It has been widely suggested that these patterns of facilitation and inhibition may be due to underlying excitatory and inhibitory connections between neurons in multiple visual and saccade processing areas in the brain (Cavanaugh, Joiner, & Wurtz,
2012; Fecteau & Munoz,
2006; Fino & Yuste,
2011; Hikosaka & Wurtz,
1985; Kätzel, Zemelman, Buetfering, Wölfel, & Miesenböck,
2011; Leigh & Zee,
2006; Mize, Jeon, Hamada, & Spencer,
1991; Moschovakis, Scudder, & Highstein,
1996; Munoz & Fecteau,
2002; Munoz & Istvan,
1998; Munoz & Wurtz,
1993; Olivier, Dorris, & Munoz,
1999). Others have proposed that the pattern is due to an interaction between fixation and saccade related neurons (Casteau & Vitu,
2012; Findlay & Walker,
1999; Walker et al.,
1997), where the increased latency of the saccade from remote distractors is due to increased fixational activity, particularly when the remote distractor is presented closer to fixation than the target. Within the saccadic literature, the superior colliculus (SC) is of particular interest because of its well understood neuronal architecture and its involvement in saccade production (Goldberg & Colby,
1992; Munoz, Dorris, Paré, & Everling,
2000; Robinson & McClurkin,
1989; Sparks & Hartwich-Young,
1989; Wurtz & Optican,
1994) as well as distractor-related effects (Dorris et al.,
2007; Dorris, Klein, Everling, & Munoz,
2002; Fecteau & Munoz,
2005; McPeek,
2008; Sapir, Soroker, Berger, & Henik,
1999). Indeed, a number of studies have attempted to describe how distractors influence SRTs overall using dynamic field models (Arai & Keller,
2005; Kopecz,
1995; Kopecz & Schöner,
1995; Marino, Trappenberg, Dorris, & Munoz,
2012; Satel, Wang, Trappenberg, & Klein,
2011; Trappenberg, Dorris, Munoz, & Klein,
2001; Wilimzig, Schneider, & Schöner,
2006), although other models such as fixation gating models also exist (Casteau & Vitu,
2012; Findlay & Walker,
1999). The dynamic field models endeavor to describe many effects of the distractor on the target based on spatial properties such as the excitatory and inhibitory connections between neurons representing visual space (Arai, Keller, & Edelman,
1994; Dorris et al.,
2007; Godijn & Theeuwes,
2002b; Kopecz & Schöner,
1995; Marino et al.,
2012; Munoz & Fecteau,
2002; Olivier et al.,
1999; Satel et al.,
2011; Trappenberg et al.,
2001), as well as temporal properties of neuronal activity (Bell, Fecteau, & Munoz,
2004; Wilimzig et al.,
2006), and short term depression or habituation (Bell, Corneil, Munoz, & Meredith,
2003; Dukewich,
2009; Fecteau & Munoz,
2005; Fischer, Gezeck, & Huber,
1995; Satel et al.,
2011). Here we focus specifically on dynamic field models as they are largely based on physiological evidence of functional lateral interconnections in the SC (Meredith & Ramoa,
1998; Munoz & Fecteau,
2002; Munoz & Istvan,
1998; Olivier et al.,
1999) likely mediated both by intracollicular excitation and inhibition (e.g., Isa & Hall,
2009; Phongphanphanee et al.,
2014) and extracollicular excitatory and inhibitory inputs. Almost all current dynamic field models are limited in that they describe the distractor-related effects on reaction time in one dimension (i.e., with respect to the distance between the distractor and the saccade target), which does not take into account the two-dimensional spatial representation and connectivity within brain areas such as the SC (Robinson & McClurkin,
1989). Excitatory and inhibitory connections vary in 2D space (Dorris et al.,
2007; Munoz & Fecteau,
2002; Olivier et al.,
1999) and, thus, may not be adequately described in one dimension (e.g., as a function of distance). The only 2D model describing SRTs that exists to our knowledge focused on bottom-up versus top-down signal competition (Marino et al.,
2012). We aimed to build a two-dimensional, time dependent model to determine whether previously proposed neural dynamics within the SC can adequately explain the behavioral pattern of reaction times over time and 2D space in response to the distractor and in addition, to gain insight into the underlying neuronal mechanisms that can explain the pattern of behavioral SRTs.