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1 fluential model of growth, morphogenesis and pattern formation.
2 or the reproducibility and robustness of the pattern formation.
3  explain experimentally observed dynamics of pattern formation.
4 mputations, which have been shown to lead to pattern formation.
5 s indispensable for organogenesis and tissue pattern formation.
6 , such as BMP-4, play important roles in the pattern formation.
7 otemporal responses such as oscillations and pattern formation.
8 lped us understand the genetic mechanisms of pattern formation.
9 plain various phenomena of self-assembly and pattern formation.
10 x), which may facilitate anthocyanin pigment pattern formation.
11  contractility followed by mechanical strain pattern formation.
12 nd survival is an essential prerequisite for pattern formation.
13 lular and molecular basis of feather pigment pattern formation.
14 tion and inhibition processes drives spatial pattern formation.
15 um is characterized by two distinct waves of pattern formation.
16 riptional networks change dynamically during pattern formation.
17 e early limb bud morphogenesis with skeletal pattern formation.
18 or investigating mechanisms of developmental pattern formation.
19 ich these influences are required for normal pattern formation.
20  fundamental physics controlling the complex pattern formation.
21 xis in producer-scrounger groups can lead to pattern formation.
22 on by Ral during cell fate specification and pattern formation.
23 e to the developmental control of growth and pattern formation.
24 table activator gradient to robustly control pattern formation.
25  hormone essential for plant development and pattern formation.
26  descendants play an important role in axial pattern formation.
27 ies and how the resulting system facilitates pattern formation.
28 h these factors and controls the dynamics of pattern formation.
29 hereby guiding future studies of neocortical pattern formation.
30 cult to implement or they preclude arbitrary pattern formation.
31 nism formulation and guide future studies of pattern formation.
32 t we show is essential for three-dimensional pattern formation.
33  essential for polarized and continuous vein pattern formation.
34 er, it is not known how DRG11 contributes to pattern formation.
35 receptor-mediated signaling to ensure robust pattern formation.
36 l for cellularization, sex determination and pattern formation.
37 nd we investigated the role of Notch in lung pattern formation.
38 nal epithelial polarity and retinal cellular pattern formation.
39 ne of the best-studied examples of embryonic pattern formation.
40 (GRPI) can guide systems-level approaches to pattern formation.
41 ntegration of convergent inputs for premotor pattern formation.
42 r responses that are necessary for embryonic pattern formation.
43 anism of soma/germline cooperation affecting pattern formation.
44 the same functions in controlling growth and pattern formation.
45 al axis, thus revealing a novel mechanism of pattern formation.
46  (TOAD2), required for Arabidopsis embryonic pattern formation.
47 -dimensional manner, imposing highly ordered pattern formation.
48 pressors for their association with the spot pattern formation.
49  pumps in Arabidopsis embryo development and pattern formation.
50 r this reason, it provides new mechanisms of pattern formation.
51 quired for proper morphogenetic movement and pattern formation.
52 ilitates predictive-design of motility-based pattern formation.
53  biological rules were sufficient to explain pattern formation.
54 d accounts for the precision and dynamics of pattern formation.
55 and chemistry combine to drive morphogenetic pattern formation.
56 ays a role in developmental decisions during pattern formation.
57 biophysical studies of self-organization and pattern formation.
58 ient dynamics in a growing tissue to precise pattern formation.
59 fforts have been made to explain the dynamic pattern formation.
60  well-established paradigm for developmental pattern formation.
61 ty and spatial-temporal symmetry breaking of pattern formation.
62 ll, and what mechanistic principles underlie pattern formation?
63                   In an influential model of pattern formation, a gradient of Sonic hedgehog (Shh) si
64                             We show how this pattern formation ability, which is analogous to solutio
65 a qualitative and quantitative effect on the pattern formation, above a critical value that we determ
66  gradient of nuclear Dorsal protein controls pattern formation along the dorsal-ventral axis.
67 ic mRNA injection, we obtained evidence that pattern formation along the entire AP axis of the Episyr
68  and TOAD2 are redundantly required for both pattern formation along the radial axis and differentiat
69 gent property of the system is manifested in pattern formation among phenotypes within a chemical gra
70 vestigations both of population dynamics and pattern formation and appears to be natural to the obser
71                                          How pattern formation and brain growth are coordinated is in
72 ific transcription factors are essential for pattern formation and cell differentiation processes in
73  retinoids, which are required for embryonic pattern formation and cell differentiation.
