# Maria Carla Tesi

Associate Professor

Department of Mathematics

## Publications

, Sobolev-Gaffney type inequalities for differential forms on sub-Riemannian contact manifolds with bounded geometry, «ADVANCED NONLINEAR STUDIES», 2022, 22, pp. 484 - 516 [Scientific article]Open Access

, Thermodynamic and topological properties of copolymer rings with a segregation/mixing transition, «JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL», 2022, 55, pp. 435002 - 435022 [Scientific article]

, A sensitivity analysis of a mathematical model for the synergistic interplay of amyloid beta and tau on the dynamics of Alzheimer’s disease, «BRAIN MULTIPHYSICS», 2021, 2, Article number: 100020 , pp. 1 - 13 [Scientific article]Open Access

, Linking and link complexity of geometrically constrained pairs of rings, «JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL», 2021, 54, Article number: 505002 , pp. 505002 - 505002 [Scientific article]

, Macroscopic modelling of Alzheimer’s disease: difficulties and challenges, «BRAIN MULTIPHYSICS», 2021, 2, Article number: 100040 , pp. 1 - 9 [Scientific article]Open Access

, The amyloid cascade hypothesis and Alzheimer's disease: A mathematical model, «EUROPEAN JOURNAL OF APPLIED MATHEMATICS», 2021, 32, pp. 749 - 768 [Scientific article]Open Access

, THE SYNERGISTIC INTERPLAY OF AMYLOID BETA AND TAU PROTEINS IN ALZHEIMER'S DISEASE: A COMPARTMENTAL MATHEMATICAL MODEL, «BRUNO PINI MATHEMATICAL ANALYSIS SEMINAR», 2021, 12, pp. 15 - 30 [Scientific article]Open Access

, Well-Posedness of a Mathematical Model for Alzheimer's Disease, «SIAM JOURNAL ON MATHEMATICAL ANALYSIS», 2018, 50, pp. 2362 - 2388 [Scientific article]Open Access

, Alzheimer's disease: a mathematical model for onset and progression, «MATHEMATICAL MEDICINE AND BIOLOGY», 2017, 34, pp. 193 - 214 [Scientific article]Open Access

, Microscopic and macroscopic models for the onset and progression of Alzheimer's disease, «JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL», 2017, 50, Article number: 414003 , pp. 1 - 22 [Scientific article]Open Access

, A qualitative model for aggregation and diffusion of $$\beta$$ -amyloid in Alzheimer’s disease, «JOURNAL OF MATHEMATICAL BIOLOGY», 2013, 67, pp. 1369 - 1392 [Scientific article]

, A qualitative model for aggregation-fragmentation and diffusion of β-amyloid in Alzheimer's disease, «RENDICONTI DEL SEMINARIO MATEMATICO», 2012, 70, pp. 75 - 84 [Scientific article]

, Wave and Maxwell's equations in Carnot groups, «COMMUNICATIONS IN CONTEMPORARY MATHEMATICS», 2012, 14, pp. 1250032-1 - 1250032-62 [Scientific article]

, Compensated Compactness for Differential Forms in Carnot Groups and Applications, «ADVANCES IN MATHEMATICS», 2010, 223, pp. 1555 - 1607 [Scientific article]

, Faraday's form and Maxwell's equations in the Heisenberg group, «MILAN JOURNAL OF MATHEMATICS», 2009, 77, pp. 245 - 270 [Scientific article]

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