Attempting a toy model of vertebrate understanding

Tag: chimera

Essay 24: Phototaxis – apical locomotion

Although the previous essays have focused on bilateral locomotion in the style of Braitenberg machines, the chimaera brain hypothesis [Tosches and Adrendt 2013] suggests a distinct apical form of locomotion. The chimaera brain hypothesis suggests that bilaterian brains are the merger of an apical nervous system from the ancestral zooplankton larva state and a blastoporal (bilateral) nervous system from paired muscles along the spinal cord. The apical area contains unpaired light and chemical sensors and the blastoporal area contains bilateral, topographic somatic sense like touch. Apical navigation require a temporal gradient, calculated by sequential sampling because the apical senses are non-directional.

Apical unpaired light sensors and bilateral paired touch sensors in the chimaera brain.

The essays’ simulation scenario is a temporal phototaxis based on the real-time place preference (RTPP) experiments of [Chen et al 2014], where a zebrafish stayed inside a virtual light circle, avoiding surrounding dark area. Temporal phototaxis is gradient-based locomotion, heading toward light and away from darkness by comparing light samples at different times.

Chimaera locomotor

The vertebrate paired eye and paired olfaction are late vertebrate developments. The pre-vertebrate animal amphioxus has only a single frontal eye. Since pre-paired sense animals needed to navigate toward opportunities and away from threats, it’s conceivable that apical random-walk navigation developed before visual navigation.

Dual navigation system based on both temporal gradient-based random walks and bilateral spatial gradient navigation.

Apical gradient

The apical area contains undirected light and chemical sensors. The apical area is based on the zooplankton larval state as shown below, while the bilateral area is based on bilateral worm-like adults structured like the spinal cord of paired muscles and neurons.

Apical zooplankton with cilia navigation.
Apical zooplankton larva. Note the single sensor on top.

Apical navigation requires following a temporal gradient, calculated by sequential sampling. While bilateral areas can compare left and right senses to calculate a spatial gradient, the single apical sense is restricted to a temporal gradient.

Bacteria tumble and run

Even simple bacteria can follow gradients using a directed random walk strategy called tumble and run [Segall et al 1986]. The bacteria’s flagella have two modes: tumble, turning without moving, and run, moving forward without turning. By alternating tumble with run, the bacteria can search with a random walk. By extending the run phase when the gradient improves, the bacteria can move toward the target.

Importantly, a temporal gradient calculation needs some sort of memory, accumulator or integrator to compare the current value to recent values. In bacteria, tis accumulator is an internal chemical quantity.

Different turning behavior depending on the gradient. Sharp turns moving into darkness and straight movement into light.

Apical and bilateral sensors

Amphioxus is a pre-vertebrate chordate that’s studied to understand vertebrate evolution. Amphioxus does not have a paired eye, instead it has a single frontal eye that amphioxus uses to orient vertically, and also a pineal-like photoreceptor [Lacalli 2020].

Chimera sense. Paired bilateral touch and unpaired apical photosensors.

The pineal region is near the vertebrate habenula. Amphioxus does not have a habenula, but it does have a nearby motor control neuron, LPN3, with similar genetic markers [Bozzo et al 2023]. Modern vertebrate medial habenula receives undirected light input from the retina, but it seems plausible that an early habenula used the pineal photosensor because both are part of the same epithalamus complex, and only later connected to the newly-paired retina when it developed.

Multiple apical regions

Before diving into the vertebrate areas for apical locomotion, I need to explain why widespread areas can all be apical, including midbrain and hindbrain areas. Vertebrates had two rounds of whole genome duplication [Dehal and Moore 2005], which gives an easy evolutionary opportunity for four apical areas from the genome duplication, in addition to other possible duplications. The xenobot experiments [Blackiston et al 2023] shows that biology can mix multiple copies like the split apical area into a coherent animal: development can be flexible.

Functional vertebrate brain model showing apical areas as marked by fgf8 development transcription factor.

