Chaotic DNA dynamics:
"A general systems theory model predicts quasiperiodic Penrose tiling pattern for the nested coiled structure of the DNA molecule in the chromosome resulting in maximum packing efficiency and unified whole fuzzy logic network architecture with ordered two-way signal transmission between the cod...
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New Jersey ; London ; Singapore
World Scientific
[2022]
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Summary: | "A general systems theory model predicts quasiperiodic Penrose tiling pattern for the nested coiled structure of the DNA molecule in the chromosome resulting in maximum packing efficiency and unified whole fuzzy logic network architecture with ordered two-way signal transmission between the coding and non-coding (junk DNA) regions. Junk DNA are not redundant. Modification of the DNA base sequence structure at any location may have significant noticeable effects on the function of the DNA molecule as a whole. This book helps us understand the cooperative existence of individual components for optimum performance of the system"-- |
| Physical Description: | xx, 224 Seiten Illustrationen, Diagramme 24 cm |
| ISBN: | 9789811242854 9811242852 |
Staff View
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Record in the Search Index
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| adam_text | Contents Preface vii Chapter 1 Universal Characteristics of Fractal Fluctuations: General Systems Theory 1.1 Introduction 1.2 Statistical Methods for Data Analysis 1.2.1 Statistical normal distribution 1.2.2 Fractal fluctuations and statistical analysis 1.2.2.1 Power-laws and fat tails 1.2.2.2 Scale-free theory for power-laws with fat, long tails 1.3 General Systems Theory for Fractal Fluctuations 1.3.1 Dynamic memory (information) circulation network 12 1.3.2 Quasicrystalline structure of the eddy continuum 1.3.3 Model predictions 1.3.3.1 Quasiperiodic Penrose tiling pattern 1.3.3.2 Eddy continuum 1.3.3.3 Dominant eddies 1.3.3.4 Berry’s phase in quantum systems 1.3.3.5 Logarithmic spiral pattern underlying fractal fluctuation XV 1 1 4 4 6 7 8 10 13 16 16 17 17 18 18
xvi Chaotic DNA Dynamics 1.4 Universal Feigenbaum’s Constants and Probability Density Distribution Function for Fractal Fluctuations 20 1.4.1 Same inverse power-law for probability distribution and power spectra of fractal fluctuations 1.4.2 Inverse power-law for fractal fluctuations close to Gaussian distribution 1.4.3 Fat long tail for probability distribution of fractal fluctuations 1.4.4 Power spectra of fractal fluctuations Acknowledgement References Chapter 2 Nonlinear Dynamics, Chaos and Self-organized Criticality 24 25 27 28 31 31 37 Introduction The DNA Molecule and Heredity Junk DNA Long-Range Correlations in DNA Base Sequence Emergence of Order and Coherence in Biology Multidisciplinary Approach for Modelling Biological Complexity 2.7 Fractal Fluctuations and Statistical Normal Distribution Acknowledgement References 48 49 50 50 Chapter 3 Long-Range Correlations Data 1 : Universal Spectrum for DNA Base C+G Frequency Distribution in Human Chromosomes 1֊24 59 2.1 2.2 2.3 2.4 2.5 2.6 3.1 Introduction 3.2 General Systems Theory Concepts 3.2.1 Quantum-like chaos in turbulentfluidflows 3.2.2 Dynamic memory (information) circulation network 3.2.3 Quasicrystalline structure 3.2.4 Dominant periodicities 3.2.4.1 Emergence of order andcoherencein biology 37 42 43 45 48 59 61 61 61 62 63 64
