-
1
-
-
33645429016
-
Exact stochastic simulation of coupled chemical reactions
-
Gillespie DT (1977) Exact stochastic simulation of coupled chemical reactions. J Phys Chem 81:2340-2361
-
(1977)
J Phys Chem
, vol.81
, pp. 2340-2361
-
-
Gillespie, D.T.1
-
2
-
-
0031879114
-
Stochastic kinetic analysis of a developmental pathway bifurcation in phage-l Escherichia coli
-
Arkin AP, Ross J, McAdams HH (1998) Stochastic kinetic analysis of a developmental pathway bifurcation in phage-l Escherichia coli. Genetics 149:1633-1648
-
(1998)
Genetics
, vol.149
, pp. 1633-1648
-
-
Arkin, A.P.1
Ross, J.2
McAdams, H.H.3
-
3
-
-
0001144902
-
Efficient exact stochastic simulation of chemical systems with many species and many channels
-
Gibson M, Bruck J (2000) Efficient exact stochastic simulation of chemical systems with many species and many channels. J Phys Chem A 104:1876-1889
-
(2000)
J Phys Chem A
, vol.104
, pp. 1876-1889
-
-
Gibson, M.1
Bruck, J.2
-
4
-
-
0029394767
-
Does replication-induced transcription regulate synthesis of the myriad low copy number proteins of Escherichia coli?
-
Guptasarma P (1995) Does replication-induced transcription regulate synthesis of the myriad low copy number proteins of Escherichia coli? Bioessays 17:987-997
-
(1995)
Bioessays
, vol.17
, pp. 987-997
-
-
Guptasarma, P.1
-
5
-
-
0004238344
-
-
Oxford University Press, Oxford
-
Levin B (1999) Genes VII. Oxford University Press, Oxford
-
(1999)
Genes VII
-
-
Levin, B.1
-
6
-
-
0031029852
-
Stochastic mechanisms in gene expression
-
McAdams HH, Arkin AP (1997) Stochastic mechanisms in gene expression. Proc Natl Acad Sci 94:814-819
-
(1997)
Proc Natl Acad Sci
, vol.94
, pp. 814-819
-
-
McAdams, H.H.1
Arkin, A.P.2
-
8
-
-
33645293152
-
An excitable gene regulatory circuit induces transient cellular differentiation
-
Suel GM, Garcia-Ojalvo J, Liberman LM, Elowitz MB (2006) An excitable gene regulatory circuit induces transient cellular differentiation. Nature 440:545-550
-
(2006)
Nature
, vol.440
, pp. 545-550
-
-
Suel, G.M.1
Garcia-Ojalvo, J.2
Liberman, L.M.3
Elowitz, M.B.4
-
9
-
-
0001683140
-
Decidability issues for Petri nets—a survey
-
Esparza J, Nielsen M (1994) Decidability issues for Petri nets—a survey. J Inf Process Cybern 3:143-160
-
(1994)
J Inf Process Cybern
, vol.3
, pp. 143-160
-
-
Esparza, J.1
Nielsen, M.2
-
12
-
-
35248830837
-
Fractran: A simple universal programming language for arithmetic. Springer
-
Conway JH (1987) Fractran: a simple universal programming language for arithmetic. Springer, New York, chap 2, pp 4-26
-
(1987)
New York, Chap
, vol.2
, pp. 4-26
-
-
Conway, J.H.1
-
14
-
-
56449122348
-
Computation with finite stochastic chemical reaction networks
-
Soloveichik D, Cook M, Winfree E, Bruck J (2008) Computation with finite stochastic chemical reaction networks. Nat Comput. doi:10.1007/s11047-008-9067-y
-
(2008)
Nat Comput
-
-
Soloveichik, D.1
Cook, M.2
Winfree, E.3
Bruck, J.4
-
15
-
-
54249100471
-
Termination problems in chemical kinetics
-
van Breugel F, Chechik M, Springer, Berlin
-
Zavattaro G, Cardelli L (2008) Termination problems in chemical kinetics. In: van Breugel F, Chechik M (eds) CONCUR. Lecture notes in computer science, vol 5201. Springer, Berlin, pp 477-491
-
(2008)
CONCUR. Lecture Notes in Computer Science
, vol.5201
, pp. 477-491
-
-
Zavattaro, G.1
Cardelli, L.2
-
17
-
-
56449099378
-
-
Technical Report YALEU/DCS/TR-1358, Yale University Department of Computer Science. Extended abstract to appear, DISC 2006
-
Angluin D, Aspnes J, Eisenstat D (2006) Fast computation by population protocols with a leader. Technical Report YALEU/DCS/TR-1358, Yale University Department of Computer Science. Extended abstract to appear, DISC 2006
-
(2006)
