Behavioral Phenotyping in a Murine Model of GBA1-Associated Parkinson Disease

Mutations in GBA1, the gene encoding glucocerebrosidase, are common genetic risk factors for Parkinson disease (PD). While the mechanism underlying this relationship is unclear, patients with GBA1-associated PD often have an earlier onset and faster progression than idiopathic PD. Previously, we modeled GBA1-associated PD by crossing gba haploinsufficient mice with mice overexpressing a human mutant α-synuclein transgene (SNCAA53T), observing an earlier demise, shorter life span and faster symptom progression, although behavioral testing was not performed. To assess whether gba+/−//SNCAA53T mice exhibit a prodromal behavioral phenotype, we studied three cardinal PD features: olfactory discrimination, memory dysfunction, and motor function. The longitudinal performance of gba+/−//SNCAA53T (n = 8), SNCAA53T (n = 9), gba+/− (n = 10) and wildtype (n = 6) mice was evaluated between ages 8 and 23 months using the buried pellet test, novel object recognition test and the beam walk. Fifteen-month-old gba+/−//SNCAA53T mice showed more olfactory and motor deficits than wildtype mice. However, differences between gba+/−//SNCAA53T and SNCAA53T mice generally did not reach statistical significance, possibly due to small sample sizes. Furthermore, while gba haploinsufficiency leads to a more rapid demise, this might not result in an earlier prodromal stage, and other factors, including aging, oxidative stress and epigenetics, may contribute to the more fulminant disease course.


Introduction
Parkinson disease (PD) is a late-onset neurodegenerative disorder with a complex etiology, afflicting 2% of the population over age 65 worldwide [1,2]. It is primarily characterized by bradykinesia and tremor, and the pathological finding of Lewy bodies in the substantia nigra and brainstem. Lewy bodies are the abnormal conglomeration of multiple proteins, including α-synuclein and ubiquitin, although their exact role in PD pathogenesis remains unclear [3][4][5]. Evidence suggests that dysfunctional α-synuclein found in Lewy bodies may play an influential role in PD pathogenesis, as mutations in SNCA, the gene encoding α-synuclein, have been implicated in familial PD [6]. In past years, the PD field has attempted to explore the relationship between α-synuclein and a common genetic risk factor associated with PD: variants in the gene GBA1 [7].
Biallelic pathologic variants in GBA1 are associated with Gaucher disease (GD), a recessive lysosomal storage disorder characterized by a deficiency in the hydrolyzing lysosomal enzyme glucocerebrosidase (GCase) [8]. Impaired or deficient GCase leads to its inability to cleave its native lipid substrates, glucosylceramide (GluCer) and glucosylsphingosine (GluSph), into recyclable moieties. This results in their toxic accumulation in the lysosome, leading to a wide range of symptoms [9]. Remarkably, both GBA1 homozygotes and heterozygotes were found to have an increased incidence of PD and other Lewy body disorders. An international, multicenter study in 2009 found that patients with PD were over five times more likely to carry a pathogenic GBA1 variant than matched controls [10]. Studies of cohorts of with dementia with Lewy bodies (DLB) and Parkinson disease dementia (PDD) have similarly consistently found an increased frequency of GBA1 mutations, with an odds ratio of over 8 [11]. Furthermore, even patients with idiopathic PD were found to have lowered GCase levels in post-mortem samples, suggesting a correlation between GCase deficiency and PD [12]. However, the basis for this reciprocal relationship remains unclear. Furthermore, the reduced PD penetrance among GBA1 carriers, as well as the phenotypic variation among mutation carriers with PD, complicate the issue [13].
