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		Introduction
			Overview Five Central ConceptsThe Step Model and Footfall PlotsUnderstanding the System
			Clinical Descriptions of Walking
				Gait Cycle (= Stride)Six Determinants of Normal and Pathological GaitDispelling 
		the Step Length MythDefinitionsShorthand 
		Notation   (A) Introduction A1. Overview This method is derived using the 4 minimum points of gait 
	(step-heel-point, step-pelvic joint, rear-pelvic joint, start-heel-point) 
	and the foot-line.
 Lines and angles created by connecting these 
	points and line, defined at specific time points (snapshots) and projected 
	onto a 2D plane (usually the plane of the floor, but can be any), describe 8 
	fundamental parameters relevant to distance and direction for a person 
	walking. 3 define direction changes (foot offset, foot and push-off angles), 
	4 for distances (step-out, straddle and rear-leg lines, and pelvic-stretch) 
	and 1 both a distance and direction change (aberration).
 
 Walking is 
	the manipulation of these parameters.
 
 These measurements are based on 
	the different parts of the body, and the specific actions, responsible for 
	distance and direction changes during a step. Any change of distance or 
	direction when walking must show as a change in at least one of the 
	fundamental parameters, so any movement that does not cause a change in at 
	least one will have no effect on distance or direction, in the relevant 
	plane.
 
 This provides the basis for a primary classification system to 
	compare point, line, mass, etc. movements wrt their relationship to specific 
	distance and/or direction elements. Also, vertical movements are removed, 
	but they can be re-correlated separately, as can many other "outside" 
	factors, including time.
 The true nature of many currently used measurements is also uncovered: 1) Stride length and walking base (straddle) are both 
	products of the same 9 distance and 5 direction elements, as well as 3 extra 
	distance and direction elements, if the measurement was taken at the point 
	of contact of the heel, instead of the heel-point. 
 2) Current step 
	length (if left to right heel) is a product of 4 distance elements and one 
	direction element, and it does not accurately define the total distance 
	traveled by the foot over the step. If step length is defined as stride 
	length/2, then this is a measure of the stride, not the step.
 
 3) 
	Etc., etc.,...
 It's not surprising changes in step and stride lengths, etc. may be 
	difficult to correlate with changes of state for a subject. Each 
	contributing parameter is affected by different physical factors, and most 
	are independent of each other. That's at least 14 different body segment 
	lengths and joint rotations for stride and walking base.
 This method 
	allows the measurement of all the fundamental parameters for every step. All 
	of the 14 values can be separately evaluated.
 
 And, any path can be 
	re-created exactly using the individual Step Models. Then, comparison of 
	point and line movements with "standard" positions may show unique 
	information, or provide some other analytical aid.
 
 All possible 2D 
	step patterns can be represented using the 8 parameters and described via a 
	very informative line description, for eg. L15{2}[15]str8: (2)L-2L -<4>R 
	(see Shorthand Notation) and/or a graphic Step Model. Every step, over a 
	single path or from different paths at different times, can be easily 
	compared side by side, or up and down, on a piece of paper (see Fig 16).
 
 This is very, very useful for clinical applications. Patient progress 
	can be tracked via the 3 direction, 4 distance, and 1 distance and direction 
	defining elements. With relatively high accuracy and over any period of time 
	or conditions.
 
 It also helps narrow the possibilities during 
	diagnosis. For eg., nothing changes straddle length (line) but rotations 
	(real or apparent) at the rear-pelvic joint. But, rotation at that joint 
	also affects pelvic-stretch, a distance change, and induces a foot offset, a 
	direction change. Foot offset is mainly changed by real or apparent 
	rotations at the step- and/or rear-pelvic joints. Etc., etc. Correlation of 
	changes in the various parameters will help pin-point and track the problem 
	areas, and evaluate treatment options.
 
 Clinical application has 
	extraordinary potential, but virtually all other facets of gait analysis 
	should benefit as well. An entire level of critical detail is being added.
 
 There's also great flexibility and it's universal. It's just measuring 
	the distance and direction between projections of connected points, and is 
	valid for any arbitrary orientation of the 2D step-plane, at any point in 
	time, even if different minimum points are chosen.
 
 How can it be 
	universal? Because it takes all the points and lines of reference from the 
	body itself. The reference frame moves with the person. There's no need to 
	be touching anything , no application of arbitrary, external references like 
	"line of progression."
 
 This method removes the vertical component of 
	motion to provide a detailed, 2D picture of every step, which is easily 
	applied to a person walking on a treadmill, a rotating disk, around and/or 
	over objects, climbing stairs and inclines, in any physical condition 
	(including using a prosthesis), and on any surface; even floating in space, 
	crouching while walking or walking on the hands.
 
 It allows the direct 
	comparison of how a person walks, for eg., on a rotating disk to how they 
	subsequently walk on a stationary plane, and how distance and direction 
	parameters change as the conditioning wears off. It can even be used to 
	study the detailed effects of multiple conditioning, since all the distance 
	and direction elements can be separately measured, and their variations 
	independently evaluated.
 
 The minimum requirements are an overhead 
	view (or equivalent), and a way to identify the projection of the 4 points 
	and 1 line onto the desired 2D plane, at specific times. With current 
	technology, this should be almost trivial. One overhead camera, with visual 
	identification of the points, may be enough. 3D provides everything, 
	assuming the appropriate time co-ordinates can be extracted.
 
 Also, 
	measuring changes in the parameters vs time over the path may be revealing. 
	It doesn't matter if one (or even both) heel-point is in the air at the 
	snapshot, since the projection takes out the vertical part. After all, the 
	pelvic joints are always in the air. It just has to be interpreted properly.
 
 And, the Step Model can also be used to produce "perfect" footfall 
	plots. Any or all of the fundamental parameters can be varied to see 
	distance and direction relationships between footfalls which couldn't be 
	studied without some kind of controlled model. Every possible 2D step and 
	path characteristic, wrt footfall position, can be plotted by varying the 
	parameters in the Step Model. This has been a very fruitful endeavor.
 
 It shows, among other things, that a person can be walking a straight 
	line while turning with every step, and that measured equality of stride 
	length doesn't necessarily mean the person is walking straight, when 
	compared to another person who is also walking straight (see Fig 14).
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						© 2008
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