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SUMMARY:Navid Mohammad Mirzaei (University of Massachusetts Amherst)
DTSTART:20201202T160000Z
DTEND:20201202T170000Z
DTSTAMP:20260423T005816Z
UID:GSMMA/16
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GSMMA/16/">S
 imple model of atherosclerosis in cylindrical arteries: impact of anisotro
 pic growth on Glagov remodeling</a>\nby Navid Mohammad Mirzaei (University
  of Massachusetts Amherst) as part of Global Seminar on Mathematical Model
 ing and Applications\n\n\nAbstract\nIn 1987\, Seymour Glagov observed that
  arteries went through a two-stage remodeling process as a result of plaqu
 e growth: first\, a compensatory phase where the lumen area remains approx
 imately constant and second\, an encroachment phase where the lumen area d
 ecreases over time. In this paper we investigate the effect of growth anis
 otropy on Glagov remodeling in five different cases: pure radial\, pure ci
 rcumferential\, pure axial\, isotropic and general anisotropic growth wher
 e the elements of the growth tensor are chosen to minimize the total energ
 y. We suggest that the nature of anisotropy is inclined towards the growth
  direction that requires the least amount of energy. Our framework is the 
 theory of morphoelasticity on an axisymmetric arterial domain. For each ca
 se we explore their specific effect on the Glagov curves. For the latter t
 wo cases we also provide the changes in collagen fiber orientation and len
 gth in the intimate\, media and adventitia. In addition\, we compare the t
 otal energy produced by growth in radial\, circumferential and axial direc
 tion and deduce that using a radially dominant anisotropic growth leads to
  lower strain energy than isotropic growth.\n
LOCATION:https://researchseminars.org/talk/GSMMA/16/
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