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1 2 3 4 5 6 7
measuring points (8h)
4-legged (%)
Treatment of Highland Frogs from the Two Legged Stage with
Homeopathically Prepared Thyroxin (10-11
– 10-21
)
Gerhard Lingg M.D.(A.M.) ARTE SANITAS - Unabhängiges privates Institut für medizinische Innovation, CH-9410 Heiden, www.artesanitas.at
The influence of moderately diluted, agitated, i.e., homeopathically prepared, thyroxin solutions
(10–11
– 10–21
, final concentration in the basin water 0.6 × 10–15
– 0.6 × 10–25
parts by weight after
the first application) on metamorphosis in highland Rana temporaria from the two-legged stage
was studied. In accordance with the homeopathic idea of effects of specially prepared dilutions
being inverse to those of their mother substances, animals were treated either with thyroxin
10–11
– 10–21
or analogously prepared blank solution (water). Development was monitored by
documenting the number of animals that had entered the four-legged stage. It has been found
that animals treated with the thyroxin solutions metamorphosed more slowly than the control
animals, i.e., the effect of the homeopathically prepared thyroxin was opposed to the usual
effect of molecular thyroxin. The number of test animals that reached the four-legged stage at
defined points in time was smaller (2–13.5%) in the group treated with homeopathically
prepared thyroxin at the points in time, compared to control. The results in this study sustain
the previous multiresearcher findings that show that diluted homeopathically prepared thyroxin
is able to slow down metamorphosis of R. temporaria.
KEYWORDS: amphibian, hormone, thyroxin, homeopathic dilution, Q-dilution, hormesis
INTRODUCTION
Previous experiments performed in five independent laboratories in Austria and the Netherlands have shown
that a homeopathically prepared dilution of thyroxin 10–30
(“decimal dilution”, final concentration in the basin wa-
ter 10–35
) was used to slow down metamorphosis from the two- to four-legged stage in highland Rana temporaria
(3–11%; p < 0.001). Thyroxin 10–30
was compared to analogously prepared solvent water 10–30
; number of animals
= 1,620 per group[1,2,3,4].
Further studies on thyroxin 10–30
were discussed elsewhere, namely analogous experiments with animals
from lowland biotopes[5], experiments with highland[3,4] and lowland[5] animals pretreatedwith molecular
thyroxin, and experiments with lowland animals treated from the spawn stage on[6].
For the experiment presented here, we used the same setup as for the initial multilaboratory study[1,2,3,4],
but a special preparation process of the homeopathic drug involving dilution steps of 1:50,000 and leading to
thyroxin 10–11
– 10–21
was used.
METHODS
The experiments were carried out by Lingg in his laboratory at Bregenz, Austria. The study was planned by
Lingg and Endler. Application of the homeopathically prepared thyroxin or solvent was done blind.
Animals, Staging, Water. and Further Laboratory Conditions
Rana temporaria larvae were taken from highland pools in the Austrian Alps, approximately 1,500 m above
sea level. The starting stage for treatment was defined as the point at which the hind legs of the two-legged
tadpoles are straddled, such that one can only just see through the triangle formed by thigh, shank, and tail. This
point of development occurs during Gosner’s stage 31[7, p. 45]. The tadpoles were observed until the forelegs
would break through the skin and the animals thus entered the four-legged stage. Basins contained 7.5 l of dwell
water each; water was not refreshed during the experiment.
In experiment 1, 40 animals were always allotted to each of a total of eight white plastic basins according to a
random procedure. In experiments 2 and 3, 25 animals were always allotted. Indirect natural light was used. Room
temperature was 20 ± 2°C. The tadpoles were fed with blanched greens (lettuce) ad libitum. Experiments were
carried out in August and September 2007.
Preparation and Administration of Test Solutions
One group of two-legged animals were treated with the homeopathically prepared test dilutions of
tetraiodothyronine sodium pentahydrate (L-thyroxine, T4, Sigma), while the other one was treated with the
analogously prepared solvent.
Dilutions Q1 (= 2 × 10–11 parts by weight), Q2 (= 4 × 10–16
), and Q3 (=8 × 10–21
) were prepared according to
standardized instructions[8]. These involved dilution steps of 1:50,000 and vigorous agitation between steps.
Preparation of test and control substances was done by K. Leisser, Homeocur ltd, Retz, Austria.
