Optimization of anemia treatment in hemodialysis patients via reinforcement learning

P Escandell-Montero, M Chermisi… - Artificial intelligence in …, 2014 - Elsevier
Objective Anemia is a frequent comorbidity in hemodialysis patients that can be successfully
treated by administering erythropoiesis-stimulating agents (ESAs). ESAs dosing is currently …

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 …

Adding self-renewal in committed erythroid progenitors improves the biological relevance of a mathematical model of erythropoiesis

F Crauste, L Pujo-Menjouet, S Génieys… - Journal of theoretical …, 2008 - Elsevier
We propose a new mathematical model of erythropoiesis that takes a positive feedback of
erythrocytes on progenitor apoptosis into account, and incorporates a negative feedback of …

A model of erythropoiesis in adults with sufficient iron availability

DH Fuertinger, F Kappel, S Thijssen, NW Levin… - Journal of mathematical …, 2013 - Springer
In this paper we present a model for erythropoiesis under the basic assumption that
sufficient iron availability is guaranteed. An extension of the model including a sub-model for …

Unraveling disease pathophysiology with mathematical modeling

BH Foy, BP Gonçalves… - Annual Review of …, 2020 - annualreviews.org
Modeling has enabled fundamental advances in our understanding of the mechanisms of
health and disease for centuries, since at least the time of William Harvey almost 500 years …

The role of spatial organization of cells in erythropoiesis

N Eymard, N Bessonov, O Gandrillon, MJ Koury… - Journal of mathematical …, 2015 - Springer
Erythropoiesis, the process of red blood cell production, occurs mainly in the bone marrow.
The functional unit of mammalian erythropoiesis, the erythroblastic island, consists of a …

Quantitative analysis of mechanisms that govern red blood cell age structure and dynamics during anaemia

NJ Savill, W Chadwick, SE Reece - PLoS computational biology, 2009 - journals.plos.org
Mathematical modelling has proven an important tool in elucidating and quantifying
mechanisms that govern the age structure and population dynamics of red blood cells …

Mathematical study of feedback control roles and relevance in stress erythropoiesis

F Crauste, I Demin, O Gandrillon, V Volpert - Journal of theoretical biology, 2010 - Elsevier
This work is devoted to mathematical modelling of erythropoiesis. We propose a new multi-
scale model, in which we bring together erythroid progenitor dynamics and intracellular …

Modeling erythroblastic islands: using a hybrid model to assess the function of central macrophage

S Fischer, P Kurbatova, N Bessonov… - Journal of theoretical …, 2012 - Elsevier
The production and regulation of red blood cells, erythropoiesis, occurs in the bone marrow
where erythroid cells proliferate and differentiate within particular structures, called …

Stochastic modeling of stress erythropoiesis using a two-type age-dependent branching process with immigration

O Hyrien, SA Peslak, NM Yanev, J Palis - Journal of mathematical biology, 2015 - Springer
The erythroid lineage is a particularly sensitive target of radiation injury. We model the
dynamics of immature (BFU-E) and mature (CFU-E) erythroid progenitors, which have …