Research investigating the biological link between GBA1 mutations and PD has focused on how GCase dysfunction may promote or enhance the development of synucleiopathies. While both loss-of-and gain-of-function hypotheses have been posited, it has also been shown that, in vitro, GCase and α-synuclein directly interact in the lysosome, and that raising GCase activity in mice and iPSC cells results in reduced α-synuclein levels [14][15][16]. These studies highlight the potential for GCase augmentation as a therapy for not only GBA1-associated PD, but idiopathic PD as well. While treatments have been developed for patients with GD, including recombinant enzyme replacement therapy and substrate reduction therapy, they do not cross the blood-brain barrier. Since drugs improving neural GCase activity might also reduce α-synuclein levels and thereby improve PD prognosis, studies are underway to develop therapies that can overcome the blood-brain barrier and rescue neuronal pathology [17].
Animal models have often contributed to our understanding of disease pathogenesis and have facilitated drug development. Various attempts to model GBA1-associated PD in the mouse have included chemical models, genetic models and a mixture of both, as recently reviewed [18]. Genetic mouse models to elucidate the biological link between GBA1 and PD vary widely in mutation type and severity. Most GD murine models do not exhibit parkinsonian features unless combined with a second challenge, such as αsynuclein overexpression or prosaposin deficiency [19]. We and others have cross-bred gba haploinsufficient mice with mice carrying a mutated human α-synuclein transgene (SNCA A53T ) to exacerbate symptom progression and shorten survival time relative to SNCA A53T mice [20][21][22].
Comprehensive characterizations of these GBA1-associated PD mouse models have included neurochemical, immunostaining and, at times, behavioral evaluations [15,23]. Since different studies lack consistency in both the type of testing and the age at which it is performed, comparisons between different GBA1-associated PD mouse models are difficult. Additionally, since PD is an age-related neurodegenerative disorder, mice may only experience an observable decline in behavior later in life [24]. This study characterizes mice at different ages to evaluate memory, olfaction, and motor coordination as three prodromal behaviors in mice with gba haploinsufficiency and A53T α-synuclein overexpression [20]. These haploinsufficient mice with an SNCA A53T transgene (gba +/− //SNCA A53T ) have an earlier disease onset and a more rapid course than mice with SNCA A53T alone, but the age when phenotypic differences began was unclear. In this study, mice underwent longitudinal behavioral evaluations assessing three cardinal behavioral phenotypes seen in patients with PD: impairments in cognition, olfaction and motor coordination. Our aims were to identify behavioral changes that may precede the more overt, rapid decline in health of these mice, and to discern whether such prodromal signs were exacerbated by gba haploinsufficiency. While we found indications that behavioral deficits developed prior to overt symptomology in gba +/− //SNCA A53T mice, we did not find significant evidence suggesting that these mice had an earlier or more severe prodromal stage relative to SNCA A53T mice.