A quantity of 0.25 ml of probe dilution (test or control) was added per 7.5 l of basin water at intervals
of 8 h. Thus, final concentration in the basin water would be 0.6 × 10–15
after first application of Q1, 0.6 × 10–20
of
Q2, and 0.6 × 10–25
of Q3. At day 1, Q1 was used, at day 2, Q2 (etc., see Table 1).
TABLE 1
Application Scheme of Test and Control Dilutions (for explanation, see text)
Day 1 Day 2 Day 2 Day 2 Day 3 Day 3 Day 3 Day 4 Day 4 Day 4 Day 5 Day 5 Day 5
22 h 06 h 14 h 22 h 06 h 14 h 22 h 06 h 14 h 22 h 06 h 14 h 22 h
Q1 Q2 Q2 Q2 Q3 Q3 Q3 Q1 Q1 Q1 Q2 Q2 Q2
Ascertaining and Evaluating the Data
Following a suggestion by R. Lüdtke, Institut für Medizinische Informationsverarbeitung Tübingen
University[5], the points in time when the numbers of water control animals that had reached the four
legged stage were closest to the 10th, 20th, 30th, 40th, 50th, 60th, and 70th percentiles were defined as
reference points. The time interval between reference points normally was 8 or 16 h. In those cases, when
values of water control animals were, for example, 6% in one point in time and 14% in the following, we
decided to use the arithmetic mean (10%) both for water and control values. In this way, it was possible to
aggregate, for each of the reference points, the cumulative frequency of animals treated with control or
test solution having reached the four-legged stage. Aggregate values obtained at the reference points for
each of the types of treatment were analyzed by Chi-square tests using four-field tables with aggregate
frequencies of two- or three-legged animals as complement. According to a Bonferroni correction for
multiple measurements (i.e., 7), p values would have to be <0.007 to signify statistical significance.
Different statistical methods had been discussed in connection with the amphibian model previously,
such as variance analysis, t-test, survival analysis, proportional hazards model, and logistic regression[5].
These usually lead to comparable results but need larger numbers of basins in one and the same
experiment. Furthermore, depending on differences in the overall duration of experiments, standard
deviation (SD) is usually contorted when experiments from different laboratories are pooled. Also, in
order to make results comparable to those of previous publications, we restricted ourselves to the
(comparatively rough and estimative) Chi-square test.
RESULTS
There were 260 animals treated with thyroxin Q dilutions and
260 animals with analogously prepared water. As shown in
Fig. 1 and Table 2, animals treated with the test solution (black
squares) metamorphosed more slowly than the control animals
(white squares) at most points in time (2–13.5%).
The p values were significant at three points in time, out of
which one was statistically significant after Bonferroni
correction. SD was about 7–10%.
FIGURE 1. The effect of thyroxin 10–11
– 10–21
(“Q” dilutions 1, 2, and
3) on highland R. temporaria. Ordinate = cumulative frequency of
four-legged tadpoles (N).
Abscissa = points in time. Black squares = frequencies of animals
treated with homeopathically prepared thyroxin; white squares =
animals treated with analogously prepared water. For further details,
see text.
TABLE 2
The Effect of Thyroxin 10–11
– 10–21
Measuring Point 1 2 3 4 5 6 7
N water Q – animals 22 57 100 130 158 174 199
N thyroxin Q – animals 27 48 82 100 123 149 189
P 0.53 0.35 0.13 0.01 0.003 0.03 0.39
Sign. without corr. — — ** ** * —
Sign. Bonferroni corr. — — — — ** — —
N = Numbers of four-legged animals at the measuring points; P = p
values (Chi-square tests); Sign. = significance without correction and
Bonferroni corrected. * = significant; ** = highly significant
Values for thyroxin Q – animals were below those of water
Q – animals in each of the subexperiments including 50 + 50,
50 + 50, and 160 + 160 animals.
Frequencies of animals treated with homeopathically prepared
thyroxin reached the values of control animals with a delay of
about 0.29–1.39 intervals between points in time (= 2–11 h).
Thus, in accordance with our previous studies, the effect of the
homeopathically prepared thyroxin was opposed to the usual
stimulating effect of molecular thyroxin.
DISCUSSION
From our studies [1,2,3,4,5,6,7,9], there appears to be a
relationship between the effect of homeopathically prepared
thyroxin and an elevated thyroxin level in the animals during
metamorphosis.
