@article{deleuze_mathematical_2013,
title = {A mathematical model of mast cell response to acupuncture needling},
volume = {351},
issn = {1631-073X},
url = {http://www.sciencedirect.com/science/article/pii/S1631073X13000307},
doi = {10.1016/j.crma.2013.02.003},
abstract = {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.},
pages = {101--105},
number = {3},
journal = {Comptes Rendus Mathematique},
author = {Deleuze, Yannick},
urldate = {2013-09-06},
year = {2013},
file = {Deleuze - 2013 - A mathematical model of mast cell response to acup.pdf:/Users/thechicanos/Library/Application Support/Zotero/Profiles/zmz19gw0.default/zotero/storage/U8VM7T5V/Deleuze - 2013 - A mathematical model of mast cell response to acup.pdf:application/pdf}
}
@article{thiriet_biological_2015,
title = {A biological model of acupuncture and its derived mathematical modeling and simulations},
volume = {18},
issn = {1991-7120},
url = {http://journals.cambridge.org/article_S1815240615000845},
doi = {10.4208/cicp.121214.250515s},
abstract = {(Aims) Acupuncture was employed since 2 millenaries, but the underlying mechanisms are not globally handled. The present study is aimed at proposing an explanation by pointing out involved processes and a convincing modeling to demonstrate its efficiency when carried out by trained practitioners. (Method) In the absence of global knowledge of any mechanism explaining the acupuncture process, a biological model is first developed, based on stimulation in a given domain around the needle tip of a proper mastocyte population by a mechanical stress, electrical, electromagnetic, or heat field. Whatever the type of mechanical or physical stimuli, mastocytes degranulate. Released messengers either facilitate the transfer of main mediators, or target their cognate receptors of local nerve terminals or after being conveyed by blood their receptors on cerebral cells. Signaling to the brain is fast by nervous impulses and delayed by circulating messengers that nevertheless distribute preferentially in the brain region of interest due to hyperemia. The process is self-sustained due to mastocyte chemotaxis from the nearby dense microcirculatory circuit and surrounding mastocyte pools, which are inadequate for acupuncture, but serve as a signal relay. A simple mathematical model is solved analytically. Numerical simulations are also carried out using the finite element method with mesh adaptivity. (Results) The analytical solution of the simple mathematical model demonstrates the conditions filled by a mastocyte population to operate efficiently. A theorem gives the blow-up condition. This analytical solution serves for validation of numerical experiments. Numerical simulations show that when the needle is positioned in the periphery of the acupoint or outside it, the response is too weak. This explains why a long training is necessary as the needle implantation requires a precision with a magnitude of the order of 1mm. (Conclusion) The acupoint must contain a highly concentrated population of mastocytes (e.g., very-high–amplitude, small-width Gaussian distribution) to get an initial proper response. Permanent signaling is provided by chemotaxis and continuous recruitment of mastocytes. Therefore, the density and distribution of mastocytes are crucial factors for efficient acupuncture as well as availability of circulating and neighboring pools of mastocytes.},
pages = {831--849},
number = {4},
journal = {Communications in Computational Physics},
author = {Thiriet, Marc and Deleuze, Yannick and Sheu, Tony Wen-Hann},
urldate = {2015-10-16},
year = {2015},
file = {Thiriet et al. - 2015 - A biological model of acupuncture and its derived .pdf:/Users/thechicanos/Library/Application Support/Zotero/Profiles/zmz19gw0.default/zotero/storage/9NJTNAAZ/Thiriet et al. - 2015 - A biological model of acupuncture and its derived .pdf:application/pdf}
}
@article{deleuze_modeling_2015,
title = {Modeling and simulation of the interstitial medium deformation induced by the needle manipulation during acupuncture},
volume = {18},
issn = {1991-7120},
url = {http://journals.cambridge.org/article_S1815240615000857},
doi = {10.4208/cicp.101214.240515s},
abstract = {In this paper, we study the effects of inserted needle on the subcutaneous interstitial flow. A goal is to describe the physical stress affecting cells during acupuncture treatment. The model consists of the convective Brinkman equations to describe the flow through a fibrous medium. Numerical studies in {FreeFem}++ are performed to illustrate the acute physical stress developed by the implantation of a needle that triggers the physiological reactions of acupuncture. We emphasize the importance of numerical experiments for advancing in modeling in acupuncture.},
pages = {850--867},
number = {4},
journal = {Communications in Computational Physics},
author = {Deleuze, Yannick and Thiriet, Marc and Sheu, Tony Wen-Hann},
urldate = {2015-10-16},
year = {2015},
file = {Deleuze et al. - 2015 - Modeling and simulation of the interstitial medium.pdf:/Users/thechicanos/Library/Application Support/Zotero/Profiles/zmz19gw0.default/zotero/storage/J83439NP/Deleuze et al. - 2015 - Modeling and simulation of the interstitial medium.pdf:application/pdf}
}
@phdthesis{deleuze_modeling_2015-1,
title = {Modeling and simulation of transport during acupuncture},
url = {https://tel.archives-ouvertes.fr/tel-01218388/document},
abstract = {The objective of this thesis is to comprehend the complexity of the underlying basis of acupuncture. Acupuncture needling is investigated in order to establish a multiscale model that takes into account the complexity of biology but is mathematically simple enough to run simulations. Acupuncture is one of the oldest practices in the history of medicine and is the core of Traditional Chinese Medicine. Once needles are inserted in the right locations, called acupoints, they are manipulated via manual needling to stimulate the acupoint. The physiological reactions of acupuncture needling lead to therapeutic effects which can be explained by a series of interactions between the skin and the nervous, the endocrine, and the immune systems. In the present work, the thrusting and lifting of an acupuncture needle inserted in subcutaneous connective tissue is modeled. A porous media model is used to run simulations and compute the pressure and shear stress affecting the organization of fibers and of isolated cells in their matrix. A mathematical model was conceived to take into account cell signaling. There is ample evidence that needle manipulation in acupuncture can cause degranulation of mastocytes directly through a physical stress to occur. Activated mastocytes rapidly release granules containing chemical mediators. These chemical mediators play a key role recruiting mastocytes in their environment and are known to affect the excitability of nerve endings as well as local microcirculation permeability and size for the appropriate transfer of long-term acting endocrine signals. The process is sustained by the recruitment of mastocytes through chemotaxis.},
school = {Universit\'e Pierre et Marie Curie ; National Taiwan University},
type = {PhD thesis},
author = {Deleuze, Yannick},
urldate = {2015-12-02},
year = {2015},
langid = {english},
file = {Deleuze - 2015 - Modeling and simulation of transport during acupun.pdf:/Users/thechicanos/Library/Application Support/Zotero/Profiles/zmz19gw0.default/zotero/storage/IC3AIK5B/Deleuze - 2015 - Modeling and simulation of transport during acupun.pdf:application/pdf}
}
@article{chang_application_2015,
title = {Application of {FreeFem}++ to model flow and transport for contaminant site},
volume = {2},
pages = {11--23},
journal = {Journal of Soil and Groundwater Remediation},
author = {Chang, Chia-Wei and Kuo, Chih-Yu and Lee, I-Hsien and Ni, Chuen-Fa and Wang, Sheng-Wei},
year = {2015}
}
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