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Journal articles on the topic 'Linea cellulare'

Author: Grafiati

Published: 9 March 2023

Last updated: 10 March 2023

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1

Triulzi, F. "Anomalie della linea mediana." Rivista di Neuroradiologia 7, no. 2 (April 1994): 187–98. http://dx.doi.org/10.1177/197140099400700207.

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Un moderno approccio alle malformazioni congenite della linea mediana non può non considerare le recenti acquisizioni della embriologia sperimentale. Già più di 40 anni or sono il famoso neuropatologo PI Yakovlev sottolineava l'importanza delle aree mediobasali del prosencefalo embrionario nella genesi delle malformazioni della linea mediana. Attualmente questa affermazione è stata confermata dalla conoscenza della esatta posizione anatomica nell'embrione di 22–24 settimane di gestazione delle future regioni della linea mediana. La adeno e la neuroipofisi, l'ipotalamo il chiasma ed il piatto commissurale sono tutti compresi in una ristretta regione nella parte medio-rostrale del tuba neurale. Le principali anomalie della linea mediana quali: la oloprosencefalia, l'agenesia del corpo callosa e del setto pellucida, potrebbero essere causate da interruzioni nelle differenti fasi di induzione di questa regione. Il meccanismo di regolazione genetica della differenziazione cellulare del sistema nervosa centrale è stato in parte chiarito in questi ultimi anni. Esso procede attraverso un processo di segmentazione all'interno del quale la parte mediobasale del tuba neurale potrebbe rappresentare il segmento più rostrale. A sua volta neuroipofisi, ipotalamo etc, potrebbero rappresentare dei sottosegmenti di questo segmento principale. Una mancata attivazione dei geni che regolano la differenziazione dei diversi segmenti e sottosegmenti potrebbe quindi essere alla base di gran parte delle malformazioni della linea mediana.

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2

De Angeli, S., S. Buoro, C. Favretti, M. Bonini, A. Fandella, and G. Anselmo. "Crescita e morfologia della linea cellulare prostatica umana U285 trattata con mepartricina, finasteride e suramina: Confronto tra i farmaci." Urologia Journal 61, no. 1_suppl (January 1994): 178–83. http://dx.doi.org/10.1177/039156039406101s54.

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The aim of this study was to compare the effects of mepartricin on the proliferation and morphology of U285 cells with those induced by suramin and finasteride, both substances which have been investigated previously. Proliferation was evaluated by the FRAME Cytotoxicity Test, exposing the cells to increasing doses of mepartricin, between 0.1 μg/ml and 5 μg/ml, from the moment of seeding for 24 hours. The morphology was evaluated by scanning electron microscope (SEM). The FRAME Test showed a statistically significant decrease (p<0.05) in proliferation at all times of observation and at all doses in those cultures exposed to mepartricin right from seeding. Those where treatment was given 24 hours later, only showed this decrease with the highest doses. SEM highlighted the reduced capacity of the cells to proliferate, confirming data from the FRAME Test. These results therefore indicate that mepartricin has an anti-proliferation effect both in the Lag phase and the logarithmic growth phase. This behaviour differs from that of suramin and finasteride, which have less marked effect on cellular growth.

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3

Wang, Hongliang, Fabio Squina, Fernando Segato, Andrew Mort, David Lee, Kirk Pappan, and Rolf Prade. "High-Temperature Enzymatic Breakdown of Cellulose." Applied and Environmental Microbiology 77, no. 15 (June 17, 2011): 5199–206. http://dx.doi.org/10.1128/aem.00199-11.

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ABSTRACTCellulose is an abundant and renewable biopolymer that can be used for biofuel generation; however, structural entrapment with other cell wall components hinders enzyme-substrate interactions, a key bottleneck for ethanol production. Biomass is routinely subjected to treatments that facilitate cellulase-cellulose contacts. Cellulases and glucosidases act by hydrolyzing glycosidic bonds of linear glucose β-1,4-linked polymers, producing glucose. Here we describe eight high-temperature-operating cellulases (TCel enzymes) identified from a survey of thermobacterial and archaeal genomes. Three TCel enzymes preferentially hydrolyzed soluble cellulose, while two preferred insoluble cellulose such as cotton linters and filter paper. TCel enzymes had temperature optima ranging from 85°C to 102°C. TCel enzymes were stable, retaining 80% of initial activity after 120 h at 85°C. Two modes of cellulose breakdown, i.e., with endo- and exo-acting glucanases, were detected, and with two-enzyme combinations at 85°C, synergistic cellulase activity was observed for some enzyme combinations.

