A model of network formation by Physarum plasmodium: Interplay between cell mobility and morphogenesis

The plasmodium of Physarum polycephalum has attracted much attention due its intelligent adaptive behavior. In this study, we constructed a model of the organism and attempted to simulate its locomotion and morphogenetic behavior. By modifying our previous model, we were able to get closer to the actual behavior. We also compared the behavior of the model with that of the real organism, demonstrating remarkable similarity between the two.     

The emergence of synchronization behavior in Physarum polycephalum and its particle approximation

The regeneration process of contractile oscillation in the plasmodium of Physarum polycephalum is investigated experimentally and modelled computationally. When placed in a well, the Physarum cell restructures the body (fusion of small granule-like cells) and shows various complex oscillation patterns. After it completed the restructuring and regained synchronized oscillation within the body, the cell shows bilateral oscillation or rotating wave pattern. This regeneration process did not depend on the well size and all the cases tested here showed similar time course. Phase synchronization analysis based on Hilbert Transform also suggested that the cell can develop a fully synchronized oscillation within a fixed time no matter what the cell size is. A particle-based computational model was developed in order to model the emergence of oscillation patterns. Particles employing very simple and identical sensory and motor behaviors interacted with each other via the sensing and deposition of chemoattractants in a diffusive environment. From a random and almost homogeneous distribution, emergent domains of oscillatory activity emerged. By increasing the sensory radius the model simulated the regeneration process of the real plasmodium. In addition, the model replicated the rotating wave and bilateral oscillation pattern when the sensory radius was increased. The results suggest that complex emergent oscillatory behaviors (and thus the high-level systems which may utilize them, such as pumping and transport mechanisms) may be developed from simple materials inspired by Physarum slime mold.     

Behavior of phosphatase isoforms during sclerotium formation in Physarum polycephalum

The behavior of phosphatase isoforms under dark-starvation from plasmodium of Physarum polycephalum were investigated to determine their possible roles in sclerotium formation. Two and a half days after dark-starvation, approximately 95% of plasmodia plates formed sclerotia. Specific phosphatase activity increased markedly up to ca. two-fold within the first day of starvation, after which the enzymatic activity decreased rapidly to a level less than the initial level within 2 days of the starvation period. Among the two isoforms of enzyme detected just before sclerotization under dark-starvation conditions, the enzymatic activity of the major isoform (Rm value of 0.6) decreased gradually within 1.5 days of starvation, then linearly to less than 20% of that at the beginning of the observation. Those of other major isoform (Rm value of 0.7) increased up to ca. two-fold within the first day of starvation, then decreased linearly to levels less than that of the first 2 days of the starvation period. Behavior of this isoform strongly suggests that it initiates the formation of sclerotium under dark-starvation conditions.     

Differential synthesis of an alkaline endonuclease in Physarum polycephalum

During the sclerotization of microplasmodia of Physarum polycephalum in non-nutrient salt medium or in salt medium supplemented by glucose, RNA or nucleotides a 6-fold increase in the specific activity of an alkaline endonuclease was found within 6 h after the induction. The increase was based on de novo synthesis of the enzyme and it was strongly correlated to the sharp drop in the level of cellular RNA in the first hours of the process of scerotization. The induction in exhausted growth medium or in salt medium supplemented by protein or mannitol showed a gradual 2-3-fold increase of the endonuclease in 30 h, parallel to the gradual decrease of the RNA. No changes in the specific activity of the endonuclease were found during logarithmic growth or under conditions of starvation without the induction to sclerotization.The alkaline, polyA-specific endonuclease could possibly regulate the turnover of RNA.     

A mathematical model for adaptive transport network in path finding by true slime mold

We describe here a mathematical model of the adaptive dynamics of a transport network of the true slime mold Physarum polycephalum, an amoeboid organism that exhibits path-finding behavior in a maze. This organism possesses a network of tubular elements, by means of which nutrients and signals circulate through the plasmodium. When the organism is put in a maze, the network changes its shape to connect two exits by the shortest path. This process of path-finding is attributed to an underlying physiological mechanism: a tube thickens as the flux through it increases. The experimental evidence for this is, however, only qualitative. We constructed a mathematical model of the general form of the tube dynamics. Our model contains a key parameter corresponding to the extent of the feedback regulation between the thickness of a tube and the flux through it. We demonstrate the dependence of the behavior of the model on this parameter.     

