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Table 2 Definition of all variables. The first five variables (Reti,t, RBCi,t, iRBCi,t, rRBC and, M) are the key dependent variables of the model for which time recursions are defined

From: Analysis of erythrocyte dynamics in Rhesus macaque monkeys during infection with Plasmodium cynomolgi

Variable

Description

Ret i,t

Number of circulating reticulocytes of age i at time t

RBC i,t

Number of mature red blood cells of age i at time t

iRBC i,t

Number of infected red blood cells of age i at time t

rRBC t

Number of RBCs that will die due to random death

M t

Number of free merozoites at time t

P t

Hourly production and release of reticulocytes from bone marrow into the blood-stream at time t

ARR t

Age-class into which reticulocytes are released

iARR t

Integer part of ARRt

dARR t

Decimal part of ARRt

SfRet i,t

Fraction of reticulocytes in age class i at time point t that survive to time point t + 1

SfRBC i,t

Fraction of RBCs in age class i at time-point t that survive to time point t + 1

SfiRBC i,t

Fraction of infected RBCs in age class i at time point t that survive to time point t + 1

ToI

Time point at which an infection starts

NoI

Number of infected RBCs that start an infection at time point ToI

RDt

Number of RBCs removed at time point t due to random death

hf i

Hazard function for RBCs

RBCInv i,t

Fraction of RBCs in age class i at time point t lost to merozoite invasion

RetInv i,t

Fraction of reticulocytes in age class i at time point t lost to merozoite invasion

UR t

Number of RBCs removed by bystander effect

TRBC t

Total number of RBCs at time t

TRet t

Total number of reticulocytes at time t

Ret Pref

Reticulocyte preference over mature RBCs

RBCAPf i

Merozoite-RBC age preference function

PiRet

Percentage that a merozoite will infect a reticulocyte

NiRet

Number of reticulocytes to be infected

PiRBC i

Probability that a merozoite will infect an RBC of age i

MerLeft

Number of merozoites left after accounting for invasion of reticulocytes

NiRBC f

Number of RBCs of age class f to be invaded by a merozoite