DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Why are cell populations maintained via multiple compartments?

Journal Article · · Interface (Online)

We consider the maintenance of ‘product’ cell populations from ‘progenitor’ cells via a sequence of one or more cell types, or compartments, where each cell’s fate is chosen stochastically. If there is only one compartment then large amplification, that is, a large ratio of product cells to progenitors comes with disadvantages. The product cell population is dominated by large families (cells descended from the same progenitor) and many generations separate, on average, product cells from progenitors. These disadvantages are avoided using suitably constructed sequences of compartments: the amplification factor of a sequence is the product of the amplification factors of each compartment, while the average number of generations is a sum over contributions from each compartment. Passing through multiple compartments is, in fact, an efficient way to maintain a product cell population from a small flux of progenitors, avoiding excessive clonality and minimizing the number of rounds of division en route. We use division, exit and death rates, estimated from measurements of single-positive thymocytes, to choose illustrative parameter values in the single-compartment case. We also consider a five-compartment model of thymocyte differentiation, from double-negative precursors to single-positive product cells.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
European Commission; MCIN/AEI/10.13039/501100011033; USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
89233218CNA000001
OSTI ID:
2470453
Report Number(s):
LA-UR--21-2563
Journal Information:
Interface (Online), Journal Name: Interface (Online) Journal Issue: 196 Vol. 19; ISSN 1742-5662
Publisher:
The Royal SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (84)

