Noise and randomness in living system / / Sisir Roy and Sarangam Majumdar

• Record Nr.: UNINA9910743342803321
• Autore: Roy Sisir
• Pubbl/distr/stampa: Gateway East, Singapore : , : Springer, , [2022]; ©2022
• ISBN: 981-16-9583-0; 981-16-9582-2
• Descrizione fisica: 1 online resource (166 pages)
• Disciplina: 573.8
• Soggetti: Noise; Neurobiology; Random noise theory
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: Intro -- Preface -- Acknowledgements -- Contents -- About the Authors -- 1 Introduction -- 1.1 Noise and Randomness in Science and Engineering -- 1.2 Stochastic Resonance and Sensory Biology -- 1.3 Developmental Noise -- 1.4 Noise in Cellular Communication -- 1.5 Ion Channel Noise in Biological Systems -- 1.6 Noise and Coherence in Meditation -- 1.7 Synthetic Biology and Noise -- 1.8 Chance, Determinism and Laws of Nature -- References -- Part I Science and Engineering -- 2 Noise and Randomness in Science and Engineering -- 2.1 Introduction -- 2.2 Representation of Noise -- 2.3 Different Types of Noise -- 2.4 Difference Between Classical and Quantum Noise -- 2.5 Noise Benefit in Quantum Systems -- 2.6 Discussions -- References -- 3 Various Types of Noise and Their Sources -- 3.1 Basic Concepts of Noise in Physics -- 3.1.1 Properties of Noise -- 3.1.2 Thermal Noise -- 3.1.3 Short Noise -- 3.1.4 Excess Noise -- 3.1.5 Low Frequency Noise -- 3.2 Quantum Noise -- References -- 4 Constructive Role of Noise and Nonlinear Dynamics -- 4.1 Introduction to Nonlinear Dynamics -- 4.2 Linear Systems -- 4.2.1 Linear Systems in 2 -- 4.2.2 Stability Theory -- 4.2.3 Nonhomogeneous Linear Systems -- 4.3 Local Theory of Nonlinear ; Systems -- 4.3.1 Linearization -- 4.3.2 Lyapunov Function and Stability -- 4.4 Global Theory of Nonlinear Systems -- 4.5 Examples of Nonlinear Systems -- 4.5.1 Bifurcation of Nonlinear System in 2 -- 4.5.2 Chaotic Systems -- 4.5.3 Fractals -- 4.6 Constructive Role of Noise -- 4.6.1 Noise Benefits in the Context of Living Organisms -- References -- 5 Noise and Synchronization of Oscillatory Networks -- 5.1 Noise Induced Synchronization -- 5.2 Stochastic Kuramoto Model -- References -- Part II Living Systems -- 6 Stochastic Fluctuations at Cellular and Molecular Level -- 6.1 Introduction -- 6.2 Stochastic Partitioning at Cell Division.; 6.3 Remarks -- References -- 7 Various Types of Noise and Their Sources in Living Organisms -- 7.1 Introduction -- 7.2 Cellular Noise -- 7.2.1 Stochastic Gene Expression Model -- 7.2.1.1 Mathematical Frameworks -- 7.2.1.2 Transcription Burst Frequency Fluctuations -- 7.2.1.3 Transcriptional Burst Size Fluctuations -- 7.2.1.4 Transcriptional Rate Fluctuations -- 7.3 Neuronal Noise -- References -- 8 Ion Channel Noise in Biological Systems -- 8.1 Introduction -- 8.2 Structure and Function of Ion Channel -- 8.2.1 Some Basic Concepts of Noise Analysis -- 8.2.2 Channel Noise -- 8.3 Single Channel Recordings and Channel Noise -- 8.4 Role of Noise and Cooperativity in Hodgkin-Huxley (HH) Formalism -- 8.4.1 Clinical Implications of Channel Noise -- References -- 9 Noise in Cellular Communication -- 9.1 Effect of Noises on Cell Communication -- 9.1.1 Mathematical Framework -- 9.1.2 Model Predictions -- References -- 10 The Role of Noise in Brain Function -- 10.1 Introduction -- 10.2 Stochastic Resonance and Sensory Biology -- 10.3 Principle of Least Time and Sum over Histories -- 10.3.1 40Hz Oscillations and the Concept of Simultaneity -- 10.3.2 Principle of Least Time -- 10.3.3 Sum over Histories -- 10.3.3.1 Phase-Response Properties of Neurons -- 10.3.3.2 Fisher Information and Noise in Brain -- 10.4 Possible Implications -- References -- 11 Noise and Gene Oscillators -- 11.1 Introduction -- 11.2 Synthetic Gene Oscillators -- 11.3 Noise Resistance in Genetic Oscillators -- 11.4 Theory: Time Delayed Genetic Oscillation with Noise -- 11.4.1 Statistical Analysis -- References -- 12 Developmental Noise and Stability -- 12.1 Introduction -- 12.2 Source of Developmental Noise -- 12.2.1 At the Molecular Level -- 12.2.2 At the Developmental Systems Level -- 12.2.3 At the Organismal Level -- 12.3 Mechanisms of Developmental Stability -- References.; 13 Noise and Coherence in Meditation -- 13.1 Introduction -- 13.2 Various Issues and Limitations in the Current Meditation Research -- 13.3 Cognitive Process and Oscillatory Rhythm -- 13.4 States of Meditation and Their Characterization -- 13.5 Coherence: Spatial and Temporal -- 13.5.1 Degree of Spatial Coherence -- 13.5.2 Degree of Temporal Coherence -- 13.5.3 Sources of Noise -- 13.5.3.1 Brain Function and Mental Features -- 13.5.4 Role of Noise in Meditation -- 13.6 Future Directions -- References -- 14 Chaos, Stochasticity and Noise -- 14.1 Introduction -- 14.2 Stochastic Hodgkin-Huxley Equations -- 14.2.1 Mathematical Framework of Noiseless Hodgkin-Huxley Equation -- 14.2.2 Langevin Description -- 14.2.3 Noise Term and Spatial Dependence in the Hodgkin-Huxley Model -- 14.3 Evidence of Chaos in Hodgkin-Huxley Model -- References -- 15 Chance, Determinism and Laws of Nature -- 15.1 Introduction -- 15.2 Chance and Randomness -- 15.3 Laws of Nature -- References.