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Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
,
M.Sc. Thesis
Sharif University of Technology
;
Hesaaraki, Mahmoud
(Supervisor)
Abstract
We Consider the Chemotaxi Systems in a smooth bounded domain as follow:{ █(ut = Δu-χ∇.(u∇v)+ f (u) x ϵ Ω ,t>0 @ @τ vt =Δv-v+u x ϵ Ω ,t>0)┤ Where χ∈ and f(u) =Au - Buα generalizes the logistic function with A≥0, B>0 and α>1. First for τ=0, global existence of such solutions for any nonnegative initial data is proved under the assumption that . Moreover, boundedness properties of the constructed solutions are studied. Next we assume that 2=α, τ>0 and we consider nonnegative solutions of the Neumann
Boundary value problem for the chemotaxis system above in a smooth bounded convex domain . We will see that if B is sufficiently large then for all sufficiently smooth initial data the...
Boundary value problem for the chemotaxis system above in a smooth bounded convex domain . We will see that if B is sufficiently large then for all sufficiently smooth initial data the...
The Effect of Macroeconomic Volatility on Income Distribution of Iranian Households
, M.Sc. Thesis Sharif University of Technology ; Nili, Masoud (Supervisor)
Abstract
In this study, we investigate the effect of the macroeconomic volatility on the income distribution of Iranian households from two descriptive and causal aspects. In the descriptive section, by using the national accounts and the data on urban household expenditures and income, from the years 1997 to 2018, the relationship between macroeconomic variables and household budget is extracted, and the "Income Distribution-Business Cycle" is portrayed. In the causal section, a two-step reduced form model with fixed effects is used to estimate the effect of GDP fluctuations on inequality and income distribution fluctuations of Iranian households. This is done using the panel data from the...
The non-significant benefit of BCG vaccination for the treatment of iranian patients with type 1 diabetes up to 48 weeks: a controversial result
, Article Medical Journal of the Islamic Republic of Iran ; Volume 35, Issue 1 , 2021 , Pages 1-5 ; 10161430 (ISSN) ; Zarei, P ; Shakerian, B ; Babaei, M ; Mostafavi, A ; Modaressi, M ; Sharif University of Technology
Iran University of Medical Sciences
2021
Abstract
Background: There has been considerable interest in target immunotherapy in patients with diabetes. This study was designed to identify the effect of BCG vaccination in the treatment of Iranian patients with longstanding diabetes mellitus type 1. Methods: After approval of the cross-sectional study protocol by the ethics committee under number IRCT2017042919940N2, a total of 19 Iranian volunteers with diabetes mellitus type 1 completed this 48-month study. These patients received three 0.1 ml intradermal injections of BCG vaccination in weeks 0, 4 and 24. The serum level of glucose, HgbA1C and c-peptide was measured before and serially after the interventions. Insulin requirements were...