Branching Processes in Biology book January 2002
Sample path properties of the average generation of a Bellman–Harris process journal May 2019
A short proof of Darboux's lemma journal January 1989
How many Cell-Generations ? journal August 1965
Computationally Efficient Bounds for the Catalan Numbers journal July 1986
Determining Lineage Pathways from Cellular Barcoding Experiments journal February 2014
Stem cell self-renewal in regeneration and cancer: Insights from mathematical modeling journal October 2017
Stem-cell dynamics and lineage topology from in vivo fate mapping in the hematopoietic system journal June 2016
Maintenance of Peripheral Naive T Cells Is Sustained by Thymus Output in Mice but Not Humans journal February 2012
Continuous Effector CD8 + T Cell Production in a Controlled Persistent Infection Is Sustained by a Proliferative Intermediate Population journal July 2016
Hematopoietic Stem Cells Are the Major Source of Multilineage Hematopoiesis in Adult Animals journal September 2016
T Cell Development by the Numbers journal February 2017
Hematopoiesis in numbers journal December 2021
A mathematical model of hematopoiesis—I. Periodic chronic myelogenous leukemia journal November 2005
How many TCR clonotypes does a body maintain? journal January 2016
Stem cell homeostasis by integral feedback through the niche journal November 2019
A new mechanism shapes the naïve CD8 + T cell repertoire: the selection for full diversity journal May 2017
The variance of the average depth of a pure birth process converges to 7 journal July 2019
Clonal Hematopoiesis and Evolution to Hematopoietic Malignancies journal February 2018
Intracellular competition for fates in the immune system journal September 2012
Stem cells, cancer, and cancer stem cells journal November 2001
Cell senescence and cancer journal December 2001
Dynamics of chronic myeloid leukaemia journal June 2005
Fundamental properties of unperturbed haematopoiesis from stem cells in vivo journal February 2015
T-cell stimuli independently sum to regulate an inherited clonal division fate journal November 2016
Hierarchical tissue organization as a general mechanism to limit the accumulation of somatic mutations journal February 2017
CD8+ T cell diversification by asymmetric cell division journal August 2015
Evidence from the generation of immunoglobulin G–secreting cells that stochastic mechanisms regulate lymphocyte differentiation journal November 2003
Evidence that hematopoiesis may be a stochastic process in vivo journal February 1996
Dynamic modeling of imatinib-treated chronic myeloid leukemia: functional insights and clinical implications journal October 2006
Mechanisms of aging: public or private? journal March 2002
Sonic hedgehog signalling in T-cell development and activation journal August 2007
Determining γδ versus αβ T cell development journal August 2010
Are senescence and exhaustion intertwined or unrelated processes that compromise immunity? journal March 2011
Effector and memory T-cell differentiation: implications for vaccine development journal April 2002
CD8+ T cell differentiation and dysfunction in cancer journal July 2021
Replicative history marks transcriptional and functional disparity in the CD8+ T cell memory pool journal April 2022
The distribution of cellular turnover in the human body journal January 2021
Reporting T cell proliferation journal May 2022
Mathematical modeling of cell population dynamics in the colonic crypt and in colorectal cancer journal February 2007
Murine thymic selection quantified using a unique method to capture deleted T cells journal March 2013
Asymmetric thymocyte death underlies the CD4:CD8 T-cell ratio in the adaptive immune system journal July 2013
Fluctuating fitness shapes the clone-size distribution of immune repertoires journal December 2015
Temporal fate mapping reveals age-linked heterogeneity in naive T lymphocytes in mice journal November 2015
A compartment size-dependent selective threshold limits mutation accumulation in hierarchical tissues journal January 2020
A Stochastic Model of stem cell Proliferation, Based on the Growth of Spleen Colony-Forming Cells journal January 1964
An Elementary Evaluation of the Catalan Numbers journal May 1978
Asymmetric cell division during T cell development controls downstream fate journal September 2015
Thymocytes may persist and differentiate without any input from bone marrow progenitors journal July 2012
Thymus-autonomous T cell development in the absence of progenitor import journal July 2012
Self-renewal of thymocytes in the absence of competitive precursor replenishment journal July 2012
Exact solution of a two-type branching process: models of tumor progression journal August 2011
Mutations of Bacteria from Virus Sensitivity to Virus Resistance journal November 1943
A deterministic model for the occurrence and dynamics of multiple mutations in hierarchically organized tissues journal August 2013
Replicative cellular age distributions in compartmentalized tissues journal August 2018
Competition-Induced Criticality in a Model of Meme Popularity journal January 2014
The natural history of naive T cells from birth to maturity journal August 2018
Some deterministic and stochastic mathematical models of naïve T-cell homeostasis journal August 2018
Asymmetric T Lymphocyte Division in the Initiation of Adaptive Immune Responses journal March 2007
Heterogeneous Differentiation Patterns of Individual CD8+ T Cells journal March 2013
Variation in cancer risk among tissues can be explained by the number of stem cell divisions journal January 2015
Stem cell divisions, somatic mutations, cancer etiology, and cancer prevention journal March 2017
Modulation of asymmetric cell division as a mechanism to boost CD8 + T cell memory journal April 2019
T Cell Fate at the Single-Cell Level journal May 2016
A Critique of Compartmental Analysis journal June 1981
Hematopoiesis and its disorders: a systems biology approach journal March 2010
To portray clonal evolution in blood cancer, count your stem cells journal April 2021
Differentiation and proliferation of hematopoietic stem cells journal June 1993
In vivo kinetics of murine hemopoietic stem cells journal November 2000
Visualizing hematopoiesis as a stochastic process journal October 2018
generatingfunctionology reference-book January 2005
Dynamics of Mutant Cells in Hierarchical Organized Tissues journal December 2011
The Role of Symmetric Stem Cell Divisions in Tissue Homeostasis journal December 2015
The invasion of de-differentiating cancer cells into hierarchical tissues journal July 2019
Symmetric vs. Asymmetric Stem Cell Divisions: An Adaptation against Cancer? journal October 2013
Distribution of the branching-process population among generations journal December 1971
Theories and Quantification of Thymic Selection journal January 2014
From pre-DP, post-DP, SP4, and SP8 Thymocyte Cell Counts to a Dynamical Model of Cortical and Medullary Selection journal January 2014
Modeling the Dynamics of T-Cell Development in the Thymus journal April 2021
Comprehensive Assessment and Mathematical Modeling of T Cell Population Dynamics and Homeostasis journal February 2008
T Cell Acute Lymphoblastic Leukemia as a Consequence of Thymus Autonomy journal February 2019
Reconstructing the in vivo dynamics of hematopoietic stem cells from telomere length distributions journal October 2015
The naive T-cell receptor repertoire has an extremely broad distribution of clone sizes journal March 2020
HSPCs display within-family homogeneity in differentiation and proliferation despite population heterogeneity journal May 2021