Thyroxin diluted in steps of 1:10 (“decimal dilution”) up to
10–30 led to a slowing down of metamorphosis of about
3–11%[1,2,3,4]. Thyroxin diluted in steps of 1:50,000
(“Q”-dilution) up to 10–11
– 10–21
also led to a slowing down of
2–13.5% (the study presented here).
From a theoretical point of view, it seems interesting that
information from the original thyroxin molecules may have been
“imprinted” in water by input of kinetic energy in a sequence
of only a few steps of dilution 1:50,000 plus vigorous agitation
with a comparable result by a much longer sequence of steps
of 1:10. It goes without saying that further investigation should
concern both “decimal” dilutions in the range of 10–11
– 10–21
as
well as “Q” dilutions in the range of 10–30
.
Additionally, the so-called “hormesis” effect of moderate
molecular dilutions[7, p. 5ff], prepared without “homeopathic”
agitation phases, could be investigated with the amphibian
model.
PUBLIKATION im Medline-erfassten “Scientific World Journal”
Treatment of Frogs with Homeopathically Prepared Thyroxin (10-16)
Gerhard Lingg, P. Christian Endler, Waltraud Scherer-Pongratz,
Michael Frass
Interuniversity College for Health and Development
Graz / Castle of Seggau, Austria
Harald Lothaller University of Graz, Austria	
E-mail: college@inter-uni.net
REFERENCES
1. Endler, P.C., Pongratz, W., Van Wijk, R., Kastberger, G., and
Haidvogl, M. (1991) Effects of highly diluted
succussed thyroxin on metamorphosis of highland frogs. Berlin
J. Res. Hom. 1, 151–160.
2. Zausner, C., Lassnig, H., Endler, P.C., Scherer, W., Haidvogl, 		
M., Frass, M., Kastberger, G., and Lüdtke, R. (2002)
Die Wirkung von “homöopathisch” zubereitetem Thyroxin auf
die Metamorphose von Hochlandamphibien -
Ergebnisse einer multizentrischen Kontrollstudie. Perfusion 17,
268–276.
3. Welles, S.U., Endler, P.C., Scherer-Pongratz, W.,
Suanjak-Traidl, E., Weber, S., Spranger, H., Frass, M., and
Lothaller, H. (2007) Pretreatment with thyroxin 10(-8) and the
ef fect of homeopathically prepared thyroxin 10(-30)
on highland frogs--a multi-researcher study. Forsch.
Komplement. Med. 14, 353–357.
http://content.karger.com/ProdukteDB/produkte.
asp?doi=111540
4. Weber, S., Endler, P.C., Welles, S.U., Suanjak-Traidl, E.,
Scherer-Pongratz, W., Frass, M., Spranger, H., Peithner, G.,
and Lothaller, H. (2008) The effect of homeopathically
prepared thyroxine on highland frogs: influence of
electromagnetic fields. Homeopathy 97, 3–9.
5. Endler, P.C., Lüdtke, R., Heckmann, C., Zausner, C., Lassing,
H., Scherer-Pongratz, W., Haidvogl, M., and Frass, M.
(2003) Pretreatment with thyroxin (10-8 parts by weight)
enhances a “curative” effect of homeopathically prepared
thyroxin (10-13) on lowland frogs. Forsch. Komplementarmed.
Klass. Naturheilkd.10, 137–142.
6. Graunke, H., Endler, P.C., Scherer-Pongratz, W., Frass, M.,
and Lothaller, H. (2007) Treatment of lowland frogs from
the spawn stage with homeopathically prepared thyroxin
(10(-30)). TheScientificWorldJOURNAL 7, 1697–1702.
7. Endler, P.C. and Schulte, J. (1998) Ultra High Dilution.
Physiology and Physics. Kluwer Academic, Dortrecht.
8. Deutscher Apotheker Verlag (2007) Homöopathishes
Arzneibuch 2006. Amtliche Ausgabe. Deutscher Apotheker
Verlag, Stuttgart.
9. Endler, P.C., Pongratz, W., Smith, C.W., and Schulte, J. (1995)
Non-molecular information transfer from thyroxin to
frogs with regard to homeopathic toxicology. Vet. Hum.
Toxicol. 37, 259–260.
