A hunter virus that targets both infected cells and HIV free virions: Implications for therapy

Table 1 Parameter values and initial variable values

	Parameter	Description	Value
			Default HIV turnover	High HIV turnover
Healthy cell parameters	p _h	Production rate of healthy cell ¹ (cd⁻¹)	2	2
Healthy cell parameters	d _h	Death rate of healthy cell ² (d⁻¹)	0.01	0.01
HIV related parameters	i _v	Infection rate of HIV ³ (v^-1d^-1)	0.004	0.004
	p _v:v	HIV production rate in an HIV-infected cell ⁴ (vc^-1d^-1)	50	50×10
	p _v:vw	HIV production rate in a double-infected cell ^† (vc^-1d^-1)	5	5×10
	r _v	Removal rate of HIV virions ⁵ (d⁻¹)	3	3×10
	d _v	Death rate of HIV-infected cell ⁶ (d⁻¹)	0.33	0.33
	n	Constant influx of HIV ⁷ (vd⁻¹)	0.84	0.84×10
Hunter related parameters	i _w	Infection rate of hunter ⁸ (v^-1d^-1)	0.02	0.02
	p _w	Production rate of hunter ⁹ (vc^-1d^-1)	1800	1800
	r _w	Removal rate of hunter virions ⁸ (d⁻¹)	2	2
	d _vw	Death rate of a double-infected cell ⁸ (d⁻¹)	2	2
Fused particle related parameters	p _s	Formation rate of fused viruses ^† (v^-1d^-1)	0.02	0.02
Fused particle related parameters	i _s:v	Infection rate of healthy cells by s^† (v^-1d^-1)	0.5×i_v	0.5×i_v
	i _s:w	Infection rate of HIV-infected cells by s^† (v^-1d^-1)	0.5×i_w	0.5×i_w
	r _s	Removal rate of fused viruses ^† (d⁻¹)	3	3×10
	d _s	Death rate of a cell first infected with s^† (d⁻¹)	d _vw	d _vw
	Variable		Initial values
Interacting populations	x _h	Healthy CD4⁺ cells (c)	10
	x _v	HIV infected cells (c)	1
	x _vw	Double infected cells (c)	0
	x _s	Cells infected by s (c)	0
	v	HIV virions (v)	0.001
	w	Hunter virions (v)	0.001
	s	Fused virions (v)	0

Units: d, day; number of cells or virions per μL (c, v, respectively). References: ¹[8, 17]; ²[18, 19]; ³[20–22]; ⁴[1, 23–25]; ⁵[23, 26–28]; ⁶[18, 26, 29]; ⁷[30]; ⁸[10]; ⁹[11]; ^†Inferred (see Model section).

ISSN: 1742-4682