|
|
||||||||
1 Wellcome Surgical Institute and 2 Department of Medicine and Therapeutics, University of Glasgow, Glasgow G61 1QH, United Kingdom
| |
ABSTRACT |
|---|
|
|
|---|
Estrogen treatment has been shown to reduce ischemic brain damage. Because endogenous estrogen levels fluctuate markedly during the estrous cycle, we investigated the effect of stage of estrous cycle on ischemic brain damage. Halothane anesthetized 3- to 5-mo-old female Wistar-Kyoto rats (WKY) and stroke-prone spontaneously hypertensive rats (SHRSP) in proestrus (high estradiol levels) or metestrus (low estradiol levels) underwent permanent middle cerebral artery occlusion. In SHRSP, infarct volume at 24 h postocclusion was 24% smaller in proestrus compared with metestrus [208.6 ± 9.5 mm3 (n = 7) vs. 272.7 ± 23.8 mm3 (n = 7), respectively, means ± SE; P = 0.0278, unpaired t-test]. In WKY, infarct volumes were similar in proestrus and metestrus [157.0 ± 5.4 mm3 (n = 5) and 131.5 ± 16.5 mm3 (n = 8), respectively; P = not significant (NS)]. Brain swelling (ipsilateral minus contralateral hemispheric volumes) was similar in proestrus and metestrus for SHRSP [138 ± 9 mm3 (n = 6) and 136 ± 10 mm3 (n = 7), respectively] and for WKY [103 ± 15 mm3 (n = 5) and 90 ± 11 mm3 (n = 8), respectively]. Thus the reduction in infarct size in SHRSP is caused by a true attenuation of the infarct volume and not simply by a reduction in brain edema.
middle cerebral artery occlusion; brain damage
| |
INTRODUCTION |
|---|
|
|
|---|
ESTROGEN DEFICIENCY is thought to cause increased risk of cerebrovascular events after menopause (33). In animal models of stroke, ischemic brain damage is exacerbated by estrogen depletion (1) and ameliorated by estrogen repletion (8, 25, 31). Recently, we reported (3) that rats in metestrus exhibit more ischemic brain damage than randomly selected females.
Circulating estrogen fluctuates over the 4- to 5-day rat estrous cycle. Briefly, during metestrus, levels of estrogen and progesterone are low and ovarian follicle growth is stimulated. As follicles develop (during diestrus), they begin to secrete estrogen. The levels of estrogen peak during proestrus, stimulating the release of luteinizing hormone (LH). LH causes maturation of the follicles, and, when one of them ruptures, progesterone is released (ovulation, during estrus), activating sexual receptivity. Plasma estradiol levels have been reported to be ~30 pg/ml in metestrus and to rise to ~140 pg/ml in proestrus (22).
Stroke-prone spontaneously hypertensive rats (SHRSP) and their normotensive counterpart, Wistar-Kyoto rats (WKY), have been used to examine whether rats in proestrus sustain less ischemic damage than rats in metestrus. SHRSP have genetically determined hypertension, a high frequency of spontaneous stroke (23), and increased sensitivity to experimental stroke compared with WKY rats (3, 7). They were used in the present study because of their pathogenetic similarity to stroke patients (34) and because female rats from a WKY-SHRSP cross were shown previously to incur larger infarcts during metestrus than when randomly selected (3).
| |
METHODS |
|---|
|
|
|---|
All experiments were carried out under a project license from the British Home Office and were subject to the Animals (Scientific Procedures) Act, 1986. Breeding and housing of SHRSP and WKY was described previously (5). Two groups were used in each strain: females were either in metestrus (WKY, n = 8; SHRSP, n = 7) or in proestrus (WKY, n = 5; SHRSP, n = 7) at the time of middle cerebral artery (MCA) occlusion (MCAO). Vaginal smears were stained with methylene blue, and the types of cells present were examined under a light microscope to determine the cycle stage (2). Smear test results were verified in a separate series of female WKY by radioimmunoassay of plasma estradiol levels and were found to be ~15 pg/ml in metestrus and 167 pg/ml in proestrus.