Fast Computation by Population Protocols with a Leader
-
-
Angluin, D.1
Aspnes, J.2
Eisenstat, D.3
-
18
-
-
0010146684
-
The thermodynamics of computation—a review
-
Bennett CH (1982) The thermodynamics of computation—a review. Int J Theor Phys 21(12):905-939
-
(1982)
Int J Theor Phys
, vol.21
, Issue.12
, pp. 905-939
-
-
Bennett, C.H.1
-
19
-
-
0011037718
-
On the power of the splicing operation
-
Păun G (1995) On the power of the splicing operation. Int J Comput Math 59:27-35
-
(1995)
Int J Comput Math
, vol.59
, pp. 27-35
-
-
Păun, G.1
-
20
-
-
0011871597
-
Biological computing
-
Hemaspaandra LA, Selman AL (eds), Springer, Berlin
-
Kurtz SA, Mahaney SR, Royer JS, Simon J (1997) Biological computing. In: Hemaspaandra LA, Selman AL (eds) Complexity theory retrospective II. Springer, Berlin, pp 179-195
-
(1997)
Complexity Theory Retrospective II
, pp. 179-195
-
-
Kurtz, S.A.1
Mahaney, S.R.2
Royer, J.S.3
Simon, J.4
-
21
-
-
52949151220
-
On the computational power of biochemistry
-
Horimoto K, Regensburger G, Rosenkranz M, Yoshida H, Springer, Berlin
-
Cardelli L, Zavattaro G (2008) On the computational power of biochemistry. In: Horimoto K, Regensburger G, Rosenkranz M, Yoshida H (eds) AB. Lecture notes in computer science, vol 5147. Springer, Berlin, pp 65-80
-
(2008)
AB. Lecture Notes in Computer Science
, vol.5147
, pp. 65-80
-
-
Cardelli, L.1
Zavattaro, G.2
-
23
-
-
0037174201
-
A guide to membrane computing
-
Păun G, Rozenberg G (2002) A guide to membrane computing. Theor Comput Sci 287:73-100
-
(2002)
Theor Comput Sci
, vol.287
, pp. 73-100
-
-
Păun, G.1
Rozenberg, G.2
-
24
-
-
4243223597
-
Chemical kinetics is Turing universal
-
Magnasco MO (1997) Chemical kinetics is Turing universal. Phys Rev Lett 78:1190-1193
-
(1997)
Phys Rev Lett
, vol.78
, pp. 1190-1193
-
-
Magnasco, M.O.1
-
25
-
-
0026318379
-
Chemical implementation of neural networks and Turing machines
-
Hjelmfelt A, Weinberger ED, Ross J (1991) Chemical implementation of neural networks and Turing machines. Proc Natl Acad Sci 88:10983-10987
-
(1991)
Proc Natl Acad Sci
, vol.88
, pp. 10983-10987
-
-
Hjelmfelt, A.1
Weinberger, E.D.2
Ross, J.3
-
26
-
-
0004068620
-
-
Technical Report Schriften des IMM No 2. Institut für Instrumentelle Mathematik, Bonn
-
Petri CA (1962) Kommunikation mit Automaten. Technical Report Schriften des IMM No 2. Institut für Instrumentelle Mathematik, Bonn
-
(1962)
Kommunikation Mit Automaten
-
-
Petri, C.A.1
-
27
-
-
0032499741
-
Quantitative modeling of stochastic systems in molecular biology by using stochastic Petri nets
-
Goss PJE, Peccoud J (1998) Quantitative modeling of stochastic systems in molecular biology by using stochastic Petri nets. Proc Natl Acad Sci USA 95:6750-6755
-
(1998)
Proc Natl Acad Sci USA
, vol.95
, pp. 6750-6755
-
-
Goss, P.1
Peccoud, J.2
-
28
-
-
0006471292
-
Persistence of vector replacement systems is decidable
-
Mayr EW (1981) Persistence of vector replacement systems is decidable. Acta Inform 15:309-318
-
(1981)
Acta Inform
, vol.15
, pp. 309-318
-
-
Mayr, E.W.1
-
29
-
-
33750296738
-
The decidability of the reachability problem for vector addition systems (Preliminary version)
-
Boulder
-
Sacerdote GS, Tenney RL (1977) The decidability of the reachability problem for vector addition systems (preliminary version). In: 9th annual symposium on theory of computing, Boulder, pp 61-76
-
(1977)
In: 9Th Annual Symposium on Theory of Computing
, pp. 61-76
-
-
Sacerdote, G.S.1
Tenney, R.L.2
-
31
-
-
43749108705
-
-
PhD thesis, California Institute of Technology
-
Cook M (2005) Networks of relations. PhD thesis, California Institute of Technology
-
(2005)
Networks of Relations
-
-
Cook, M.1
-
32
-
-
0022662959
-