Contents 3.2.5 Long-range spatiotemporal correlations (coherence) 65 3.2.6 Universal spectrum of fluctuations 3.2.7 Quantum mechanics for subatomic dynamics: Apparent paradoxes 66 3.2.7.1 Wave-particle duality 3.2.7.2 Non-local connection 3.3 Applications of the General Systems Theory Concepts to Genomic DNA Base Sequence Structure 3.4 Data and Analysis 3.4.1 Data 3.4.2 Power spectral analyses: Variance and phase spectra 3.4.3 Power spectral analyses: Dominant periodicities 3.4.3.1 Peak wavelength versus bandwidth 3.5 Discussions 3.6 Conclusions Acknowledgement References Chapter 4 Quantum-like Chaos in the Frequency Distributions of Bases A, C, G, T in Human Chromosome 1 DNA 4.1 Introduction 4.2 Model Concepts 4.3 Data and Analyses 4.4 Results and Conclusions Acknowledgement References Chapter 5 Universal Spectrum for DNA Base C+G Concentration Variability in Human Chromosome Y 5.1 Introduction 5.1.1 General systems theory concepts 5.1.2 Quantum-like chaos in turbulent fluid flows 5.1.3 Dynamic memory (information) circulation network 5.1.4 Quasi-crystalline structure 5.1.5 Dominant periodicities xvii 65 66 66 67 69 69 69 71 72 74 77 78 78 83 83 84 86 89 90 90 95 95 98 98 98 99 100
xviii Chaotic DNA Dynamics 5.1.5.1 Emergence of order andcoherence inbiology 102 5.2 Long-Range Spatiotemporal Correlations(Coherence) 103 5.3 Universal Spectrum of Fluctuations 104 5.4 Quantum Mechanics for Subatomic Dynamics: Apparent Paradoxes 104 5.4.1 Wave-particle duality 104 5.4.2 Non-local connection 105 5.5 Self-Organized Criticality and Quantum-Like Chaos in Computed Model Dynamical Systems 106 5.5.1 Deterministic chaos 106 5.5.2 Universal quantification for deterministic chaos in dynamical systems 107 5.5.3 Universal algorithm for quasi-crystalline structure formation in real world and computed model dynamical systems 107 5.6 Applications of the General Systems Theory Concepts to Genomic DNA Base Sequence Structure 108 5.7 Data and Analysis 110 5.7.1 Data 110 5.7.2 Power spectral analyses: Variance and phase spectra 111 5.7.3 Power spectral analyses: Dominant periodicities 111 5.8 Discussions 112 5.9 Conclusions 115 Acknowledgement 116 References 116 Chapter 6 Quantum-like Chaos in the Frequency Distributions of the Bases A, C, G, T in Drosophila DNA 123 6.1 Introduction 6.1.1 The DNA molecule and heredity 6.1.2 Long-range correlations in DNA base sequence 6.1.3 Nonlinear dynamics and chaos 6.2 General Systems Theory for Universal Quantification of Fractal Fluctuations of Dynamical Systems 6.3 Data and Analysis 6.3.1 Fractal nature of frequency distribution of Drosophila DNA base (A, C, G or T) sequence 123 123 125 128 131 135 136
Contents xix 6.3.2 The frequency distributions of DNA bases A, C, G, T and the statistical normal distribution 6.3.3 Continuous periodogram power spectral analyses 6.3.4 Power spectral analyses: Summary of results 6.3.4.1 Average variance and phase spectra 6.3.4.2 Dominant wavebands 6.3.4.3 Peak wavelength versus bandwidth 6.4 Results and Discussion 6.5 Conclusions Acknowledgement References 137 139 140 140 140 142 148 151 154 154 Chapter 7 Long-Range Correlations Data Set V: Universal Spectrum for DNA Base CG Frequency Distribution in Takifugu Rubripes (Puffer fish) Genome 163 Introduction 163 7.1.1 Fractal fluctuations and statistical normal distribution 164 7.2 Multidisciplinary Approach for Modelling Biological Complexity 165 7.2.1 General systems theory for fractal fluctuations in dynamical systems 166 7.2.2 Fractals represent hierarchical communication networks 169 7.2.3 Model predictions (relevance of model predictions to biological networks) 170 7.2.3.1 Quasicrystalline pattern for the network architecture 170 7.2.3.2 Long-range spatiotemporal conelations (coherence) 171 7.2.3.3 Emergence of order and coherence in biology 172 7.2.3.4 Dominant length scales in the quasicrystalline spatialpattern 172 7.2.3.5 DNAsequence and functions 173 7.3 Data and Analysis 175 7.3.1 Data 175 7.1