All rats were 3-5 mo old at the time of MCAO. Anesthesia was induced by 5% halothane in oxygen-nitrous oxide (30:70) and maintained by intubation on a ventilator with 1-2% halothane. A 2-mm distal segment of the left MCA was occluded by electrocoagulation using the technique of Tamura et al. (29) with monitoring of physiological variables throughout the MCAO and at 24 h after MCAO as previously described (3). A temperature probe inserted into the temporalis muscle was used to assess brain temperature throughout the surgical procedure. Twenty-four hours after MCAO, coronal brain sections were stained with hematoxylin-eosin for measurement of infarct size and brain swelling by image analysis (MCID, Imaging Research, St. Catherines, ON, Canada) as described previously (3). Briefly, the volume of infarction and brain swelling for each brain was derived from integration of areas of damage and hemisphere, respectively, over eight coronal levels with end points of 12.5 mm anterior and 0.05 mm posterior to the interaural line (20). Brain swelling was calculated as the difference in volume of the ipsilateral and contralateral hemispheres. Data are presented as means ± SE, and Student's unpaired t-test (2-tailed) was employed for statistical analysis.
| |
RESULTS |
|---|
|
|
|---|
Physiological parameters.
Table 1 illustrates the physiological
parameters for the experiments in the present study. All physiological
variables were maintained within normal limits under anesthesia.
Systolic blood pressure (measured pre-MCAO by tail cuff) and both
anesthetized and conscious (24 h post-MCAO) mean arterial blood
pressures (MAP) were significantly higher in SHRSP than in WKY, as
expected.
|
Ischemic damage.
Figure 1A illustrates significantly
smaller infarct areas in SHRSP in proestrus compared with metestrus
over five of the eight coronal levels measured. Integration of these
areas of damage gave rise to an infarct volume of 208.6 ± 9.5 mm3 in proestrus (n = 7) and 272.7 ± 23.8 mm3 in metestrus (n = 7) in SHRSP
(P = 0.028). There was no significant difference in areas of
ischemic damage between proestrus and metestrus in WKY (Fig.
1B). The volumes of infarction in proestrus (157.0 ± 5.4 mm3, n = 5) and in metestrus (131.5 ± 16.5 mm3, n = 8) for WKY were not significantly
different (P = 0.26).
|
Brain swelling.
Brain swelling, measured at the eight coronal levels, is displayed in
Fig. 2 for SHRSP and WKY. In SHRSP a
significant difference between metestrus and proestrus was apparent at
only one coronal level, and the total volume of brain swelling in
proestrus (138 ± 9 mm3, n = 6) was not
significantly different from that in metestrus (136 ± 10 mm3, n = 7) (Fig. 2A). Similarly, in WKY,
although the area of brain swelling at one coronal level was
significantly higher in proestrus than in metestrus (Fig. 2B),
the volume of brain swelling was not significantly different between
the two cycle stages [103 ± 15 mm3 (n = 5)
in proestrus and 90 ± 11 mm3 (n = 8) in
metestrus]. A significant correlation was found between brain
swelling and infarct volume in WKY (r2 = 0.39, P = 0.02), but correlation failed to attain significance in
SHRSP (r2 = 0.2, P = 0.13).
|
| |
DISCUSSION |
|---|
|
|
|---|
In a previous study from our group (3), female rats that underwent MCAO in metestrus exhibited greater ischemic damage than rats taken at random in the estrous cycle. The female rats used in that study were the first filial generation produced by crossing SHRSP and WKY and were shown to inherit increased stroke sensitivity from SHRSP (3). The present study illustrates that SHRSP in proestrus exhibit a 24% smaller infarct size compared with SHRSP in metestrus. There was no significant difference in the volume of brain swelling between metestrus and proestrus and no significant correlation between brain swelling and infarct volume in SHRSP. Thus the difference in infarct size between proestrus and metestrus in SHRSP was not simply due to an effect of estrogen on brain swelling. The present results reinforce our previous findings that estrous state can affect the neuropathological outcome of experimental stroke in stroke-sensitive rats, identifying proestrus as a beneficial stage in the estrous cycle.