Novel Object Recognition (NOR)
The novel object recognition test assesses the memory of a mouse by measuring the amount of time the mouse spends near a novel object versus a familiar object. Mice with a functional memory will generally display a natural curiosity toward new objects by interacting more frequently with them, while those with memory problems will interact less frequently with novel objects. The results are quantified via a preference score, which is the percentage of time spent interacting with the novel object versus the total time spent interacting with either the novel or familiar object.
Both gba +/− and wildtype mice exhibited preference scores that stayed near 50% over the testing window, indicating a random interaction between the two objects ( Figure 1). Surprisingly, SNCA A53T mice showed preference scores near 50% at 8 months, with scores that improved over time, though not significantly relative to wildtype mice. In contrast, gba +/− //SNCA A53T mice demonstrated a novel preference score just under 50%, which decreased to around 40% after 15 months of age. This drop in preference scores of gba +/− //SNCA A53T mice after 15 months resulted in a lower overall slope compared to gba +/− and SNCA A53T mice, though the difference was not significant ( Figure 1, Table 1). Overall, these results suggest that gba +/− //SNCA A53T mice may develop memory deficiencies after 15 months, which are exacerbated relative to the other groups, though larger sample sizes may be needed to properly resolve whether the differences persist between these groups.

Novel Object Recognition (NOR)
The novel object recognition test assesses the memory of a mouse by measuring the amount of time the mouse spends near a novel object versus a familiar object. Mice with a functional memory will generally display a natural curiosity toward new objects by interacting more frequently with them, while those with memory problems will interact less frequently with novel objects. The results are quantified via a preference score, which is the percentage of time spent interacting with the novel object versus the total time spent interacting with either the novel or familiar object.
Both gba +/− and wildtype mice exhibited preference scores that stayed near 50% over the testing window, indicating a random interaction between the two objects ( Figure 1). Surprisingly, SNCA A53T mice showed preference scores near 50% at 8 months, with scores that improved over time, though not significantly relative to wildtype mice. In contrast, gba +/− //SNCA A53T mice demonstrated a novel preference score just under 50%, which decreased to around 40% after 15 months of age. This drop in preference scores of gba +/− //SNCA A53T mice after 15 months resulted in a lower overall slope compared to gba +/− and SNCA A53T mice, though the difference was not significant ( Figure 1, Table 1). Overall, these results suggest that gba +/− //SNCA A53T mice may develop memory deficiencies after 15 months, which are exacerbated relative to the other groups, though larger sample sizes may be needed to properly resolve whether the differences persist between these groups.
NOR preference scores did not correlate with beam walk latency, suggesting that motor dysfunction did not affect performance on the memory assay. Similarly, NOR results were not significantly associated with the time taken to find the buried pellet in the olfactory test ( Figure S1A).  NOR preference scores did not correlate with beam walk latency, suggesting that motor dysfunction did not affect performance on the memory assay. Similarly, NOR results were not significantly associated with the time taken to find the buried pellet in the olfactory test ( Figure S1A).

Buried Pellet Test
The buried pellet test measures the overall olfactory ability of mice by measuring the amount of time that a mouse takes to uncover a sweet-smelling buried treat from underneath a layer of bedding. Compared to wildtype mice, and SNCA A53T mice all exhibited increased latency to locate the buried pellet at age 8 months, though not statistically significant. Similarly, gba +/− //SNCA A53T , gba +/− , and SNCA A53T mice all showed reduced improvement over time relative to wildtype mice, though this too did not reach significance ( Figure 2, Table 1). Table 1. Results of the longitudinal mixed-effects models for the three behavioral parameters assessed. p-values comparing both the intercept (9-month baseline score) and slope values between genotypes are provided. Significant p-values (p < 0.05) are underlined and in bold. For all tests except the novel object recognition test, a more positive slope value indicates worsening performance over time.

Buried Pellet Test
The buried pellet test measures the overall olfactory ability of mice by measuring the amount of time that a mouse takes to uncover a sweet-smelling buried treat from underneath a layer of bedding. Compared to wildtype mice, gba +/− //SNCA A53T , gba +/− , and SNCA A53T mice all exhibited increased latency to locate the buried pellet at age 8 months, though not statistically significant. Similarly, gba +/− //SNCA A53T , gba +/− , and SNCA A53T mice all showed reduced improvement over time relative to wildtype mice, though this too did not reach significance ( Figure 2, Table 1).

Figure 2.
Olfaction latency over the 8-23-month testing window, measured based on the buried pellet test. Trend lines were calculated via LOESS regression. Colored fill represents standard error; colored points represent measurements, coded by genotype. Figure 2. Olfaction latency over the 8-23-month testing window, measured based on the buried pellet test. Trend lines were calculated via LOESS regression. Colored fill represents standard error; colored points represent measurements, coded by genotype.
Curiously, each group of mice showed an overall improvement in time taken to find the buried pellet over the 8-23-month testing window, which was largely driven by a marked upswing in performance across groups after month 19. This improvement was potentially a learning effect due to the repeated testing paradigm. Prior to month 20, gba +/− //SNCA A53T , gba +/− , and SNCA A53T mice all showed an increase in olfaction latency relative to wildtype mice, with the slope of the gba +/− //SNCA A53T mice reaching statistical significance (p = 0.028) (Table S1). However, there was no meaningful difference in baseline or latency change over time between gba +/− //SNCA A53T and SNCA A53T mice, indicating that gba haploinsufficiency did not significantly exacerbate olfactory symptoms (Table 1). Overall, these results suggest that SNCA A53T mice gradually develop olfactory deficits prior to the presentation of overt PD-like symptoms, though these symptoms are not significantly enhanced by gba haploinsufficiency.
Latency to locate a pellet did not correlate strongly with performance on the beam walk, indicating that motor dysfunction did not significantly impede the animal's ability to locate and extract food ( Figure S1B).

