Physiology & Behavior, Vol. 19, pp. 7 5 - 7 8 . Pergamon Press and Brain Research Publ., 1977. Printed in the U.S.A. Set Points, Settling Points, and the Control of Body W e i g h t 1 D A V I D W I R T S H A F T E R 2 A N D J O H N D. D A V I S Department o f Psychology, University o f Illinois, Chicago, Chicago, IL 60680 (Received 9 March 1977) WIRTSHAFTER, D. AND J D. DAVIS. Set pomts, settling pomts, and the control of body weight. PHYSIOL. BEHAV. 19(1) 7 5 - 7 8 , 1977. - - Recently a number of investigators have suggested that body weight may be controlled by a neural system which contains a reference or set point. The finding that the body weight level which animals wall defend can be altered by lesions of the lateral and ventromedlal hypothalamus has been taken to provide support for this claim. In this paper we describe a simple feedback control model which contains no set point, and yet is able to account m full for these and other data which have been cited m support of the existence of a body weight set point Since such a model exists It appears to be unnecessary and unparsimomous to introduce the concept of a neural set point to explain the fact that body weight maintains a relatively constant value which is defended against certain types of challenges. Constancy and defense of body weight are at best only prima facte evidence for the existence of a neural set point controlling body weight Set point Body weight control theory VMH LH Llpostat hypothesis Feeding Homeostasis such a c o n t r o l s y s t e m IS to m a i n t a i n a relatively c o n s t a n t value of t h e c o n t r o l l e d q u a n t i t y in t h e face o f d i s t u r b a n c e s i m p o s e d b y t h e e n v i r o n m e n t . It is n a t u r a l , t h e r e f o r e , w h e n investigating h o m e o s t a t i c s y s t e m s w h i c h adjust t o disturb a n c e s b y m a k i n g a p p r o p r i a t e correctxons, t o assume t h a t t h e a d j u s t m e n t s are m a d e in r e s p o n s e t o an e r r o r signal i n d i c a t i n g d e v i a t i o n f r o m t h e desired state. In spite o f t h e p o p u l a r i t y o f this n o t i o n t h e r e is a real q u e s t i o n c o n c e r n i n g its value in f u r t h e r i n g o u r u n d e r s t a n d i n g of t h e c o n t r o l o f b o d y weight. P o s t u l a t i n g t h e e x i s t e n c e of a n e u r a l set p o i n t in o r d e r to a c c o u n t for t h e c o n s t a n c y of b o d y weight does n o t explain m u c h ; it m e r e l y assigns t o t h e c e n t r a l n e r v o u s s y s t e m ( C N S ) j u s t that p r o p e r t y n e e d e d to a c c o u n t for b o d y weight c o n s t a n c y F u r t h e r m o r e , t h e i n t r o d u c t i o n of s u c h a c o n c e p t t o explain one set o f facts creates difficulty i n e x p l a i n i n g others. F o r e x a m p l e , it is well k n o w n t h a t r o d e n t s gain an e n o r m o u s a m o u n t of weight b e f o r e h i b e r n a t i o n [ 1 1 ] , t h a t m a n y species of bards increase t h e i r fat stores t r e m e n d o u s l y prior t o m i g r a t i o n [ 2 1 ] , a n d t h a t females of m a n y species increase b o d y weight d u r i n g p r e g n a n c y [32] It is also well k n o w n t h a t rats can be m a d e obese s i m p l y b y o f f e r i n g t h e m a very p a l a t a b l e h i g h fat diet [ 1 6 ] . T o e x p l a i n these p h e n o m e n a w i t h i n t h e c o n t e x t o f a set p o i n t m o d e l , o n e w o u l d have to a s s u m e e i t h e r t h a t t h e set p o i n t is labile or t h a t it b e c o m e s i n o p e r a t i v e u n d e r c e r t a i n c o n d i t i o n s s u c h as t h e availability o f a h i g h fat diet Of course, e i t h e r or b o t h o f these a s s u m p t i o n s m a y be c o r r e c t , b u t s k e p t i c i s m begins IN R E C E N T Y E A R S t h e a p p h c a t l o n of c o n t r o l t h e o r y to t h e p r o b l e m s o f p h y s i o l o g y [27] a n d b e h a v i o r [1, 6, 15, 18, 24, 30] h a s b e c o m e widespread. T h e increasing i n t e r e s t in t h e use o f f e e d b a c k m o d e l s t o f u r t h e r o u r u n d e r s t a n d i n g of t h e c o n t r o l o f b e h a v i o r seems to be justified in part because t h e c o n s e q u e n c e s of w h a t organisms do very o f t e n feed b a c k m