The magnitude of the difference in infarct size between proestrus and metestrus in the SHRSP is comparable with that seen in estrogen-treated and vehicle-treated ovariectomized rats in other studies (8, 25, 31). Examining endogenous hormonal effects by cycle stage avoids nonphysiological effects associated with ovariectomy, such as depletion of circulating progesterone. Estrogen and/or progesterone could be responsible for the neuroprotection during proestrus. However, the bulk of current evidence in the literature would favor estrogen. Progesterone has been reported to reduce neuronal damage caused by global ischemia in ovariectomized cats (11) but not following MCAO in ovariectomized rats (21). To date, protective properties of progesterone after MCAO in rats have only been demonstrated in males (18). Given that estradiol treatment wholly reverses the effects of ovariectomy on ischemic damage (35), we propose that estrogen rather than progesterone is the major hormone responsible for protection during proestrus.
Estrogen participates in many cerebral events that may contribute to neuroprotection. Examples include dilatation of cerebral vessels (24), reduction in free radical-induced lipid peroxidation and glutamate toxicity in cell cultures (12), and alteration of the balance between proapoptotic and antiapoptotic genes (15). Other properties of estrogen include modulation of proteins involved in synaptic plasticity (26) and microtubule stability (9), increased expression of neurotrophins (27), and promotion of neurite outgrowth (30). Moreover, estrogen has been shown to directly inhibit N-methyl-D-aspartate receptors (32) and to have anti-inflammatory properties (28). The order of importance of each of these mechanisms in reducing ischemic damage is currently unclear.
On considering the vasodilatory effects of estrogen during cerebral ischemia, several studies demonstrated estrogen-induced cerebral blood flow (CBF) changes (16, 24), whereas a number of others found no evidence for a direct influence on CBF (8, 25). In addition, no change in basal CBF is apparent after ovariectomy (14). We recently demonstrated (4) that the severity and topographical extent of ischemia after MCAO was not different between SHRSP in proestrus and SHRSP in metestrus. This would suggest that flow-independent mechanisms are responsible for the protection against ischemic damage seen in proestrus in the SHRSP.
SHRSP exhibit larger infarcts after an experimental stroke insult than their normotensive counterparts, the WKY (3, 7). Several reasons for this increased stroke sensitivity have been proposed. The ischemia is more severe (6) and glutamate release is higher (10) in SHRSP compared with normotensive rats. In addition, SHRSP have lower superoxide dismutase levels and activity (19), higher levels of lipid peroxidation (17), and an enhanced lipopolysaccharide-induced inflammatory response (13) compared with normotensive rats. It is therefore conceivable that SHRSP may derive greater benefit than WKY from the antioxidant and/or anti-inflammatory effects of estrogen. This may explain why there is a difference in infarct size between metestrus and proestrus in SHRSP but not in WKY. An alternative explanation for the lack of difference in WKY is that SHRSP may require high circulating levels of estrogen (proestrus) to induce protection that is already maximal in metestrus in WKY.
In summary, our results clearly demonstrate that estrous status affects ischemic damage in stroke-sensitive rats. We propose that plasma estrogen levels are responsible for this effect and that flow-independent mechanisms are involved in the neuroprotection.
| |
ACKNOWLEDGEMENTS |
|---|
The authors thank Drs. D. Graham, J. Morton, and D. Gilmore for advice and assistance and S. Keenen, L. Gallagher, J. Stewart, and M. Stewart for technical expertise.
| |
FOOTNOTES |
|---|
This work was supported by the Wellcome Trust (Grant 057306/99), the British Heart Foundation (Grant RG97009), the Cunningham Trust (Grant 97/2), and the Robertson Trust.
The costs of publication of this article were defrayed in part by the payment of page charges. The article must therefore be hereby marked "advertisement" in accordance with 18 U.S.C. §1734 solely to indicate this fact.
Address for reprint requests and other correspondence: H. V. O. Carswell, Wellcome Surgical Inst., Univ. of Glasgow, Glasgow G61 1QH, Scotland, UK (E-mail: hvo1a{at}udcf.gla.ac.uk).
Received 7 September 1999; accepted in final form 18 October 1999.
| |
REFERENCES |
|---|
|
|
|---|
1.
Alkayed, N. J.,
I. Harukuni,
A. S. Kimes,
E. D. London,
R. J. Traystman,
and
P. D. Hurn.
Gender-linked brain injury in experimental stroke.
Stroke
29:
159-166,
1998
2.
Baker, D. E. J.
Reproduction and Breeding.
In: The Laboratory Rat. Biology and Diseases, edited by H. J. Baker,
J. R. Lindsey,
and S. H. Weisbroth. New York: Academic, 1979, vol. 1, p. 153-168. (Am. Coll. Lab. Animal Med. Ser.)
