TICLS

AcronymDefinition
TICLSThe International Center for Leading Studies (Greece)
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Following the receptor-ligand kinetics theory in [20], when a tumour cell and an immune cell come into contact, it may lead to the formation of a tumour-immune complex at a binding rate [k.sub.1] which later can either lead to tumour cell death with probability p at a rate [k.sub.2]p or lead to inactivation of TICLs at a rate [k.sub.2](1 - p).In case of the latter, the tumour-immune complex is dissociated at a rate [k.sub.-1].
where [D.sub.i], i = 1, 2, ...,5, are diffusion coefficients of primed TICLs, tumour, [IL.sub.2], [alpha], and resting cell densities, respectively, and [omega] is the rate of stimulation of resting cells into activated TICLs as a result of injecting a patient with [IL.sub.2].
We consider a one-dimensional spatial domain on the interval [0, [x.sub.0]] and assume that there are two regions in this interval, one fully occupied by tumour cells and the other fully occupied by TICLs (both activated and resting).
We assumed that R and [IL.sub.2] diffuse at the same rate as TICLs (i.e., [D.sub.1] = [D.sub.4] = [D.sub.5] = [10.sup.-6]) and used the diffusivity value [10.sup.-6] for immune cells by Matzavinos et al.