Special Session 24: Mathematical Problems in Cancer Research
نویسنده
چکیده
Hematopoiesis is a complex biological process that leads to the production and regulation of blood cells. It is based upon differentiation of stem cells. This process sometimes exhibits abnormalities in blood cells production, causing the so-called dynamical hematological diseases. A severe hematological disease is Chronic Myelogenous Leukemia (CML), a cancer of white blood cells. In some cases, Chronic Myelogenous Leukemia exhibits periodic oscillations in all blood cell counts, with periods falling in the range of 30-110 days, but usually about 70-80 days. In this work, we present a model of hematopoiesis dynamics. We analyze the asymptotic stability of the steady states and we numerically illustrate our results and obtain very rich dynamics of our model that we relate to observations of periodic chronic myelogenous leukemia.
منابع مشابه
Special Session 33: Nonlinear Elliptic and Parabolic Problems in Mathematical Sciences
Recent developments of mathematical study for nonlinear PDEs (partial di↵erential equations) provide new ideas and various techniques based on calculus of variations, dynamical systems, asymptotic analysis, qualitative theory etc. In this session we bring together researchers in this research area to present new results for nonlinear parabolic and elliptic equations arising from mathematical sc...
متن کاملSelf-adaptive Differential Evolution Algorithm for Constrained Real-Parameter Optimization [CEC7569]
In this paper, we propose an extension of Self-adaptive Differential Evolution algorithm (SaDE) to solve optimization problems with constraints. In comparison with the original SaDE algorithm, the replacement criterion was modified for handling constraints. The performance of the proposed method is reported on the set of 24 benchmark problems provided by CEC2006 special session on constrained r...
متن کاملSpecial Session 50: Evolution Equations and Inclusions With Applications to Control, Mathematical Modeling and Mechanics
The session will focus on the recent developments in the theory of nonlinear evolution equations, optimal control theory and related topics including real life problems of mechanics, biology, economics, and medicine. The main topics of the session include, but are not limited to, analysis of solutions of evolution problems and partial differential equations, operator inclusions, evolution inclu...
متن کاملOccupational Therapy Interventions Effect on Mathematical Problems in Students with Special Learning Disorders
Objectives: Dyscalculia is specific learning disabilities affecting the acquisition of mathematic skills in an otherwise normal child. The aim of this study was investigation of occupational therapy interventions effect on mathematical problems in students with special learning disorders. Methods: 40 students with dyscalculia (2-5 grades) were selected and divided through randomized permuted...
متن کاملSpecial Session 28: Analysis and Numerics of Di↵erential Equations and Dynamical Systems in Mathematical Fluid Mechanics
In the last decades great progresses have been made in the field of mathematical fluid mechanics both theoretically and numerically by using theory of di↵erential equations and dynamical systems. The aim of this special session is to bring together researchers in this area to present most recent results, ideas and discuss on future research directions. The topics in this special session will ra...
متن کامل