Traverse Beam Walk
The traverse beam walk assesses motor ability of the mice by observing their ability to walk across a thin, 48 inch-long beam. Motor function was assessed by measuring both the time taken to traverse the beam and the number of misplaced steps (slips) observed while crossing. SNCA A53T , gba +/− , and gba +/− //SNCA A53T mice were significantly slower at crossing the beam than wildtype mice after age 8 months (p = 0.005, 0.017, and 0.014, respectively), although there was no significant difference in the change of beam walk latency over time. This suggests that impaired motor performance may have developed prior to the 8-23-month testing window ( Figure 3A, Table 1). On the other hand, while all groups rarely slipped off the beam at 8 months, the change in slip frequency over time was statistically significant for SNCA A53T , gba +/− , and gba +/− //SNCA A53T mice when compared to wildtype mice (p = 0.0047, 0.0165, 0.0142) ( Figure 3B, Table 1). However, there was no significant difference in slips or beam walk latency between the three groups, suggesting that gba +/− //SNCA A53T mice do not exhibit exacerbated motor symptoms relative to the gba +/− or SNCA A53T mice.
Curiously, each group of mice showed an overall improvement in time taken to find the buried pellet over the 8-23-month testing window, which was largely driven by a marked upswing in performance across groups after month 19. This improvement was potentially a learning effect due to the repeated testing paradigm. Prior to month 20, gba +/− //SNCA A53T , gba +/− , and SNCA A53T mice all showed an increase in olfaction latency relative to wildtype mice, with the slope of the gba +/− //SNCA A53T mice reaching statistical significance (p = 0.028) (Table S1). However, there was no meaningful difference in baseline or latency change over time between gba +/− //SNCA A53T and SNCA A53T mice, indicating that gba haploinsufficiency did not significantly exacerbate olfactory symptoms (Table 1). Overall, these results suggest that SNCA A53T mice gradually develop olfactory deficits prior to the presentation of overt PD-like symptoms, though these symptoms are not significantly enhanced by gba haploinsufficiency.
Latency to locate a pellet did not correlate strongly with performance on the beam walk, indicating that motor dysfunction did not significantly impede the animal's ability to locate and extract food ( Figure S1B).

Traverse Beam Walk
The traverse beam walk assesses motor ability of the mice by observing their ability to walk across a thin, 48 inch-long beam. Motor function was assessed by measuring both the time taken to traverse the beam and the number of misplaced steps (slips) observed while crossing. SNCA A53T , gba +/− , and gba +/− //SNCA A53T mice were significantly slower at crossing the beam than wildtype mice after age 8 months (p = 0.005, 0.017, and 0.014, respectively), although there was no significant difference in the change of beam walk latency over time. This suggests that impaired motor performance may have developed prior to the 8-23-month testing window ( Figure 3A, Table 1). On the other hand, while all groups rarely slipped off the beam at 8 months, the change in slip frequency over time was statistically significant for SNCA A53T , gba +/− , and gba +/− //SNCA A53T mice when compared to wildtype mice (p = 0.0047, 0.0165, 0.0142) ( Figure 3B, Table 1). However, there was no significant difference in slips or beam walk latency between the three groups, suggesting that gba +/− //SNCA A53T mice do not exhibit exacerbated motor symptoms relative to the gba +/− or SNCA A53T mice.  As expected, there was a significant correlation between slip frequency and time taken to cross the beam (p = 0) ( Figure S1C).

Hindlimb Clasp
The hindlimb clasp (HLC) test is used as a marker of neurodegeneration in some mouse models, including those with certain cerebellar ataxias. Hindlimb clasp is assessed on an ordinal scale (0-3), with higher values indicating a more severe phenotype. In general, most mice within our cohorts showed no (0) phenotype or a mild (1) phenotype, with very few mice showing a moderate (2) or severe (3) phenotype. Of the 21 observations rated as moderate or severe, 18 (86%) were in SNCA A53T or gba +/− //SNCA A53T mice ( Figure 4A). As expected, there was a significant correlation between slip frequency and time taken to cross the beam (p = 0) ( Figure S1C).