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4

Maeda, Ayaka, Daisuke Tatsumi, and Mitsuhiro Morita. "Linear and Nonlinear Rheological Properties of Tunicate Cellulose Solution." Nihon Reoroji Gakkaishi 45, no. 2 (2017): 107–12. http://dx.doi.org/10.1678/rheology.45.107.

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5

Feng, Chun-Hsiung, Ming-Shaung Ju, Chou-Ching Lin, and H. M. Lan. "QUASI-LINEAR VISCOELASTIC PROPERTIES OF PC-12 CELLS(3A1 Cellular & Tissue Engineering & Biomaterials I)." Proceedings of the Asian Pacific Conference on Biomechanics : emerging science and technology in biomechanics 2007.3 (2007): S167. http://dx.doi.org/10.1299/jsmeapbio.2007.3.s167.

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6

Beyisa Benti Diro, Tadessa Daba, and Temam Gemeda Genemo. "Production and characterization of cellulase from mushroom (Pleurotus ostreatus) for effective degradation of cellulose." International Journal of Biological and Pharmaceutical Sciences Archive 2, no. 1 (August 30, 2021): 135–50. http://dx.doi.org/10.53771/ijbpsa.2021.2.1.0066.

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Cellulases are a group of hydrolytic enzymes capable of hydrolyzing the most abundant organic polymer that means cellulose to smaller sugar components including glucose subunits. The aim of this study was to screen cellulase producing oyster mushroom collected from Eucalyptus tree bark to evaluate the in vitro production of cellulase by Pleurotus ostreatus using different lignocellulosic substrates, and to characterize the cellulase produced with respect to changes in pH, temperature, and concentration of substrates. A total of ten mushroom specimens were randomly collected from Eucalyptus tree bark in the premise of Holetta Agricultural Research Center campus. All of the collected mushroom specimens were identified morphologically and biochemically as Pleurotus ostreatus and also screened for their ability to produce cellulase by detecting and measuring zone of hydrolysis on commercial media containing Carbxymethyl Cellulose (CMC) as the sole carbon source. These mushroom specimens were cultivated using both solid state fermentation and submerged fermentation systems supplemented with different lignocellulosic substrates (wheat straw, teff straw, bean straw, wood fiber and Eucalyptus tree bark) to identify the most suitable medium for the production of cellulase. The highest enzyme production was obtained on bean straw and wheat straw which resulted in 0.191 U/ml, 0.868 U/ml and 0.389 U/ml; and 0.216 U/ml, 0.444 U/ml, and 0.245 U/ml of FPase, CMCase, and β-glucosidase in solid state fermentation. The lowest values were, however, obtained in media containing wood fiber in both solid state fermentation and submerged fermentation. Comparison of the lignocellulosic substrates revealed that wheat straw was selected for further growth parameter optimization. The production of cellulase was higher at the 5th day of incubation period, and the optimum pH and incubation temperature required for maximum cellulase production were 4 and 30°C, respectively. Sucrose and Yeast extract at 1% concentration were found to be the most preferred carbon and nitrogen sources for cellulase production by Pleurotus ostreatus. The optimum pH and temperature for cell_free cellulase activity on were found to be 4 and 50°C, respectively. Generally the cellulases produced by Pleurotus ostreatus were stable and active at temperatures ranging from 20-50°C. These characteristics hopefully would make this enzyme potentially attractive in a variety of industrial applications including animal feed treatments. There was a linear relationship between cellulase and its substrate concentration for there was an increase in activity with increase in substrate concentration. The relationship between rate of reaction and substrate concentration depended on the affinity of the enzyme for its substrate. Finally the cellulase was tested for its ability to saccharify agricultural wastes and the results showed the highest release of sugars from wheat straw.

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7

Hayes, Alethea M., Aijun Wang, Benjamin M. Dempsey, and David L. McDowell. "Mechanics of linear cellular alloys." Mechanics of Materials 36, no. 8 (August 2004): 691–713. http://dx.doi.org/10.1016/j.mechmat.2003.06.001.

