Physarum Wires: Living Bioelectronic Networks
- Physarum wires are self-assembled, living conductive pathways formed by the slime mould, characterized by dynamic morphogenesis, self-repair, and high resistance.
- They are patterned using chemoattractants, electrical fields, and phototactic cues to form precise, reconfigurable networks with controlled growth rates and dimensions.
- Hybridization with conductive nanoparticles enables tunable electrical properties, including adjustable resistance, memristance, and RC low-pass filter behavior for bioelectronic applications.
Physarum wires are self-assembled, living conductive pathways formed by the protoplasmic tubes of the acellular slime mould Physarum polycephalum. Exploited as high-resistance, self-repairing wiring elements in unconventional computing and hybrid bioelectronic circuits, Physarum wires exhibit dynamic, adaptive morphogenesis, intrinsic oscillatory behavior, memristance, and functional tunability via nanoparticle hybridisation. Their unique combination of biophysical, electrical, and self-healing properties enables a range of applications where conventional metallic wires are unsuitable or where reconfigurable, disposable, or biocompatible device architectures are required.
1. Formation and Patterning of Physarum Wires
Physarum wires (PWs) are established when protoplasmic tubes are guided to grow between user-defined nodes—typically agar islands with nutrient or electrode targets—on substrates such as Petri dishes, breadboards, printed circuit boards, or microfluidic channels. Growth is programmed using chemoattractants (oat flakes, herbal tablets), chemorepellents (NaCl, volatile organics), electrical fields (galvanotaxis), or phototactic stimuli (Adamatzky, 2013, Costello et al., 2013, Tsuda et al., 2012, Adamatzky, 2015).
The standard fabrication protocol involves:
- Placing two agar hemispheres 10 mm apart on planar electrodes in a 90 mm Petri dish.
- Inoculating one agar blob with plasmodium and depositing an attractant (e.g., oat flake) on the other, thereby promoting growth and bridging the gap with a single tube of diameter 100–300 μm and length ~10 mm (Adamatzky, 2014).
- Alternative geometries exploit microfabricated PDMS channels (0.5–1 mm wide, filled with agar) or electrode arrays for routing, fine-scale patterning, and confinement (Whiting et al., 2014, Tsuda et al., 2012).
- Growth rates range from 1–5 mm/h, enabling connections across 10–20 mm gaps within 6–20 hours (Adamatzky, 2015, Adamatzky, 2013).
Pseudopodia sense and migrate towards spatial gradients of attractants; negative electrotaxis toward current sinks enables electrical field-driven routing (Tsuda et al., 2012). Combining attractant/repellent patterns yields arbitrarily routed, branched, or split networks, nor is connectivity limited to planar substrates—PWs have been demonstrated on breadboards, conventional PCBs, and even 3D-printed scaffolds (Adamatzky, 2013, Whiting et al., 2015).
2. Electrical and Oscillatory Properties
Physarum wires exhibit high, dynamically variable ohmic resistance, with additional low-frequency conductance oscillations superimposed due to peristaltic contractile activity:
- DC resistance: 2–3 MΩ per 1 cm tube (mean 3.0 MΩ, σ ≈ 0.7 MΩ over N=22 tubes, 10 mm, 100–300 μm diameter) (Adamatzky, 2014, Whiting et al., 2015, Adamatzky, 2015).
- Resistance per unit length: R′ ≈ 300 kΩ mm⁻¹ (Adamatzky, 2014).
- Resistivity: empirical distribution 80–2560 Ω·cm (mean ≈825 Ω·cm), comparable to vertebrate muscle (Adamatzky, 2013).
- Oscillatory modulation: ΔR ≈ 0.59 MΩ (20% of mean), mean period T ≈ 73 s (f_avg = 0.014 Hz), stable for >70% of at least 30 min, with tunability via light, chemical, or tactile cues (Adamatzky, 2014, Adamatzky, 2015).
- Frequency response: acts as an RC low-pass filter with cutoff f_c ≈ 19 kHz (τ = 1/(2π f_c)); signals above 19 kHz are attenuated (Whiting et al., 2015, Whiting et al., 2014).
- I–V characteristics are ohmic up to 15 V; V_out,avg ≅ 0.81·V_in, R² ≈ 0.99; no strong non-Ohmic behavior observed (Adamatzky, 2014, Adamatzky, 2013).
- High-impedance transmission restricts current capacity (μA range); practical data lines (I²C, audio) operate at ≤19 kHz with error-free digital transmission up to 19,200 Bd (Whiting et al., 2015).
