Niloofar Farajzadeh Tehrani

Department of Mathematical Sciences
Sharif University of Technology
Tehran, Iran.

I did my PhD in Mathematics at Sharif University of Technology,
under the supervison of Dr. Mohammad Reza Razvan.
Now I am a Postdoctoral Researcher at Sharif University of Technology.
You can find my CV here.
You can follow my Neuroscience weblog.




Research Interests

I'm interested in dynamical system approach to deal with problems in different areas such as in Neuroscience and Epidemiology.

Mathematical Neuroscience

Neurons and their interactions are generally assumed to be the determinant of the brain performance. The simplest model to display features of neural interactions consists of two coupled neurons or neural systems. Starting from such simple and reduced networks, larger networks can be built and their features may be studied. In this way I'm working on a model of two coupled neurons with delay.

Delay Differential Equations

From the modeling viewpoint, delay in dynamical systems is exhibited whenever the system's behavior is dependent at least in part on its history. There are many technological and biological systems which exhibit such behavior. Some examples of delayed systems are coupled lasers, high-speed milling, population dynamics and gene expression.

Dynamical Systems

Actually Dynamical systems theory is a powerful method to describe the behavior of complex dynamical systems, usually by employing differential equations or difference equations. In this way, bifurcation theory used to study changes in qualitative or topological structure of a given family of differential equations. More specially I am interested in biological applications of bifurcation theory, which provide a framework for understanding the behavior of biological networks modeled as dynamical systems. In the context of a biological system, bifurcation theory describes how small changes in an input parameter can cause a bifurcation or qualitative change in the behavior of the system.

Epidemiology and Mathematical Modelling

Diseases are a ubiquitous part of human life. Many, such as the common cold, have minor symptoms and are purely an annoyance; but others, such as Ebola or AIDS, fill us with dread. It is the unseen and seemingly unpredictable nature of diseases, infecting some individuals while others escape, that has gripped our imagination. Over the past one hundred years, mathematics has been used to understand and predict the spread of diseases, relating important public-health questions to basic infection parameters. Mathematical models can project how infectious diseases progress to show the likely outcome of an epidemic and help inform public health interventions. Models use some basic assumptions and mathematics to find parameters for various infectious diseases and use those parameters to calculate the effects of possible interventions, like mass vaccination programmes.

Education

  • 2011-2016 : PhD, Mathematics, Sharif University of Technology, Tehran, Iran.
    Thesis title: Dynamics of Delayed Neuronal Systems
  • 2008-2010: M.Sc., Pure Mathematics, Sharif University of Technology, Tehran, Iran.
    Thesis title: Multiple Equilibria In Chemical Reaction Systems (Supervisor: Dr. Mohammad Reza Razvan)
  • 2004–2008: B.Sc., Mathematics, University of Tehran, Tehran, Iran.
  • 2000–2004 : High School Diploma in Math and Physics, Farzanegan Zeynab High School ( A branch of NODET High schools), Tehran, Iran.

Skills

  • DDE-BIFTOOL: A Matlab package for numerical bifurcation and stability analysis of delay differential equations
  • MATLAB
  • LaTeX

Contact Me

farajzadeh [at] mehr[.]sharif.ir
niloofarfarajzadeh83[at]gmail[.]com

Office Address:
Room 307, Department of Mathematical Sciences
Sharif University of Technology
P.O. Box 11155-9415
Tehran, Iran