Induction of a plasmodial stage of Physarum without plasmalemma invaginations

Experimentally generated protoplasmic drops of Physarum show time-dependent differentiation processes, i.e. regeneration of plasmalemma, actomyosin fibrillogenesis and regeneration of the plasmalemma invagination system. According to Hatano (1970), caffeine treatment of drops results in a pinching off process of small translucent droplets in which specific effects of Ca++ on protoplasmic streaming phenomena were demonstrated. The light and electron microscopic investigation of the original drop reveal that the time-dependent differentiation processes, e.g. actomyosin fibrillogenesis, are not inhibited by caffeine. However, caffeine hinders the regeneration of the plasmalemma invaginations in the original drop (up to a drop age of 30--40 min). The experimental advantage of this stage of Physarum with full vitality, but without plasmalemma invaginations is discussed.     

The role of phosphoinositide-3-kinase in the control of shape and directional movement of the Physarum polycephalum plasmodium

The effects of wortmannin and LY294002, specific inhibitors of phosphoinositide-3-kinase, on the shape, locomotive behavior, and glucose chemotaxis were studied using the Physarum polycephalum plasmodium, a multinuclear amoeboid cell with the self-oscillatory mode of locomotive behavior. Both inhibitors were shown to cause a reduction in the plasmodium frontal edge and a decrease in the efficiency of mass transfer during migration. They also suppressed the chemotaxis towards glucose and eliminated the characteristic changes in self-oscillatory behavior normally observed in response to the treatment of the whole plasmodium with glucose. The manifestation of these effects depended on the inhibitor concentration, treatment duration, and size of plasmodium. The involvement of phosphoinositide-3-kinase in formation of the frontal edge and control of P. polycephalum plasmodium chemotaxis suggests that the correlation of polar shape and directional movement of amoeboid cells with the distribution of phosphoinositides in the plasma membrane has a universal nature.     

The life cycle of mitochondria in the true slime mould,Physarum polycephalum

The cytoplasmic aspects of mitochondrial biogenesis have been the focus of much recent attention and a review is presented here of studies on the life cycle of mitochom dria inPhysarum polycephalum. Such studies have focused predominantly on behavior of the mitochondrial genome throughout the mitochondrial life cycle and have been designed to reveal details about (1) the role of the DNA-membrane complex in the segregation of the mitoehondrial genome; (2) the regulation of mitochondrial activity associated with changes in ptoidy of the mitoehondrial nucleus; (3) the hierarchical pattern of transmission of the mitochondrial genome as it relates to the mating-type locus (matA) during the sexual development; and (4) the fusion of mitoehondria that is promoted by a mitochondrial plasmid. The results of such studies contribute significantly to efforts towards a better understanding not only of the mitochondrial life cycle inP. potycephalum but also of the biogenesis of mitoehondria and plastids in many other organisms. Recipient of the Botanical Society Award for Young Scientists, 1988.     

Functional analysis of actin fibrils in Physarum polycephalum

Summary Fluorochromed heavy meromyosin (TRITC-HMM) was microinjected as a molecular probe into small sandwich-plasmodia of Physarum polycephalum with the aim to demonstrate the spatial morphology and to analyze the dynamic activity of the fibrillar actin system in the living state. The plasmodia display different fibrillar organizations with a polygonal arrangement in the front region (FR) and a parallel or helical arrangement along protoplasmic veins in the intermediate (IR) and uroid region (UR). Quantitative evaluations by measuring the total length, lifetime, dynamic activity, long-term stability and optical density of fibrils reveal distinct differences between the three plasmodial regions: The total length (FR = 27.1 ± 18.5 m, IR = 24.8 ± 12.9 m, UR= 12.3 ± 4.7 m), the lifetime (FR = 12.2 ± 3.4 min, IR=10.5 ± 3.7 min, UR = 6.0 ± 3.4 min), and the dynamic activity as measured in length changes per min (FR = 17.9 ± 11.3 m, IR = 13.1 ± 3.9 m, UR = 8.3 ± 3.9 m) distinctly decrease from the front to the uroid region. On the other hand, the greatest stability as determined by lifetime changes in length (FR = -2.4 ± 16.2 m, IR = 0.3 ± 10.1 m, UR = -6.6 ± 8.9 m) and the highest optical density as expressed in grey-values (FR = 57.0 ± 14.1 gv, IR = 115.6 ± 26.1 gv, UR 62.5 ± 8.1 gv) were found for actomyosin fibrils of the intermediate region. The morphological and physiological data of the present paper are discussed with respect to the biological significance of the fibrillar microfilament system in Physarum polycephalum.     

