Related Experiment Video
Updated: Apr 11, 2026
12:44
Identification of Key Factors Regulating Self-renewal and Differentiation in EML Hematopoietic Precursor Cells by RNA-sequencing Analysis
Published on: November 11, 2014
12.8K
Mathematical Modelling as a Tool to Understand Cell Self-renewal and Differentiation
Philipp Getto1, Anna Marciniak-Czochra
1TU Dresden, Fachrichtung Mathematik, Institut für Analysis, 01062, Dresden, Germany, philipp.getto@tu-dresden.de.
Methods in Molecular Biology (Clifton, N.J.)
|June 5, 2015
Summary
Mathematical modeling offers quantitative insights into stem cell population dynamics. This review introduces ordinary differential equation models for cell kinetics and homeostasis, comparing discrete and continuous frameworks using blood system examples.
Area of Science:
- * Systems Biology and Mathematical Biology
- * Computational Biology and Biophysics
Background:
- * Mathematical modeling is crucial for understanding complex biological systems, offering quantitative insights into cell kinetics, fate determination, and population development.
- * Stem cell dynamics are fundamental to development and tissue homeostasis, necessitating robust analytical tools.
Purpose of the Study:
- * To review mathematical modeling approaches for stem cell-initiated systems using ordinary differential equations.
- * To provide a gentle introduction to cell population dynamics for non-mathematicians.
- * To present two distinct mathematical frameworks (discrete and continuous) for modeling cell differentiation transitions.
Main Methods:
- * Application of ordinary differential equations to model the dynamics of stem cell populations.
- * Development of discrete and continuous mathematical frameworks to represent cell transition dynamics.
- * Analysis of models using examples from blood systems and comparison with healthy hematopoiesis patient data.
Main Results:
- * Summarized basic concepts and tools for cell population dynamics, accessible to non-mathematicians.
- * Proposed two mathematical frameworks (discrete and continuous) to model stem cell differentiation and homeostasis.
- * Demonstrated the application and comparison of these models using blood system data.
Conclusions:
- * Mathematical modeling, particularly with ordinary differential equations, provides valuable quantitative insights into stem cell dynamics and population regulation.
- * Both discrete and continuous modeling frameworks offer distinct advantages and constraints for analyzing cell fate transitions and homeostasis.
- * The presented models, when applied to blood systems, show potential for understanding healthy hematopoiesis and can be compared with clinical data.
Related Concept Videos
01:12Renewal of Skin Epidermal Stem Cells
3.3K
The skin is divided into epidermis, dermis, and hypodermis, the skin's outermost, middle, and inner layers. The human epidermal layer regularly undergoes renewal, where old, dead cells are replaced by new cells. Epidermal stem cells or EpiSCs divide and differentiate to restore the lost cells. For the renewal process, some EpiSCs continuously self-renew. In contrast, few others differentiate into transit-amplifying cells, which later form prickle or spinous cells, followed by granular...
3.3K
01:14Maintenance of the ES Cell State
2.8K
The cells of the blastocyst inner cell mass only remain pluripotent for a short time. This state of pluripotency and self-renewal can be maintained in embryonic stem (ES) cell culture by adding specific chemicals or growth factors to ensure the cells can continue dividing and later differentiate into different cell types. In some cases, the cells are grown on a feeder layer of differentiated cells, which provides the growth factors and extracellular matrix components necessary for stem cell...
2.8K
02:36Cells Coordinate Growth and Proliferation
5.3K
Cell size is a significant factor impacting cellular design, function, and fitness. There exists some internal coordination by which cells double their masses before division, thus, achieving homeostasis. Coordination between cell growth and proliferation depends on the checkpoints in between cell cycle phases. Loss of coordination or failure in the checkpoint mechanism can drive the cell to uncontrolled growth and loss of cellular function. Like dividing cells that coordinate cellular growth,...
5.3K
02:36Cells Coordinate Growth and Proliferation
3.3K
3.3K
01:19Multipotency of Hematopoietic Stem Cells
4.2K
The hematopoietic stem cells or HSCs are multipotent, meaning they can differentiate and give rise to all blood and immune cells. HSCs are maintained in the quiescent stage until an external stimulus initiates their differentiation. The multipotent HSCs exist as two heterogeneous populations, long-term repopulating cells (LTRC) and short-term repopulating cells (STRC). The two HSC populations have different surface markers or receptors and are classified based on quiescence and long-term...
4.2K
01:23Tissue Renewal without Stem Cells
2.3K
After cellular or tissue damage, the resident stem cells present in the human body can locally repair and regenerate the damaged tissue or organ. However, even though some tissues do not have stem cells, they can repair and regenerate with the help of pre-existing cells. For example, beta cells of the pancreas and hepatocytes of the liver can divide to renew and regenerate the tissue. Here, both cell division and cell death are well regulated by homeostasis.
However, failure of such a system...
However, failure of such a system...
2.3K