The diagram above is a functional representation of the vertebrate brain with possible apical areas highlighted in blue. Fgf8 is a development growth factor associated with the apical area [Marlow et al 2014]. The four (or five) possible apical area are as follows:

  • Prefrontal cortex and olfactory bulb.
  • The caudal isthmus area (r1) at the midbrain-hindbrain boundary, including cerebellum (CB), interpeduncular nucleus (M.ip), midbrain locomotor (MLR, M.ppt, M.ldt), head direction (B.dtg), parabrachial (B.pb), and part of the substantia nigra (Snr).
  • Habenula (Hb) and pre-thalamic eminence area (P.em) near ZLI. Also, between the septum-diagonal band (P.msdb) and preoptic area (Poa) near the optic (retina) region (R).
  • The mammilary and supramammilary area of the hypothalamus (H.mb and H.sum).

I’ve listed four regions instead of the five blue areas because the Hb-P.em-P.msdb area are physical closer than the diagram suggests, are split more by the alar/basal division than distance, and is complicated by distortions from the paired optic region.

This essay uses functions from the r1 isthmus area (M.ip and MLR.α / M.ldt), and from the habenula / retinal area (Hb.m, P.em, pineal, and retina). The logic behind their connectivity is a function split-and-pull like taffy or continental drift from a single pre-duplication area, for example, the isthmus apical area duplicating from an original pre-hypothalamus / retinal apical area.

As a note, the supramammilary area (H.sum) is highly connected with the area in this essay, but I’m postponing exploring its functionality for now.

Vertebrate apical and bilateral locomotor

Previously the essays used the bilateral locomotor path, going through the Vta (posterior tuberculum), tectum (OT), and midbrain locomotive region (MLR). The apical path runs through the medial habenula (Hb.m) and the interpeduncular nucleus (M.ip) before reaching the motor neurons.

Bilateral and apical locomotive paths. B.ll lateral line, B.rs reticulospinal motor neurons, B.ss somatosensory, Hb.m medial habenula, M.ip interpeduncular nucleus, MLR midbrain locomotive region, OT optic tectum, V.mr median raphe, 5HT serotonin.

The lamprey’s Hb.m supports locomotion for light, odor, and the lateral line [Stephenson-Jones et al 2012]. The lateral line is an aquatic sense for water flow, which allows fish to sense nearby objects. Although the exact functional division of phototaxis isn’t known, Hb.m, M.ip and the serotonin raphe nuclei (V.mr – 5HT) are all required [Cheng et al 2016].

For the essay’s simulation, I’m asking the integration and running average to the V.mr and 5HT, but this is something of a guess, because phototaxis integration hasn’t been measured. In the essay’s model, M.ip translates the light data and 5HT average into a gradient and into action.

Phototaxis actions

When zebrafish enter darkness from light, they immediately produce a large turn (O-bend) and start an area restricted search (ARS) [Fernandes et al 2012]. Later turns are smaller [Chen and Engert 2014].

For the essay, phototaxis gradient modifies the standard random walk. When entering darkness, M.ip increases the turn angle. When entering light, M.ip increases forward movement, extending the run.

Essay simulation showing the animal returning to light from darkness. The graph shows the gradient change when crossing the darkness boundary.

The above screenshot shows the animal crossing into darkness and returning to light. In the graph, “light” is the current photosensor value, “avg” is the running average measured by serotonin neurons, and “grad” is the different between the two. A gradient drop triggers high angle turns. A gradient rise triggers straight movement.

As the heat map in the right shows, this simple system produces real-time place avoidance (RTPA) of darkness. Since the system has no learning, there’s no conditioned place aversion (CPA).

Prethalamic eminence

The full phototaxis circuit in vertebrates is a bit more complicated because light input does through an intermediate area called the pre-thalamic eminence (P.em), which is between the habenula, hypothalamus and thalamus, and it one of the apical areas. Although P.em is not cortical, it provides neurons necessary for cortical development (Cajal-Retzius neurons for L1 patterning) [Marin-Padilla 2015] and neurons for habenula input, the habenula-projecting pallidum (P.hb) [Stephenson-Jones 2016].

Apical navigation paths, simplified in lamprey and extended in mammals. E.hc hippocampus, Hb.m medial habenula, M.ip interpeduncular nucleus, MLR midbrain locomotive region, Ob olfactory bulb, P.em pre-thalamic eminence, P.hb habenula projecting pallidum, R.gc retina ganglion cells.

Retina input goes through P.em to Hb.m for phototaxis. Interestingly, the main input for Hb.m in mammals is via cells that migrate from P.em and become the posterior septum (P.ps) [Watanabe et al 2018], which receives almost all of its input from the hippocampus (E.hc). If the hippocampus is an odor-processing system, then the olfactory bulb (Ob) to E.hc to Hb.m path is a chemotaxis path matching the retina’s phototaxis path.

