# Maria Carla Tesi

Associate Professor

Department of Mathematics

## Publications

, 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]

, Microscopic and macroscopic models for the onset and progression of Alzheimer's disease, «JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL», 2017, 50, pp. 414003 - 414024 [Scientific article]

, 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]

, Hypoellipticity, fundamental solution and Liouville type theorem for matrix--valued differential operators in Carnot groups, «JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY», 2009, 11, pp. 777 - 798 [Scientific article]

, Modelling the adsorption of a polymer subject to an elongational force by directed walk models., «JOURNAL OF MATHEMATICAL CHEMISTRY», 2009, 45, pp. 72 - 94 [Scientific article]

, Thermodynamics and entanglements of walks under stress, «JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT», 2009, 07, pp. P07014 - P07014+35 [Scientific article]

, Compensated compactness in the contact complex of Heisenberg groups, «INDIANA UNIVERSITY MATHEMATICS JOURNAL», 2008, 57, pp. 133 - 185 [Scientific article]

, Differential forms, Maxwell equations and compensated compactness in Carnot groups, in: , «LECTURE NOTES OF SEMINARIO INTERDISCIPLINARE DI MATEMATICA», 2008, 7, pp. 21 - 40 (atti di: Geometric Methods in PDE's, Bologna, May 27-30, 2008) [Contribution to conference proceedings]

, Knot probability of polygons subjected to a force: a Monte Carlo study., «JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL», 2008, 41, pp. 025003 - 025003+13 [Scientific article]

, Knotting in stretched polygons, «JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL», 2008, 41, pp. 015003 - 015003+24 [Scientific article]