74 any developmental control genes critical for pattern formation and cell fate specification during the
75 olves tissue identity specification, growth, pattern formation and cell-type differentiation.
76 differentiation, HetR, is necessary for both pattern formation and commitment of approximately every
77 ssential for tissue growth and multicellular pattern formation and crucial for the cellular dynamics
78  the genetic network that governs heterocyst pattern formation and differentiation.
79 that can produce scale invariance in spatial pattern formation and discuss examples of systems that s
80 ial of the system for genetically programmed pattern formation and distributed computing.
81 , providing a new approach for understanding pattern formation and dynamics in these systems.
82 etical framework to understand multicellular pattern formation and enables the wide-spread use of mat
83 ells of four different types--a microcosm of pattern formation and gamete specification about which o
84 c consequences of wnt activation: endodermal pattern formation and gene expression required suppressi
85 ies to study the coupling between mechanics, pattern formation and growth in the neural tube.
86 o peptides are involved in the regulation of pattern formation and have an antagonistic function to W
87 ul for elucidating fundamental mechanisms of pattern formation and how these mechanisms evolve.
88 s et al. (2014) makes the connection between pattern formation and intercellular communication by sho
89  reveals a mutual feedback mechanism between pattern formation and local symmetry breaking in active
90  quantitatively the experimental dynamics of pattern formation and maintenance for wild type and muta
91 embryogenesis require the ability to monitor pattern formation and morphogenesis in large numbers of
92 difications, could be adapted for studies of pattern formation and morphogenesis in other model organ
93 ng and ordering data from imaging studies of pattern formation and morphogenesis in three model syste
94 oping limb serves as a paradigm for studying pattern formation and morphogenetic cell death.
95 ltiplicity of clathrin functions in cortical pattern formation and provide important insights regardi
96  long history as a model system for studying pattern formation and regeneration in single cells.
97                                              Pattern formation and self-organization are fascinating
98 ion among nonneural somatic tissues regulate pattern formation and serve as signals that trigger limb
99 otion by training neural networks to predict pattern formation and stochastic gene expression.
100 These data reveal powerful novel controls of pattern formation and suggest a constructive model linki
101 egulator of cell shape changes during colour pattern formation and the first cytoplasmic protein impl
102 r, the in vivo role of Shh signaling in cusp pattern formation and the molecular mechanisms by which
103 ds, the connection has not been made between pattern formation and the peculiar critical behavior of
104 nterface between genes involved in male tail pattern formation and those responsible for function.
105 mportant role in the regulation of embryonic pattern formation and tissue morphogenesis.
106 mic meshes for the computational analysis of pattern formation and tissue morphogenesis.
107                                     Based on pattern formations and time series of populations, we fo
108 ng a link between natural genetic variation, pattern formation, and adaptation.
109  associated with developmental processes and pattern formation, and downregulated transcripts involve
110  the direct relation between oxygen sensing, pattern formation, and emergence of swarming in active C
111 lucidating mechanisms of fate specification, pattern formation, and how particular phenotypes impact
112 eep connection between phase frustration and pattern formation, and perspectives on the design of fun
113 , thus, contributes to cell synchronization, pattern formation, and the expansion of cells with a com
114 robust and accessible model for studying the patterning, formation, and expansion of epithelial tubes
115     Although molecular self-organization and pattern formation are key features of life, only very fe
116 ecause these and other mechanisms of regular-pattern formation are not mutually exclusive and can coe
117 ular mechanisms that control proximal-distal pattern formation are poorly understood.
118 reover, we show that the pathways underlying pattern formation are recruitment-driven cytosolic cycli
119                            Morphogenesis and pattern formation are vital processes in any organism, w
120  complexes can be explained as a spontaneous pattern formation arising from the competition between t
121                                              Pattern formation, as occurs during embryogenesis or reg
122 ll types, metabolic interdependence and even pattern formation, as the spacing of heterocysts along t
123    How these signalling peptides orchestrate pattern formation at a molecular level remains unclear.
124 that we can now answer critical questions in pattern formation at a much larger scale.
125 occurred in the mutant, followed by abnormal pattern formation at all stages of embryo development.
126 wn sites, which enable actuation and wrinkle pattern formation at lower applied voltages.
127 e analysis of the mechanisms associated with pattern formation at the onset of gastrulation.