Hindlimb Clasp
The hindlimb clasp (HLC) test is used as a marker of neurodegeneration in some mouse models, including those with certain cerebellar ataxias. Hindlimb clasp is assessed on an ordinal scale (0-3), with higher values indicating a more severe phenotype. In general, most mice within our cohorts showed no (0) phenotype or a mild (1) phenotype, with very few mice showing a moderate (2) or severe (3) phenotype. Of the 21 observations rated as moderate or severe, 18 (86%) were in SNCA A53T or gba +/− //SNCA A53T mice ( Figure 4A). Colored lines display the chance of exhibiting scores of 0 (no phenotype), 1 (mild phenotype), 2 (moderate phenotype), and 3 (severe phenotype). Graphs are segregated by genotype. Colored fill represents standard error.
Both SNCA A53T mice and gba +/− //SNCA A53T mice exhibited an increased HLC score when compared to wildtype mice (p = 0.027, 0.009; odds ratio = 4.39, 6.17), with mice showing approximately a 30% and 40% chance (respectively) to exhibit at least a mild phenotype by age 60 weeks ( Figure 4B). In contrast, wildtype mice exhibited an approximately 10% chance of exhibiting a mild phenotype by 60 weeks, which remained level over the testing period. gba +/− mice showed a slightly higher incidence of an abnormal phenotype relative to wildtype mice, though this did not reach significance ( Figure 4B, Table 2). Both SNCA A53T mice and gba +/− //SNCA A53T mice exhibited an increased HLC score when compared to wildtype mice (p = 0.027, 0.009; odds ratio = 4.39, 6.17), with mice showing approximately a 30% and 40% chance (respectively) to exhibit at least a mild phenotype by age 60 weeks ( Figure 4B). In contrast, wildtype mice exhibited an approximately 10% chance of exhibiting a mild phenotype by 60 weeks, which remained level over the testing period. gba +/− mice showed a slightly higher incidence of an abnormal phenotype relative to wildtype mice, though this did not reach significance ( Figure 4B, Table 2). Table 2. Results of the backwards ordinal mixed-model regression of hindlimb clasp scores. Odds ratio values indicate the chance that a given mouse genotype will have an abnormal HLC score relative to wildtype mice. Values in parentheses represents the 95% confidence interval. p-values comparing incidence of abnormal HLC score between genotypes are also provided. Significant p-values (p < 0.05) are underlined and in bold.