3.
Carswell, H. V. O.,
N. H. Anderson,
J. S. Clark,
D. Graham,
B. Jeffs,
A. F. Dominiczak,
and
I. M. Macrae.
Genetic and gender influences on sensitivity to focal cerebral ischemia in the stroke-prone spontaneously hypertensive rat.
Hypertension
33:
681-685,
1999
4.
Carswell, H. V. O.,
J. J. Morton,
J. McCulloch,
A. F. Dominiczak,
and
I. M. Macrae.
The oestrous cycle and cerebral blood flow after middle cerebral artery occlusion (Abstract).
J. Cereb. Blood Flow Metab.
19:
S496,
1999.
5.
Clark, J. S.,
B. Jeffs,
A. O. Davidson,
W. K. Lee,
N. H. Anderson,
M. Bihoreau,
M. J. Brosnan,
A. M. Devlin,
A. W. Kelman,
K. Lindpainter,
and
A. F. Dominiczak.
Quantitative trait loci in genetically hypertensive rats. Possible sex specificity.
Hypertension
28:
898-906,
1996
6.
Coyle, P.,
and
D. D. Heistad.
Blood flow through cerebral collateral vessels in hypertensive and normotensive rats.
Hypertension
8, Suppl. II:
II-67-II-71,
1986.
7.
Coyle, P.,
and
P. T. Jokelainen.
Differential outcome to middle cerebral artery occlusion in spontaneously hypertensive stroke-prone rats (SHRSP) and Wistar Kyoto (WKY) rats.
Stroke
14:
605-610,
1983
8.
Dubal, D. B.,
M. L. Kashon,
L. C. Pettigrew,
J. M. Ren,
S. P. Finklestein,
S. W. Rau,
and
P. M. Wise.
Estradiol protects against ischemic injury.
J. Cereb. Blood Flow Metab.
18:
1253-1258,
1998[ISI][Medline].
9.
Ferreira, A.,
and
A. Caceres.
Estrogen enhanced neurite growth: evidence of a selective induction of tau and stable microtubules.
J. Neurosci.
11:
392-400,
1991[Abstract].
10.
Gemba, T.,
K. Matsunaga,
and
M. Ueda.
Changes in extracellular concentration of amino acids in the hippocampus during cerebral ischemia in stroke-prone SHR, stroke-resistant SHR and normotensive rats.
Neurosci. Lett.
135:
184-188,
1992[ISI][Medline].
11.
Gonzalez-Vidal, M. D.,
M. Cervera-Gaviria,
R. Ruelas,
A. Escobar,
G. Morali,
and
M. Cervantes.
Progesterone: protective effects on the cat hippocampal neuronal damage due to acute global cerebral ischemia.
Arch. Med. Res.
29:
117-124,
1998[ISI][Medline].
12.
Goodman, Y.,
J. B. Annadora,
B. Cheng,
and
M. P. Mattson.
Estrogens attenuate and corticosterone exacerbates excitotoxicity, oxidative injury and amyloid beta-peptide toxicity in hippocampal neurones.
J. Neurochem.
66:
1836-1844,
1996[ISI][Medline].
13.
Hallenbeck, J. M.,
A. J. Duttka,
S. N. Vogel,
E. Heldman,
D. A. Doron,
and
G. Feuerstein.
Lipopolysaccharide-induced production of tumor necrosis factor activity in rats with and without risk factors for stroke.
Brain Res.
541:
115-120,
1991[ISI][Medline].
14.
Holschneider, D. P.,
and
O. U. Scremin.
Effects of ovariectomy on cerebral blood flow of rats.
Neuroendocrinology
67:
260-268,
1998[ISI][Medline].
15.
Huang, Y.,
S. Ray,
J. C. Reed,
A. M. Ibrado,
C. Tang,
A. Nawabi,
and
K. Bhalla.
Estrogen increased p26Bcl-2 to p21Bax ratios and inhibits taxol-induced apoptosis of human breast cancer MCF-7 cells.
Breast Cancer Res. Treat.
42:
73-81,
1997[ISI][Medline].
16.
Hurn, P. D.,
M. T. Littleton-Kearney,
J. R. Kirsch,
A. M. Dharmarjan,
and
R. J. Traystman.
Postischemic cerebral blood flow recovery in the female: effect of 17
-estradiol.