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8

Manzini, Giovanni, and Luciano Margara. "Invertible Linear Cellular Automata overZm:." Journal of Computer and System Sciences 56, no. 1 (February 1998): 60–67. http://dx.doi.org/10.1006/jcss.1997.1535.

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9

Manzini, Giovanni, and Luciano Margara. "Attractors of Linear Cellular Automata." Journal of Computer and System Sciences 58, no. 3 (June 1999): 597–610. http://dx.doi.org/10.1006/jcss.1998.1609.

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10

Martı´n del Rey, A., and G. Rodrı´guez Sánchez. "Reversibility of linear cellular automata." Applied Mathematics and Computation 217, no. 21 (July 2011): 8360–66. http://dx.doi.org/10.1016/j.amc.2011.03.033.

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11

Takahashi, Satoshi. "Cellular automata and multifractals: Dimension spectra of linear cellular automata." Physica D: Nonlinear Phenomena 45, no. 1-3 (September 1990): 36–48. http://dx.doi.org/10.1016/0167-2789(90)90172-l.

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12

Takahashi, Satoshi. "Limiting behaviour of linear cellular automata." Proceedings of the Japan Academy, Series A, Mathematical Sciences 63, no. 6 (1987): 182–85. http://dx.doi.org/10.3792/pjaa.63.182.

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13

Grandjean, Anaël, Gaétan Richard, and Véronique Terrier. "Linear functional classes over cellular automata." Electronic Proceedings in Theoretical Computer Science 90 (August 13, 2012): 177–93. http://dx.doi.org/10.4204/eptcs.90.15.

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14

Chin, William, Barbara Cortzen, and Jerry Goldman. "Linear cellular automata with boundary conditions." Linear Algebra and its Applications 322, no. 1-3 (January 2001): 193–206. http://dx.doi.org/10.1016/s0024-3795(00)00227-5.

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15

Allouche, J. P., F. V. Haeseler, E. Lange, A. Petersen, and G. Skordev. "Linear cellular automata and automatic sequences." Parallel Computing 23, no. 11 (November 1997): 1577–92. http://dx.doi.org/10.1016/s0167-8191(97)00074-4.

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16

Sutner, Klaus. "Linear cellular automata and Fischer automata." Parallel Computing 23, no. 11 (November 1997): 1613–34. http://dx.doi.org/10.1016/s0167-8191(97)00080-x.

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17

Le Bruyn, L., and M. Van den Bergh. "Algebraic properties of linear cellular automata." Linear Algebra and its Applications 157 (November 1991): 217–34. http://dx.doi.org/10.1016/0024-3795(91)90116-e.

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18

Sato, Tadakazu. "Surjective linear cellular automata over m." Information Processing Letters 66, no. 2 (April 1998): 101–4. http://dx.doi.org/10.1016/s0020-0190(98)00035-0.

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19

Aso, Hirotomo, and Namio Honda. "Dynamical characteristics of linear cellular automata." Journal of Computer and System Sciences 30, no. 3 (June 1985): 291–317. http://dx.doi.org/10.1016/0022-0000(85)90048-0.

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20

Takahashi, Satoshi. "Self-similarity of linear cellular automata." Journal of Computer and System Sciences 44, no. 1 (February 1992): 114–40. http://dx.doi.org/10.1016/0022-0000(92)90007-6.

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21

Yukita, Shûichi. "Linear cellular automata on Cayley graphs." Japan Journal of Industrial and Applied Mathematics 18, no. 1 (February 2001): 15–24. http://dx.doi.org/10.1007/bf03167352.

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22

López-Contreras, Ana M., Krisztina Gabor, Aernout A. Martens, Bernadet A. M. Renckens, Pieternel A. M. Claassen, John van der Oost, and Willem M. de Vos. "Substrate-Induced Production and Secretion of Cellulases by Clostridium acetobutylicum." Applied and Environmental Microbiology 70, no. 9 (September 2004): 5238–43. http://dx.doi.org/10.1128/aem.70.9.5238-5243.2004.

