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A network-level transport model of tau progression in the Alzheimer's brain
Veronica Tora, Justin Torok, Michiel Bertsch +1
One of the hallmarks of Alzheimer's disease (AD) is the accumulation and spread of toxic aggregates of tau protein. The progression of AD tau pathology is thought to be highly ster…
Signed Radon measure-valued solutions of flux saturated scalar conservation laws
M. Bertsch, F. Smarrazzo, A. Terracina +1
We prove existence and uniqueness for a class of signed Radon measure-valued entropy solutions of the Cauchy problem for a first order scalar hyperbolic conservation law in one spa…
Discontinuous viscosity solutions of first order Hamilton-Jacobi equations
M. Bertsch, F. Smarrazzo, A. Terracina +1
We consider the simplest example of a time-dependent first order Hamilton-Jacobi equation, in one space dimension and with a bounded and Lipschitz continuous Hamiltonian which only…