A numerical method for some nonlinear differential equation models in biology

Barro, Geneviève; So, Ousséni; Ntaganda, Jean Marie; Mampassi, Benjamin; Somé, Blaise

doi:10.1016/j.amc.2007.10.041

Cited by 3 publications

(4 citation statements)

References 3 publications

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“…One of the main advantages of numerical mathematics and modeling is given by that a numerical solution could be obtained for "problems" where an analytical solution does not exist [14,15]. Therefore a numerical method offer solutions as a mathematical formula or solutions of an equation from which we can gain insight in the behavior of a system and view it.…”

Section: Introductionmentioning

confidence: 98%

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Interplay between experimental and numerical approaches in botanical studies: development of a hybrid REC inverse method with application in mycology

et al. 2012

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ABTRSACTA REC model (Rate Estimation from Concentrations) numerical procedure was adapted in order to estimate the production rate of selected fatty acids in some mushroom species. The production as well the distribution of these target compounds was evaluated at whole mushroom bodies as well at its different anatomical compartments. These new numerical procedure was tested with some artificial tests as well with multiple real measurements of fatty acids from all anatomical compartments of studied mushroom species. Fatty acids analyses from mushroom samples were done on gas chromatograph-mass spectrometer (GC-MS) system after a derivatization step. The amount of fatty acid methyl esters (FAMEs) from mushroom body samples ranged between 0.5 -29.4 ng⋅kg -1 dry weights. Obtained results showed that this adapted numerical approach is optimal to estimate robust and reasonable rate and distribution profiles for relative concentration measurements of fatty acids, uncertainty being no larger than 10 %.

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Section: Introductionmentioning

confidence: 98%

“…Uses of such numerical methods completed with proper algorithms in life sciences as biology reduces the effort caused by performance of numerous, expansive and time consuming analysis [14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Interplay between experimental and numerical approaches in botanical studies: development of a hybrid REC inverse method with application in mycology

et al. 2012

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“…time step) for finding accurate approximate solutions to the corresponding systems (8). This MSDTM offers accurate solutions over a longer time frame (more stable) compared to the standard DTM.…”

Section: Msdtm Algorithmmentioning

confidence: 99%

“…In recent years, there has been a great deal of interest in fractional diffusion equations. These equations arise in viscous flows [7], biological models [8], evolution equations [9], reaction equations [10] and so on. Fractional derivatives provide an excellent instrument for the description of memory and hereditary properties of various materials and processes.…”

Section: Introductionmentioning

confidence: 99%