Marked continuous-time Markov chain modelling of burst behaviour for single ion channels.
Mathematical model for the basilar membrane as a two dimensional plate.
Mathematical model of an immune system with random time of reaction
Mathematical Model of Blood Flow in an Anatomically Detailed Arterial Network of the Arm
A distributed-parameter (one-dimensional) anatomically detailed model for the arterial network of the arm is developed in order to carry out hemodynamics simulations. This work focuses on the specific aspects related to the model set-up. In this regard, stringent anatomical and physiological considerations have been pursued in order to construct the arterial topology and to provide a systematic estimation of the involved parameters. The model comprises 108 arterial segments, with 64 main arteries...
Mathematical modelling of profiled haemodialysis: A simplified approach.
Mathematical modelling of the interleukin-2 T-cell system: A comparative study of approaches based on ordinary and delay differential equations.
Modeling Pulsatility in the Human Cardiovascular System
AMS Subj. Classification: 92C30In this study we investigated, modified and combined two existing mathematical cardiovascular models, a non-pulsatile global model and a simplified pulsatile left heart model. The first goal of the study was to integrate these models. The main objective is to have a global lumped parameter pulsatile model that predicts the pressures in the systemic and pulmonary circulation, and specifically the pulsatile pressures in the the finger arteries where real-time measurements...
Modeling recruitment maneuvers with a variable compliance model for pressure controlled ventilation.
Modeling the cytokine networkin vitro and in vivo.
Modelling Physiological and Pharmacological Control on Cell Proliferation to Optimise Cancer Treatments
This review aims at presenting a synoptic, if not exhaustive, point of view on some of the problems encountered by biologists and physicians who deal with natural cell proliferation and disruptions of its physiological control in cancer disease. It also aims at suggesting how mathematicians are naturally challenged by these questions and how they might help, not only biologists to deal theoretically with biological complexity, but also physicians to optimise therapeutics, on which last point the...