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ABSTRACT Clostridium acetobutylicum ATCC 824 is a solventogenic bacterium that grows heterotrophically on a variety of carbohydrates, including glucose, cellobiose, xylose, and lichenan, a linear polymer of β-1,3- and β-1,4-linked β-d-glucose units. C. acetobutylicum does not degrade cellulose, although its genome sequence contains several cellulase-encoding genes and a complete cellulosome cluster of cellulosome genes. In the present study, we demonstrate that a low but significant level of induction of cellulase activity occurs during growth on xylose or lichenan. The celF gene, located in the cellulosome-like gene cluster and coding for a unique cellulase that belongs to glycoside hydrolase family 48, was cloned in Escherichia coli, and antibodies were raised against the overproduced CelF protein. A Western blot analysis suggested a possible catabolite repression by glucose or cellobiose and an up-regulation by lichenan or xylose of the extracellular production of CelF by C. acetobutylicum. Possible reasons for the apparent inability of C. acetobutylicum to degrade cellulose are discussed.

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23

Zhao, Yanlin, Jiansha Lu, and Wenchao Yi. "A new cellular manufacturing layout: Multi-floor linear cellular manufacturing layout." International Journal of Advanced Robotic Systems 17, no. 3 (May 1, 2020): 172988142092530. http://dx.doi.org/10.1177/1729881420925300.

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The article puts forward the new layout methodology of the multi-floor linear cellular manufacturing layout. The proposed equipment layout methodology not just breaks the conventional single-floor linear cellular manufacturing layout but also meets the layout requirements of the intelligent manufacturing workshop for the stereoscopic aisle manufacturing cell. The layout methodology takes into account the least space occupation as well as the shortest total distance of logistics as the objective function, besides considering the limitations that exist between the equipment, different planes, different levels, and so on; also, a mathematical model is put forward. The multi-floor linear cellular manufacturing layout is solved based on the self-adapting multi-objective fruit fly optimization algorithm that refers to an algorithm combining fruit fly optimization algorithm and NSGA-II. Self-adapting multi-objective fruit fly optimization algorithm makes use of the fast nondominated sorting for the multi-target food concentration calculation, together with designing the adaptive olfactory search and visual search, and employing the perturbation operations for flight strategies, aimed at ensuring the population diversity. Simulation cases suggest that self-adapting multi-objective fruit fly optimization algorithm has stronger advantages as compared with multi-objective fruit fly algorithm and elitist non-dominated sorting genetic algorithm (NSGA-II) in the solution of multi-floor linear cellular manufacturing layout problems. The final engineering case application sheds light on the fact that multi-floor linear cellular manufacturing layout saves 57.6% of the area, in addition to 23.7% of space, and 29.2% of the handling distance as compared with single-floor linear cellular manufacturing layout. Accordingly, multi-floor linear cellular manufacturing layout has a specific reference value in the layout of facilities in the intelligent manufacturing plants.

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24

Mojica, Eduardo, Alain Gauthier, and Naly Rakoto-Ravalontsalama. "PIECEWISE-LINEAR APPROXIMATION OF NONLINEAR CELLULAR GROWTH." IFAC Proceedings Volumes 40, no. 20 (2007): 470–75. http://dx.doi.org/10.3182/20071017-3-br-2923.00075.

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25

Ban, Jung-Chao, and Chih-Hung Chang. "The Topological Pressure of Linear Cellular Automata." Entropy 11, no. 2 (May 11, 2009): 271–84. http://dx.doi.org/10.3390/e11020271.

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26

DEL REY, A. MARTÍN, and G. RODRÍGUEZ SÁNCHEZ. "REVERSIBILITY OF A SYMMETRIC LINEAR CELLULAR AUTOMATA." International Journal of Modern Physics C 20, no. 07 (July 2009): 1081–86. http://dx.doi.org/10.1142/s0129183109014217.

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The characterization of the size of the cellular space of a particular type of reversible symmetric linear cellular automata is introduced in this paper. Specifically, it is shown that those symmetric linear cellular with 2k + 1 cells, and whose transition matrix is a k-diagonal square band matrix with nonzero entries equal to 1 are reversible. Furthermore, in this case the inverse cellular automata are explicitly computed. Moreover, the reversibility condition is also studied for a general number of cells.

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27

Sato, Tadakazu. "Group structured linear cellular automata over Zm." Journal of Computer and System Sciences 49, no. 1 (August 1994): 18–23. http://dx.doi.org/10.1016/s0022-0000(05)80083-2.