128 Pollen provides an excellent system to study pattern formation at the single-cell level.
129 mergent network dynamics such as spontaneous pattern formation, bistability and periodic oscillations
130   Embryogenesis offers a real laboratory for pattern formation, buckling, and postbuckling induced by
131 esenchymal cell density gradient, triggering pattern formation by lowering the threshold of mesenchym
132 st that Shh plays an inhibitory role in cusp pattern formation by modulating Wnt signaling through th
133 tor in the reaction-diffusion model for cusp pattern formation by negatively regulating the intercusp
134               The control of DNA methylation pattern formation by replication dependent and independe
135 rfusion-independent regulation of epithelial pattern formation by the vasculature during organ develo
136                 Recent studies revealed that pattern formation by these graded signals depends on uni
137  present the first demonstration that Turing pattern formation can arise in a new family of oscillato
138                    The results show that the pattern formation can be described by the identification
139 compact triangles to fractal flakes, and the pattern formation can be explained by the anisotropic gr
140  from a minimal MinE-MinD interaction motif, pattern formation can be obtained by adding either dimer
141  that have been widely applied to biological pattern formation, can be harnessed to instruct the refi
142 ce reconstruction in ionic crystals; and the pattern formation caused by phase transitions in metal a
143 ed to cell wall biogenesis, xylem and phloem pattern formation, cell cycle, hormone stimulus, and cir
144 la leg is a good model to study processes of pattern formation, cell death and segmentation.
145 l accounts for the key features of wild-type pattern formation, correctly predicts patterning defects
146 ying and near-universal principle of regular-pattern formation despite scant empirical evidence.
147 tions and contribute to abdominal expiratory pattern formation during active expiration observed duri
148  the long-range control of tissue growth and pattern formation during animal development.
149 pment suggests that MED13 and MED12 regulate pattern formation during Arabidopsis embryogenesis by tr
150 ng of gene expression can play a key role in pattern formation during biofilm development.
151 st a conserved role of the nervous system in pattern formation during blastema-based regeneration.
152 g and experiments, that nano/microstructural pattern formation during dealloying results from the int
153 tice in the Drosophila eye is a paradigm for pattern formation during development.
154 mulating that specific sterols have roles in pattern formation during development.
155 alling gradient that directs both growth and pattern formation during Drosophila wing disc developmen
156 rabidopsis MED13) are required for timing of pattern formation during embryogenesis.
157 ning in oogenesis and for anterior-posterior pattern formation during embryogenesis.
158                            The mechanisms of pattern formation during embryonic development remain po
159 in anterior Pn.p cells reflect mechanisms of pattern formation during normal hook development.
160 rtance of positional information to instruct pattern formation during regeneration.
161                                         HEHD pattern formation enables the fabrication of multiscale
162  method, computations for surface diffusion, pattern formation, excitable media, and bulk-surface cou
163 ated impact of stochastic gene expression on pattern formation, focusing on senseless (sens), a key d
164 omes important to unravel the etiology of LF pattern formation for early prevention and treatment.
165 e these data to build a theory on heterocyst pattern formation, for which both genetic regulation and
166 . obscuripes by shifting the drivers of nest pattern formation from an endogenous process (queen flig
167 e effector MinE that could be used to design pattern formation from scratch.
168 ut both resulted in severe defects in embryo pattern formation from the early stage.
169 hlight the multifaceted role of mechanics in pattern formation, from protein and cell sorting to the
170  selection acting on expression phenotype of pattern formation genes.
171     Growth factor signaling is essential for pattern formation, growth, differentiation, and maintena
172              One universal mechanism for the pattern formation has been long believed to be the misma
173  fundamental physics governing the nanoscale pattern formation has not yet been identifed.
174 etween the various components and aspects of pattern formation have been much harder to grasp.
175                  So far, studies into neural pattern formation have been restricted mainly to animal
176  into cell-cell interactions responsible for pattern formation, here we characterize the arrangement
177 ally test the hypothesis that self-organized pattern formation improves the persistence of mussel bed
178                   Under these circumstances, pattern formation in a developing tissue involves a sele
179 , the static regime has an essential role in pattern formation in addition to its maintenance functio
180         Inter-regional signaling coordinates pattern formation in Arabidopsis thaliana embryos.
181                                              Pattern formation in biofilms allows cells to position t
182                                              Pattern formation in biofilms depends on cell proliferat
183              Chemical gradients can generate pattern formation in biological systems.
184  fluids, the growth of bubbles in foams, and pattern formation in biomembranes.
185 edgehog signal transduction during embryonic pattern formation in both vertebrates and invertebrates.
