Subcritical multitype Markov branching processes with immigration generated by Poisson random measures

Slavtchova-Bojkova, Maroussia; Hyrien, Ollivier; Yanev, N. M.

doi:10.1080/03610926.2023.2205972

Communications in Statistics - Theory and Methods

2023

DOI: 10.1080/03610926.2023.2205972

|View full text |Cite

Subcritical multitype Markov branching processes with immigration generated by Poisson random measures

Maroussia Slavtchova-Bojkova

Ollivier Hyrien

N. M. Yanev

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2024

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

References 30 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

A branching stochastic evolutionary model of the B-cell repertoire

Hyrien,

Yanev

2024

J. Math. Biol.

View full text Add to dashboard Cite

We propose a stochastic framework to describe the evolution of the B-cell repertoire during germinal center (GC) reactions. Our model is formulated as a multitype age-dependent branching process with time-varying immigration. The immigration process captures the mechanism by which founder B cells initiate clones by gradually seeding GC over time, while the branching process describes the temporal evolution of the composition of these clones. The model assigns a type to each cell to represent attributes of interest. Examples of attributes include the binding affinity class of the B cells, their clonal family, or the nucleotide sequence of the heavy and light chains of their receptors. The process is generally non-Markovian. We present its properties, including as $$t\rightarrow \infty $$ t → ∞ when the process is supercritical, the most relevant case to study expansion of GC B cells. We introduce temporal alpha and beta diversity indices for multitype branching processes. We focus on the dynamics of clonal dominance, highlighting its non-stationarity, and the accumulation of somatic hypermutations in the context of sequential immunization. We evaluate the impact of the ongoing seeding of GC by founder B cells on the dynamics of the B-cell repertoire, and quantify the effect of precursor frequency and antigen availability on the timing of GC entry. An application of the model illustrates how it may help with interpretation of BCR sequencing data.

show abstract

A branching stochastic evolutionary model of the B-cell repertoire

Hyrien,

Yanev

2024

J. Math. Biol.

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Subcritical multitype Markov branching processes with immigration generated by Poisson random measures

Cited by 1 publication

References 30 publications

A branching stochastic evolutionary model of the B-cell repertoire

A branching stochastic evolutionary model of the B-cell repertoire

Contact Info

Product

Resources

About