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28

Ceccherini-Silberstein, Tullio, and Michel Coornaert. "Injective linear cellular automata and sofic groups." Israel Journal of Mathematics 161, no. 1 (October 2007): 1–15. http://dx.doi.org/10.1007/s11856-007-0069-8.

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29

Sato, Tadakazu. "Ergodicity of linear cellular automata over m." Information Processing Letters 61, no. 3 (February 1997): 169–72. http://dx.doi.org/10.1016/s0020-0190(96)00206-2.

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30

Sapuppo, F., M. Bucolo, M. Intaglietta, L. Fortuna, and P. Arena. "Cellular non-linear networks for microcirculation applications." International Journal of Circuit Theory and Applications 34, no. 4 (2006): 471–88. http://dx.doi.org/10.1002/cta.368.

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31

Fokkink, Robbert, and Reem Yassawi. "Topological rigidity of linear cellular automaton shifts." Indagationes Mathematicae 29, no. 4 (August 2018): 1105–13. http://dx.doi.org/10.1016/j.indag.2018.05.011.

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32

Alabdalall, Amira H., Asma A. Almutari, Sumayh A. Aldakeel, Ahmed M. Albarrag, Lena A. Aldakheel, Maryam H. Alsoufi, Lulwah Y. Alfuraih, and Hesham M. Elkomy. "Bioethanol Production from Lignocellulosic Biomass Using Aspergillus niger and Aspergillus flavus Hydrolysis Enzymes through Immobilized S. cerevisiae." Energies 16, no. 2 (January 11, 2023): 823. http://dx.doi.org/10.3390/en16020823.

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Lignocellulose, the main component of a plant cell wall, is a potential renewable bioenergy source. It is composed of cellulose, hemicellulose, and lignin structures. Cellulose is a linear polysaccharide that is hydrolyzed chemically or enzymatically by cellulase. The addition of lignocellulosic biomass, such as wheat bran and coffee pulp, into the fermentation culture, induces the production of cellulases. Cellulose accounts for 20% of the enzyme market worldwide, demonstrating benefits in diverse applications, especially bioethanol and biogas generation. The aim is to evaluate the optimal condition for bioethanol production by previously isolated fungal species from different soil types in the eastern region of the Kingdom of Saudi Arabia. This study attempts to evaluate and optimize the culture conditions of lignocellulosic biomass under SSF using the highest cellulases-producer strains in the region: Aspergillus niger and Aspergillus flavus (GenBank Accession No. MT328516 and MT328429, respectively) to produce raw sugar that consequently is used in the next step of bioethanol production. This process has two parts: (1) hydrolyze lignocellulosic biomass to obtain raw sugar using A. niger and A. flavus that produce cellulase, and (2) produce bioethanol through the conversion of the raw sugar produced from the cellulolysis into ethanol using Saccharomyces cerevisiae. The optimal conditions under SSF were seven days of incubation, 5% glucose as a carbon source, 1% ammonium sulfate as a nitrogen source, and 80% moisture for both isolates. Biochemical characterization showed stability for the immobilized enzyme in all temperature ranges (from 20 °C to 70 °C), while the free enzyme exhibited its maximum at 20 °C of 1.14 IU/mL. CMCase production was the highest at pH 4.0 (1.26 IU/mL) for free enzyme and at pH 5.0 (2.09 IU/mL) for the immobilized form. The CMCase activity increased steadily with an increase in water level and attained a maximum of 80% moisture content. The maximum enzyme activity was with coffee pulp as a substrate of 7.37 IU/mL and 6.38 IU/mL for A. niger and A. flavus after seven days of incubation, respectively. The Carboxymethyl Cellulase (CMCase) activity in immobilized enzymes showed good storage stability under SSF for six weeks, maintaining 90% of its initial activity, while the free enzyme retained only 59% of its original activity. As a carbon source, glucose was the best inducer of CMCase activity with coffee pulp substrate (7.41 IU/mL and 6.33 IU/mL for A. niger and A. flavus, respectively). In both fungal strains, ammonium sulfate caused maximum CMCase activities with coffee pulp as substrate (7.62 IU/mL and 6.47 IU/mL for A. niger and A. flavus, respectively). Immobilized S. cerevisiae showed an increase in ethanol production compared to free cells. In the case of immobilized S. cerevisiae cells, the concentration of ethanol was increased steadily with increasing fermentation time and attained a maximum of 71.39 mg/mL (A. niger) and 11.73 mg/mL (A. flavus) after 72 h of fermentation.

