The Fibonacci sequence in the application of repetetive therapeutic activities

How many repetitions of contractile movements are necessary to achieve objectives of increased tone, strength or agility in the musculature of the human body?
The issue of repetitions is an issue that has been controversial for decades in general skeletal muscle training. There are many opinions, scientific or not, fed from the world of sports, bodybuilding, fitness or physical therapy, each specialist with a different perspective, given that the objectives are different in each area and  there are a variety of objectives and degrees of training to achieve within each area. However, it is well known that the repetition of movements with or without effort induces changes in the muscle, improving the tone and strength, according to the degree of resistance that is opposed to the movement and the possibility of the muscle to overcome resistance.
The objectives to achieve may concern to do with the increase of strength, tone or agility. In the latter case, there is a close dependence on tone, the better tone, the greater agility.

The amount of repetitions
Regimens of low quantity (3 to 5) or intermediate quantity (9 to 11) of repetitions have been shown to be the most useful to promote changes of muscle fibers of type IIB (of low resistance to fatigue) to type IIA (of high resistance to fatigue), for periods of several weeks, at least twice a week, for periods of daily training not very long (Campos et al 2002). High-dose regimens (20 to 28) of repetitions do not result in better muscle hypertrophy than those of medium or low amounts. This refers, of course, to the objective of hypertrophy of large skeletal muscles.
In the muscles of the face or the oral cavity, which are those that need to be worked on in the speech or speech and orofacial motor therapy field, the reality could be different. When it comes to intervening on dysarthria, dysphagia, or even in adjacent issues such as functional articulatory disorder or facial hypotonia syndrome by chronic oral respiration, the goal is not, except in certain cases, hypertorphying or at least increasing the trophism.
Facial muscles with cutaneous insertion do not hypertrophy. They are muscles of agility and not of strength. They are related to mimic and therefore to the communication of emotional states, for which reason they do not need to fight against gravity or to lift weights against it. Repetition has as its fundamental objective to increase the tone, although in some of the muscles, such as the orbicularis oris, the achievement to follow is to increase the strength as well (Clark 2003, Hodge 2002).
The muscles of the tongue, on the other hand, are an intricate set of varied characteristics. The types of fiber are different in the anterior part and in the posterior part, therefore the response to the exercise of each one of those parts is different.

The sequence of repetitions
In gyms the establishment of the number of repetitions is often capricious, that is, varies from one to another, depending on what the coach has read or received as their own information.
In the therapeutic field, the situation is not very different. Several texts propose very different sequences or amounts of repetitions. No one argues or justifies why repeat an exercise 3, 5, 10 or 20 times. It is assumed that more repetitions, better results.
The oral motor therapy texts do not specify how much time off should be done between one set of repetitions and another.

The Fibonacci sequence
The Fibonacci sequence is the following infinite sequence of natural numbers:
{0,1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,987,1597}
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The sequence begins with the numbers 0 and 1, and from these, "each term of the sequence is the result of to add the previous two"
This numerical sequence is the mathematical basis for constructing a spiral. In addition, it forms the basis for proportions between parts that are considered to fit perfectly or aesthetically pleasing. It is also biologically feasible and as such appears in many living entities under harmonious forms.
In dentistry the proportions determined by the application of this mathematical sequence (called auréas proportions) are usually used in the assessment of the distribution of the different segments of the face.
In the field of fitness Mullen 2005 has proposed the use of succession in the design of personal training plans. The idea that serves as a starting point is that if the succession serves to design a spiral, and the spiral is geometrically a curved line that is increasing around a central point, the repetition that respects that same construction would be using the biochemical elements of the muscle in a proportionate way, which increases both in stimulus and in results. Mullen reports (although not in a rigorously statistical way) excellent achievements with the application of succession to repetitions, both to achieve goals of tone and strength.

Application to Oral Sensory-Motor Therapy
We propose, following the example of Mullen, to apply the Fibonacci sequence to oral sensorimotor therapy, both in the phase of sensory stimulation for the extinction of primary reflexes, as well as for stretching, toning and strengthening face exercises, chewers, lips, tongue and veil of the palate.
In this proposal, obviously the application would be as follows:
Only the following terms would be used:

0,1,1,2,3,5 ...

that in total add up to 12.

In the case of sensory stimulation, 0 is considered the initial state; the first pass of the tool in the way described for each of them, is 1; a brief pause of ten seconds is made; the second pass is made, which is the second number 1 of the sequence; a brief pause of ten seconds is made; the third pass of the tool is performed, which entails 2 repetitions of the stimulation, without pause between these repetitions; a brief pause of ten seconds is made; the fourth pass of the tool is 3 repetitions; ten second pause; the fifth pass of the tool is 5 repetitions.
Therefore, for each stimulation exercise, in summary, the following sequence will be carried out:

0, 1, pause, 1, pause, 2, pause, 3, pause, 5, end.

A total of 12 repetitions have been made, but organized in a way based on the mathematical succession described.
For stretching, tone and strength exercises, you can proceed in a similar way.
It is desirable to organize a protocol that organizes these ideas and develops them in the context of stimuli and specific activities, also attending to the types of reflexes and muscle fibers that you want to stimulate with each different type of activity.

References
Campos, G.E., Luecke, T.J., Wendeln, H.K. et al. Eur J Appl Physiol (2002) 88: 50.
 doi:10.1007/s00421-002-0681-6
Clark, H. M. (2003). Neuromuscular Treatments for Speech and SwallowingA Tutorial. Am J Speech  Lang Pathol, 12(4), 400-415. doi: 10.1044/1058-0360(2003/086).
Hodge, M. M. (2002). Nonspeech Oral Motor Treatment Approaches for Dysarthria: Perspectives on  a Controversial Clinical Practice. Perspect Neurophysiol Neurogenic Speech Lang Disord, 12(4), 22- 28. doi: 10.1044/nnsld12.4.22.
Mullen, Joseph. 2006. The Da Vinci Fitness Code. 1st ed. [Place of publication not identified]:   Fitness Therapy Pub.

If yo want to cite this article or part of it, you can do it as:
(Chicago style)
Hernández Villoria, Ramón. 2016. "Ramon Hernandez Villoria´s blog". Blog. "The Fibonacci sequence in the application of therapeutic activities".https://rhernandezv971-english.blogspot.com/2018/10/the-fibonacci-sequence-in-application.html#more 

Original: Spanish article:

Hernández Villoria, Ramón. 2014 "Ramon Hernandez Villoria´s blog". Blog. La sucesión de Fibonacci en la aplicación de actividades terapéuticas. Disponible: https://rhernandezv971.blogspot.com/2014/10/la-sucesion-de-fibonacci-en-la.html

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