4-legged(%)

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Treatment of Highland Frogs from the Two Legged Stage with Homeopathically Prepared Thyroxin (10-11 – 10-21) Gerhard Lingg1, P. Christian Endler1,*, Michael Frass1, and Harald Lothaller2, 1Interuniversity College for Health and Development Graz/Castle

  • 1. - 10 20 30 40 50 60 70 80 1 2 3 4 5 6 7 measuring points (8h) 4-legged (%) Treatment of Highland Frogs from the Two Legged Stage with Homeopathically Prepared Thyroxin (10-11 – 10-21 ) Gerhard Lingg M.D.(A.M.) ARTE SANITAS - Unabhängiges privates Institut für medizinische Innovation, CH-9410 Heiden, www.artesanitas.at The influence of moderately diluted, agitated, i.e., homeopathically prepared, thyroxin solutions (10–11 – 10–21 , final concentration in the basin water 0.6 × 10–15 – 0.6 × 10–25 parts by weight after the first application) on metamorphosis in highland Rana temporaria from the two-legged stage was studied. In accordance with the homeopathic idea of effects of specially prepared dilutions being inverse to those of their mother substances, animals were treated either with thyroxin 10–11 – 10–21 or analogously prepared blank solution (water). Development was monitored by documenting the number of animals that had entered the four-legged stage. It has been found that animals treated with the thyroxin solutions metamorphosed more slowly than the control animals, i.e., the effect of the homeopathically prepared thyroxin was opposed to the usual effect of molecular thyroxin. The number of test animals that reached the four-legged stage at defined points in time was smaller (2–13.5%) in the group treated with homeopathically prepared thyroxin at the points in time, compared to control. The results in this study sustain the previous multiresearcher findings that show that diluted homeopathically prepared thyroxin is able to slow down metamorphosis of R. temporaria. KEYWORDS: amphibian, hormone, thyroxin, homeopathic dilution, Q-dilution, hormesis INTRODUCTION Previous experiments performed in five independent laboratories in Austria and the Netherlands have shown that a homeopathically prepared dilution of thyroxin 10–30 (“decimal dilution”, final concentration in the basin wa- ter 10–35 ) was used to slow down metamorphosis from the two- to four-legged stage in highland Rana temporaria (3–11%; p < 0.001). Thyroxin 10–30 was compared to analogously prepared solvent water 10–30 ; number of animals = 1,620 per group[1,2,3,4]. Further studies on thyroxin 10–30 were discussed elsewhere, namely analogous experiments with animals from lowland biotopes[5], experiments with highland[3,4] and lowland[5] animals pretreatedwith molecular thyroxin, and experiments with lowland animals treated from the spawn stage on[6]. For the experiment presented here, we used the same setup as for the initial multilaboratory study[1,2,3,4], but a special preparation process of the homeopathic drug involving dilution steps of 1:50,000 and leading to thyroxin 10–11 – 10–21 was used. METHODS The experiments were carried out by Lingg in his laboratory at Bregenz, Austria. The study was planned by Lingg and Endler. Application of the homeopathically prepared thyroxin or solvent was done blind. Animals, Staging, Water. and Further Laboratory Conditions Rana temporaria larvae were taken from highland pools in the Austrian Alps, approximately 1,500 m above sea level. The starting stage for treatment was defined as the point at which the hind legs of the two-legged tadpoles are straddled, such that one can only just see through the triangle formed by thigh, shank, and tail. This point of development occurs during Gosner’s stage 31[7, p. 45]. The tadpoles were observed until the forelegs would break through the skin and the animals thus entered the four-legged stage. Basins contained 7.5 l of dwell water each; water was not refreshed during the experiment. In experiment 1, 40 animals were always allotted to each of a total of eight white plastic basins according to a random procedure. In experiments 2 and 3, 25 animals were always allotted. Indirect natural light was used. Room temperature was 20 ± 2°C. The tadpoles were fed with blanched greens (lettuce) ad libitum. Experiments were