A Mathematical Model of Mast Cell Response to Acupuncture Needling - Sorbonne Université
Article Dans Une Revue Comptes rendus de l'Académie des sciences. Série I, Mathématique Année : 2013

A Mathematical Model of Mast Cell Response to Acupuncture Needling

Résumé

We introduce a new model of mast cell response to acupuncture needling based on the Keller-Segel model for chemotaxis. The needle manipulation induces the release of a chemoattractant by the mast cells. We show, in a simplified case, that blow-up of the solution occurs in finite time for large initial data concentrated around the acupoint. In those conditions, blow-up is the result of aggregation of cells and could indicate the efficiency of the acupuncture manipulation of the needle at one acupoint.
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Dates et versions

hal-00795833 , version 1 (01-03-2013)

Identifiants

Citer

Yannick Deleuze. A Mathematical Model of Mast Cell Response to Acupuncture Needling. Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2013, 351 (3–4), pp.101-105. ⟨10.1016/j.crma.2013.02.003⟩. ⟨hal-00795833⟩
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