xx Chaotic DNA Dynamics 7.3.2 Power spectral analyses: Variance and phase spectra 175 7.4 Results and Discussion 176 7.4.! Data sets and power spectral analyses 176 7.4.2 Model predicted dominant wavebands 179 7.4.3 Peak wavelength versus bandwidth 182 7.4.4 Quasiperiodic Penrose tiling and packing efficiency 183 7.5 Current Status of Basic Concepts in Quantum Mechanics 185 7.5.1 Fractals and quantum theory 186 7.5.2 Quantum mechanics and string theory 188 7.5.3 Fluid mechanics and quantum mechanics 189 7.5.4 General systems theory for fractal space-time fluctuations and quantum-like chaos in atmospheric flows 189 7.5.5 Model predictions and the interpretation of quantum mechanical laws 191 7.5.5.1 Probability and amplitude square: Probability of weather system 191 7.5.5.2 Non-local connection in weather systems 192 7.5.5.3 Non-local connection in quantum systems 194 7.6 Conclusions 194 Acknowledgement 195 References 195 Chapter 8 Long-Range Correlations in Human Chromosome X DNA Base CG Frequency Distribution: Data Set VI 8.1 Introduction 8.1.1 Model Concepts 8.2 Data and Analysis 8.3 Results and Conclusions Acknowledgement References Appendix Index 201 201 203 205 208 209 209 211 213
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| adam_txt |
Contents Preface vii Chapter 1 Universal Characteristics of Fractal Fluctuations: General Systems Theory 1.1 Introduction 1.2 Statistical Methods for Data Analysis 1.2.1 Statistical normal distribution 1.2.2 Fractal fluctuations and statistical analysis 1.2.2.1 Power-laws and fat tails 1.2.2.2 Scale-free theory for power-laws with fat, long tails 1.3 General Systems Theory for Fractal Fluctuations 1.3.1 Dynamic memory (information) circulation network 12 1.3.2 Quasicrystalline structure of the eddy continuum 1.3.3 Model predictions 1.3.3.1 Quasiperiodic Penrose tiling pattern 1.3.3.2 Eddy continuum 1.3.3.3 Dominant eddies 1.3.3.4 Berry’s phase in quantum systems 1.3.3.5 Logarithmic spiral pattern underlying fractal fluctuation XV 1 1 4 4 6 7 8 10 13 16 16 17 17 18 18
xvi Chaotic DNA Dynamics 1.4 Universal Feigenbaum’s Constants and Probability Density Distribution Function for Fractal Fluctuations 20 1.4.1 Same inverse power-law for probability distribution and power spectra of fractal fluctuations 1.4.2 Inverse power-law for fractal fluctuations close to Gaussian distribution 1.4.3 Fat long tail for probability distribution of fractal fluctuations 1.4.4 Power spectra of fractal fluctuations Acknowledgement References Chapter 2 Nonlinear Dynamics, Chaos and Self-organized Criticality 24 25 27 28 31 31 37 Introduction The DNA Molecule and Heredity Junk DNA Long-Range Correlations in DNA Base Sequence Emergence of Order and Coherence in Biology Multidisciplinary Approach for Modelling Biological Complexity 2.7 Fractal Fluctuations and Statistical Normal Distribution Acknowledgement References 48 49 50 50 Chapter 3 Long-Range Correlations Data 1 : Universal Spectrum for DNA Base C+G Frequency Distribution in Human Chromosomes 1֊24 59 2.1 2.2 2.3 2.4 2.5 2.6 3.1 Introduction 3.2 General Systems Theory Concepts 3.2.1 Quantum-like chaos in turbulentfluidflows 3.2.2 Dynamic memory (information) circulation network 3.2.3 Quasicrystalline structure 3.2.4 Dominant periodicities 3.2.4.1 Emergence of order andcoherencein biology 37 42 43 45 48 59 61 61 61 62 63 64
Contents 3.2.5 Long-range spatiotemporal correlations (coherence) 65 3.2.6 Universal spectrum of fluctuations 3.2.7 Quantum mechanics for subatomic dynamics: Apparent paradoxes 66 3.2.7.1 Wave-particle duality 3.2.7.2 Non-local connection 3.3 Applications of the General Systems Theory Concepts to Genomic DNA Base Sequence Structure 3.4 Data and Analysis 3.4.1 Data 3.4.2 Power spectral analyses: Variance and phase spectra 3.4.3 Power spectral analyses: Dominant periodicities 3.4.3.1 Peak wavelength versus bandwidth 3.5 Discussions 3.6 Conclusions Acknowledgement References Chapter 4 Quantum-like Chaos in the Frequency Distributions of Bases A, C, G, T in Human Chromosome 1 DNA 4.1 Introduction 4.2 Model Concepts 4.3 Data and Analyses 4.4 Results and Conclusions Acknowledgement References Chapter 5 Universal Spectrum for DNA Base C+G Concentration Variability in Human Chromosome Y 5.1 Introduction 5.1.1 General systems theory concepts 5.1.2 Quantum-like chaos in turbulent fluid flows 5.1.3 Dynamic memory (information) circulation network 5.1.4 Quasi-crystalline structure 5.1.5 Dominant periodicities xvii 65 66 66 67 69 69 69 71 72 74 77 78 78 83 83 84 86 89 90 90 95 95 98 98 98 99 100