186 anding the mechanisms underlying distributed pattern formation in brain networks and its content driv
187 rvation has major implications for models of pattern formation in branching trees, and may also be im
188 n combination, this leads to the notion that pattern formation in classes of arenethiol molecules is
189 mental platform for the study and control of pattern formation in complex biological excitable system
190                              Some aspects of pattern formation in developing embryos can be described
191 , movement and differentiation contribute to pattern formation in developing tissues.
192 our approach using a dataset from studies of pattern formation in Drosophila.
193 sents an alternative class of self-organized pattern formation in ecology.
194          We demonstrate our ability to guide pattern formation in films thick enough to be of interes
195                               Photoactivated pattern formation in functional polymers has attracted m
196 f the visual cortex to examine its effect on pattern formation in general and the generation of tempo
197  and validate improved theoretical models of pattern formation in Hydra.
198 e-scale nonequilibrium self-organization and pattern formation in life is a major challenge, with imp
199                  Hedgehog signaling controls pattern formation in many vertebrate tissues.
200 s of mussels (Mytilus edulis) during spatial pattern formation in mussel beds can be regarded as bein
201 orts the tantalizing possibility that Turing pattern formation in natural multicellular systems can a
202                        Self-organization and pattern formation in network-organized systems emerges f
203  mediated signalling is required for segment pattern formation in other arthropods, suggest that the
204 cise regulation of caudal, and that anterior pattern formation in particular depends on two localized
205 ata provides a convenient model for studying pattern formation in plant tissues.
206 tal system to study cell differentiation and pattern formation in plants and animals.
207 ning phosphatidylinositol levels and affects pattern formation in plants likely through regulation of
208                        Mechanisms underlying pattern formation in plants, such as phyllotaxis, flower
209 ciated aspect of developmental robustness is pattern formation in proportion to size.
210 s well as, more generally, for understanding pattern formation in reaction-diffusion systems.
211                                       First, pattern formation in resist materials is described and t
212 animals, the principles of morphogenesis and pattern formation in single cells remain largely unknown
213 l and computational framework for dissecting pattern formation in space and time, and reveals how the
214 ment, synchronized oscillatory reactions and pattern formation in space, as manifestation of collecti
215 ergence of the diverse mechanisms underlying pattern formation in specific biological contexts probab
216 estingly suggests some commonalities between pattern formation in the biological and physical systems
217 in various cellular contexts, including axis-pattern formation in the developing egg chamber of Droso
218                                              Pattern formation in the developing embryo relies on key
219 d how canonical Wnt signaling contributes to pattern formation in the developing spinal cord.
220                      Motivated by studies of pattern formation in the early Drosophila embryo, we ana
221 teral inhibition by repressing MpRSL1 during pattern formation in the M. polymorpha epidermis.
222 ell death would not appear to explain failed pattern formation in the mutant PrV.
223 ll death is not a sufficient cause of failed pattern formation in the PrV of the DRG11(-/-).
224                                     Cellular pattern formation in the root epidermis of Arabidopsis o
225  transcription factor DRG11 is necessary for pattern formation in the trigeminal nucleus principalis
226                        Mutations that affect pattern formation in the zebrafish have been widely stud
227  been a very influential system for studying pattern formation in vertebrates.
228 sses, is perhaps most evident in examples of pattern formation in which the different cell types aris
229 ages and molecular interactions required for pattern formation in zebrafish, we review some of what i
230 rting modes of collective ATP-driven dynamic pattern formation including not only the previously desc
231 hat polarized light has a striking effect on pattern formation indicated by enhanced phase separation
232 m their established transcriptional roles in pattern formation, IRX3/5 help to shape the limb bud pri
233                                       Zigzag pattern formation is a common and important phenomenon i
234                                              Pattern formation is a key aspect of development.
235             Our results indicate that proper pattern formation is achieved through transcriptional re
236 addition to microbes, beta-catenin-dependent pattern formation is also affected by temperature.
237        Together, this leads to the view that pattern formation is an emergent behavior that results f
238                             In cuprates, the pattern formation is associated with the pseudogap phase
239            Coordination of cell division and pattern formation is central to tissue and organ develop
240                             In both tissues, pattern formation is dependent on molecular gradients th
241 nism of the front instability governing this pattern formation is elucidated by a mathematical model
242                                              Pattern formation is influenced by transcriptional regul
243 lthough a comprehensive theory of biological pattern formation is still lacking.
