LNCS 2950 - Aspects of Molecular Computing (Frontmatter Pages)

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180 Ashish Gehani, Thomas LaBean, and John Reif 0 < ¯ ∆ ¯ 1 ∆ (c− 1+ɛ p (= )L p ), is 1 n ′ ,wheren ′ 2 n =(1−p) L . Lemma 5. The probability that a word w in D ′ is a parsed word of the “plaintext” DNA sequence is > 1 − 1 e . Proof. Let X be a “plaintext” DNA sequence of length n. ConsiderD ′′ ,the subset of D containing words of length between c ′ L and L p . D′′ contains at least (1 − p) 2 of the parsed words of X by Lemma 4. D ′ is the subset of D ′′ which consists of only words that have frequency > 1 n ′ .Considerawordvparsed from X. The probability that a word w from D ′ is not v is < 1 − 1 n ′ by construction. X has an expected number n L parsed words. By Lemma 1, there are an expected 2 n number (1 − p) L words with length in the range between c′ L and L p .The probability that w is none of these words is therefore < (1 − 1 n ′ n (1−p)2 ) L ≈ 1 e . Thus, a word w in D ′ is some parsed word of X with probability > 1 − 1 e .
DNA-based Cryptography 181 4.4 DNA-SIEVE: Plaintext Extraction Without the Key Strand separation operates on a test tube of DNA, using recombinant DNA technology to split the contents into two tubes, T and T ′ with separation error rates σ− ,σ + :0
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Lecture Notes in Computer Science 2
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Nata˘sa Jonoska Gheorghe Păun Grz
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Thomas J. Head
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VIII Preface portant to keep in min
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X Table of Contents Formal Properti
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Solving Graph Problems by P Systems
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where Solving Graph Problems by P S
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Writing Information into DNA Masano
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Writing Information into DNA 25 Ham
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Writing Information into DNA 27 Fig
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Writing Information into DNA 29 Dea
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5 Results 5.1 DNA Code for the Engl
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Writing Information into DNA 33 3.
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Writing Information into DNA 35 101
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Balance Machines: Computing = Balan
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+ .. . + Balance Machines: Computin
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x Balance Machines: Computing = Bal
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1 Balance Machines: Computing = Bal
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Eilenberg P Systems with Symbol-Obj
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2 Definitions Definition 1. A strea
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5 Conclusions Eilenberg P Systems w
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Molecular Tiling and DNA Self-assem
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3 Molecular Self-assembly Processes
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8 Hierarchical Tiling Molecular Til
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References Molecular Tiling and DNA
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On Some Classes of Splicing Languag
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ˆxa ˆby ✬ ✩✬ ✩ a b x y
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The Power of Networks of Watson-Cri
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Fixed Point Approach to Commutation
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Here the last one holds if and only
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Page 139 and 140: � � � � � Fixed Point App
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Page 143 and 144: Remarks on Relativisations and DNA
Page 149 and 150: Splicing Test Tube Systems and Thei
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Page 159 and 160: I0 Ai i Splicing Test Tube Systems
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Page 163 and 164: Digital Information Encoding on DNA
Page 177 and 178: DNA-based Cryptography Ashish Gehan
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Page 181 and 182: DNA-based Cryptography 171 The one-
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Page 185 and 186: DNA-based Cryptography 175 Fig. 3.
Page 187 and 188: DNA-based Cryptography 177 the comp
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Page 193 and 194: DNA-based Cryptography 183 Fig. 7.
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Page 197 and 198: DNA-based Cryptography 187 30. C. M
Page 199 and 200: Splicing to the Limit Elizabeth Goo
Page 201 and 202: Splicing to the Limit 191 molecular
Page 203 and 204: Splicing to the Limit 193 Discussio
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Page 209 and 210: Finally we define the limit languag
Page 211 and 212: 6 Conclusion Splicing to the Limit
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Page 227 and 228: n-Insertion on Languages 217 Theore
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Transducers with Programmable Input
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start tile Transducers with Program
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Methods for Constructing Coded DNA
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u u Methods for Constructing Coded
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On the Universality of P Systems wi
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An Algorithm for Testing Structure
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Definition 1. Define the relation
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280 Manfred Kudlek Definition 5. Co
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On Languages of Cyclic Words 283 Th
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On Languages of Cyclic Words 285 No
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On Languages of Cyclic Words 287 Th
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A DNA Algorithm for the Hamiltonian
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Formal Languages Arising from Gene
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A Proof of Regularity for Finite Sp
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--- ◦ ❄ ⊗ γ ✲ A Proof of R
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The Duality of Patterning in Molecu
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The Duality of Patterning in Molecu
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Membrane Computing: Some Non-standa
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where: Membrane Computing: Some Non
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where: Membrane Computing: Some Non
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The P Versus NP Problem Through Cel
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Realizing Switching Functions Using
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Realizing Switching Functions Using
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AND Gate Realizing Switching Functi
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NOR Gate Realizing Switching Functi
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Plasmids to Solve #3SAT Rani Siromo
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Plasmids to Solve #3SAT 363 A comme
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Plasmids to Solve #3SAT 365 from th
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Communicating Distributed H Systems
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Proof Communicating Distributed H S
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Books: Publications by Thomas J. He
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Publications by Thomas J. Head 387
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Publications by Thomas J. Head 389
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LNCS 2950 - Aspects of Molecular Computing (Frontmatter Pages)

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