Although Ordinary Differential Equations (ODEs) have been used to model Genetic Regulatory Networks (GRNs) in many previous works, their steady-state behaviors are not well studied...
Abstract. Recent advances in molecular biology are providing new opportunities for breast cancer imaging. Our approach uses ultrasound to image viscoelastic features of tumors. The...
sented by abstract mathematical structures, and visualization is used to convert these into pictures. At the core of every simulation is a mathematical model that is evaluated by a...
Background: A finite state machine manipulating information-carrying DNA strands can be used to perform autonomous molecular-scale computations at the cellular level. Results: We ...
In this paper we develop partial differential equations (PDEs) that model the generation of a large class of morphological filters, the levelings and the openings/closings by rec...