Intrinsic peristaltic oscillations (period 50–200 s) also manifest as voltage oscillations (amplitude 0.5–0.9 mV) and are observable in biological current signals (Mayne et al., 2013, Adamatzky, 2014).
3. Routing, Reconfiguration, and Self-Repair
PW routing can be systematically controlled by spatially distributed chemoattractants and repellents, gradient formation, electric fields (negative electrotaxis), and in microfluidic or microstructured channels (Costello et al., 2013, Tsuda et al., 2012, Whiting et al., 2014). Reliability of routing at simple T-junctions is 90% for directed connections, 80% for signal splitting, and 100% for suppression or randomization (chemotactic error rates and signal latency: 24–48 h) (Costello et al., 2013). Growth protocols are amendable to multi-junction cascades, but error magnification and loss of confinement accrue with depth. Environmental control (temperature, humidity, gradient stabilization) increases repeatability.
Self-repairing behavior is robust across platforms:
- Upon mechanical severing, cytoplasm extrudes from each cut end, forming new growth zones; tube re-fusion and restoration of electrical continuity occurs within 2–9 h (mean 6–9 h) (Adamatzky, 2013, Whiting et al., 2015, Adamatzky, 2015).
- Reconnection is automatic, does not require user intervention, and restores conductance to pre-cut levels (provided substrate moisture and nutrient supply are maintained).
- Volatility and stability: tubes last 3–7 days under ambient conditions; longevity extends to ~8 weeks with cold storage (6–12°C), high humidity, weekly oat feeding, and parafilm sealing (Whiting et al., 2015).
Self-growing and self-healing PWs enable repeated circuit reconfiguration: withdrawal of attractants leads to tube atrophy; application of new cues establishes alternate interconnect topologies within hours (Adamatzky, 2015, Adamatzky, 2013).
4. Functionalization and Hybridization with Nanoparticles
The electrical and functional properties of Physarum wires can be drastically tuned via in vivo hybridization with a range of conductive nanoparticles (NPs):
- Magnetite (Fe₃O₄, 100–200 nm), WO₃ (100 nm), ZnO (100 nm), gold (Au, 5–200 nm): internalized selectively into the endoplasm or deposited in ectoplasm/slime layer (Mayne et al., 2013, Mayne et al., 2013, Gizzie et al., 2015).
- Electrical effect: Fe₃O₄ yields R_empty ~0.88 MΩ for a 10 mm tube (from >500 MΩ in control), with WO₃ at 63.5 MΩ (Mayne et al., 2013).
- Gold NP hybridization (200 nm, unfunctionalized) reduces Radj by 54% (Physarum) and 82% (lettuce seedlings): R_Physarum,control = 1.85 MΩ; R_Au,200 nm = 0.85 MΩ (Gizzie et al., 2015).
- Functionalized “semi-wires” (half- or regionally loaded) enable programmable resistance domains for analog division and gating (Whiting et al., 2015).
- Theoretical models (Maxwell–Garnett, percolation): effective conductivity is highly sensitive to NP loading fraction; percolation threshold behavior is evident in the abrupt R reduction for high-mass, high-conductivity NP decoration (Mayne et al., 2013).
- WO₃- and ZnO-hybridized PWs demonstrate photoconduction; light increases σ by ~20%, enabling optoelectronic gating (Mayne et al., 2013).
- Magnetite NPs support memristive dynamics; hybrid plasmodia can be configured as adaptive, learning resistive networks (Mayne et al., 2013).
- Practical enhancements with NPs yield dose-tunable resistors (down to 18 kΩ), programmable in situ via pipetted suspensions and cytoplasmic streaming (Whiting et al., 2015).
Toxicological effects: biocompatibility is high for unfunctionalised Au/Fe₃O₄ up to tested concentrations; some surface coatings (e.g., spiropyran-Au, diglyme vehicle) exhibit elevated cytotoxicity and increased failure rates (Gizzie et al., 2015).
5. Circuit Integration, Logic, and Signal Processing
PWs serve as macroscopic wire analogs, RC elements, or AC filters, and can be directly integrated into hybrid biological/electronic circuits:
- Ohmic wiring: voltage dividers using two PWs in series yield V_out within 12% of ideal predictions over 1–12 V, R²>0.99 (Whiting et al., 2015).
- Analog/digital transmission: I²C communication at 19,200 Bd without error; low-distortion analog signals up to 19 kHz are passed with <3 dB attenuation (Whiting et al., 2015).