Note that the olfactory placed develops from the lens placed and is differentiated by fgf8 [Bailey et al 2006]. So, it’s pleasing that the similar olfactory and hippocampal paths to Hb.m is a are chemotaxis and phototaxis paths split from a common ancestor.

Speculation

Although the lateral and medial habenula are chemically, connectional, and developmentally distinct, their broad similarity is interesting. If the medial habenula supports direct, concrete sensory navigation by gradient descent, perhaps the medial habenula supports more abstract value-based navigation for more abstract goals.

References

Alonso A, Trujillo CM, Puelles L. Quail-chick grafting experiments corroborate that Tbr1-positive eminential prethalamic neurons migrate along three streams into hypothalamus, subpallium and septocommissural areas. Brain Struct Funct. 2021 Apr;226(3):759-785.

Bailey AP, Bhattacharyya S, Bronner-Fraser M, Streit A. Lens specification is the ground state of all sensory placodes, from which FGF promotes olfactory identity. Dev Cell. 2006 Oct;11(4):505-17. 

Blackiston D, Kriegman S, Bongard J, Levin M. Biological Robots: Perspectives on an Emerging Interdisciplinary Field. Soft Robot. 2023 Aug;10(4):674-686. 

Bozzo M, Bellitto D, Amaroli A, Ferrando S, Schubert M, Candiani S. Retinoic Acid and POU Genes in Developing Amphioxus: A Focus on Neural Development. Cells. 2023 Feb 14;12(4):614.

Chen X, Engert F. Navigational strategies underlying phototaxis in larval zebrafish. Front Syst Neurosci. 2014 Mar 25;8:39.

Cheng RK, Krishnan S, Jesuthasan S. Activation and inhibition of tph2 serotonergic neurons operate in tandem to influence larval zebrafish preference for light over darkness. Sci Rep. 2016 Feb 12;6:20788. 

Dehal P, Boore JL. Two rounds of whole genome duplication in the ancestral vertebrate. PLoS Biol. 2005 Oct;3(10):e314. 

Fernandes A. M., Fero K., Arrenberg A. B., Bergeron S. A., Driever W., Burgess H. A. (2012). Deep brain photoreceptors control light-seeking behavior in zebrafish larvae. Curr. Biol. 22, 2042–2047

Lacalli Thurston 2022 An evolutionary perspective on chordate brain organization and function: insights from amphioxus, and the problem of sentience Phil. Trans. R. Soc.

Marín-Padilla M. Human cerebral cortex Cajal-Retzius neuron: development, structure and function. A Golgi study. Front Neuroanat. 2015 Feb 27;9:21.

Marlow, Heather, et al. “Larval body patterning and apical organs are conserved in animal evolution.” BMC biology 12.1 (2014): 1-17.

Segall J. E., Block S. M., Berg H. C. (1986). Temporal comparisons in bacterial chemotaxis. Proc. Natl. Acad. Sci. U.S.A. 83, 8987–8991

Stephenson-Jones M, Floros O, Robertson B, Grillner S. Evolutionary conservation of the habenular nuclei and their circuitry controlling the dopamine and 5-hydroxytryptophan (5-HT) systems. Proc Natl Acad Sci U S A. 2012 Jan 17;109(3):E164-73.

Stephenson-Jones M, Yu K, Ahrens S, Tucciarone JM, van Huijstee AN, Mejia LA, Penzo MA, Tai LH, Wilbrecht L, Li B. A basal ganglia circuit for evaluating action outcomes. Nature. 2016 Nov 10;539(7628):289-293. 

Tosches, Maria Antonietta, and Detlev Arendt. “The bilaterian forebrain: an evolutionary chimaera.” Current opinion in neurobiology 23.6 (2013): 1080-1089.

Watanabe K, Irie K, Hanashima C, Takebayashi H, Sato N. Diencephalic progenitors contribute to the posterior septum through rostral migration along the hippocampal axonal pathway. Sci Rep. 2018 Aug 6;8(1):11728. 

Wolf S, Dubreuil AM, Bertoni T, Böhm UL, Bormuth V, Candelier R, Karpenko S, Hildebrand DGC, Bianco IH, Monasson R, Debrégeas G. Sensorimotor computation underlying phototaxis in zebrafish. Nat Commun. 2017 Sep 21;8(1):651. 

