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Association of Serum Vitamin D level and COVID-19 infection: A Case-control Study
(
HBKU Press
, 2022 , Article)
Background: Vitamin D is considered a potent modulator of the immune system, albeit its role in COVID-19 infection is a matter of debate. The present study aimed to estimate the association between serum vitamin D levels ...
SEIRD model for Qatar COVID-19 outbreak: A case study
(
Intercollegiate Biomathematics Alliance
, 2021 , Article)
The COVID-19 outbreak of 2020 has required many governments to develop mathematical-statistical models of the outbreak for policy and planning purposes. This work provides a tutorial on building a compartmental model using ...
Computation of conformal invariants
(
Elsevier
, 2020 , Article)
We study numerical computation of conformal invariants of domains in the complex plane. In particular, we provide an algorithm for computing the conformal capacity of a condenser. The algorithm applies to a wide variety ...
Application of integral equations to simulating local fields in carbon nanotube reinforced composites
(
Elsevier
, 2020 , Book chapter)
We consider the steady heat conduction problem within a thermal isotropic and homogeneous square ring composite reinforced by nonoverlapping and randomly distributed carbon nanotubes (CNTs). We treat the CNTs as rigid line ...
Boundary optimal control design for a system of parabolic-hyperbolic PDEs coupled with an ODE
(
Taylor and Francis Ltd.
, 2020 , Article)
This paper deals with the design of a boundary optimal controller for a general model of parabolic-hyperbolic PDEs coupled with an ODE. The augmented infinite-dimensional state-space representation has been used in order ...
Control of parabolic PDEs with time-varying spatial domain: Czochralski crystal growth process
(
Taylor and Francis Ltd.
, 2013 , Article)
This paper considers the optimal control problem for a class of convection-diffusion-reaction systems modelled by partial differential equations (PDEs) defined on time-varying spatial domains. The class of PDEs is characterised ...
Boundary optimal control of coupled parabolic PDE-ODE systems
(
IFAC Secretariat
, 2014 , Conference Paper)
This paper deals with boundary optimal control problem for coupled parabolic PDEODE systems. The problem is studied using infinite-dimensional state space representation of the coupled PDE-ODE system. Linearization of the ...
Infinite-dimensional LQ optimal control of a dimethyl ether (DME) catalytic distillation column
(
Elsevier
, 2012 , Article)
This contribution addresses the development of a linear quadratic (LQ) regulator in order to control the concentration profiles along a catalytic distillation column, which is modelled by a set of coupled hyperbolic partial ...
Boundary optimal (LQ) control of coupled hyperbolic PDEs and ODEs
(
Elsevier
, 2013 , Article)
This contribution addresses the development of a linear quadratic (LQ) regulator for a set of hyperbolic PDEs coupled with a set of ODEs through the boundary. The approach is based on an infinite-dimensional Hilbert ...
Duality-based optimal compensator for boundary control hyperbolic PDEs system: Application to a tubular cracking reactor
(
Elsevier
, 2020 , Article)
This paper is devoted to the design of an optimal stabilizing compensator for a boundary control distributed parameter system that is described by a set of hyperbolic partial differential equations (PDEs). The standard ...