xviii Chaotic DNA Dynamics 5.1.5.1 Emergence of order andcoherence inbiology 102 5.2 Long-Range Spatiotemporal Correlations(Coherence) 103 5.3 Universal Spectrum of Fluctuations 104 5.4 Quantum Mechanics for Subatomic Dynamics: Apparent Paradoxes 104 5.4.1 Wave-particle duality 104 5.4.2 Non-local connection 105 5.5 Self-Organized Criticality and Quantum-Like Chaos in Computed Model Dynamical Systems 106 5.5.1 Deterministic chaos 106 5.5.2 Universal quantification for deterministic chaos in dynamical systems 107 5.5.3 Universal algorithm for quasi-crystalline structure formation in real world and computed model dynamical systems 107 5.6 Applications of the General Systems Theory Concepts to Genomic DNA Base Sequence Structure 108 5.7 Data and Analysis 110 5.7.1 Data 110 5.7.2 Power spectral analyses: Variance and phase spectra 111 5.7.3 Power spectral analyses: Dominant periodicities 111 5.8 Discussions 112 5.9 Conclusions 115 Acknowledgement 116 References 116 Chapter 6 Quantum-like Chaos in the Frequency Distributions of the Bases A, C, G, T in Drosophila DNA 123 6.1 Introduction 6.1.1 The DNA molecule and heredity 6.1.2 Long-range correlations in DNA base sequence 6.1.3 Nonlinear dynamics and chaos 6.2 General Systems Theory for Universal Quantification of Fractal Fluctuations of Dynamical Systems 6.3 Data and Analysis 6.3.1 Fractal nature of frequency distribution of Drosophila DNA base (A, C, G or T) sequence 123 123 125 128 131 135 136
Contents xix 6.3.2 The frequency distributions of DNA bases A, C, G, T and the statistical normal distribution 6.3.3 Continuous periodogram power spectral analyses 6.3.4 Power spectral analyses: Summary of results 6.3.4.1 Average variance and phase spectra 6.3.4.2 Dominant wavebands 6.3.4.3 Peak wavelength versus bandwidth 6.4 Results and Discussion 6.5 Conclusions Acknowledgement References 137 139 140 140 140 142 148 151 154 154 Chapter 7 Long-Range Correlations Data Set V: Universal Spectrum for DNA Base CG Frequency Distribution in Takifugu Rubripes (Puffer fish) Genome 163 Introduction 163 7.1.1 Fractal fluctuations and statistical normal distribution 164 7.2 Multidisciplinary Approach for Modelling Biological Complexity 165 7.2.1 General systems theory for fractal fluctuations in dynamical systems 166 7.2.2 Fractals represent hierarchical communication networks 169 7.2.3 Model predictions (relevance of model predictions to biological networks) 170 7.2.3.1 Quasicrystalline pattern for the network architecture 170 7.2.3.2 Long-range spatiotemporal conelations (coherence) 171 7.2.3.3 Emergence of order and coherence in biology 172 7.2.3.4 Dominant length scales in the quasicrystalline spatialpattern 172 7.2.3.5 DNAsequence and functions 173 7.3 Data and Analysis 175 7.3.1 Data 175 7.1
xx Chaotic DNA Dynamics 7.3.2 Power spectral analyses: Variance and phase spectra 175 7.4 Results and Discussion 176 7.4.! Data sets and power spectral analyses 176 7.4.2 Model predicted dominant wavebands 179 7.4.3 Peak wavelength versus bandwidth 182 7.4.4 Quasiperiodic Penrose tiling and packing efficiency 183 7.5 Current Status of Basic Concepts in Quantum Mechanics 185 7.5.1 Fractals and quantum theory 186 7.5.2 Quantum mechanics and string theory 188 7.5.3 Fluid mechanics and quantum mechanics 189 7.5.4 General systems theory for fractal space-time fluctuations and quantum-like chaos in atmospheric flows 189 7.5.5 Model predictions and the interpretation of quantum mechanical laws 191 7.5.5.1 Probability and amplitude square: Probability of weather system 191 7.5.5.2 Non-local connection in weather systems 192 7.5.5.3 Non-local connection in quantum systems 194 7.6 Conclusions 194 Acknowledgement 195 References 195 Chapter 8 Long-Range Correlations in Human Chromosome X DNA Base CG Frequency Distribution: Data Set VI 8.1 Introduction 8.1.1 Model Concepts 8.2 Data and Analysis 8.3 Results and Conclusions Acknowledgement References Appendix Index 201 201 203 205 208 209 209 211 213 |