Zhang BB, Yao YY, Zhang HF, Kawakami K, Du JL. Left Habenula mediates light-preference behavior in Zebrafish via an asymmetrical visual pathway. Neuron. 2017;93:914–28.

Essay 14: Obstacles and Food

Essay 14 simulates a dual-control slug that avoids obstacles and halts for food. The slug’s obstacle avoidance uses a Braitenberg vehicle circuit [Braitenberg 1986], and food halting uses primitive zooplankton behavior [Smith 2015]. The animal is called a slug because its base motion is a mucociliary sole, which moves without needing neural control. When the slug’s right sensor detects a wall, the left muscle contracts, turning it to the left. When the slug’s left sensor detects a wall, the right muscle contracts, turning it to the right. When the slug detects food, it halts briefly. The two control systems are entirely separate.

Food halting circuit

The animal pauses when it’s over food, similar to zooplankton behavior over algae or a Precambrian animal over a bacterial mat. Food-halting takes advantage of a refractory period to move slowly instead of halting entirely. A refractory period is a short time after a neuron of cell activates when it can’t fire or act until the period ends, a simple chemical timer.

The basic movement is motivated, meaning the animal moves without needing external motivation. It moves by default and only halts when it detects food. Note, the animal doesn’t move toward food; it only halts when it randomly is above food. The behavior is consuming not approaching.

Slug halting over food.

Because the food circuit leans on the refractory pause, its logic is trivial. Internal chemical timers of the cells provide a more sophisticated behavior than the circuit achieves on its own.

fn food_arrest_update(mut body: ResMut<Body>) {
    if body.is_sensor_food() {
        body.arrest(1.);
    }
}

Obstacle avoidance

The slug avoids obstacles by turning to the opposite side of the sensor. This navigation does not affect the basic locomotion from mucociliary sole. Instead it turns the entire body to modify locomotion without needing neural interaction.

Turning from an obstacle

Because both sensors activate when the slug hits an obstacle directly, the system needs to choose one direction. A simple choice prefers one direction for any conflict. In the vertebrates, some areas are asymmetric, such as the habenula. In the lamprey, the habenula is strongly asymmetrical, one side much larger and more sophisticated than the other. The habenula is associated with both motivation values and some navigation for escape, and it’s a primitive area in the midbrain that doesn’t rely on sophisticated cortical learning.

The essay’s code prefers the left sensor to the right one when there’s a conflict.

fn touch_muscle_update(mut body: ResMut<Body>) {
    if body.is_sensor_left() {
        body.set_muscle_right(1.);
    } else if body.is_sensor_right() {
        body.set_muscle_left(1.);
    }
}

Model meta discussion

With such a simple model, I think it’s important to ask what value the model provides. The code and logic itself is trivial. I think the model’s value is in focus, like a diagram for a model, showing what’s strictly necessary and exposing conflicts like the dual sensor when hitting a wall straight on.

The dual control system is a key concept. The [Arendt 2015] paper treats chemosensors and mechanosensors as fundamentally distinct cellular systems. The essay’s food halting system corresponds to the chemosensory cell types, and its obstacle avoidance system corresponds to the mechanosensory and muscle cells types of the skin.

References

Arendt D, Benito-Gutierrez E, Brunet T, Marlow H. Gastric pouches and the mucociliary sole: setting the stage for nervous system evolution. Philos Trans R Soc Lond B Biol Sci. 2015 Dec 19;370(1684):20150286. doi: 10.1098/rstb.2015.0286. PMID: 26554050; PMCID: PMC4650134.

Braitenberg, V. (1984). Vehicles: Experiments in synthetic psychology. Cambridge, MA: MIT Press. “Vehicles – the MIT Press”

Brooks, R.A. (1991), ‘Intelligence without Representation’, Artificial Intelligence 47, pp. 139-159.

Smith CL, Pivovarova N, Reese TS. Coordinated Feeding Behavior in Trichoplax, an Animal without Synapses. PLoS One. 2015 Sep 2;10(9):e0136098. doi: 10.1371/journal.pone.0136098. PMID: 26333190; PMCID: PMC4558020.

Powered by WordPress & Theme by Anders Norén