All physical structures with a high degree of coherence or rigidity have a natural frequency at which they vibrate when struck by an external force. Non-rigid systems that are closed in terms of finite inputs and outputs, but with at least one feedback loop, also have a natural frequency at which they resonate or oscillate when the input values change. Changes in input variables will have an impact on the other values in the system after a set, repeatable and predictable time delay based upon the value of input variables and the position and sensitivity of the feedback loop.When a structure or a system of this sort experiences an influx of energy from an outside source, the result of the input will depend upon the magnitude and frequency of the input. To the extent that the input is a unique, solitary event, or a recurring event at a frequency not in keeping with the natural frequency of the system, the vibration or oscillation of the system will decay according to the friction of the environment. To the extent that the input is repeating and the frequency of repetitions corresponds to the natural frequency of the system either directly or in some harmonic multiple, then the system or structure will continue to vibrate or oscillate. If the amount of energy being absorbed is greater than the friction of the environment, then the vibration will increase in amplitude, limited only by the friction of the environment.
The human metabolism is such a closed system with a limited number of inputs, outputs, and at least three feedback loops. The main input is the caloric content of food eaten, and the main outputs are the amount of energy expended in activity and metabolism. The primary feedback loop at least in terms of response time is appetite. The natural frequency of the appetite response is a matter of perhaps 20 minutes. Food eaten produces a higher blood sugar level, and appetite decreases commensurately. As the sugar in the blood is used, the level drops, appetite is stimulated, and the process repeats. A secondary feedback loop is that of metabolic rate. When the blood sugar level drops, the body slows its metabolic rate to consume blood sugar at a slower rate. When food is eaten and the blood sugar level rises, then the metabolic rate will go back to normal. The response time of this loop is a matter of hours. A third feedback loop is the process of establishing a body weight set point. As the body takes stock of the availability of food and the amount of work required on a regular basis, the body will tend to a weight that allows a margin of safety without requiring too much food. The margin established is variable, as we will see. The body actually learns about the availability of food by the regularity of meals and their caloric content. When the timing of meals or their caloric content vary, the body concludes that food availability is a problem, and will tend to a wider safety margin, that is, a higher set point. Conversely, when meals are regular and of high quality, it will tend to a lower set point. The same principle applies to energy requirements. If there is little work to do on a consistent basis, a lower set point will be tolerated. If large bursts of energy are required on an inconsistent basis, the set point will rise. In the case of both food and energy calculations, the body will respond to inconsistency with a higher set point, and to consistency with a lower one. The natural frequency of the set point response is muchslower than those of appetite and metabolism. This set point also appears to change faster when the set point is being raised, and slower when it is being lowered. The natural frequency of this loop is a matter of days going up and weeks coming down. This is, of course, a concession to physical safety.
Of particular interest in the matter of the vibration of structures or the oscillation of closed systems is the system’s sensitivity to input values. Sometimes the vibration or oscillation itself actually affects the response of the entire system. This can occur in either direction. Increasing vibration can make the structure or system more or less sensitive to input values. If oscillation decreases sensitivity, the system will tend to a stable vibration. If oscillation increases sensitivity, it will produce an unstable system with swings of greater and greater amplitude. The human metabolism is a system with increased sensitivity when it is in oscillation. The body’s natural response to caloric privation is to slow the metabolism. Subsequent doses of blood sugar will be used more judiciously by the body, as metabolism has been slowed. The body will perceive the next caloric intake as being larger than it really is, and respond accordingly. Blood sugar will rise for a longer period and be used slower. All this will be interpreted as increased variability, and the body will respond with a higher body weight set point.
Controlling human weight needs to take these factors into account. To achieve a low margin or safety or body weight set point, behavior should be changed at a rate inconsistent with the natural frequency of the feedback loops discussed here. Thus, to avoid oscillations in blood sugar and appetite, food should be eaten slowly. A meal should last longer than the response time of the sugar loop, or more than 20 minutes. People who defuse this loop by eating in less than 20 minutes will tend to overeat; their satiety response doesn’t have a chance to kick in, and when it finally does, the person will experience wide swings in appetite. Further, in order to avoid problems with the secondary feedback loop of metabolic rate change, meals should be eaten at the same time of day each day and should not vary in terms of their caloric content. Thus, the body will be soothed into thinking that all is safe and predictable, and a lower margin of safety will be tolerated. Finally, any changes in the overall levels of caloric intake or exercise should be consistent over a matter of weeks or months for the body to arrive at a new set point it considers safe. Any restricting or bingeing at a faster natural frequency will tend to set the body weight loop into oscillation, and a much higher set point will be the result. This is the beginning of an eating disorder.
Eating disorders occur when there is an interaction between the physical responses of the body to food, i.e. these three feedback loops, and the cognitive and emotional perceptions of the individual. When these perceptions lead to behavior that corresponds to the natural frequency of any of these three feedback systems, then a disorder may be said to exist. The system can go one of three directions. If the person succumbs to appetite demands, they will gain weight uncontrollably, as caloric intake will outstrip energy needs. Here is your binge eater. If they cope with the increased caloric content by increasing exercise or by purging the contents of their stomach before digestion, then a stable weight can be maintained. Here you have your bulimia nervosa patient. If they are unwilling to deal with the unwanted weight gain, they can diffuse the loop by restricting caloric intake unilaterally. This is the beginning of anorexia nervosa. This latter response is somewhat more involved, as it requires a high tolerance to appetite stimulus and hence great self control. Familial and developmental factors seems to enhance this response.
There’s a great deal of speculation about why there are so many more women with eating disorders than men. Perhaps it’s because digital, black/white, all or nothing thinking is more common among women. That kind of “throw in the towel” mentality in the face of hunger pressures and dietary failure feeds into this harmonic vibration of the body’s search for metabolic homeostasis. Cultural pressures for favorable body image and beauty are felt more strongly by women than men in our society. Further, estrogen has an affinity for sugar and resultant weight gain. Women of reproductive age show increased sensitivity to these feedback pressures as pregnancy is interpreted as a danger factor by the female body.
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