Infobiotics information in biotic systems

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1. Verfasser: Manca, Vincenzo (VerfasserIn)
Format: Buch
Sprache:German
Veröffentlicht: Berlin [u.a.] Springer-Verl. 2013
Schriftenreihe:Emergence, Complexity and Computation 3
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MARC

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adam_text IMAGE 1 CONTENTS PART I: TOPICS IN DISCRETE BIOMATHEMATICS 1 DISCRETE INFORMATION AND LIFE 3 1.1 SYMBOLS AND MOLECULES 3 1.1.1 MOLECULES AND PROTOCELLS 6 1.2 SEQUENCES AND POLYMERS 7 1.2.1 LUCA AND THE SEQUENCE PARADOX 8 1.3 MULTISETS AND MEMBRANES 9 1.4 CHEMISTRY MULTISETS 10 1.5 LIPOSOME MEMBRANES 12 1.6 POPULATIONS AND HYPERMULTISETS 15 1.7 TREES AND HIERARCHIES 18 1.8 GRAPHS AND INTERACTIONS 20 1.8.1 GRAPHS O F MOLECULE STRUCTURES 20 1.8.2 GRAPHS O F REACTIONS 22 1.8.3 NEURON GRAPH 24 2 STRINGS AND GENOMES 27 2.1 BIOLOGICAL MONOMERS AND POLYMERS 27 2.2 DNA STRINGS AND DNA HELIX 28 2.2.1 DNA NOTATION AND DOUBLE STRING OPERATIONS 29 2.2.2 DNA HELIX 33 2.3 DNA POOL OPERATIONS 4 3 2.3.1 WRITING AND READING DNA 47 2.3.2 PLASMIDE CLONING ALGORITHM 48 2.4 DNA COMPUTING 50 2.4.1 ADLEMAN S EXPERIMENT 51 2.5 PCR AND XPCR PROTOCOLS 56 2.5.1 XPCR 64 2.5.2 DNA EXTRACTION BY X P C R 65 2.5.3 DNA RECOMBINATION BY X P C R 66 HTTP://D-NB.INFO/1030083673 IMAGE 2 X I V CONTENTS 2.6 L-SYSTEMS AND MORPHOGENESIS 68 2.6.1 STRING MODELS AND THEORIES 7 3 2.7 MEMBRANE COMPUTING 75 2.8 INFORMATIONAL ANALYSIS O F GENOMES 81 3 ALGORITHMS AND BIORHYTHMS 107 3.1 METABOLIC GRAMMARS 107 3.1.1 LOTKA-VOLTERRA DYNAMICS 114 3.1.2 THE BRUSSELATOR (BELOUSOV-ZHABOTINSKY REACTION) 115 3.2 TIME SERIES AND INVERSE DYNAMICS 116 3.3 METABOLIC APPROXIMATION 119 3.3.1 GONIOMETRICUS: A METABOLIC GRAMMAR OF SINE AND COSINE 121 3.3.2 GENERALIZATION OF THE GONIOMETRICUS MODEL 122 3.4 STOICHIOMETRIC EXPANSION AND STEPWISE REGRESSION 123 3.4.1 LOG-GAIN PRINCIPLE 129 3.4.2 THE STEPWISE REGRESSION LGSS 130 3.4.3 PROBLEMS RELATED TO THE REGRESSION WITH LGSS 135 3.4.4 MODELS OF MITOSIS 136 3.5 REACTIVITY AND INERTIA 138 3.6 METABOLIC PATTERNS 143 3.7 METABOLIC OSCILLATORS 147 3.7.1 ANABOLISM AND CATABOLISM 154 3.8 THE UBIQUITY O F METABOLISM 158 3.8.1 METABOLIC COMPUTING 162 3.8.2 REVISITING M P GRAMMARS 166 4 LIFE STRATEGIES 169 4.1 THE ENZYMATIC PARADOX 169 4.1.1 GENES AND PROTEINS 172 4.2 BIO-INSPIRED ALGORITHMS 179 4.3 REPLICATION AND AUTOPOIESIS 183 4.4 MAIN INFORMATIONAL STEPS FROM LUCA TO OVUM 185 4.5 LIFE ANALYSIS AND SYNTHESIS 191 4.6 LIFE EVOLUTION 198 4.7 TIME S ARROW AND COMPLEXITY 199 4.8 LIFE AND COMPUTATION 208 PART II: DISCRETE MATHEMATICAL BACKGROUNDS 5 NUMBERS AND MEASURES 215 5.1 SETS AND FUNCTIONS 215 5.1.1 RELATIONS AND OPERATIONS 216 5.1.2 FUNCTIONS AND VARIABLES 217 5.2 NUMBERS AND DIGITS 219 5.2.1 NATURAL NUMBERS 220 IMAGE 3 CONTENTS X V 5.2.2 SUMS AND POSITIONAL REPRESENTATIONS 221 5.2.3 INTEGER NUMBERS 223 5.3 RATIONAL AND REAL NUMBERS: APPROXIMATION AND INFINITE 224 5.3.1 INCOMMENSURABILITY, DIVISIBILITY, AND DISTINGUISHABILITY . . . . 