Physarum myosin light chain one: A potential regulatory factor in cytoplasmic streaming

Summary Physarum myosin is composed of a heavy chain of about 225,000 daltons and two small polypeptides of 17,700 and 16,100 daltons, called light chain one (LC 1) and two (LC 2). Light chain one is shown to belong to the general class of regulating light chains by two independent criteria. After denaturation, purification and renaturation of thePhysarum light chains only LC 1 will combine with scallop myofibrils in which one myosin regulatory light chain has been removed. This LC 1 can restore inhibition of the ATPase activity of the myofibrils at 10^–8 M Ca⁺⁺ just as well as light chains from rabbit skeletal myosin. Secondly, this LC 1 is the only component of the myosin that is significantly phosphorylated by an endogenous kinase present in crude actomyosin. An active phosphatase is also present. Preliminary results could not detect calcium sensitivity for either kinase or phosphatase, nevertheless the importance of phosphorylation in affecting activity of biological systems suggests that LC 1 may serve some regulating function for plasmodial actomyosin.     

Regulation of proteolytic enzymes in axenically grown myxamoebae of Physarum polycephalum

The cultivation of Physarum polycephalum amoebae in two media with different protein contents revealed a regulation of aminopeptidases and proteases depending on the albumin content of the medium: in growing amoebae and plasmodia the aminopeptidases have similar isoenzyme patterns and relative activities against nitroanilides. One alanine and four leucine aminopeptidase isoenzymes were found within the slightly acid pH range. During growth amoebae secrete—different from plasmodia—leucine aminopeptidase into the medium with low protein content. In an albumin-rich medium additional alanine aminopeptidase activity was found. Out of nine plasmodial proteases four were found in amoebae too. Only one band (pI 3.6) was present in the protein-poor medium. No protease activity could be detected in the proteinrich medium.Abbreviations BSA bovine serum albumin - SD semi-defined (medium with low protein content; Table 1) The investigation formed a part of the Ph.D. thesis of A. Haars, Göttingen, 1976     

Induction of synchronous differentiation (encystment) in Physarum polycephalum myxamoebae

Encystment of Physarum polycephalum myxamoebae, grown under nearly identical physiological conditions as plasmodia is induced by transfer to a salts medium containing 0.5 M mannitol or mannose. After 24 h induction approximately 50% of amoebae had differentiated to cells which were identified to be young cysts by light and electron microscopy. Several other polyols, sugars, biogenic amines, and a starvation period from 24 h to one week caused no reproducible cyst formation. In contrast to the formation of dormant forms in the plasmodial stage of the life cycle, the induction of cysts and their germination to amoebae are not inhibited neither by actinomycin C nor by cycloheximide. In addition, the isoenzyme spectra of aminopeptidases and acid proteases remain nearly identical in growing and differentiating amoebae.Abbreviations SD semi-defined BSS basal salts solution The investigation is a part of the Ph. D. thesis of A. Haars, Göttingen, 1976     

Effects of caffeine and D2O on persistence and de novo generation of intrinsic oscillatory contraction automaticity in Physarum

