Matches in SemOpenAlex for { <https://semopenalex.org/work/W2071452007> ?p ?o ?g. }
Showing items 1 to 97 of
97
with 100 items per page.
- W2071452007 endingPage "164" @default.
- W2071452007 startingPage "151" @default.
- W2071452007 abstract "We formulate the eikonal equation approximation for travelling waves in excitable reaction-diffusion systems, which have been proposed as models for a large number of biomedical situations. This formulation is particularly suited, in a natural way, to numerical solution by finite difference methods. We show how this solution is independent of the parametric variable used for expressing the eikonal equation, and how a reduction of dimensionality implies a major saving over the time taken to solve the original reaction-diffusion system. Neumann boundary conditions on reactants in the original system translate into a geometric constraint on the wave boundary itself. We show how this leads to geometrically stable stationary wave boundaries in appropriately shaped non-convex domains. This analytical prediction is verified by numerical solution of the eikonal equation on a domain which supports geometrically stable stationary wave boundary configurations. We show how the concepts of geometrical stability and wave-front stability relate to a problem where a bi-stable reaction-diffusion system has a stable stationary wave-front configuration." @default.
- W2071452007 created "2016-06-24" @default.
- W2071452007 creator A5030616211 @default.
- W2071452007 creator A5065778060 @default.
- W2071452007 creator A5082932892 @default.
- W2071452007 date "1991-04-08" @default.
- W2071452007 modified "2023-09-27" @default.
- W2071452007 title "A geometrical approach to wave-type solutions of excitable reaction-diffusion systems" @default.
- W2071452007 cites W1758300286 @default.
- W2071452007 cites W1963936865 @default.
- W2071452007 cites W1965289292 @default.
- W2071452007 cites W1967133576 @default.
- W2071452007 cites W1977954917 @default.
- W2071452007 cites W1985940938 @default.
- W2071452007 cites W2002845117 @default.
- W2071452007 cites W2011612759 @default.
- W2071452007 cites W2029581587 @default.
- W2071452007 cites W2052274205 @default.
- W2071452007 cites W2061191702 @default.
- W2071452007 cites W2066398370 @default.
- W2071452007 cites W2066651288 @default.
- W2071452007 cites W2073277386 @default.
- W2071452007 cites W2479525137 @default.
- W2071452007 cites W4255489875 @default.
- W2071452007 cites W4255777804 @default.
- W2071452007 doi "https://doi.org/10.1098/rspa.1991.0040" @default.
- W2071452007 hasPublicationYear "1991" @default.
- W2071452007 type Work @default.
- W2071452007 sameAs 2071452007 @default.
- W2071452007 citedByCount "17" @default.
- W2071452007 countsByYear W20714520072012 @default.
- W2071452007 countsByYear W20714520072013 @default.
- W2071452007 countsByYear W20714520072014 @default.
- W2071452007 countsByYear W20714520072015 @default.
- W2071452007 countsByYear W20714520072016 @default.
- W2071452007 countsByYear W20714520072022 @default.
- W2071452007 crossrefType "journal-article" @default.
- W2071452007 hasAuthorship W2071452007A5030616211 @default.
- W2071452007 hasAuthorship W2071452007A5065778060 @default.
- W2071452007 hasAuthorship W2071452007A5082932892 @default.
- W2071452007 hasConcept C105795698 @default.
- W2071452007 hasConcept C111030470 @default.
- W2071452007 hasConcept C112972136 @default.
- W2071452007 hasConcept C117251300 @default.
- W2071452007 hasConcept C119857082 @default.
- W2071452007 hasConcept C120665830 @default.
- W2071452007 hasConcept C121231716 @default.
- W2071452007 hasConcept C121332964 @default.
- W2071452007 hasConcept C134306372 @default.
- W2071452007 hasConcept C141595757 @default.
- W2071452007 hasConcept C163681178 @default.
- W2071452007 hasConcept C165699331 @default.
- W2071452007 hasConcept C182310444 @default.
- W2071452007 hasConcept C33923547 @default.
- W2071452007 hasConcept C36503486 @default.
- W2071452007 hasConcept C40375134 @default.
- W2071452007 hasConcept C41008148 @default.
- W2071452007 hasConcept C62354387 @default.
- W2071452007 hasConceptScore W2071452007C105795698 @default.
- W2071452007 hasConceptScore W2071452007C111030470 @default.
- W2071452007 hasConceptScore W2071452007C112972136 @default.
- W2071452007 hasConceptScore W2071452007C117251300 @default.
- W2071452007 hasConceptScore W2071452007C119857082 @default.
- W2071452007 hasConceptScore W2071452007C120665830 @default.
- W2071452007 hasConceptScore W2071452007C121231716 @default.
- W2071452007 hasConceptScore W2071452007C121332964 @default.
- W2071452007 hasConceptScore W2071452007C134306372 @default.
- W2071452007 hasConceptScore W2071452007C141595757 @default.
- W2071452007 hasConceptScore W2071452007C163681178 @default.
- W2071452007 hasConceptScore W2071452007C165699331 @default.
- W2071452007 hasConceptScore W2071452007C182310444 @default.
- W2071452007 hasConceptScore W2071452007C33923547 @default.
- W2071452007 hasConceptScore W2071452007C36503486 @default.
- W2071452007 hasConceptScore W2071452007C40375134 @default.
- W2071452007 hasConceptScore W2071452007C41008148 @default.
- W2071452007 hasConceptScore W2071452007C62354387 @default.
- W2071452007 hasIssue "1887" @default.
- W2071452007 hasLocation W20714520071 @default.
- W2071452007 hasOpenAccess W2071452007 @default.
- W2071452007 hasPrimaryLocation W20714520071 @default.
- W2071452007 hasRelatedWork W1576628328 @default.
- W2071452007 hasRelatedWork W1998318395 @default.
- W2071452007 hasRelatedWork W2048517091 @default.
- W2071452007 hasRelatedWork W2100405323 @default.
- W2071452007 hasRelatedWork W2184610930 @default.
- W2071452007 hasRelatedWork W2353746099 @default.
- W2071452007 hasRelatedWork W2508446691 @default.
- W2071452007 hasRelatedWork W3102529068 @default.
- W2071452007 hasRelatedWork W4287755247 @default.
- W2071452007 hasRelatedWork W4368248817 @default.
- W2071452007 hasVolume "433" @default.
- W2071452007 isParatext "false" @default.
- W2071452007 isRetracted "false" @default.
- W2071452007 magId "2071452007" @default.
- W2071452007 workType "article" @default.