- RC signal filtering: single-pole roll-off V_out(f)/V_in = 1/√[1+(f/f_c)2] with f_c ≈ 19 kHz; AC integration behavior at higher frequencies (Whiting et al., 2014).
- Heat-activated switching: tubes transition from R₀=2.3 MΩ at 22 °C to R_hot=10,000 MΩ at 40 °C; thermal actuation behaves as a “thermic switch” (not a proportional thermistor), enabling NAND, AND, and SR-latch implementation with analog voltage divider and comparator–relay circuit cascades. Propagation delays are ~20–400 s, comparable to slow analog logic but far slower than CMOS (Walter et al., 2015).
- Logic gates via frequency encoding: logic is encoded by thresholding oscillation frequency in response to controlled light, heat, or chemical cues. AND/NAND logic: 90% accuracy; OR/NOR: 78%; XOR: 71%, in unit-gate tests; half-adder: 65% (Whiting et al., 2014).
- Potential divider and memristive behavior: Chua-type memristance observed in slow-sweep I–V; pinched hysteresis at low frequencies (Adamatzky, 2015).
- Integrated measurement/load: buffer amplification is required to source high currents (10–100 mA) to drive LEDs or speakers (Whiting et al., 2015).
- Power consideration: steady-state operation is in the μW–nW power regime, compatible with ultra-low-power platforms (Whiting et al., 2015).
6. Limitations, Stability, and Environmental Sensitivities
While PWs present unique advantages, several practical and experimental limitations constrain their utility:
- High resistance and low current throughput (kΩ–MΩ, μA range); unsuitable for power delivery (Adamatzky, 2015, Whiting et al., 2015).
- Slow growth and repair (hours to days); unsuited for real-time reconfiguration in computational contexts (Adamatzky, 2013, Walter et al., 2015).
- Environmental sensitivity: continuous high humidity (>90%), moderate temperature (20–25 °C), and darkness or red light are required for viability; desiccation or nutrient exhaustion limits operation to ~1 week (ambient) or ~2 months (cold, humid, fed) (Whiting et al., 2015).
- Variability: resistance dispersion of 20–30% in nominally identical tubes; oscillation amplitude and period similarly variable depending on physiological state (Adamatzky, 2014, Whiting et al., 2014).
- Baseline drift and unwanted branching may cause unpredictable circuit behavior; active inhibition (chemical, photonic) and baseline compensation are often necessary (Adamatzky, 2014, Adamatzky, 2015).
- Scaling and miniaturization are primarily limited by tube diameter (~100 μm) and growth precision; microfluidic confinement and patterned stimuli offer partial solutions (Whiting et al., 2014, Costello et al., 2013).
- Lifetime: conductance stability decays beyond one week if environmental and metabolic supports are not maintained (Whiting et al., 2015, Adamatzky, 2013).
7. Applications and Future Prospects
Physarum wires are targeted for unconventional, low-speed, adaptive circuitry:
- Hybrid bio-electronic interconnects on soft, flexible, or 3D substrates; demonstrated up to 15 cm in Y or parallel arrays (Whiting et al., 2015).
- Self-healing, self-configuring sensor networks in environments where maintenance or access is limited (Whiting et al., 2015, Adamatzky, 2015).
- Biomedical devices: high resistance and self-repair promote use in safe, low-frequency sensing (EEG/ECG) (Whiting et al., 2015).
- Disposable environmental or chemical sensors leveraging memristive, oscillatory, or photoconductive modes (Adamatzky, 2015, Mayne et al., 2013).
- Living logic/network circuits: demonstration of logic gates, flip-flop latches, analog summators, and learning memristive arrays (Walter et al., 2015, Whiting et al., 2014).
- Substrates for mineralised, permanent wiring: abandoned, NP-enriched tubes can function as polymerized conductors (Mayne et al., 2013).
- Organic/neural/evolutionary circuit emulation: PWs as study platforms for network morphogenesis, percolation, and self-optimization (Adamatzky, 2015, Whiting et al., 2015).
Advances in NP hybridization, microfluidic patterning, and environmental control are active areas; prospects include living reconfigurable circuits, biohybrid robots, and adaptive sensor arrays. Limitations of speed, impedance, and environmental robustness remain central foci of ongoing empirical and theoretical work.
Key References:
(Adamatzky, 2014, Adamatzky, 2013, Whiting et al., 2015, Whiting et al., 2014, Walter et al., 2015, Mayne et al., 2013, Costello et al., 2013, Gizzie et al., 2015, Tsuda et al., 2012, Adamatzky, 2015)