"Muzika, Franti\u0161ek" . "RIV/60461373:22340/13:43895646" . "We study a model system of three diffusively coupled reaction cells arranged in a linear array that display Turing patterns with special focus on the case of equal coupling strength for all components. As a suitable model reaction we consider a two-variable core model of glycolysis. Using numerical continuation and bifurcation techniques we analyze the dependence of the system's steady states on varying rate coefficient of the recycling step while the coupling coefficients of the inhibitor and activator are fixed and set at the ratios 100:1, 1:1 and 4:5. We show that stable Turing patterns occur at all three ratios but, as expected, spontaneous transition from the spatially uniform steady state to the spatially nonuniform Turing patterns occurs only in the first case. The other two cases possess multiple Turing patterns, which are stabilized by secondary bifurcations and coexist with stable uniform periodic oscillations. For the 1:1 ratio we examine modular spatiotemporal perturbations, which would allow us to controllably switch between the uniform oscillations and various Turing patterns. Such modular perturbations are then used to construct chemical computing devices utilizing the multiple Turing patterns. By classifying various responses we propose: a) a single-input resettable sensor capable of reading certain value of concentration, b) a two-input memory array capable of storing logic information, c) three-input, three-output logic gates involving logical functions OR, XOR, AND and NAND." . "Control of Turing patterns and their usage as sensors, memory arrays, and logic gates" . . . "10"^^ . . "Control of Turing patterns and their usage as sensors, memory arrays, and logic gates" . "We study a model system of three diffusively coupled reaction cells arranged in a linear array that display Turing patterns with special focus on the case of equal coupling strength for all components. As a suitable model reaction we consider a two-variable core model of glycolysis. Using numerical continuation and bifurcation techniques we analyze the dependence of the system's steady states on varying rate coefficient of the recycling step while the coupling coefficients of the inhibitor and activator are fixed and set at the ratios 100:1, 1:1 and 4:5. We show that stable Turing patterns occur at all three ratios but, as expected, spontaneous transition from the spatially uniform steady state to the spatially nonuniform Turing patterns occurs only in the first case. The other two cases possess multiple Turing patterns, which are stabilized by secondary bifurcations and coexist with stable uniform periodic oscillations. For the 1:1 ratio we examine modular spatiotemporal perturbations, which would allow us to controllably switch between the uniform oscillations and various Turing patterns. Such modular perturbations are then used to construct chemical computing devices utilizing the multiple Turing patterns. By classifying various responses we propose: a) a single-input resettable sensor capable of reading certain value of concentration, b) a two-input memory array capable of storing logic information, c) three-input, three-output logic gates involving logical functions OR, XOR, AND and NAND."@en . "Control of Turing patterns and their usage as sensors, memory arrays, and logic gates"@en . . "http://scitation.aip.org/content/aip/journal/jcp/139/16/10.1063/1.4825379?ver=pdfcov" . "2"^^ . "P(GA203/09/2091), S" . "2"^^ . "22340" . . "0021-9606" . . . . "neuvedeno" . "66973" . "RIV/60461373:22340/13:43895646!RIV14-GA0-22340___" . . . . "000326637500011" . . "10.1063/1.4825379" . "[B3A36385B81E]" . . "139" . "logic gate; memory array; sensor; chemical computing; glycolysis; Turing pattern"@en . . "Schreiber, Igor" . . . . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . . . "Journal of Chemical Physics" . . "Control of Turing patterns and their usage as sensors, memory arrays, and logic gates"@en . .