Class

Param

Description

Range / Value

Unit

Ref

Chemokine

λ   

Chemokine diffusion coefficient

0.64

/ .1 min

1

γ  

Chemokine degradation coefficient

0.001

/ .1 min

1

C_R

Minimum amount of chemokine necessary to influence cell movement

1

scalar

1

Leishmania

α_I

Intracellular parasite growth rate

(2.40705^-5, 9.6317^-5)

/ .1 min

2, e

Macrophages

M_ls

Resting, non-inflammatory macrophage lifespan

100

days

1

M_als

Activated macrophage lifespan

(1/3, 4)

days

e

M_ils

Inflammatory macrophage lifespan ~ U(2,M_ils) days

(3, 11)

days

2,e

K_I

Transfer threshold of infected macrophages

(8,35)

scalar

e

M_rsp

Resting macrophage speed

(0.5, 1.5)

μm / min

1

M_asp

Activated macrophage speed

(0.0125, 0.5)

μm / min

1

M_isp

Infected macrophage speed

0.0007

μm / min

1

M_init

Initial number of macrophages

105

scalar

1,e

init_Ag

Initial # of parasite

50

scalar

e

P_m

Maximum number of parasite per initially infected macrophage

4

scalar

e

T Cells

T_delay

Minimum number of parasites required for T cell response to begin

800, 3000

scalar

e

T_move

Prob. of T cell movement

(5, 90)

%

e

T_actm

Prob. A T cell will activate a macrophage

(5, 90)

%

e

T_ls

T cell lifespan

3

Days

1

T_sp

T cell speed

2

μm / min

1

Recruitment

M_recr

Prob. of macrophage recruitment

(0.22, 0.52)

% / ts

2,e

T_recr

Prob. of T cell recruitment

(0.0250, 0.2100)

% / ts

2,e

C_M

Minimum amount of chemokine needed at source for macrophage recruitment

1

scalar

1

C_T

Minimum amount of chemokine needed at source for T cell recruitment

1

scalar

1

Miscellaneous

Update

All interactions occur every Update minutes

10

minutes

e