Mathematical models in Biology.

 

Dr. Carmen Oana Tărniceriu

Main research interests:

Mathematical Biology

Computational Neuroscience

Main techniques involved

Theory of ordinary and partial differential equations,

Control Theory,

Numerical Analysis, Matlab programming.

Relevant state of art, equipment and techniques.

We intend to carry out research on the mathematical modeling and simulations of biological populations, with special focus on populations of neurons, via the so-called population density approach. In the special case of populations of neurons, we are considering neurons described by one of the known single neuron models and analyze the dynamics in time of the density of neurons in the space described by the single neuron model. We are interested in particular to find out special conditions that can lead to special behaviors of the neural populations. We consider next numerical simulations of the proposed models.

Publications

  1. Analysis of Synchronization in a Neural Population by a Population Density Approach, in collaboration with A. Garenne, J. Henry, Math. Model. Nat. Phenom. Vol. 5, No. 2, 2010, pp. 5-25
  2. Stabilization for a periodic predator-prey system, in collaboration with S. Anita, “Abstract and Applied Analysis”, volume 2007;
  3. Optimal Control for a Class of Size-Structured Systems, in collaboration with V.M.Veliov „Lecture Notes in Computer Science”, volume 4818, Springer Verlag, 2008;
  4. Asymptotic behavior for a nonlinear age-structured population model with diffusion, „Analele Ştiinţifice ale Universităţii Al. I. Cuza Iaşi”, fasc. 2 (Tomul LIV), 2008;
  5. Optimal Strategy for a Harvesting Problem of Population Dynamics with Logistic Term, „Analele Ştiinţifice ale Universităţii Al. I. Cuza Iaşi”, 56 (fasc I), 2010, 25-38.

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