225 5.4 COMPLEX NUMBERS AND REAL VECTORS 231 5.4.1 EULER S IDENTITY 231 5.4.2 POLAR REPRESENTATION O F COMPLEX NUMBERS 234 5.4.3 SOME OF EULER S JEWELS 237 5.5 INDUCTION AND RECURRENCE 239 5.5.1 FIBONACCI SEQUENCE 245 5.5.2 ARITHMETIC AND LOGIC 248 5.5.3 A GLIMPSE O F THE HISTORY OF FORMAL LOGIC 253 5.6 SERIES AND GROWTHS 254 5.6.1 ARITHMETICAL PROGRESSIONS 254 5.6.2 FIGURATE NUMBERS 255 5.6.3 GEOMETRICAL PROGRESSIONS 258 5.6.4 LOGISTIC MAPS 259 5.6.5 NATURAL EXPONENTIAL GROWTH 261 5.6.6 ASYMPTOTIC ORDERS AND INFINITESIMALS 262 5.7 SCALES OF TIME, SPACE, AND MATTER 264 5.8 DISCRETE DYNAMICAL SYSTEMS 268 6 LANGUAGES AND GRAMMARS 273 6.1 STRINGS AND LANGUAGES 273 6.2 GRAMMARS AND CHOMSKY HIERARCHY 277 6.3 REGULAR EXPRESSIONS AND FINITE AUTOMATA 282 6.4 PATTERNS AND RULES 290 6.5 TURING MACHINE 293 6.6 DECIDABILITY AND UNDECIDABILITY 297 6.7 REGISTER MACHINES 300 6.8 INFORMATION, CODES, AND ENTROPY 302 6.8.1 SHANNON S ENTROPY 302 6.8.2 OPTIMAL CODES AND COMPRESSION 303 6.8.3 TYPICALITY AND TRANSMISSION 306 7 COMBINATIONS AND CHANCES 309 7.1 FACTORIALS AND BINOMIAL COEFFICIENTS 309 7.1.1 PERMUTATIONS AND ARRANGEMENTS 310 7.1.2 COMBINATIONS AND BINOMIAL COEFFICIENTS 311 7.1.3 INDUCTIVE DERIVATION O F BINOMIAL COEFFICIENTS 312 7.2 DISTRIBUTIONS AND DISCRETE PROBABILITY 314 7.3 ALLOCATIONS AND PARTITIONS 317 7.3.1 MULTINOMIAL COEFFICIENTS 317 7.3.2 PARTITIONS AND MULTISETS 318 7.3.3 INTEGER PARTITIONS 319 IMAGE 4 X V I CONTENTS 7.4 STIRLING, BELL, CATALAN, AND BERNOULLI NUMBERS 323 7.4.1 STIRLING AND BELL NUMBERS 323 7.4.2 CATALAN NUMBERS 324 7.4.3 BERNOULLI NUMBERS 325 7.5 STIRLING APPROXIMATION 326 7.6 ARS CONJECTANDI AND STATISTICAL TESTS 328 7.6.1 STATISTICS AND PROBABILITY 329 7.6.2 STATISTICAL INFERENCE 333 7.6.3 SAMPLE SIGNIFICANCE INDEXES 337 7.7 LEAST SQUARE APPROXIMATION 338 7.7.1 THE IT-VARIABLE MULTIPLE REGRESSION MODEL 340 7.7.2 THE CLASSICAL STEPWISE REGRESSION 345 7.8 TREES AND GRAPHS 347 7.8.1 TYPES O F TREES 348 7.8.2 TYPES O F GRAPHS * 350 7.8.3 GRAPH PLANARITY AND COLORABILITY 352 7.8.4 POINTERS AND GRAPHS 358 7.8.5 PARENTHESES AND TAGS 358 7.8.6 TREE ENUMERATIONS 362 7.8.7 BINARY TREES 365 7.8.8 PHYLOGENETIC TREES 365 REFERENCES 369 INDEX 379
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indexdate 2024-12-24T03:08:49Z
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isbn 9783642362224
language German
oai_aleph_id oai:aleph.bib-bvb.de:BVB01-025767235
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physical XVIII, 384 S. Ill., graph. Darst.
publishDate 2013
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publisher Springer-Verl.
record_format marc
series Emergence, Complexity and Computation
series2 Emergence, Complexity and Computation
spellingShingle Manca, Vincenzo
Infobiotics information in biotic systems
Emergence, Complexity and Computation
Diskrete Mathematik (DE-588)4129143-8 gnd
Biomathematik (DE-588)4139408-2 gnd
subject_GND (DE-588)4129143-8
(DE-588)4139408-2
title Infobiotics information in biotic systems
title_auth Infobiotics information in biotic systems
title_exact_search Infobiotics information in biotic systems
title_full Infobiotics information in biotic systems Vincenzo Manca
title_fullStr Infobiotics information in biotic systems Vincenzo Manca
title_full_unstemmed Infobiotics information in biotic systems Vincenzo Manca
title_short Infobiotics
title_sort infobiotics information in biotic systems
title_sub information in biotic systems
topic Diskrete Mathematik (DE-588)4129143-8 gnd
Biomathematik (DE-588)4139408-2 gnd
topic_facet Diskrete Mathematik
Biomathematik
url http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025767235&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link (DE-604)BV041227294
work_keys_str_mv AT mancavincenzo infobioticsinformationinbioticsystems