s o m e sense to alter o n g o i n g or s u b s e q u e n t b e h a v i o r F u r t h e r m o r e , c o n t r o l t h e o r y p r o v i d e s a way t o a n a l y z e m a logical a n d q u a n t i t a t i v e m a n n e r c o m p l i c a t e d s y s t e m s t h a t are i n f l u e n c e d b y a m u l t i p l i c i t y o f variables o f t e n o p e r a t i n g s i m u l t a n e o u s l y . T o a t e s a n d O a t l e y [31] have s h o w n , f o r e x a m p l e , t h a t t h e m a n y variables w h i c h c o n t r o l w a t e r i n t a k e m t h e rat can be o r g a n i z e d b y c o n t r o l t h e o r y t e c h n i q u e s to provide a r e m a r k a b l y c o m p r e h e n s i v e m o d e l of thirst m this animal. T h e g r o w i n g i n t e r e s t m t h e use of c o n t r o l t h e o r y t o a n a l y z e t h e physiological s u b s t r a t e s of b e h a v i o r has p r o m p t e d a n u m b e r of investigators t o suggest t h a t b o d y weight, or s o m e closely r e l a t e d q u a n t i t y s u c h as t o t a l lipid v o l u m e , m a y be r e g u l a t e d b y m e a n s o f a set p o i n t c o n t r o l s y s t e m [4, 7, 13, 19, 20, 22, 28, 3 2 ] . I n d e e d , this c o n c e p t i o n of w e i g h t c o n t r o l has b e c o m e so p o p u l a r t h a t it is p u t f o r w a r d as e s t a b l i s h e d fact m at least o n e i n t r o d u c t o r y p s y c h o l o g y t e x t [ 2 ] . T h e d e f i n i n g c h a r a c t e r i s t i c of s u c h a s y s t e m is t h a t it c o n t a i n s a r e f e r e n c e p o i n t against w h i c h t h e c u r r e n t s t a t e of t h e o r g a n i s m is c o m p a r e d D e v i a t i o n s f r o m t h e set p o i n t g e n e r a t e a n e r r o r signal w h i c h activates t h e s y s t e m t o c o r r e c t t h e deviation. T h e effect of i This paper was supported in part by National Science Foundation Grant B M S - 7 5 - 1 7 0 9 1 . 2 Requests for reprints should be sent to David Wlrtshafter, Department of Psychology, Umverslty of Ilhnols, Chicago, Box 4348, Chicago, IL 60680 75 76 to develop as the h y p o t h e t i c a l set p o i n t begins to acquire j u s t t h a t a m o u n t of v a r i a b l h t y w h i c h is necessary to explain o b s e r v e d variability m b o d y weight One r e a s o n for the p o p u l a r i t y of the set p o i n t c o n c e p t is t h a t ~t is a plausible a n d c o n v e n i e n t way to a c c o u n t for the m a i n t e n a n c e of a stable b o d y w e i g h t Plausabthty and c o n v e m e n c e aside, h o w e v e r , t h e f u n d a m e n t a l q u e s t i o n is is a set p o i n t necessary to explain t h e evidence w h i c h has b e e n cxted m s u p p o r t of its existence9 We show here t h a t it IS not, since a simple f e e d b a c k m o d e l w i t h o u t a set p o i n t can be c o n s t r u c t e d w h i c h can explain all o f the evidence w h i c h has b e e n cited m s u p p o r t of t h e existence of a CNS b o d y weight set p o i n t Given t h a t this is the case. it b e c o m e s clear t h a t t h o s e w h o w~sh to argue for the existence of a n e u r a l set p o i n t for b o d y weight will have to provide m o r e direct e v i d e n c e for it t h a n b o d y weight s t a b i l i t y Let us n o w c o n s i d e r evidence w h i c h has b e e n used to s u p p o r t the idea of a set p o i n t a n d see how well an a l t e r n a t e m o d e l can explain ~t S o m e o f t h e m o s t c o n v i n c i n g s u p p o r t for the e x i s t e n c e of a set p o i n t for b o d y weight c o m e s f r o m t h e studies of Keesey a n d his associates [3, 12, 13, 17, 25] P o w l e y and Keesey [25] f o u n d t h a t f o l l o w i n g small lateral h y p o t h a l a m l c I LH) lesions rats m a i n t a i n t h e i r b o d y weight at l o w e r t h a n n o r m a l levels and will d e f e n d this l o w e r e d weight m the face of various r e g u l a t o r y challenges F o r e x a m p l e , ff t h e b o d y w m g h t ot lesioned a m m a l s is f u r t h e r decreased t h r o u g h d e p r i v a t i o n or increased t h r o u g h force feeding, these s u b j e c t s will, u p o n b e i n g r e t u r n e d to ad h b feeding c o n d i t i o n s , adjust thexr f o o d i n t a k e so as to regain t h e i r p r e w o u s , p o s t l e s m n i n g w e i g h t [13] In the