A mathematical tumor model with immune resistance and drug therapy: An optimal control approach.
A Maturity-Structured Mathematical Model of Mutation, Acquisition in the Absence of Homeostatic Regulation
Most mammalian tissues are organized into a hierarchical structure of stem, progenitor, and differentiated cells. Tumors exhibit similar hierarchy, even if it is abnormal in comparison with healthy tissue. In particular, it is believed that a small population of cancer stem cells drives tumorigenesis in certain malignancies. These cancer stem cells are derived from transformed stem cells or mutated progenitors that have acquired stem-cell qualities, specifically the ability to self-renew. Similar...
A mixed-culture model of a probiotic biofilm control system.
A model for liver homeostasis using modified mean-reverting Ornstein-Uhlenbeck process.
A model incorporating some of the mechanical and biochemical factors underlying clot formation and dissolution in flowing blood.
A model of cardiac tissue as an excitable medium with two interacting pacemakers having refractory time
A quite general model of the nonlinear interaction of two impulse systems describing some types of cardiac arrhythmias is developed. Taking into account a refractory time the phase locking phenomena are investigated. Effects of the tongue splitting and their interweaving in the parametric space are found. The results obtained allow us to predict the behavior of excitable systems with two pacemakers depending on the type and intensity of their interaction and the initial phase.
A model of N-terminal cyclin T1 based on FRET experiments.
A model of proliferation control in immune response
A new lightweight method for security risk assessment based on fuzzy cognitive maps
A new mathematical model for assessing therapeutic strategies for HIV infection.
A New Mathematical Model of Syphilis
The CDC launched the National Plan to Eliminate Syphilis from the USA in October 1999 [4]. In order to reach this goal, a good understanding of the transmission dynamics of the disease is necessary. Based on a SIRS model Breban et al. [3] provided some evidence that supports the feasibility of the plan proving that no recurring outbreaks should occur for syphilis. We study in this work a syphilis model that includes partial...
A new OSS design based on parameter sensitivity to changes in measurements
A novel medical diagnosis system.
A numerical investigation of heat transfer cardiac output measurements.
A predictive method allowing the use of a single ionic model in numerical cardiac electrophysiology
One of the current debate about simulating the electrical activity in the heart is the following: Using a realistic anatomical setting, i.e. realistic geometries, fibres orientations, etc., is it enough to use a simplified 2-variable phenomenological model to reproduce the main characteristics of the cardiac action potential propagation, and in what sense is it sufficient? Using a combination of dimensional and asymptotic analysis, together with the well-known Mitchell − Schaeffer model, it is shown...
A probability approach to the study on uncertainty effects on gamma index evaluations in radiation therapy.
A review of vasculogenesis models.
A simple mathematical method to predict the course of a first episode of liver viral cytolysis.
A simple mathematical model of the human liver
The parameter estimation problem for a continuous dynamical system is a difficult one. In this paper we study a simple mathematical model of the liver. For the parameter identification we use the observed clinical data obtained by the BSP test. Bellman’s quasilinearization method and its modifications are applied.
A simple mathematical standardized measurement of acetabulum anteversion after total hip arthroplasty.