J. Cereb. Blood Flow Metab.
15:
666-672,
1995[ISI][Medline].
17.
Ito, H.,
M. Torii,
and
T. Suzuki.
A comparative study on lipid peroxidation in cerebral cortex of stroke-prone spontaneously hypertensive and normotensive rats.
Int. J. Biochem.
25:
1801-1805,
1993[ISI][Medline].
18.
Jiang, N.,
M. Chopp,
D. Stein,
and
H. Feit.
Progesterone is neuroprotective after transient middle cerebral artery occlusion in male rats.
Brain Res.
735:
101-107,
1996[ISI][Medline].
19.
Kimoto, S.,
S. Nishida,
K. Funasaka,
T. Nakano,
K. Teramoto,
and
T. T. Tomura.
Regional distribution of superoxide dismutase in the brain and myocardium of the stroke-prone spontaneously hypertensive rat.
Clin. Exp. Pharmacol. Physiol.
22, Suppl. 1:
S160-S161,
1995[Medline].
20.
Konig, J. F. R.,
and
R. A. Klippel.
The Rat Brain. A Stereotaxic Atlas of the Forebrain and Lower Parts of the Brain Stem. New York: Kreiger, 1963.
21.
Murphy, S. J.,
R. J. Traystman,
and
P. D. Hurn.
Progesterone as a potential neuroprotectant in experimental stroke (Abstract).
J. Cereb. Blood Flow Metab.
19:
S192,
1999.
22.
Nequin, L. G.,
J. Alvarez,
and
N. B. Schwartz.
Measurement of serum steroid and gonadotrophin levels and uterine and ovarian variables throughout 4 day and 5 day estrous cycles in the rat.
Biol. Reprod.
20:
659-670,
1979[Abstract].
23.
Okamoto, K.,
Y. Yamori,
and
A. Nagaoka.
Establishment of the SHRSPs (SHR).
Circ. Res.
34-45, Suppl. I:
I-143-I-153,
1974.
24.
Pelligrino, D. A.,
R. Santizo,
V. L. Baughman,
and
Q. Wang.
Cerebral vasodilating capacity during forebrain ischemia: effects of chronic estrogen depletion and repletion and the role of neuronal nitric oxide synthase.
Neuroreport
9:
3285-3291,
1998[ISI][Medline].
25.
Rusa, R.,
N. J. Alkayed,
B. J. Crain,
R. J. Traystman,
A. S. Kimes,
E. D. London,
J. A. Klaus,
and
P. D. Hurn.
17
-Estradiol reduces stroke injury in estrogen-deficient female animals.
Stroke
30:
1665-1670,
1999
26.
Shughrue, P. J.,
and
D. M. Dorsa.
Estrogen modulates the growth-associated protein GAP-43 (neuromodulin) mRNA in the rat pre-optic area and basal hypothalamus.
Neuroendocrinology
57:
439-447,
1993[ISI][Medline].
27.
Singh, M.,
E. M. Meyer,
and
J. W. Simpkins.
The effect of ovariectomy and estradiol replacement on brain-derived neurotrophic factor messenger ribonucleic acid expression in cortical and hippocampal brain region of female Sprague-Dawley rats.
Endocrinology
136:
2320-2324,
1995[Abstract].
28.
Squadrito, F.,
D. Altavilla,
G. Squadrito,
G. M. Campo,
M. Arlotta,
V. Arcoraci,
L. Minutoli,
A. Saitta,
and
A. P. Caputi.
The involvement of tumour necrosis factor-
in the protective effects of 17
-oestradiol in splanchnic ischaemic-reperfusion injury.
Br. J. Pharmacol.
121:
1782-1788,
1997[ISI][Medline].
29.
Tamura, A.,
D. I. Graham,
J. McCulloch,
and
G. M. Teasdale.
Focal cerebral ischemia in the rat: description of technique and early neuropathological consequences following middle cerebral artery occlusion.
J. Cereb. Blood Flow. Metab.
1:
53-60,
1981[ISI][Medline].
30.
Toran-Allerand, C. D.
Organotypic culture of the developing cerebral cortex and hypothalamus: relevance to sexual differentiation.
Psychoneuroendocrinology
16:
7-24,
1991[ISI][Medline].