m o s t d r a m a t i c o f these e x p e r i m e n t s , Powley and Keesey [251 f o u n d t h a t rats starved p r e o p e r a t l v e l y to weights below t h o s e m a i n t a i n e d by LH lesioned a m m a l s actually b e c a m e h y p e r p h a g l c a n d g a m e d weight w h e n allowed to feed freely following surgery The h y p e r p h a g l a c o n t i n u e d until the animals r e a c h e d a n e w s u b n o r m a l b o d y weight, at w h i c h they stabilized W h e n dietary p a l a t a b i l i t y a n d caloric d e n s i t y were m a n i p u l a t e d , LH and c o n t r o l rats s h o w e d a l m o s t parallel a d j u s t m e n t s m b o d y weight F r o m these elegant studies Keesey et a l [ 13 ] c o n c l u d e d , "a direct or p r i m a r y effect of LH lesions is to l o w e r the set p o i n t for b o d y weight " If it is g r a n t e d t h a t h y p o t h a l a m i c lesions can adjust a neural set p o i n t , it follows t h a t t h e r e m u s t n o r m a l l y exist such a set p o i n t a n d t h a t the LH m u s t s o m e h o w be revolved in its f u n c t i o n i n g A l t h o u g h these a u t h o r s a d m i t t h a t damage to s e n s o r y or m o t o r systems m i g h t r e s u l t in l o w e r e d weight, it is a p p a r e n t l y a s s u m e d t h a t such damage c o u l d n o t alter t h e level at w h i c h b o d y weight is actively d e f e n d e d T h u s the c o n c l u s i o n o f Keesey and his c o w o r k e r s rests on the a s s u m p t m n t h a t o n l y by a l t e r i n g t h e set p o i n t of t h e b o d y weight c o n t r o l s y s t e m could t h e weight level w h i c h t h e s y s t e m d e f e n d s be altered Let us n o w c o n s i d e r an a l t e r n a t i v e m o d e l for b o d y weight c o n t r o l Let us s u p p o s e t h a t an a n i m a l ' s feeding m e c h a n i s m is a c t i v a t e d by s e n s o r y stimuli arising f r o m available f o o d , w h i c h we will r e p r e s e n t by t h e l e t t e r S, a n d i n h i b i t e d b y a f e e d b a c k signal w h i c h is p r o p o r t i o n a l to b o d y weight w h i c h we will r e p r e s e n t by t h e l e t t e r W A c o n t r o l s y s t e m i n c o r p o r a t i n g these a s s u m p t m n s is s h o w n in Fig 1 In this m o d e l . H a n d G ale b o t h c o n s t a n t s ol p r o p o r t l o n a h t y H r e p r e s e n t s t h e w e i g h t i n g given to a signal w h i c h d e p e n d s u p o n the h p l d c o n t e n t of t h e a n i m a l ' s b o d y A l t h o u g h s u c h a signal has n o t yet b e e n Identified, any t y p e WIRISHAI-It R X\l) l)\\I,'- +g g S FIG. 1. Diagram ot a simple body weight control model which contains no set point See text for detalb of s y s t e m c a p a b l e of c o n t r o l h n g b o d y h p l d c o n t e n t m u s t be able to m o m t o r this variable G reflects t h e f u n c t i o n i n g o f a s y s t e m w h i c h p r o d u c e s , m p r o p o r t i o n to ~ts i n p u t , c, a p a r t i c u l a r b o d y weight The e l e m e n t s s y m b o l i z e d by G w o u l d t h u s have to c o n t a i n , a m o n g o t h e r things, mecha m s m s for the s h o r t a n d l o n g - t e r m c o n t r o l of r e t a k e G is s o m e t i m e s k n o w n as the f o r w a r d gain of the system, and H the f e e d b a c k gain F o r s l m p h c l t y we will Ignore the possible dynamlc~ ol the m o d e l a n d c o n s i d e r only p r e d i c t i o n s it m a k e s as to steady state weight Since the o u t p u t from an.~ box in the dmgram is simply the i n p u t to it m u l t l p h e d by the p a r a m e t e r m the b o x , we can derwe a t r a n s f e r f u n c t i o n for this s y s t e m w h i c h will describe h o w the o u t p u t of the system, W ( b o d y welght), changes with t h e changes in the input S and changes m the parameters G and H Thus e = S-WH W=eG by s u b s t i t u t i o n , W = (S- WH) G rearranging, W + GWH = GS and, W- GS 1 + GH (I) This last f o r m u l a [ 1 ] is the t r a n s f e r f u n c t i o n for the m o d e l i l l u s t r a t e d in Fig 1 It describes the c o n t r o l of b o d y weight (W) in t e r m s of sensory i n p u t a n d the f o r w a r d a n d f e e d b a c k gain o f the s y s t e m T h e value w h i c h W assumes is the p r e d i c t e d s t e a d y state weight of an