David Murrugarra Tomairo

 
 


Summer I 2009: Math 1526, Elementary Calculus with Matrices.

Spring 2009: Math 2015, Elementary Calculus with Trig II

Fall 2008: Math 2015, Elementary Calculus with Trig II

Spring 2008: Math 1224 recitations, Vector Geometry.

Fall 2007: Math 1224 recitations, Vector Geometry.

Summer II 2007: Math 1114, Linear algebra (online course)


 

Computational Biomathematics: Toward Optimal Control Of Complex Biological Systems.   

As part of my thesis project I have been working on a generalization of the concept of Nested Canalyzing Functions (NCFs) for a larger finite field (currently this concept is well used only for the Boolean case, where the field has two elements). NCFs are a possible source for models of biological networks with favorable dynamical properties. NCFs can be given a polynomial form over a finite field. I am interested in studying the algebraic variety associated with the coefficients of NCFs, which seems to be always a toric variety. Toric varieties have rich geometric and combinatorial properties to be explored using tools from algebra and computational algebraic geometry. A second part of this project would be the incorporation of NCFs as a technique for network inference for discrete biochemical networks, being the best candidate to start with the multi-state logical models.


Curriculum Vitae:

cvdavidmur.pdf



Some interesting links

Teaching