244 en Notch and Hh signalling drive the precise pattern formation is still unknown.
245                               One example of pattern formation is that of irregular eutectic solidifi
246                                              Pattern formation is typically controlled through the in
247                 The spontaneous emergence of pattern formation is ubiquitous in nature, often arising
248 ole of Hedgehog (Hh) signalling in embryonic pattern formation is well established, its functions in
249 reviews recent progress in understanding the pattern formation, maternal effects and evolution of thi
250                        Here we show a unique pattern formation mechanism, dictated by the coupling of
251  of additional regulatory links in a complex pattern formation mechanism.
252                         Thus, the considered pattern-formation mechanism is very robust, and similar
253                     Systematic validation of pattern formation mechanisms revealed by molecular studi
254 tions as a master controller of development, pattern formation, morphogenesis, and tropic responses.
255                                  The row and pattern formation of (methylated) anthracenethiols indic
256 tically and experimentally-in the problem of pattern formation of a moving boundary, such as a solidi
257 at the subcellular architecture and cellular pattern formation of a tissue may be regulated by neighb
258                   Brain oscillations reflect pattern formation of cell assemblies' activity, which is
259 hat it shows a non-stereotypic cell division pattern, formation of dorsal-ventral polarity, and endog
260 d cells, yet it also causes abnormal budding patterns, formation of enlarged and elongated cells, inc
261      Here we demonstrate that photoactivated pattern formation on azobenzene-containing polymer films
262  ultra-smoothening, self-organized nanoscale pattern formation or degradation of the structural integ
263 bout the actual mechanisms underlying colour pattern formation or evolution.
264          The molecular mechanisms underlying pattern formation, particularly the regulation of format
265 f the path compared to the timescales of the pattern formation process itself.
266  bacterial colonizers and temperature on the pattern formation process.
267  gain mechanistic insights into this dynamic pattern-formation process, we developed a model that con
268 ms currently believed to be important to the pattern-formation process.
269  multifunctional signaling protein governing pattern formation, proliferation and cell survival durin
270  key role in the study of phase transitions, pattern formation, protein folding, and more.
271 rns emerge in the system, where the onset of pattern formation relates to the spatial overlap of cogn
272 igning and implementing synthetic biological pattern formation remains challenging due to underlying
273                      This reveals that auxin pattern formation requires coordination between influx a
274  chemical reactions and diffusion to control pattern formation requires the careful design of reactio
275          Besides providing a nice example of pattern formation responsible for an adult trait of zebr
276 nto the mechanisms that can give rise to the pattern formation seen in other biological systems such
277  modes of activity on networks and localised pattern formation seen throughout science, such as solit
278 ly considered as components of intracellular pattern formation systems.
279 nally, the model demonstrates that with time pattern formation takes place in the ring, worsening the
280 network architecture that can accomplish the pattern formation task at hand--the formation of three l
281 which suggests a dynamic physical process of pattern formation that cannot be genetically specified.
282     In strains lacking the -271 tsp of hetR, pattern formation, the timing of commitment to different
283                                              Pattern-formation theory predicts that such highly order
284 pporting a central universality principle of pattern-formation theory.
285 tion, very high refractive index, and facile pattern formation through lithographic templating and/or
286 sights from the general theory of non-linear pattern formation to domes patterns, we provide new inte
287 of gene expression can constrain spontaneous pattern formation to faithfully reproduce functional map
288  the mechanism governing the transition from pattern formation to flatness using only parameter-free
289                      The dynamics that drive pattern formation usually involve genetic nonlinear inte
290  the study of evolution, development of axis pattern formation, venom production, haplo-diploid sex d
291 mes some of their key limitations permitting pattern formation via any two-species biochemical kineti
292                              The herringbone pattern formation via intercluster interactions is also
293 at Hrp38 poly(ADP-ribosyl)ation controls eye pattern formation via regulation of DE-cadherin expressi
294 en and sheep aortic ring assay, and vascular pattern formation was studied in the chorioallantoic mem
295 e the zebrafish is a model organism for skin pattern formation, we focus specifically on analyzing it
296 development in Arabidopsis thaliana involves pattern formation, which ensures that ovules are regular
297 ent advances in the statistical mechanics of pattern formation, which suggest that the hallucinatory
298 specification of pattern, the integration of pattern formation with growth and the determination of d
299  we combine ideas from Alan Turing's work on pattern formation with May's random-matrix approach.
300 ting the insights gained into ligand-induced pattern formation within self-assemblies.

 
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