o r g a n i s m w h o s e b o d y w e i g h t is c o n t r o l l e d by the s y s t e m s h o w n in Fig. 1. We call t h e value w h i c h W takes t h e settling p o i n t of t h e o u t p u t o f t h e system, since a n y change in t h e values of S, G, or H will alter t h e value of W a n d cause it to settle at a n e w value. Some a u t h o r s ( e . g , [32] ) have used t h e t e r m set p o i n t to describe the level at w h i c h a n i m a l s m a m t a m t h e i r b o d y weights. We p r e f e r the t e r m settling p o i n t since this t e r m as n e u t r a l w i t h respect to C O N T R O L O F BODY W E I G H T the way in which stability is achieved, which m a y or may not be by means of a neural set point. F u r t h e r m o r e , it avoids the possible c o n f u s i o n which can result f r o m using the same term to refer to b o t h the input and the o u t p u t of the same system Consider now the l m p h c a t l o n s of this formula for the control of b o d y weight; it indicates that given c o n s t a n t sensory properties of a diet and constant gains G and H, b o d y weight will be constant Suppose that the effect of a LH lesion were either to lower G or raise H. T h e n b o d y weight would be lowered to a new settling point. If a lesioned animal which had achieved this new level were deprived, causing W to fall below its settling p o i n t d e t e r m i n e d by the current values o f G and H, then were f o o d to be offered again, the animal's weight would increase to predeprlvatlon levels. This is exactly the result which has been r e p o r t e d by Keesey e t at [ 13] The m o d e l predicts that increasing the palatability of the food, 1 e , increasing S, will increase b o d y weight, and decreasing S will decrease b o d y weight. F u r t h e r m o r e it predicts that, if LH lesions affect G and H as discussed above, percentage weight changes for lesioned and control animals in response to altered dietary palatability should be identical This is the effect which Powley and Keesey [25] and Keesey and Boyle [ 12] have r e p o r t e d Suppose further that v e n t r o m e d l a l h y p o t h a l a m l c (VMH) lesions have opposite effects on the system, that is t h e y either increase G or decrease H U n d e r either or b o t h of these conditions b o d y weight would settle at a new and higher level If a lesioned animal which had achieved this new level were deprived, causing W to fall below its settling point, then were f o o d to be offered again, the animal's weight would increase until the original high level was reached This is the result r e p o r t e d by Hoebel and T e i t e l b a u m [8] using VMH lesioned animals. Again, w i t h o u t the i n t r o d u c t i o n of a set point notion, the m o d e l predicts that b o d y weight would be defended. It Is interesting to n o t e that the m o d e l also predicts that as dietary palatability is lowered towards zero, the weight of normal and VMH lesioned animals will converge to a c o m m o n value, a result r e p o r t e d by Sclafani, Springer and Kluge [ 2 0 ] , and one which is difficult to predict based on a simple set point model. These considerations suggest, therefore, that were animals' b o d y weights controlled by a system similar to that of Fig 1, Keesey's results, as well as those of Hoebel and T e i t e l b a u m [8] and m a n y others, could be a c c o u n t e d for w i t h o u t recourse to the n o t i o n of a set point. In o t h e r words changes in the set p o i n t of a system cannot be inferred from changes in its setthng point, nor can the existence of an internal set point be inferred f r o m the fact that a system appears to have a settling p o i n t which it will defend. It should be p o i n t e d out that if the f u n c t i o n s we have s y m b o l i z e d by G were p e r f o r m e d in the LH, and those s y m b o l i z e d by H In the VMH, we would have a m o d e l for the control of feeding very similar to that of Panksepp [22], except for the additional presence of a set point in his model. This m o d e l suggests that the defense of b o d y weight by animals may reflect n o t the existence of an internal standard, but rather a constant m a g n i t u d e of stimuli which drive the intake mechanism. Were this so, one w o u l d e x p e c t that changes in