31.
Wang, Q.,
R. Santizo,
V. L. Baughmanm,
and
D. A. Pelligrino.
Estrogen provides neuroprotection in transient forebrain ischemia through perfusion-independent mechanisms in rats.
Stroke
30:
630-637,
1999
32.
Weaver, C. E.,
M. Park-Chung,
T. T. Gibbs,
and
D. H. Farb.
17
-Estradiol protects against NMDA-induced excitotoxicity by direct inhibition of NMDA receptors.
Brain Res.
761:
338-341,
1997[ISI][Medline].
33.
Wenger, N. K.,
L. Speroff,
and
B. Packard.
Cardiovascular health and disease in women.
N. Engl. J. Med.
329:
247-256,
1993
34.
Yamori, Y.,
R. Horie,
H. Handa,
M. Sato,
and
M. Fukase.
Pathogenetic similarity of strokes in stroke-prone spontaneously hypertensive rats and humans.
Stroke
7:
46-55,
1976
35.
Zhang, Y.,
J. Shi,
G. Rajakumar,
A. L. Day,
and
J. W. Simpkins.
Effects of gender and estradiol treatment on focal brain ischemia.
Brain Res.
784:
321-324,
1998[ISI][Medline].
This article has been cited by other articles:
![]() |
J. W. Simpkins, E. Perez, Xiaofei Wang, ShaoHua Yang, Yi Wen, and M. Singh Review: The potential for estrogens in preventing Alzheimer's disease and vascular dementia Therapeutic Advances in Neurological Disorders, January 1, 2009; 2(1): 31 - 49. [Abstract] [PDF] |
||||
![]() |
S. J. Spencer, M. A. Galic, M. Tsutsui, Q. J. Pittman, and A. Mouihate Effects of Global Cerebral Ischemia in the Pregnant Rat Stroke, March 1, 2008; 39(3): 975 - 982. [Abstract] [Full Text] [PDF] |
||||
![]() |
S. J. Spencer, A. Mouihate, M. A. Galic, and Q. J. Pittman Central and peripheral neuroimmune responses: hyporesponsiveness during pregnancy J. Physiol., January 15, 2008; 586(2): 399 - 406. [Abstract] [Full Text] [PDF] |
||||
![]() |
C. S. Rigsby, A. E. Burch, S. Ogbi, D. M. Pollock, and A. M. Dorrance Intact female stroke-prone hypertensive rats lack responsiveness to mineralocorticoid receptor antagonists Am J Physiol Regulatory Integrative Comp Physiol, October 1, 2007; 293(4): R1754 - R1763. [Abstract] [Full Text] [PDF] |
||||
![]() |
J. W. Simpkins, S.-H. Yang, R. Liu, E. Perez, Z. Y. Cai, D. F. Covey, and P. S. Green Estrogen-Like Compounds for Ischemic Neuroprotection Stroke, November 1, 2004; 35(11_suppl_1): 2648 - 2651. [Abstract] [Full Text] [PDF] |
||||
![]() |
H.V.O. Carswell, I.M. Macrae, L. Gallagher, E. Harrop, and K.J. Horsburgh Neuroprotection by a selective estrogen receptor {beta} agonist in a mouse model of global ischemia Am J Physiol Heart Circ Physiol, October 1, 2004; 287(4): H1501 - H1504. [Abstract] [Full Text] [PDF] |
||||
![]() |
L. D. McCullough, K. Blizzard, E. R. Simpson, O. K. Oz, and P. D. Hurn Aromatase Cytochrome P450 and Extragonadal Estrogen Play a Role in Ischemic Neuroprotection J. Neurosci., September 24, 2003; 23(25): 8701 - 8705. [Abstract] [Full Text] [PDF] |
||||
![]() |
C. T. Stier Jr., P. N. Chander, L. Rosenfeld, and C. A. Powers Estrogen promotes microvascular pathology in female stroke-prone spontaneously hypertensive rats Am J Physiol Endocrinol Metab, July 1, 2003; 285(1): E232 - E239. [Abstract] [Full Text] [PDF] |
||||
| ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| HOME | HELP | FEEDBACK | SUBSCRIPTIONS | ARCHIVE | SEARCH | TABLE OF CONTENTS |
| Visit Other APS Journals Online |