Within-host phenotypic evolution and the population-level control of chronic viral infections by treatment and prophylaxis

Standard

Within-host phenotypic evolution and the population-level control of chronic viral infections by treatment and prophylaxis. / Gromov, Dmitry; Romero-Severson, Ethan O.

In: Mathematics, Vol. 8, No. 9, 1500, 09.2020.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{eedcdf34f8a44187802890c102d1765b,

title = "Within-host phenotypic evolution and the population-level control of chronic viral infections by treatment and prophylaxis",

abstract = "Chronic viral infections can persist for decades spanning thousands of viral generations, leading to a highly diverse population of viruses with its own complex evolutionary history. We propose an expandable mathematical framework for understanding how the emergence of genetic and phenotypic diversity affects the population-level control of those infections by both non-curative treatment and chemo-prophylactic measures. Our frameworks allows both neutral and phenotypic evolution, and we consider the specific evolution of contagiousness, resistance to therapy, and efficacy of prophylaxis. We compute both the controlled and uncontrolled, population-level basic reproduction number accounting for the within-host evolutionary process where new phenotypes emerge and are lost in infected persons, which we also extend to include both treatment and prophylactic control efforts. We used these results to discuss the conditions under which the relative efficacy of prophylactic versus therapeutic methods of control are superior. Finally, we give expressions for the endemic equilibrium of these models for certain constrained versions of the within-host evolutionary model providing a potential method for estimating within-host evolutionary parameters from population-level genetic sequence data.",

keywords = "Basic reproduction number, Mathematical modeling, Multi-strain infectious diseases, Sensitivity analysis, MODELS, sensitivity analysis, mathematical modeling, DYNAMICS, multi-strain infectious diseases, basic reproduction number",

author = "Dmitry Gromov and Romero-Severson, {Ethan O.}",

note = "Publisher Copyright: {\textcopyright} 2020 by the authors.",

year = "2020",

month = sep,

doi = "10.3390/math8091500",

language = "English",

volume = "8",

journal = "Mathematics",

issn = "2227-7390",

publisher = "MDPI AG",

number = "9",

}

RIS

TY - JOUR

T1 - Within-host phenotypic evolution and the population-level control of chronic viral infections by treatment and prophylaxis

AU - Gromov, Dmitry

AU - Romero-Severson, Ethan O.

PY - 2020/9

Y1 - 2020/9

N2 - Chronic viral infections can persist for decades spanning thousands of viral generations, leading to a highly diverse population of viruses with its own complex evolutionary history. We propose an expandable mathematical framework for understanding how the emergence of genetic and phenotypic diversity affects the population-level control of those infections by both non-curative treatment and chemo-prophylactic measures. Our frameworks allows both neutral and phenotypic evolution, and we consider the specific evolution of contagiousness, resistance to therapy, and efficacy of prophylaxis. We compute both the controlled and uncontrolled, population-level basic reproduction number accounting for the within-host evolutionary process where new phenotypes emerge and are lost in infected persons, which we also extend to include both treatment and prophylactic control efforts. We used these results to discuss the conditions under which the relative efficacy of prophylactic versus therapeutic methods of control are superior. Finally, we give expressions for the endemic equilibrium of these models for certain constrained versions of the within-host evolutionary model providing a potential method for estimating within-host evolutionary parameters from population-level genetic sequence data.

AB - Chronic viral infections can persist for decades spanning thousands of viral generations, leading to a highly diverse population of viruses with its own complex evolutionary history. We propose an expandable mathematical framework for understanding how the emergence of genetic and phenotypic diversity affects the population-level control of those infections by both non-curative treatment and chemo-prophylactic measures. Our frameworks allows both neutral and phenotypic evolution, and we consider the specific evolution of contagiousness, resistance to therapy, and efficacy of prophylaxis. We compute both the controlled and uncontrolled, population-level basic reproduction number accounting for the within-host evolutionary process where new phenotypes emerge and are lost in infected persons, which we also extend to include both treatment and prophylactic control efforts. We used these results to discuss the conditions under which the relative efficacy of prophylactic versus therapeutic methods of control are superior. Finally, we give expressions for the endemic equilibrium of these models for certain constrained versions of the within-host evolutionary model providing a potential method for estimating within-host evolutionary parameters from population-level genetic sequence data.

KW - Basic reproduction number

KW - Mathematical modeling

KW - Multi-strain infectious diseases

KW - Sensitivity analysis

KW - MODELS

KW - sensitivity analysis

KW - mathematical modeling

KW - DYNAMICS

KW - multi-strain infectious diseases

KW - basic reproduction number

UR - http://www.scopus.com/inward/record.url?scp=85091537982&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/dcbc74da-e74d-3499-b14d-1adf26c59aeb/

U2 - 10.3390/math8091500

DO - 10.3390/math8091500

M3 - Article

AN - SCOPUS:85091537982

VL - 8

JO - Mathematics

JF - Mathematics

SN - 2227-7390

IS - 9

M1 - 1500

ER -

ID: 62878476