José Alonso

Analysis of a New Model of Cell Population Dynamics in Acute Myeloid Leukemia

A new mathematical model of the cell dynamics in Acute Myeloid Leukemia (AML) is considered which takes into account the four different phases of the proliferating compartment. The dynamics of the cell populations are governed by transport partial differential equations structured in age and by using the method of characteristics, we obtain that the dynamical system of equation can be reduced to two coupled nonlinear equations with four internal sub-systems involving distributed delays. Equilibrium and local stability analysis of this model are performed and several simulations illustrate the results.

Comprehensive analysis of interstellar iso-propyl cyanide up to 480 ghz

Iso-propyl cyanide, also known as iso-butyronitrile, is a branched alkyl molecule recently detected in the interstellar medium.a A combination of Stark-modulated microwave spectroscopy and frequency-modulated millimeter and submillimeter wave spectroscopy was used to analyze its rotational spectrum from 26 to 480 GHz. Spectral assignments and analysis include transitions from the ground state, eight excited vibrational states and C isotopologues. Results of this work should facilitate astronomers further observations of iso-propyl cyanide in the interstellar medium.