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| id | DE-604.BV048452177 |
| illustrated | Illustrated |
| index_date | 2024-07-03T20:31:11Z |
| indexdate | 2024-07-10T09:38:29Z |
| institution | BVB |
| isbn | 9789811242854 9811242852 |
| language | English |
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| physical | xx, 224 Seiten Illustrationen, Diagramme 24 cm |
| publishDate | 2022 |
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| publishDateSort | 2022 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Selvam, Amujuri Mary Verfasser aut Chaotic DNA dynamics Amujuri Mary Selvam, Indian Institute of Tropical Meteorology, India New Jersey ; London ; Singapore World Scientific [2022] xx, 224 Seiten Illustrationen, Diagramme 24 cm txt rdacontent n rdamedia nc rdacarrier "A general systems theory model predicts quasiperiodic Penrose tiling pattern for the nested coiled structure of the DNA molecule in the chromosome resulting in maximum packing efficiency and unified whole fuzzy logic network architecture with ordered two-way signal transmission between the coding and non-coding (junk DNA) regions. Junk DNA are not redundant. Modification of the DNA base sequence structure at any location may have significant noticeable effects on the function of the DNA molecule as a whole. This book helps us understand the cooperative existence of individual components for optimum performance of the system"-- Exon (DE-588)4201879-1 gnd rswk-swf Epigenetik (DE-588)7566079-9 gnd rswk-swf DNS (DE-588)4070512-2 gnd rswk-swf Systemtheorie (DE-588)4058812-9 gnd rswk-swf Struktur (DE-588)4058125-1 gnd rswk-swf Intron (DE-588)4162195-5 gnd rswk-swf Meteorology / Research DNA / Structure System theory Chaotic behavior in systems Dynamical systems DNS (DE-588)4070512-2 s Struktur (DE-588)4058125-1 s Systemtheorie (DE-588)4058812-9 s Intron (DE-588)4162195-5 s Exon (DE-588)4201879-1 s Epigenetik (DE-588)7566079-9 s DE-604 Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033830314&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Selvam, Amujuri Mary Chaotic DNA dynamics Exon (DE-588)4201879-1 gnd Epigenetik (DE-588)7566079-9 gnd DNS (DE-588)4070512-2 gnd Systemtheorie (DE-588)4058812-9 gnd Struktur (DE-588)4058125-1 gnd Intron (DE-588)4162195-5 gnd |
| subject_GND | (DE-588)4201879-1 (DE-588)7566079-9 (DE-588)4070512-2 (DE-588)4058812-9 (DE-588)4058125-1 (DE-588)4162195-5 |
| title | Chaotic DNA dynamics |
| title_auth | Chaotic DNA dynamics |
| title_exact_search | Chaotic DNA dynamics |
| title_exact_search_txtP | Chaotic DNA dynamics |
| title_full | Chaotic DNA dynamics Amujuri Mary Selvam, Indian Institute of Tropical Meteorology, India |
| title_fullStr | Chaotic DNA dynamics Amujuri Mary Selvam, Indian Institute of Tropical Meteorology, India |
| title_full_unstemmed | Chaotic DNA dynamics Amujuri Mary Selvam, Indian Institute of Tropical Meteorology, India |
| title_short | Chaotic DNA dynamics |
| title_sort | chaotic dna dynamics |
| topic | Exon (DE-588)4201879-1 gnd Epigenetik (DE-588)7566079-9 gnd DNS (DE-588)4070512-2 gnd Systemtheorie (DE-588)4058812-9 gnd Struktur (DE-588)4058125-1 gnd Intron (DE-588)4162195-5 gnd |
| topic_facet | Exon Epigenetik DNS Systemtheorie Struktur Intron |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033830314&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT selvamamujurimary chaoticdnadynamics |