[图书][B] Elliptic partial differential equations
VA Volʹpert - 2014 - Springer
If we had to formulate in one sentence what this book is about, it might be “How partial
differential equations can help to understand heat explosion, tumor growth or evolution of …
differential equations can help to understand heat explosion, tumor growth or evolution of …
Blood cell dynamics: half of a century of modelling
L Pujo-Menjouet - Mathematical Modelling of Natural …, 2016 - mmnp-journal.org
The objective of this paper is to give a review of the main works dealing with mathematical
modeling of blood cell formation, disorders and treatments within the past fifty years. From …
modeling of blood cell formation, disorders and treatments within the past fifty years. From …
[PDF][PDF] Existence and exponential stability of positive almost periodic solutions for a model of hematopoiesis
Research Article Existence and Exponential Stability of Positive Almost Periodic Solutions for a
Model of Hematopoiesis Page 1 Hindawi Publishing Corporation Boundary Value Problems …
Model of Hematopoiesis Page 1 Hindawi Publishing Corporation Boundary Value Problems …
Stability and Hopf bifurcation for a cell population model with state-dependent delay
We propose a mathematical model describing the dynamics of a hematopoietic stem cell
population. The method of characteristics reduces the age-structured model to a system of …
population. The method of characteristics reduces the age-structured model to a system of …
Stability analysis of a state-dependent delay differential equation for cell maturation: analytical and numerical methods
We consider a mathematical model describing the maturation process of stem cells up to
fully mature cells. The model is formulated as a differential equation with state-dependent …
fully mature cells. The model is formulated as a differential equation with state-dependent …
Stability analysis of cell dynamics in leukemia
In order to better understand the dynamics of acute leukemia, and in particular to find
theoretical conditions for the efficient delivery of drugs in acute myeloblastic leukemia, we …
theoretical conditions for the efficient delivery of drugs in acute myeloblastic leukemia, we …
Three dimensional de novo micro bone marrow and its versatile application in drug screening and regenerative medicine
The finding that bone marrow hosts several types of multipotent stem cell has prompted
extensive research aimed at regenerating organs and building models to elucidate the …
extensive research aimed at regenerating organs and building models to elucidate the …
[HTML][HTML] A multiscale model of the bone marrow and hematopoiesis
AS Silva, ARA Anderson… - … and engineering: MBE, 2011 - ncbi.nlm.nih.gov
The bone marrow is necessary for renewal of all hematopoietic cells and critical for
maintenance of a wide range of physiologic functions. Multiple human diseases result from …
maintenance of a wide range of physiologic functions. Multiple human diseases result from …
Turnpike theorem for an infinite horizon optimal control problem with time delay
MA Mammadov - SIAM Journal on Control and Optimization, 2014 - SIAM
An optimal control problem for systems described by a special class of nonlinear differential
equations with time delay is considered. The cost functional adopted could be considered as …
equations with time delay is considered. The cost functional adopted could be considered as …
Stem cell fate decision making: modeling approaches
AA Spector, WL Grayson - ACS biomaterials science & …, 2017 - ACS Publications
Mathematical (computational) modeling approaches can be effective tools in providing
insight into cell-fate decisions. In this article, several major approaches to the modeling of …
insight into cell-fate decisions. In this article, several major approaches to the modeling of …