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33

Chen, Pan, Yu Ogawa, Yoshiharu Nishiyama, Ahmed E. Ismail, and Karim Mazeau. "Linear, non-linear and plastic bending deformation of cellulose nanocrystals." Physical Chemistry Chemical Physics 18, no. 29 (2016): 19880–87. http://dx.doi.org/10.1039/c6cp00624h.

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Bending deformation of cellulose nanocrystal is investigated by using multi-scale modeling and transmission electron microscopy, which highlights importance of shear contribution in the deformation behavior of cellulose.

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34

Halmai, Attila, and Attila Lukács. "New Linear-Electromagnetic Actuator Used for Cellular Phones." Periodica Polytechnica Mechanical Engineering 51, no. 1 (2007): 19. http://dx.doi.org/10.3311/pp.me.2007-1.03.

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35

Uguz, Selman, Uḡur Sahin, Hasan Akin, and Irfan Siap. "Self-Replicating Patterns in 2D Linear Cellular Automata." International Journal of Bifurcation and Chaos 24, no. 01 (January 2014): 1430002. http://dx.doi.org/10.1142/s021812741430002x.

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This paper studies the theoretical aspects of two-dimensional cellular automata (CAs), it classifies this family into subfamilies with respect to their visual behavior and presents an application to pseudo random number generation by hybridization of these subfamilies. Even though the basic construction of a cellular automaton is a discrete model, its macroscopic behavior at large evolution times and on large spatial scales can be a close approximation to a continuous system. Beyond some statistical properties, we consider geometrical and visual aspects of patterns generated by CA evolution. The present work focuses on the theory of two-dimensional CA with respect to uniform periodic, adiabatic and reflexive boundary CA (2D PB, AB and RB) conditions. In total, there are 512 linear rules over the binary field ℤ2for each boundary condition and the effects of these CA are studied on applications of image processing for self-replicating patterns. After establishing the representation matrices of 2D CA, these linear CA rules are classified into groups of nine and eight types according to their boundary conditions and the number of neighboring cells influencing the cells under consideration. All linear rules have been found to be rendering multiple self-replicating copies of a given image depending on these types. Multiple copies of any arbitrary image corresponding to CA find innumerable applications in real life situation, e.g. textile design, DNA genetics research, statistical physics, molecular self-assembly and artificial life, etc. We conclude by presenting a successful application for generating pseudo numbers to be used in cryptography by hybridization of these 2D CA subfamilies.

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36

Rowland, Eric, and Reem Yassawi. "Automaticity and Invariant Measures of Linear Cellular Automata." Canadian Journal of Mathematics 72, no. 6 (September 5, 2019): 1691–726. http://dx.doi.org/10.4153/s0008414x19000488.

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AbstractWe show that spacetime diagrams of linear cellular automata $\unicode[STIX]{x1D6F7}:\,\mathbb{F}_{p}^{\mathbb{Z}}\rightarrow \mathbb{F}_{p}^{\mathbb{Z}}$ with $(-p)$-automatic initial conditions are automatic. This extends existing results on initial conditions that are eventually constant. Each automatic spacetime diagram defines a $(\unicode[STIX]{x1D70E},\unicode[STIX]{x1D6F7})$-invariant subset of $\mathbb{F}_{p}^{\mathbb{Z}}$, where $\unicode[STIX]{x1D70E}$ is the left shift map, and if the initial condition is not eventually periodic, then this invariant set is nontrivial. For the Ledrappier cellular automaton we construct a family of nontrivial $(\unicode[STIX]{x1D70E},\unicode[STIX]{x1D6F7})$-invariant measures on $\mathbb{F}_{3}^{\mathbb{Z}}$. Finally, given a linear cellular automaton $\unicode[STIX]{x1D6F7}$, we construct a nontrivial $(\unicode[STIX]{x1D70E},\unicode[STIX]{x1D6F7})$-invariant measure on $\mathbb{F}_{p}^{\mathbb{Z}}$ for all but finitely many $p$.

