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Documents  35Q92 | enregistrements trouvés : 11

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Research talks

Tumour vascular is highly disordered and has been the subject of intense interest both clinically (anti-angiogenesis therapies) and theoretically (many models have been proposed). In this talk, I will review aspects of modelling tumour angiogenesis and how different modelling assumptions impact conclusions on oxygen delivery and, therefore, predictions on the possible effects of radiation treatments.

93A30 ; 92C50 ; 92C37 ; 92C17 ; 65C20 ; 35Q92

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- vii; 238 p.
ISBN 978-0-8218-9850-5

Contemporary mathematics , 0628

Localisation : Collection 1er étage

hémodynamique # rhéologie # écoulement de fluide # dynamique des fluides # biophysique # biomathématiques

92-06 ; 00B25 ; 92B05 ; 92C05 ; 92C10 ; 92C35 ; 76Z05 ; 35Q92

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Research talks

35B40 ; 35Q20 ; 35K40 ; 35Q92 ; 35A01 ; 92D15

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Research talks;Mathematics in Science and Technology

In this talk we overview some of the challenges of cardiac modeling and simulation of the electrical depolarization of the heart. In particular, we will present a strategy allowing to avoid the 3D simulation of the thin atria depolarization but only solve an asymptotic consistent model on the mid-surface. In a second part, we present a strategy for estimating a cardiac electrophysiology model from front data measurements using sequential parallel data assimilation strategy. In this talk we overview some of the challenges of cardiac modeling and simulation of the electrical depolarization of the heart. In particular, we will present a strategy allowing to avoid the 3D simulation of the thin atria depolarization but only solve an asymptotic consistent model on the mid-surface. In a second part, we present a strategy for estimating a cardiac electrophysiology model from front data measurements using sequential ...

92C30 ; 35Q92 ; 65C20

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Research schools;Partial Differential Equations;Mathematics in Science and Technology;Probability and Statistics

92D25 ; 35Q92 ; 60J85 ; 60H30 ; 35K57 ; 35K55

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Research schools;Partial Differential Equations;Mathematical Physics;Probability and Statistics

92D25 ; 35Q92 ; 60J85 ; 60H30 ; 35K57 ; 35K55

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Research schools;Partial Differential Equations;Mathematics in Science and Technology;Probability and Statistics

35K57 ; 92D25 ; 35Q92

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Research schools;Partial Differential Equations;Mathematics in Science and Technology;Probability and Statistics

35K57 ; 92D25 ; 35Q92

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Research talks

How combination therapies can reduce the emergence of cancer resistance? Can we exploit intra-tumoral competition to modify the effectiveness of anti-cancer treatments?
Bearing these questions in mind, we present a mathematical model of cancer-immune competition under therapies. The model consists of a system of differential equations for the dynamics of two cancer clones and T-cells. Comparisons with experimental data and clinical protocols for non-small cell lung cancer have been performed.
In silico experiments confirm that the selection of proper infusion schedules plays a key role in the success of anti-cancer therapies. The outcomes of protocols of chemotherapy and immunotherapy (separately and in combination) differing in doses and timing of the treatments are analyzed.
In particular, we highlight how exploiting the competition between cancer populations seems to be an effective recipe to limit the insurgence of resistant populations. In some cases, combination of low doses therapies could yield a substantial control of the total tumor population without imposing a massive selective pressure that would suppress the sensitive clones leaving unchecked the clonal types resistant to therapies.
How combination therapies can reduce the emergence of cancer resistance? Can we exploit intra-tumoral competition to modify the effectiveness of anti-cancer treatments?
Bearing these questions in mind, we present a mathematical model of cancer-immune competition under therapies. The model consists of a system of differential equations for the dynamics of two cancer clones and T-cells. Comparisons with experimental data and clinical protocols for ...

92D25 ; 92C37 ; 92C50 ; 37N25 ; 35Q92

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- x; 130 p.
ISBN 978-3-03719-172-9

EMS series of lectures in mathematics

Localisation : Ouvrage RdC (TRIE)

espace de fonctions de Besov-Sobolev # chimiotaxie # hydrodynamique # équation de chaleur # équation de Keller-Segel # équation de Navier-Stokes

35-02 ; 46-02 ; 76-02 ; 92-02 ; 35K05 ; 35Q30 ; 35Q92 ; 42B35 ; 46E35 ; 76D05 ; 92C15 ; 92C17

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- xiv; 438 p.
ISBN 978-1-107-13743-1

New mathematical monographs , 0030

Localisation : Ouvrage RdC (BOBR)

théorie des opérateurs # convergence de semi-groupes # semi-groupe limite # bio-mathématiques # dynamique des populations

47-02 ; 47D06 ; 34G10 ; 34K30 ; 47N60 ; 92-XX ; 92D25 ; 47D07 ; 35Q92 ; 35B40

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