1. Introduction
Because SAB implicates future behavior which is statistically dependent on prior behavior and accompanied by memorially-dependant loss of degrees of freedom, SAB has been used to suggest the presence of a functional short-term memory. A left or right turn in a T- or Y-maze is a statistical function of the presence and direction of the previous turn, when such a prior turn exists.
While theories of memory are many and not the focus of this chapter, SAB is generally suggested to be recent memory dependent in animals complex enough to possess the structures postulated to underlie recent memory, and to be dependent on a more basic sensory/membrane/receptor depletion time-limited memorial mechanism in simple organisms and cell systems that have also demonstrated SAB. Recent memory decays, some suggest exponentially in time (Eukaszewska and Deawichowska, 1982; Lalonde, 2002). This “decay” or, alternative, “interference” assumptions are explicit in many theories of short-term memory (e.g., Thorndike, 1914; Oberauer and Lewandowsky, 2008), so that the SAB effect would be expected to also diminish in the mean with the extension of the long leg of the T.
In fact, when the length of the vertical leg is treated as an experimental variable, using distance as a proxy for time, SAB consistently decreases as vertical leg length increases (Hughes, 1989). Similarly, with two-trial SAB, increasing the intertrial interval, and so the time between successive choice opportunities, has been shown to reduce alternation frequencies (Dember and Richman, 1989). This inverse relationship follows from a memory-based view of SAB, has been used to suggest that the longer the distance between successive turns, the greater the probability that the organism will “forget” the direction of its previous turn and choice will return to a statistically equiprobable condition (Hughes, 1989). No particular mechanism of “memory” is implied in this context. That is, any mechanism that causes current actions to be influenced by previous actions could potentially lead to SAB in general and to the loss of SAB with increased distance/time between the forced and choice turns.
Recall that whereas the natural physiological environment for autonomous motion in human neutrophils contains the PMN’s endogenous tropic peptide attractant, the classical "spontaneous alteration", SAB design of these studies requires that the observed behavior, the cell's spontaneous motion, be unperturbed. The necessary absence of these chemoattractants, leads to a multitude of required trials for the acquisition of a single data point. It was for this reason that I recorded hundreds of PMNs, increasing the number of trials until n>50 left/right decisions at the T-intersections in each of the three types of mazes will have been observed.
2. Methods and procedures
Three similar T-mazes were developed; 1) a control T-maze, 2) a forced-turn T-maze, and 3) a long-leg forced turn T-maze. As SAB is the tendency of an organism to alternate successively turning left and then right in a maze, the control maze is the one in which the first turn is the only turn. Cells in control mazes are expected to turn to the right or left with roughly equal probability. However, in the second, forced turn maze, in which the cell must always make a right turn before reaching the experimental left versus right choice point of the T, the statistical expectation is that more cells will turn left at the T. In the third maze, the SAB effect can decay in the mean with the extension of the long leg of the T.
The mazes were constructed on standard glass slides, inside a 12mm diameter, 25 μm deep well. The specifications are indicated in the figures 2. Figure 3 is an electron micrograph of a set of the nano-structured mazes on a finished slide. Tolerances were ± 5%. Sidewall angles of mazes were 88-900. Surface variation (roughness) was in the neighborhood of 10nm.
After gentle sedimentation, PMNs (along with some other white cells and platelets) were removed from the buffy coat by micropipette and, along with associated plasma. The 5.7 µm gap of standard slides and coverslips is smaller than the average diameter of PMNs, leading to some mechanical compression of the cells and contributing to their activation, as well as allowing the cell to move along the slide substrate and cover slip simultaneously (Malawista and deBoisfleury Chevance, 1997). The slides used in this study do not suffer from these deficits. All samples were drawn from 5 healthy, adult volunteers (3F, 2M, ages 25-47). All slides were pre-filled with Lactated Ringer's solution, that is isotonic with blood. This was done to avoid cells being deposited into the maze ends, as well as to avoid trapped air in the mazes, and to dilute the PMN sample.
