A model for the ontogenetic growth of interacting individuals

L. BARBERIS; C.A. CONDAT

Angra dos Reis, Brasil

Workshop; Workshop on mathemtical methods and modeling of biophysical phenomena; 2009

Instituto Nacional de Matemática Pura e Aplicada

Ontogenetic growth models have been used to describe animal and plant growth. Lately their application has been extended to cancer growth, a topic of our current interest. We have generalized the “phenomenological universality” growth model proposed by P.P. Delsanto and collaborators in 2006 in order to include the interaction between growing individuals. Our preliminary results indicate that the evolution of the interacting system is controlled by the dynamic initial conditions. The various possible cases will be discussed in detail.