carried out in August and September 2007. Preparation and Administration of Test Solutions One group of two-legged animals were treated with the homeopathically prepared test dilutions of tetraiodothyronine sodium pentahydrate (L-thyroxine, T4, Sigma), while the other one was treated with the analogously prepared solvent. Dilutions Q1 (= 2 × 10–11 parts by weight), Q2 (= 4 × 10–16 ), and Q3 (=8 × 10–21 ) were prepared according to standardized instructions[8]. These involved dilution steps of 1:50,000 and vigorous agitation between steps. Preparation of test and control substances was done by K. Leisser, Homeocur ltd, Retz, Austria. A quantity of 0.25 ml of probe dilution (test or control) was added per 7.5 l of basin water at intervals of 8 h. Thus, final concentration in the basin water would be 0.6 × 10–15 after first application of Q1, 0.6 × 10–20 of Q2, and 0.6 × 10–25 of Q3. At day 1, Q1 was used, at day 2, Q2 (etc., see Table 1). TABLE 1 Application Scheme of Test and Control Dilutions (for explanation, see text) Day 1 Day 2 Day 2 Day 2 Day 3 Day 3 Day 3 Day 4 Day 4 Day 4 Day 5 Day 5 Day 5 22 h 06 h 14 h 22 h 06 h 14 h 22 h 06 h 14 h 22 h 06 h 14 h 22 h Q1 Q2 Q2 Q2 Q3 Q3 Q3 Q1 Q1 Q1 Q2 Q2 Q2 Ascertaining and Evaluating the Data Following a suggestion by R. Lüdtke, Institut für Medizinische Informationsverarbeitung Tübingen University[5], the points in time when the numbers of water control animals that had reached the four legged stage were closest to the 10th, 20th, 30th, 40th, 50th, 60th, and 70th percentiles were defined as reference points. The time interval between reference points normally was 8 or 16 h. In those cases, when values of water control animals were, for example, 6% in one point in time and 14% in the following, we decided to use the arithmetic mean (10%) both for water and control values. In this way, it was possible to aggregate, for each of the reference points, the cumulative frequency of animals treated with control or test solution having reached the four-legged stage. Aggregate values obtained at the reference points for each of the types of treatment were analyzed by Chi-square tests using four-field tables with aggregate frequencies of two- or three-legged animals as complement. According to a Bonferroni correction for multiple measurements (i.e., 7), p values would have to be <0.007 to signify statistical significance. Different statistical methods had been discussed in connection with the amphibian model previously, such as variance analysis, t-test, survival analysis, proportional hazards model, and logistic regression[5]. These usually lead to comparable results but need larger numbers of basins in one and the same experiment. Furthermore, depending on differences in the overall duration of experiments, standard deviation (SD) is usually contorted when experiments from different laboratories are pooled. Also, in order to make results comparable to those of previous publications, we restricted ourselves to the (comparatively rough and estimative) Chi-square test. RESULTS There were 260 animals treated with thyroxin Q dilutions and 260 animals with analogously prepared water. As shown in Fig. 1 and Table 2, animals treated with the test solution (black squares) metamorphosed more slowly than the control animals (white squares) at most points in time (2–13.5%). The p values were significant at three points in time, out of which one was statistically significant after Bonferroni correction. SD was about 7–10%. FIGURE 1. The effect of thyroxin 10–11 – 10–21 (“Q” dilutions 1, 2, and 3) on highland R. temporaria. Ordinate = cumulative frequency of four-legged tadpoles (N). Abscissa = points in time. Black squares = frequencies of animals treated with homeopathically prepared thyroxin; white squares = animals treated with analogously prepared water. For further details, see text. TABLE 2 The Effect of Thyroxin 10–11 – 10–21 Measuring Point 1 2 3 4 5 6 7 N water Q – animals 22 57 100 130 158 174 199 N thyroxin Q – animals 27 48 82 100 123 149 189 P 0.53 0.35 0.13 0.01 0.003 0.03 0.39 Sign. without corr. — — ** ** * — Sign. Bonferroni corr. — — — — ** — — N = Numbers of four-legged animals at the measuring points; P = p values (Chi-square tests); Sign. = significance