A fundamental question in nutritional biology is how distributed systems maintain an optimal supply of multiple nutrients essential for life and reproduction. In the case of animals, the nutritional requirements of the cells within the body are coordinated by the brain in neural and chemical dialogue with sensory systems and peripheral organs. At the level of an insect society, the requirements for the entire colony are met by the foraging efforts of a minority of workers responding to cues emanating from the brood. Both examples involve components specialized to deal with nutrient supply and demand (brains and peripheral organs, foragers and brood). However, some of the most species-rich, largest, and ecologically significant heterotrophic organisms on earth, such as the vast mycelial networks of fungi, comprise distributed networks without specialized centers: How do these organisms coordinate the search for multiple nutrients? We address this question in the acellular slime mold Physarum polycephalum and show that this extraordinary organism can make complex nutritional decisions, despite lacking a coordination center and comprising only a single vast multinucleate cell. We show that a single slime mold is able to grow to contact patches of different nutrient quality in the precise proportions necessary to compose an optimal diet. That such organisms have the capacity to maintain the balance of carbon-and nitrogen-based nutrients by selective foraging has considerable implications not only for our understanding of nutrient balancing in distributed systems but for the functional ecology of soils, nutrient cycling, and carbon sequestration. acellular slime mold | complexity | geometrical framework | nutrition | Physarum polycephalum P lasmodia of Physarum polycephalum are single multinucleate cells extending up to hundreds of square centimeters. Cytoplasm streams rhythmically back and forth through a network of tubular elements, circulating nutrients and chemical signals and forming pseudopods that allow the organism to navigate around and respond to its environment. Plasmodia are distributed information processors, which, for example, can find the shortest route through a maze to locate food (1), anticipate the timing of periodic events (2), and solve multiobjective foraging problems (3).Under adequate nutrition, P. polycephalum plasmodia are completely sedentary and grow steadily (4, 5), but on nonnutrient substrates, they migrate a few centimeters per hour (6), directed by external stimuli, including gradients of nutrients such as sugars and proteins (7-12). When two or more identical food sources are presented at various positions to a starved plasmodium, it optimizes the shape of the network to facilitate effective absorption of nutrients (1), and plasmodia select the higher concentration patch of two patches differing in nutrient concentration (3). Can it solve complex nutrient balancing problems by altering its growth form and movement to maintain an optimal ratio of macronutrients in the face of variati...