<p>(A) The model estimates the time evolution of each one of the cell subpopulations considered, fully differentiated cells (D; blue line); progenitor cells (P; red line); and cancer stem cells (CSC; green line). (B) by plotting the cell fractions for each cell population (D/N; blue line), (P/N; red line), and (CSC/N; green line), it is possible to search for feasible and biologically consistent solutions (i.e. d[CSC/N]/dt = 0; C/N<0.01). (C) Only a relatively small set of parameter combinations result in solutions that satisfy the constraint d[CSC/N]/dt = 0. The solution defined by the vector Φ<sub>i/j</sub> = [1.0, 0.01, 5.35, 0.8, 0.01, 0.1, 1.0] satisfy d[CSC/N]/dt = 0 only if when the specific value of Φ<sub>4/1</sub> = 5.35 was used (...
<p>The mathematical model considers three levels of the differentiation hierarchy of cells: stem cel...
Purpose: To model the dynamic equilibrium of different cell compartments for quantification of tumor...
<p><b>Copyright information:</b></p><p>Taken from "Numerical modelling of label-structured cell popu...
<p>(A) A graphical representation summarizing the model parameters required to calculate the total n...
The goal of the paper is to compute efficiently solutions for model equations that have the potentia...
<p>The graph shows the evolution through time iterations of the number of Differentiated Cancer Cell...
Purpose: The phenotypic plasticity of cancer cells is recently becoming a cutting-edge research area...
<p>Mutations of stem cells are not taken into account (<i>ν</i><sub>2</sub> = 0.0, <i>ν</i><sub>3</s...
Cancer Stem Cells (CSC), a subset of cancer cells resembling normal stem cells with self-renewal and...
Cancer Stem Cells (CSC), a subset of cancer cells resembling normal stem cells with self-renewal and...
<p>(A–C) Numerical solution of the model equations showing the time evolution of healthy (blue line)...
<p>Time evolution of: populations by cell type (top), local fitness by cell type (middle), and neigh...
<p>(A) Normal hematopoiesis is assumed in six maturation steps: long-term repopulating stem cells (L...
<p>(A) Different cell populations are found in solid tumors. For simplicity, the model considers onl...
<p><b>B)</b> Simulation snapshots of the smallest, an average-sized and biggest tumor in the control...
<p>The mathematical model considers three levels of the differentiation hierarchy of cells: stem cel...
Purpose: To model the dynamic equilibrium of different cell compartments for quantification of tumor...
<p><b>Copyright information:</b></p><p>Taken from "Numerical modelling of label-structured cell popu...
<p>(A) A graphical representation summarizing the model parameters required to calculate the total n...
The goal of the paper is to compute efficiently solutions for model equations that have the potentia...
<p>The graph shows the evolution through time iterations of the number of Differentiated Cancer Cell...
Purpose: The phenotypic plasticity of cancer cells is recently becoming a cutting-edge research area...
<p>Mutations of stem cells are not taken into account (<i>ν</i><sub>2</sub> = 0.0, <i>ν</i><sub>3</s...
Cancer Stem Cells (CSC), a subset of cancer cells resembling normal stem cells with self-renewal and...
Cancer Stem Cells (CSC), a subset of cancer cells resembling normal stem cells with self-renewal and...
<p>(A–C) Numerical solution of the model equations showing the time evolution of healthy (blue line)...
<p>Time evolution of: populations by cell type (top), local fitness by cell type (middle), and neigh...
<p>(A) Normal hematopoiesis is assumed in six maturation steps: long-term repopulating stem cells (L...
<p>(A) Different cell populations are found in solid tumors. For simplicity, the model considers onl...
<p><b>B)</b> Simulation snapshots of the smallest, an average-sized and biggest tumor in the control...
<p>The mathematical model considers three levels of the differentiation hierarchy of cells: stem cel...
Purpose: To model the dynamic equilibrium of different cell compartments for quantification of tumor...
<p><b>Copyright information:</b></p><p>Taken from "Numerical modelling of label-structured cell popu...