FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2034112672> ?p ?o ?g. }

• W2034112672 abstract "Alan Turing's work in Morphogenesis has received wide attention during the past 60 years. The central idea behind his theory is that two chemically interacting diffusible substances are able to generate stable spatial patterns, provided certain conditions are met. Turing's proposal has already been confirmed as a pattern formation mechanism in several chemical and biological systems and, due to their wide applicability, there is a great deal of interest in deciphering how to generate specific patterns under controlled conditions. However, techniques allowing one to predict what kind of spatial structure will emerge from Turing systems, as well as generalized reaction-diffusion systems, remain unknown. Here, we consider a generalized reaction diffusion system on a planar domain and provide an analytic criterion to determine whether spots or stripes will be formed. It is motivated by the existence of an associated energy function that allows bringing in the intuition provided by phase transitions phenomena. This criterion is proved rigorously in some situations, generalizing well known results for the scalar equation where the pattern selection process can be understood in terms of a potential. In more complex settings it is investigated numerically. Our criterion can be applied to efficiently design Biotechnology and Developmental Biology experiments, or simplify the analysis of hypothesized morphogenetic models." @default.
• W2034112672 created "2016-06-24" @default.
• W2034112672 creator A5005931592 @default.
• W2034112672 creator A5042243195 @default.
• W2034112672 date "2014-01-29" @default.
• W2034112672 modified "2023-10-02" @default.
• W2034112672 title "A selection criterion for patterns in reaction–diffusion systems" @default.
• W2034112672 cites W1573250193 @default.
• W2034112672 cites W1963942260 @default.
• W2034112672 cites W1969505588 @default.
• W2034112672 cites W1973000954 @default.
• W2034112672 cites W1977624796 @default.
• W2034112672 cites W1982357817 @default.
• W2034112672 cites W2000865352 @default.
• W2034112672 cites W2009375605 @default.
• W2034112672 cites W2033649008 @default.
• W2034112672 cites W2037486322 @default.
• W2034112672 cites W2038991247 @default.
• W2034112672 cites W2045988318 @default.
• W2034112672 cites W2079035993 @default.
• W2034112672 cites W2079615149 @default.
• W2034112672 cites W2089840306 @default.
• W2034112672 cites W2089876099 @default.
• W2034112672 cites W2091354445 @default.
• W2034112672 cites W2091643574 @default.
• W2034112672 cites W2092589298 @default.
• W2034112672 cites W2097987409 @default.
• W2034112672 cites W2098737611 @default.
• W2034112672 cites W2111173827 @default.
• W2034112672 cites W2139215311 @default.
• W2034112672 cites W2148158948 @default.
• W2034112672 cites W2165194166 @default.
• W2034112672 doi "https://doi.org/10.1186/1742-4682-11-7" @default.
• W2034112672 hasPubMedCentralId "https://www.ncbi.nlm.nih.gov/pmc/articles/3925790" @default.
• W2034112672 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/24476200" @default.
• W2034112672 hasPublicationYear "2014" @default.
• W2034112672 type Work @default.
• W2034112672 sameAs 2034112672 @default.
• W2034112672 citedByCount "7" @default.
• W2034112672 countsByYear W20341126722015 @default.
• W2034112672 countsByYear W20341126722018 @default.
• W2034112672 countsByYear W20341126722019 @default.
• W2034112672 countsByYear W20341126722023 @default.
• W2034112672 crossrefType "journal-article" @default.
• W2034112672 hasAuthorship W2034112672A5005931592 @default.
• W2034112672 hasAuthorship W2034112672A5042243195 @default.
• W2034112672 hasBestOaLocation W20341126721 @default.
• W2034112672 hasConcept C121231716 @default.
• W2034112672 hasConcept C121332964 @default.
• W2034112672 hasConcept C121864883 @default.
• W2034112672 hasConcept C134306372 @default.
• W2034112672 hasConcept C154945302 @default.
• W2034112672 hasConcept C199360897 @default.
• W2034112672 hasConcept C207016750 @default.
• W2034112672 hasConcept C2524010 @default.
• W2034112672 hasConcept C33923547 @default.
• W2034112672 hasConcept C41008148 @default.
• W2034112672 hasConcept C54355233 @default.
• W2034112672 hasConcept C57691317 @default.
• W2034112672 hasConcept C80444323 @default.
• W2034112672 hasConcept C81917197 @default.
• W2034112672 hasConcept C86803240 @default.
• W2034112672 hasConcept C9870796 @default.
• W2034112672 hasConceptScore W2034112672C121231716 @default.
• W2034112672 hasConceptScore W2034112672C121332964 @default.
• W2034112672 hasConceptScore W2034112672C121864883 @default.
• W2034112672 hasConceptScore W2034112672C134306372 @default.
• W2034112672 hasConceptScore W2034112672C154945302 @default.
• W2034112672 hasConceptScore W2034112672C199360897 @default.
• W2034112672 hasConceptScore W2034112672C207016750 @default.
• W2034112672 hasConceptScore W2034112672C2524010 @default.
• W2034112672 hasConceptScore W2034112672C33923547 @default.
• W2034112672 hasConceptScore W2034112672C41008148 @default.
• W2034112672 hasConceptScore W2034112672C54355233 @default.
• W2034112672 hasConceptScore W2034112672C57691317 @default.
• W2034112672 hasConceptScore W2034112672C80444323 @default.
• W2034112672 hasConceptScore W2034112672C81917197 @default.
• W2034112672 hasConceptScore W2034112672C86803240 @default.
• W2034112672 hasConceptScore W2034112672C9870796 @default.
• W2034112672 hasIssue "1" @default.
• W2034112672 hasLocation W20341126721 @default.
• W2034112672 hasLocation W20341126722 @default.
• W2034112672 hasLocation W20341126723 @default.
• W2034112672 hasLocation W20341126724 @default.
• W2034112672 hasLocation W20341126725 @default.
• W2034112672 hasLocation W20341126726 @default.
• W2034112672 hasOpenAccess W2034112672 @default.
• W2034112672 hasPrimaryLocation W20341126721 @default.
• W2034112672 hasRelatedWork W1659131333 @default.
• W2034112672 hasRelatedWork W2033324221 @default.
• W2034112672 hasRelatedWork W2038303420 @default.
• W2034112672 hasRelatedWork W2061107390 @default.
• W2034112672 hasRelatedWork W2068764614 @default.
• W2034112672 hasRelatedWork W2787544901 @default.
• W2034112672 hasRelatedWork W2959947689 @default.
• W2034112672 hasRelatedWork W4206289251 @default.
• W2034112672 hasRelatedWork W4249779115 @default.
• W2034112672 hasRelatedWork W4287657877 @default.
• W2034112672 hasVolume "11" @default.
• W2034112672 isParatext "false" @default.

• next