without correction and Bonferroni corrected. * = significant; ** = highly significant Values for thyroxin Q – animals were below those of water Q – animals in each of the subexperiments including 50 + 50, 50 + 50, and 160 + 160 animals. Frequencies of animals treated with homeopathically prepared thyroxin reached the values of control animals with a delay of about 0.29–1.39 intervals between points in time (= 2–11 h). Thus, in accordance with our previous studies, the effect of the homeopathically prepared thyroxin was opposed to the usual stimulating effect of molecular thyroxin. DISCUSSION From our studies [1,2,3,4,5,6,7,9], there appears to be a relationship between the effect of homeopathically prepared thyroxin and an elevated thyroxin level in the animals during metamorphosis. Thyroxin diluted in steps of 1:10 (“decimal dilution”) up to 10–30 led to a slowing down of metamorphosis of about 3–11%[1,2,3,4]. Thyroxin diluted in steps of 1:50,000 (“Q”-dilution) up to 10–11 – 10–21 also led to a slowing down of 2–13.5% (the study presented here). From a theoretical point of view, it seems interesting that information from the original thyroxin molecules may have been “imprinted” in water by input of kinetic energy in a sequence of only a few steps of dilution 1:50,000 plus vigorous agitation with a comparable result by a much longer sequence of steps of 1:10. It goes without saying that further investigation should concern both “decimal” dilutions in the range of 10–11 – 10–21 as well as “Q” dilutions in the range of 10–30 . Additionally, the so-called “hormesis” effect of moderate molecular dilutions[7, p. 5ff], prepared without “homeopathic” agitation phases, could be investigated with the amphibian model. PUBLIKATION im Medline-erfassten “Scientific World Journal” Treatment of Frogs with Homeopathically Prepared Thyroxin (10-16) Gerhard Lingg, P. Christian Endler, Waltraud Scherer-Pongratz, Michael Frass Interuniversity College for Health and Development Graz / Castle of Seggau, Austria Harald Lothaller University of Graz, Austria E-mail: college@inter-uni.net REFERENCES 1. Endler, P.C., Pongratz, W., Van Wijk, R., Kastberger, G., and Haidvogl, M. (1991) Effects of highly diluted succussed thyroxin on metamorphosis of highland frogs. Berlin J. Res. Hom. 1, 151–160. 2. Zausner, C., Lassnig, H., Endler, P.C., Scherer, W., Haidvogl, M., Frass, M., Kastberger, G., and Lüdtke, R. (2002) Die Wirkung von “homöopathisch” zubereitetem Thyroxin auf die Metamorphose von Hochlandamphibien - Ergebnisse einer multizentrischen Kontrollstudie. Perfusion 17, 268–276. 3. Welles, S.U., Endler, P.C., Scherer-Pongratz, W., Suanjak-Traidl, E., Weber, S., Spranger, H., Frass, M., and Lothaller, H. (2007) Pretreatment with thyroxin 10(-8) and the ef fect of homeopathically prepared thyroxin 10(-30) on highland frogs--a multi-researcher study. Forsch. Komplement. Med. 14, 353–357. http://content.karger.com/ProdukteDB/produkte. asp?doi=111540 4. Weber, S., Endler, P.C., Welles, S.U., Suanjak-Traidl, E., Scherer-Pongratz, W., Frass, M., Spranger, H., Peithner, G., and Lothaller, H. (2008) The effect of homeopathically prepared thyroxine on highland frogs: influence of electromagnetic fields. Homeopathy 97, 3–9. 5. Endler, P.C., Lüdtke, R., Heckmann, C., Zausner, C., Lassing, H., Scherer-Pongratz, W., Haidvogl, M., and Frass, M. (2003) Pretreatment with thyroxin (10-8 parts by weight) enhances a “curative” effect of homeopathically prepared thyroxin (10-13) on lowland frogs. Forsch. Komplementarmed. Klass. Naturheilkd.10, 137–142. 6. Graunke, H., Endler, P.C., Scherer-Pongratz, W., Frass, M., and Lothaller, H. (2007) Treatment of lowland frogs from the spawn stage with homeopathically prepared thyroxin (10(-30)). TheScientificWorldJOURNAL 7, 1697–1702. 7. Endler, P.C. and Schulte, J. (1998) Ultra High Dilution. Physiology and Physics. Kluwer Academic, Dortrecht. 8. Deutscher Apotheker Verlag (2007) Homöopathishes Arzneibuch 2006. Amtliche Ausgabe. Deutscher Apotheker Verlag, Stuttgart. 9. Endler, P.C., Pongratz, W., Smith, C.W., and Schulte, J. (1995) Non-molecular information transfer from thyroxin to frogs with regard to homeopathic toxicology. Vet. Hum. Toxicol. 37, 259–260. 4-legged(%)