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Growth, Differentiation and Sexuality

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with cytochalasin D (inhibiting actin polymerization)<br />

causes a 4-h delay of the gravitropic bending,<br />

whereas rhodamin-phalloidin (inhibiting actin<br />

depolymerization) enhances the gravitropic bending<br />

rate, <strong>and</strong> sometimes also the bending angle<br />

(Edwards et al. 1997). Gadolinium chloride, an inhibitor<br />

of plant gravitropism <strong>and</strong> stretch-activated<br />

ion channels, delays the onset of gravitropism <strong>and</strong><br />

diminishes gravitropic curvature. An asymmetric<br />

application of gadolinium, Ca 2+ -chelators, <strong>and</strong><br />

compound 48/80 (inhibiting calmoduline) to<br />

the growing zone of the sporangiophore elicits<br />

curvature toward the side to which the inhibitors<br />

were applied (Stecker et al. 1990; Edwards 1991).<br />

These results suggest that gravitropic curvature<br />

requires the participation of the cytoskeleton, <strong>and</strong><br />

entails a redistribution of Ca 2+ <strong>and</strong> calmodulin.<br />

4. Sine Law <strong>and</strong> Exponential Law<br />

Gravitropic bending of shoots <strong>and</strong> roots of plants<br />

obeys the so-called sine rule or sine law (Sachs<br />

1879), which states that the gravitropic stimulus<br />

canbedescribedbytherelation:<br />

S = g × sin γ (13.4)<br />

where S is the gravitropic stimulus, g the earth<br />

gravitational acceleration (9.81 m/s 2 ), <strong>and</strong> γ the inclination<br />

angle ( ◦ ) of the plant organ.<br />

Sporangiophores of Phycomyces obey this<br />

classical sine law (Gall<strong>and</strong> et al. 2002). When sporangiophores<br />

are irradiated unilaterally, they bend<br />

toward the light source <strong>and</strong> a photogravitropic<br />

equilibrium is established. The photogravitropic<br />

bending angle is the result of two antagonistic<br />

responses, i.e., positive phototropism <strong>and</strong> negative<br />

gravitropism. The irradiance of unilateral light<br />

required to compensate the ensuing gravitropic<br />

response is well described by a novel exponential<br />

law (Grolig et al. 2000; Gall<strong>and</strong> et al. 2002):<br />

I = I0 exp −(kλ g sin γ) (13.5)<br />

where I is the irradiance of the unilateral light that<br />

compensates the gravitropic response elicited at an<br />

inclination angle γ, I0 the absolute threshold irradiance<br />

(ca. 10 −9 W/m 2 , 450 nm), kλ a wavelengthdependent<br />

constant, g the earth’s gravitational<br />

acceleration, <strong>and</strong> γ the inclination angle of the<br />

sporangiophore (deviation from the vertical). The<br />

exponential law states that the light intensity that<br />

compensates a gravitropic stimulus needs to be<br />

raised exponentially when the gravitropic stimulus<br />

Photomorphogenesis <strong>and</strong> Gravitropism 251<br />

(g sin γ) is raised linearly. Because this novel law<br />

is valid also for coleoptiles of Avena, it appears to<br />

describe a universal relationship in the interaction<br />

of gravi- <strong>and</strong> phototropic stimuli (Gall<strong>and</strong> 2002).<br />

5. Gravitropism Mutants<br />

Mutants of Phycomyces with defects in the<br />

genes madD,E,F,G,J are gravitropically partially<br />

defective (so-called stiff mutants). They are<br />

highly pleiotropic, because they show reduced<br />

light-growth <strong>and</strong> phototropic responses, <strong>and</strong><br />

a reduced avoidance response (Bergman et al.<br />

1973; Campuzano et al. 1996). Mycelial responses<br />

such as photocarotenogenesis <strong>and</strong> photoinitiation<br />

of sporangiophores are, however, unaffected (see<br />

above). System analysis employing Wiener white<br />

noise or sum-of-sinusoid stimuli showed that<br />

these mutants have a lower gain than do the corresponding<br />

wild-type strains or mutants that are<br />

affected only in the phototropism genes madA-C<br />

(Lipson 1975; Palit et al. 1989). The threshold for<br />

photogravitropic equilibrium is raised at least<br />

6 orders of magnitude, <strong>and</strong> the corresponding<br />

action spectra are highly abnormal, a feature<br />

indicating that these mutations directly affect the<br />

photoreceptor system (Campuzano et al. 1996).<br />

The various features indicate that (1) the photoreceptor<br />

system is affected in these gravitropism<br />

mutants, (2) photo- <strong>and</strong> graviperception interact<br />

at early steps of the transduction chain, <strong>and</strong> (3)<br />

the madD,E,F,G gene products interact with those<br />

of the madA,B,C gene products.<br />

Another class of mutants with defects in the<br />

gene madH show enhanced gravitropic <strong>and</strong> phototropic<br />

bending, <strong>and</strong> also an enhanced avoidance<br />

response (Lipson et al. 1983; López-Díaz <strong>and</strong> Lipson<br />

1983). Although the locations of the corresponding<br />

mad genes on the genetic map of Phycomyces have<br />

been determined (Alvarez et al. 1992), their molecular<br />

nature remains unknown.<br />

E. Glomeromycota<br />

Hyphae of the endomycorrhizal fungus Gigaspora<br />

margarita display either negative or positive<br />

gravitropism. The germ tubes grow upward<br />

(negative gravitropism) whereas secondary (i.e.,<br />

branching) hyphae, which are the sites for the<br />

formation of enichulate vesicles, grow downward<br />

(positive gravitropism; Watrud et al. 1977; Hong<br />

et al. 2001). Calcium, an important signal element

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