A multiparameter analysis of the boundedness problem for vector addition systems
-
Rosier LE, Yen H-C (1986) A multiparameter analysis of the boundedness problem for vector addition systems. J Comput Syst Sci 32:105-135
-
(1986)
J Comput Syst Sci
, vol.32
, pp. 105-135
-
-
Rosier, L.E.1
Yen, H.-C.2
-
33
-
-
85019969141
-
Begründung der elementaren Arithmetik durch die rekurrierende Denkweise ohne anwendung scheinbarer Veränderlichen mit unendlichem Ausdehnungsbereich. Videnskapsselskapets Skrifter. 1
-
Skolem T (1923) Begründung der elementaren Arithmetik durch die rekurrierende Denkweise ohne anwendung scheinbarer Veränderlichen mit unendlichem Ausdehnungsbereich. Videnskapsselskapets Skrifter. 1. Matematisk-naturvidenskabelig Klasse, 6
-
(1923)
Matematisk-Naturvidenskabelig Klasse
, pp. 6
-
-
Skolem, T.1
-
34
-
-
34347193348
-
Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme, I
-
Gödel K (1931) Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme, I. Monatschefte Math Phys 38:173-198
-
(1931)
Monatschefte Math Phys
, vol.38
, pp. 173-198
-
-
Gödel, K.1
-
35
-
-
84960561455
-
On computable numbers, with and application to the Entscheidungsproblem
-
Turing A (1936-1937) On computable numbers, with and application to the Entscheidungsproblem. Proc Lond Math Soc 42(2):230-265
-
(1936)
Proc Lond Math Soc
, vol.42
, Issue.2
, pp. 230-265
-
-
Turing, A.1
-
36
-
-
0001680003
-
Zum hilbertschen Aufbau der reellen Zahlen
-
Ackermann W (1928) Zum hilbertschen Aufbau der reellen Zahlen. Math Ann 99:118-133
-
(1928)
Math Ann
, vol.99
, pp. 118-133
-
-
Ackermann, W.1
-
37
-
-
20444480881
-
Sur la non-contradiction de l’arithmétique
-
Herbrand J (1931) Sur la non-contradiction de l’arithmétique. J Reine Angew Math 166:1-8
-
(1931)
J Reine Angew Math
, vol.166
, pp. 1-8
-
-
Herbrand, J.1
-
38
-
-
0003737497
-
On undecidable propositions of formal mathematical systems
-
Davis M (ed), Springer, Berlin, Lecture notes taken by Kleene and Rosser at Princeton
-
Gödel K (1934) On undecidable propositions of formal mathematical systems. In: Davis M (ed) The undecidable. Springer, Berlin, pp 39-74. Lecture notes taken by Kleene and Rosser at Princeton
-
(1934)
The Undecidable
, pp. 39-74
-
-
Gödel, K.1
-
39
-
-
0000954072
-
An unsolvable problem of elementary number theory
-
Church A (1936) An unsolvable problem of elementary number theory. Am J Math 58:345-363
-
(1936)
Am J Math
, vol.58
, pp. 345-363
-
-
Church, A.1
-
41
-
-
0043072319
-
A curious nim-type game
-
Gale D (1974) A curious nim-type game. Am Math Mon 81:876-879
-
(1974)
Am Math Mon
, vol.81
, pp. 876-879
-
-
Gale, D.1
-
42
-
-
0001699148
-
Recursive unsolvability of Post’s problem of ‘tag’ and other topics in theory of Turing machines
-
Minsky ML (1961) Recursive unsolvability of Post’s problem of ‘tag’ and other topics in theory of Turing machines. Ann Math 74:437-455
-
(1961)
Ann Math
, vol.74
, pp. 437-455
-
-
Minsky, M.L.1
-
43
-
-
33746332612
-
-
Technical Report NUIMCS-2005-TR-12, Dept. of Computer Science, NUI Maynooth
-
Neary T, Woods D (2005) A small fast universal Turing machine. Technical Report NUIMCS-2005-TR-12, Dept. of Computer Science, NUI Maynooth
-
(2005)
A Small Fast Universal Turing Machine
-
-
Neary, T.1
Woods, D.2
-
45
-
-
8744267587
-
Universality in elementary cellular automata
-
Cook M (2004) Universality in elementary cellular automata. Complex Syst 15:1-40
-
(2004)
Complex Syst
, vol.15
, pp. 1-40
-
-
Cook, M.1
-
46
-
-
35048830893
-
Self-assembled circuit patterns
-
Winfree E, Springer, Berlin
-
Cook M, Rothemund PWK (2004) Self-assembled circuit patterns. In: Winfree E (ed) DNA computing 9, vol 2943. Springer, Berlin, pp 91-107
-
(2004)
DNA Computing 9
, vol.2943
, pp. 91-107
-
-
Cook, M.1
Rothemund, P.2
|