dietary palatability should greatly effect 77 b o d y weight This has often been shown to be the case (e g., [ 5 , 1 4 ] ) , and in fact the fattest rat on record to our knowledge, 1,445 g, was p r o d u c e d not by h y p o t h a l a m l c lesion, but by m a i n t e n a n c e on an e x t r e m e l y palatable high fat diet [ 16 ] If b o d y weight is regulated by an internal set point mechanism one naturally wonders why it is singularly ineffective in maintaining a constant weight in the face of altered dietary palatability. Rejection of a set point concept of weight regulation would have the additional advantage of resolving the problem of an animal's willingness to ingest highly palatable substances in the absence of deprivation [10, 23, 16] The i m p o r t a n c e of external stimulation in controlling feeding behavior is further emphasized by the m a b l h t y of rats to maintain f o o d intake and c o n s e q u e n t l y b o d y weight in the absence of oropharyngeal stimulation [9]. It has been argued that because individuals of the same species defend different weights, there must exist individual differences in set points [20]. It should be obvious, however, that such differences b e t w e e n individuals, as well as b e t w e e n sexes and age groups, could as well reflect disparate gains (G and H of our model) s o m e w h e r e within the weight control system In like manner, the changes in b o d y weight associated with hibernation [ 11 ], migration [ 2 1 ] , and pregnancy [ 3 2 ] , could be p r o d u c e d by alteratlons of gains or by the presence of biasing signals which might, for example, add to S and GW at the summing point shown in Fig 1 In all of these cases, given our current knowledge, it seems to be unnecessary and unparsimonious to i n t r o d u c e the n o t i o n of a set point to explain data which can as well be a c c o u n t e d for w i t h o u t its i n t r o d u c t i o n A l t h o u g h the model which we have proposed here is m u c h t o o simple to provide an explanation of the control of b o d y weight, it may serve to draw a t t e n t i o n to several points. First, it suggests a way in which the effects of variations in the sensory properties of f o o d might be i n c o r p o r a t e d into a m o d e l of body weight control Since it is widely recognized that input from gustatory, olfactory and o t h e r sensory systems play a central role in the control of ingestion, and hence b o d y weight, it seems essential that such an input should be an i m p o r t a n t element of any weight control model. Using sensory stimulation rather than a set point as the input to the system takes account of this point It also emphasizes the fact that the a m o u n t of food which an animal ingests may be more d e p e n d e n t on sensory factors than upon an internal drive which arises when nutritional reserves fall below some reference point Secondly, it demonstrates that the postulation of a neural set point is not necessary to account for weight control The fact that a given q u a n t i t y Is, under some circumstances, maintained at a relatively constant value does not by ~tself imply the existence of an internal reference value This point is relevant not only to the issue of the control of b o d y weight but to any biological control system. F o r example, regulation and defense of body temperature, or body water does not necessarily imply the existence of set points controlling these variables In summary, this m o d e l suggests a new way of looking at the problem of the control b o d y weight. Alternative ways of looking at problems sometimes lead to progress in a field 78 W1RtSHAI Ii R \ X [ ) 1~,~\ I ~, REFERENCES 1 2. 3. 4 5. 6 7 9 10 11. 12 13 14. 15 16. Booth, D. A. ( e d ) Quanntatn'e Models o f Feedmg L o n d o n Academic, 1976 (in press) Bourne, L. k and B. R. Ekstrand Psychology Its Principles and Meanmgs. New York Holt, Rinehart and Winston, 1976 Boyle, P. C and R E Keesey Chronically reduced body weight in rats sustaining lesions of the lateral h y p o t h a l a m u s and maintained on palatable diets and drinking solutions J eomp phystol Psychol 88: 2 1 8 - 2 2 3 , 1975 Cabanac, M Physmloglcal role o f pleasure Scwnce 173: 1 1 0 3 - 1 1 0 7 , 1971 CorblL J. P and E. 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