The present investigation was performed in an attempt to contribute to answering the question whether the plasmalemma of the plasmodial stage of Physarum represents the site of a trigger mechanism for the oscillating contraction activity of cytoplasmic actomyosin. The effects of the following substances on persistence of tensiometrically measured longitudinal and radial activities of Physarum veins and on de novo generation of activities in experimentally generated drops were studied: caffeine, theophylline, acetylcholinium chloride, procaine, physostigminium salicylate, iso-ompa, nifedipin, sodium nitroprusside, potassium thiocyanate, D2O; as well as the effects of ions such as La+++ and high outer concentrations of Na+ and K+. Some of the substances were applied simultaneously for comparison externally (by bathing solutions) and internally (by injection). The experimental data speak against the existence of electrogenic rhythmical Ca++, Na+ or K+ pumps across the plasmalemma which could have a triggering function for the oscillation. The contraction activities of the cytoplasmic actomyosin seem to represent a spontaneous endogeneous oscillation which can be modulated via the plasmalemma during chemotaxis.     

Structural and enzymatic characterization of physarolisin (formerly physaropepsin) proves that it is a unique serine-carboxyl proteinase

Previously, we purified and partially characterized physarolisin, a lysosomal acid proteinase from Physarum polycephalum, which had been suggested to be concerned with the morphological changes of the mold. In this study, a cDNA for the enzyme was cloned and sequenced, and the structural and enzymatic features were investigated. The enzyme shows a sequence similarity to the serine-carboxyl proteinase family (MEROPS S53). Indeed, diisopropylfluorophosphate (DFP) was shown to strongly inhibit the activity of the enzyme. However, the enzyme possesses several unique features distinct from the other members of the family, such as the two-chain structure and inhibition by diazoacetyl-D,L-norleucine methyl ester (DAN). The sites and mode of processing of the precursor to the mature enzyme were deduced, and the major DAN-reactive residue in the enzyme was identified to be Asp529. These features were suggested to be due to the unique local tertiary structure of the enzyme by molecular modeling. We now propose the name physarolisin for the enzyme.     

Rebuilding Iberian motorways with slime mould

Plasmodium of a cellular slime mould Physarum polycephalum is a unique living substrate proved to be efficient in solving many computational problems with natural spatial parallelism. The plasmodium solves a problem represented by a configuration of source of nutrients by building an efficient foraging and intra-cellular transportation network. The transportation networks developed by the plasmodium are similar to transport networks built by social insects and simulated trails in multi-agent societies. In the paper we are attempting to answer the question "How close plasmodium of P. polycephalum approximates man-made motorway networks in Spain and Portugal, and what are the differences between existing motorway structure and plasmodium network of protoplasmic tubes?". We cut agar plates in a shape of Iberian peninsula, place oat flakes at the sites of major urban areas and analyse the foraging network developed. We compare the plasmodium network with principle motorways and also analyse man-made and plasmodium networks in a framework of planar proximity graphs.     

Controlling the geometry and the coupling strength of the oscillator system in plasmodium ofPhysarum polycephalum by microfabricated structure

Summary The plasmodium of the true slime moldPhysarum polycephalum, which shows various oscillatory phenomena, can be regarded as a collective of nonlinear oscillators. Partial bodies in the plasmodium, which are assumed to be nonlinear oscillators, are mutually connected by microscale tubes named plasmodial strand. The interactions among the oscillators can be strongly affected by the geometry and the dimension of the tube network. Investigation of the collective behavior under the condition that the configuration of the network can be manipulated gives significant information on the characteristics of the plasmodium from the viewpoint of nonlinear dynamics. In this study, we have developed a new method to control the geometry and the tube dimension of the plasmodium with a microfabricated structure. It is shown that the geometry of the plasmodium can be manipulated with a microstructure which is fabricated of ultrathick photoresist resin by photolithographic processes. In order to confirm that not only the geometry but also the dimension of the tubes can be controlled with the microstructure, we observed the cross section of the patterned plasmodium with a three-dimensional internal-structure microscope. By observing the oscillatory behavior of the partial bodies of the patterned plasmodium, it was confirmed that the coupling strength between two oscillators, which corresponds to the dimension of the plasmodial strand, can be controlled by the microstructure. It is concluded that the present method is suitable for further studies of the network of Physarum plasmodium as a collective nonlinear oscillator system.