Application to Biochemical Signal Transduction" -- "7.1 Biochemical Signal Transduction" -- "7.1.1 Sensory Adaptation" -- "7.1.2 Mutual Information in Biochemical Signal Transduction" -- "7.2 Information Thermodynamics in Biochemical Signal Transduction" -- "7.2.1 Coupled Langevin Model of Sensory Adaptation" -- "7.2.2 Information Thermodynamics and Robustness of Adaptation" -- "7.2.3 Information Thermodynamics and Conventional Thermordynamics" -- "7.2.4 Analytical Calculations" -- "7.3 Information Thermodynamics and Noisy-Channel Coding Theorem" -- "7.3.1 Analogical Similarity" -- "7.3.2 Difference and Biochemical Relevance" -- "References" -- "8 Information Thermodynamics as Stochastic Thermodynamics for Small Subsystem" -- "8.1 Information Thermodynamics for Small Subsystem" -- "8.1.1 Information Thermodynamics for a Multi-dimensional Markov Process" -- "8.1.2 Transfer Entropy for Multi-dimensional Linear Langevin System" -- "8.1.3 Relative Entropy and Integral Fluctuation Theorem for Small Subsystem" -- "8.1.4 Stochastic Energetics for Small Subsystem" -- "8.2 Further Generalizations" -- "8.2.1 Generalization for Fokker--Planck Equation" -- "8.2.2 Backward Transfer Entropy and Final Correlation" -- "8.2.3 Further Generalization: Information Thermodynamics on Causal Networks Including Backward Transfer Entropy" -- "8.2.4 Examples of Generalized Second Law Including Backward Transfer Entropy" -- "References"
- "9 Further Applications of Information Thermodynamics on Causal Networks" -- "9.1 Steady State Information Thermodynamics" -- "9.2 Feedback Cooling and Third Law of Thermodynamics" -- "References" -- "10 Conclusions" -- "References"
- Isbn
- 9789811016646
- Label
- Information Thermodynamics on Causal Networks and Its Application to Biochemical Signal Transduction
- Title
- Information Thermodynamics on Causal Networks and Its Application to Biochemical Signal Transduction
- Language
- eng
- Cataloging source
- MiAaPQ
- Literary form
- non fiction
- Nature of contents
- dictionaries
- Series statement
- Springer Theses Ser
- Label
- Information Thermodynamics on Causal Networks and Its Application to Biochemical Signal Transduction
- Link
- http://libproxy.rpi.edu/login?url=https://ebookcentral.proquest.com/lib/rpi/detail.action?docID=4595466
- Carrier category
- online resource
- Carrier category code
- cr
- Carrier MARC source
- rdacarrier
- Color
- multicolored
- Content category
- text
- Content type code
- txt
- Content type MARC source
- rdacontent
- Contents
-
- "Supervisorâ{u0080}{u0099}s Foreword" -- "Parts of this thesis have been published in the following journal article:" -- "Acknowledgments" -- "Contents" -- "1 Introduction to Information Thermodynamics on Causal Networks" -- "References" -- "2 Review of Classical Information Theory" -- "2.1 Entropy" -- "2.1.1 Shannon Entropy" -- "2.1.2 Relative Entropy" -- "2.1.3 Mutual Information" -- "2.1.4 Transfer Entropy" -- "2.2 Noisy-Channel Coding Theorem" -- "2.2.1 Communication Channel" -- "2.2.2 Noisy-Channel Coding Theorem" -- "References" -- "3 Stochastic Thermodynamics for Small System" -- "3.1 Stochastic Thermodynamics" -- "3.1.1 Detailed Fluctuation Theorem" -- "3.1.2 Entropy Production" -- "3.1.3 Relative Entropy and the Second Law of Thermodynamics" -- "3.1.4 Stochastic Relative Entropy and Integral Fluctuation Theorem" -- "3.2 Steady State Thermodynamics and Feedback Cooling" -- "3.2.1 Housekeeping Heat and Excess Heat" -- "3.2.2 Stochastic Relative Entropy and Hatano--Sasa Identity" -- "3.2.3 Stochastic Relative Entropy and Feedback Cooling" -- "References" -- "4 Information Thermodynamics Under Feedback Control" -- "4.1 Feedback Control and Entropy Production" -- "4.1.1 Stochastic Relative Entropy and Sagawa--Ueda Relation" -- "4.1.2 Maxwell's Demon Interpretation of Sagawa--Ueda Relation" -- "4.2 Comparison Between Sagawa--Ueda Relation and the Second Law" -- "4.2.1 Total Entropy Production and Sagawa--Ueda Relation" -- "References" -- "5 Bayesian Networks and Causal Networks" -- "5.1 Bayesian Networks" -- "5.1.1 Directed Acyclic Graph" -- "5.1.2 Bayesian Networks" -- "5.2 Causal Networks" -- "5.2.1 Causal Networks" -- "5.2.2 Examples of Causal Networks" -- "References" -- "6 Information Thermodynamics on Causal Networks" -- "6.1 Entropy on Causal Networks" -- "6.1.1 Entropy Production on Causal Networks"
- "6.1.2 Examples of Entropy Production on Causal Networks" -- "6.1.3 Transfer Entropy on Causal Networks" -- "6.1.4 Initial and Final Correlations on Causal Networks" -- "6.2 Generalized Second Law on Causal Networks" -- "6.2.1 Relative Entropy and Generalized Second Law" -- "6.2.2 Examples of Generalized Second Law on Causal Networks" -- "6.2.3 Coupled Chemical Reaction Model with Time-Delayed Feedback Loop" -- "References" -- "7 Application to Biochemical Signal Transduction" -- "7.1 Biochemical Signal Transduction" -- "7.1.1 Sensory Adaptation" -- "7.1.2 Mutual Information in Biochemical Signal Transduction" -- "7.2 Information Thermodynamics in Biochemical Signal Transduction" -- "7.2.1 Coupled Langevin Model of Sensory Adaptation" -- "7.2.2 Information Thermodynamics and Robustness of Adaptation" -- "7.2.3 Information Thermodynamics and Conventional Thermordynamics" -- "7.2.4 Analytical Calculations" -- "7.3 Information Thermodynamics and Noisy-Channel Coding Theorem" -- "7.3.1 Analogical Similarity" -- "7.3.2 Difference and Biochemical Relevance" -- "References" -- "8 Information Thermodynamics as Stochastic Thermodynamics for Small Subsystem" -- "8.1 Information Thermodynamics for Small Subsystem" -- "8.1.1 Information Thermodynamics for a Multi-dimensional Markov Process" -- "8.1.2 Transfer Entropy for Multi-dimensional Linear Langevin System" -- "8.1.3 Relative Entropy and Integral Fluctuation Theorem for Small Subsystem" -- "8.1.4 Stochastic Energetics for Small Subsystem" -- "8.2 Further Generalizations" -- "8.2.1 Generalization for Fokker--Planck Equation" -- "8.2.2 Backward Transfer Entropy and Final Correlation" -- "8.2.3 Further Generalization: Information Thermodynamics on Causal Networks Including Backward Transfer Entropy" -- "8.2.4 Examples of Generalized Second Law Including Backward Transfer Entropy" -- "References"
- "9 Further Applications of Information Thermodynamics on Causal Networks" -- "9.1 Steady State Information Thermodynamics" -- "9.2 Feedback Cooling and Third Law of Thermodynamics" -- "References" -- "10 Conclusions" -- "References"
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- Extent
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- Form of item
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- Isbn
- 9789811016646
- Media category
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