6533b853fe1ef96bd12acbe7
RESEARCH PRODUCT
Axisymmetric solutions for a chemotaxis model of Multiple Sclerosis
Francesco GarganoMaria Carmela LombardoPietro PantanoValeria GiuntaEleonora BilottaMarco Sammartinosubject
PhysicsApplied MathematicsGeneral MathematicsMultiple sclerosisNumerical analysis010102 general mathematicsMathematical analysisRotational symmetryChemotaxiConcentricmedicine.disease01 natural sciencesQuantitative Biology::Cell Behavior010305 fluids & plasmasNonlinear systemAmplitudeAxisymmetric solution0103 physical sciencesmedicineMathematics (all)Multiple sclerosi0101 mathematicsEarly phaseBifurcationdescription
In this paper we study radially symmetric solutions for our recently proposed reaction–diffusion–chemotaxis model of Multiple Sclerosis. Through a weakly nonlinear expansion we classify the bifurcation at the onset and derive the amplitude equations ruling the formation of concentric demyelinating patterns which reproduce the concentric layers observed in Balò sclerosis and in the early phase of Multiple Sclerosis. We present numerical simulations which illustrate and fit the analytical results.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2018-05-25 | Ricerche di Matematica |