As implied by the word “spontaneous,” SAB studies require that the cell's motion be observed without manipulating exogenous agents. Lactated Ringer's solution provided a uniform, “undoped” medium base. Without the activating influence of chemoattractants or physical activators (e.g. heat, pressure, sheer), many trials were required for the acquisition of each data point. In total, 102 PMN navigated the control maze past the decision point, 57 navigated the forced-turn maze, and 82 PMN completed the long-legged forced-turn T-maze.
PMN autonomous motions were observed through an Olympus BX41 microscope with a mixed CytoViva dark field and fluorescent optical illumination system. This incorporates a high-aperture, cardioid annular condenser (www.scitech.com.au) unique to this system and which makes possible visualization of objects below 90nm in diameter in real time, including cellular samples in an unfixed, living, active state (Samoylov, et al., 2005; Vainrub, et al. 2006). Because PMNs were treated gently, avoiding perturbations of column separation and elution, it became possible to reliably study a PMN continuously for extended times without the onset of granular clumping, membrane blebbing and other signs of impending apoptosis (Lodish, 2005). Whenever a PMN moved to the left or right beyond the choice point of a maze, its choice was recorded.
3. Results
Left-Right choices in the control maze were not significantly different from equiprobability (Left=49.02%; Right=50.98%; χ2(1)=0.039, ρ=0.843). However, in the forced-turn T-maze, 63.16% of the cells that had been forced to turn Right previously, turned Left at the decision point (χ2(1)=3.947, ρ=0.0469). Contrary to initial expectation of the disappearance of the SAB effect with the increased length of the vertical leg of the maze, this effect persisted and even appeared to be strengthened in the long-legged forced-turn maze, in which 67.07% (χ2(1)= 9.561, ρ=0.0021) of completing cells turned Left at the decision point, long after a forced Right turn.
4. Conclusions
This is the first demonstration that SAB is present in PMN, a constituent cell of the human body. While SAB has been shown in human spermatozoa (Brugger, et. al., 2002), sperm cells are required to function in the world exterior to the body, while PMN are not.
The apparent strengthening of SAB in the long-legged forced-turn T-maze compared to the standard forced-turn maze, may be partially attributable to the higher n in the former and natural variation in data, but observation of hundreds of PMN in the maze environments suggests it might also result from a sort of practice effect of “frustrated” turn attempts in the channel, in a dose-response like paradigm. Length of time/distance spent in foiled attempts to turn may then serve as an order parameter. The persistence of SAB in this condition may also suggest multiple time scale, memory-like mechanisms operating in PMN.
There are, in fact, established physiological mechanisms and behavior that are consistent with this speculation and with my qualitative microscopic. PMNs are known to oscillate on multiple temporal and spatial scales, from 7sec, 70sec, and 260sec membrane potential fluctuations (Jäger, et al., 1988) and 25sec calcium flux oscillations, to the ~8sec G-F-actin oscillations (Marks and Maxfield, 1990), to 21.6sec and 230sec glycolytic cycles that produce NAD(P)H oscillations (Jäger, et al., 1988), and 10sec and 20sec pericellular proteolysis fluctuations (Marks and Maxfield, 1990), among many others. The time series in my recent study of PMN morphodynamics demonstrated scaling, board band power spectra with multiple resonances, suggesting a constellation of motility times (Selz, 2011). While there is debate over the specific fitness value(s) and mechanism(s) underlying SAB, it is clearly a phylogentically highly conserved behavior (Richman, et al.1986), and so, is assumed to be valuable. It follows that multiple mechanistically diverse time scales of function could be recruited to its service. This suggests the possibility of decentralized control in a highly interconnected, living dynamical system through local feedback. The necessary and sufficient conditions for a stable macro-system composed of multiple smaller systems operating on a variety of temporal and spatial scales are known in non-biological contexts (Ramakrishna and Viswanadham, 1982). Work is currently underway, adapting these constraints to a PMN model.
Because, with the prior forced turn, systems statistically deviate from equiprobability in a later choice circumstance, SAB represents a reduction in population behavioral entropy, and a situation in which a reduction in the behavior degrees of freedom and reduced statistical behavioral entropy is favored evolutionarily. This finding is contrary to some findings of increased entropic states being associated with greater biological health and/or function (e.g. Mandell, 1987; Paulus et al., 1980).
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