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37

Tadaki, S. i., and S. Matsufuji. "Periodicity in One-Dimensional Finite Linear Cellular Automata." Progress of Theoretical Physics 89, no. 2 (February 1, 1993): 325–31. http://dx.doi.org/10.1143/ptp/89.2.325.

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38

Martín del Rey, Ángel. "Boolean linear differential operators on elementary cellular automata." International Journal of Modern Physics C 25, no. 06 (April 23, 2014): 1450009. http://dx.doi.org/10.1142/s0129183114500090.

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In this paper, the notion of boolean linear differential operator (BLDO) on elementary cellular automata (ECA) is introduced and some of their more important properties are studied. Special attention is paid to those differential operators whose coefficients are the ECA with rule numbers 90 and 150.

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39

Tadaki, Shin-ichi. "Orbits in one-dimensional finite linear cellular automata." Physical Review E 49, no. 2 (February 1, 1994): 1168–73. http://dx.doi.org/10.1103/physreve.49.1168.

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40

Cattell, K., and J. C. Muzio. "Synthesis of one-dimensional linear hybrid cellular automata." IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems 15, no. 3 (March 1996): 325–35. http://dx.doi.org/10.1109/43.489103.

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41

Mendivil, F., and D. Patterson. "Dynamics of finite linear cellular automata over $\z_N$." Rocky Mountain Journal of Mathematics 42, no. 2 (April 2012): 695–709. http://dx.doi.org/10.1216/rmj-2012-42-2-695.

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42

Guo, Kai-Hua, and Wen-Jei Yang. "Linear oscillatory cellular thermocapillary convection in liquid layers." Journal of Thermophysics and Heat Transfer 5, no. 1 (January 1991): 96–102. http://dx.doi.org/10.2514/3.232.

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43

DENET, BRUNO. "On Non-Linear Instabilities of Cellular Premixed Flames." Combustion Science and Technology 92, no. 1-3 (July 1993): 123–44. http://dx.doi.org/10.1080/00102209308907665.

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Sato, Tadakazu. "Ergodic characterization of linear cellular automata over Zm." Theoretical Computer Science 205, no. 1-2 (September 1998): 135–44. http://dx.doi.org/10.1016/s0304-3975(97)00071-6.

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45

Sutner, Klaus. "Linear cellular automata and the garden-of-eden." Mathematical Intelligencer 11, no. 2 (March 1989): 49–53. http://dx.doi.org/10.1007/bf03023823.

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46

Allouche, J. P., F. von Haeseler, H. O. Peitgen, and G. Skordev. "Linear cellular automata, finite automata and Pascal's triangle." Discrete Applied Mathematics 66, no. 1 (April 1996): 1–22. http://dx.doi.org/10.1016/0166-218x(94)00132-w.

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Castillo-Ramirez, Alonso, and Maximilien Gadouleau. "Elementary, finite and linear vN-regular cellular automata." Information and Computation 274 (October 2020): 104533. http://dx.doi.org/10.1016/j.ic.2020.104533.

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SANCHEZ, JUAN R. "MULTIFRACTAL CHARACTERISTICS OF LINEAR ONE-DIMENSIONAL CELLULAR AUTOMATA." International Journal of Modern Physics C 14, no. 04 (May 2003): 491–99. http://dx.doi.org/10.1142/s0129183103004681.

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Abstract:

Cellular automata (CA) can be considered as discrete dynamical systems exhibiting a rich intrinsic behavior both in space and time. Starting from disordered initial configurations and according to different local evolution rules, CA can evolve into steady states showing regular or complex space–time structures. These structures have been shown to have fractal and multifractal properties. Here, the multifractal properties of linear one-dimensional cellular automata with complex spatio-temporal behaviors are calculated using discrete wavelets transforms.

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Thomas, Diana M., John G. Stevens, and Steven Lettieri. "Characteristic and Minimal Polynomials of Linear Cellular Automata." Rocky Mountain Journal of Mathematics 36, no. 3 (June 2006): 1077–92. http://dx.doi.org/10.1216/rmjm/1181069447.

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Mazoyer, J., and N. Reimen. "A linear speed-up theorem for cellular automata." Theoretical Computer Science 101, no. 1 (July 1992): 59–98. http://dx.doi.org/10.1016/0304-3975(92)90150-e.

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