Discussion
This study characterized the age-related behavior and motor function in gba +/− //SNCA A53T mice compared to their controls (gba +/− , SNCA A53T , and wt), with the goal of evaluating whether earlier disease manifestations were apparent in gba +/− //SNCA A53T mice, analogous to the prodromal signs observed in patients with GBA1-associated PD. Discerning PD early in the disease course could aid in identifying disease biomarkers, and in understanding the disease pathogenesis. Furthermore, such findings could serve as endpoints for evaluating therapies for PD. We did observe significant differences in olfaction, slip frequency over time, and hindlimb clasp between gba +/− //SNCA A53T and wildtype mice. We also found that gba +/− //SNCA A53T mice tended to have more challenges with the beam walk latency and memory performance test than wildtype mice, although the values were not statistically significant.
Various studies have shown that patients with PD carrying GBA1 mutations have an earlier average age of onset and a more rapid disease course relative to those with idiopathic PD [25][26][27]. Similarly, gba +/− //SNCA A53T mice have an earlier age of onset and a faster time to death compared to SNCA A53T mice [20]. However, it was unclear whether GBA1 mutations in PD conferred a more severe deterioration of prodromal features relative to non GBA1-associated PD in mice or humans. In this study, there were no significant differences between the early performance of gba +/− //SNCA A53T mice and SNCA A53T mice, suggesting that gba haploinsufficiency may not exacerbate prodromal symptoms in these mice. Some clinical studies have similarly found no difference when comparing motor and nonmotor symptoms of GBA1-associated PD cases versus idiopathic PD [28], although the literature is conflicted in this regard [29].
However, it is plausible that the testing frequency incompletely captured the behavioral decline of gba +/− //SNCA A53T mice, which may have progressed with more rapidity in the weeks or days prior to overt symptomology. Notably, overt symptomology progresses much faster in gba haploinsufficient SNCA A53T PD mice, where symptoms develop within a few hours prior to death, while SNCA A53T mice may survive up to a week after presentation of overt symptoms [20]. If gba +/− //SNCA A53T mice similarly experience a more rapid and severe decline in behavioral symptoms within the weeks prior to death, a monthly testing frequency may have been insufficient to fully reveal the extent of the behavioral decline.
It was indeed surprising that gba +/− mice appeared to have diminished performance on the beam walk and olfaction tests, despite never developing PD-like pathologies such as α-synuclein aggregation or dopaminergic neuron depletion [20]. This may suggest that gba haploinsufficiency has some effect on these modalities, independent of SNCA A53T overexpression. More recent studies have found support for this hypothesis, identifying subtle reductions in olfaction and motor coordination in GBA1 mutation carriers and GD homozygotes relative to healthy controls, even without progression to clinically diagnosed PD [30,31].
The behavioral pattern observed with the gba +/− //SNCA A53T mice is consistent with other mouse models of GBA1-associated PD, such as the gba L444P/L444P and gba D409V/wt point mutation models. gba D409V/wt mice exhibit an age-dependent cognitive decline at 12 months of age on the Y-maze and Morris Water Maze, two assays designed to assess memory and learning [24]. While investigators tracked behavior from 3 to 12 months of age, behavior was not followed after one year. Mice with SNCA A53T have previously been shown to perform poorly on the NOR and buried pellet test compared to their wildtype controls [32].
Other parameters that may contribute to the behavioral decline observed are anxiogenic and dysphoria-like measures. Anxiety and depression are common comorbidities associated with PD in patients, and some PD mouse models similarly exhibit evidence of anxiety and depression-like behavior on the open field test and forced swim test [33,34].
Ultimately, the data presented here suggest that early signs of parkinsonism can be observed in gba +/− //SNCA A53T mice, as reflected by their hindlimb clasp and less favorable performance in memory, olfactory, and motor assays. However, this performance was not statistically different than that observed in SNCA A53T mice, indicating that gba haploinsufficiency, while leading to an earlier demise, may not have an earlier or more severe prodromal phase. One major shortcoming of this study was the limited sample size, which may have made it difficult to obtain statistical significance with small differences. Furthermore, in this study, the age at symptom onset in SNCA A53T mice was quite variable, and thus comparisons at uniform timepoints may not reflect the same stages in disease progression. In retrospect, the study may have benefited from the performance of secondary assessments of olfaction and memory.
The lack of significant differences in prodromal behavior between SNCA A53T mice with and without a null gba allele may indicate that the enhanced symptom severity observed in this model may not have had an earlier start. This suggests that a combination of gba haploinsufficiency and other factors, such as aging, oxidative stress, and epigenetics, may contribute to the onset and disease duration in this mouse model and merits further evaluation. Regardless, this study provides a crucial longitudinal assessment of this mouse model's motor and nonmotor phenotype, and suggests that olfaction may be a useful endpoint when evaluating therapies in gba +/− //SNCA A53T mice.

Testing Schedule
The behavioral battery was comprised of three tests, run on separate days during the course of one week. Mice were tested once every other month between ages 8 and 14 months. As they approached the terminal endpoint age described in [20], testing increased in frequency to monthly until 22 months of age.
Mice were tested first with the novel object recognition assay, next with the buried pellet test, and lastly with the beam walk assay. Mass and hind limb clasp scores were recorded monthly.

Novel Object Recognition (NOR)
The NOR assay was performed as described [35]. Briefly, mice were habituated in an 18 × 18 × 11 inch plastic arena with two identical ("familiar") objects (glass bottles and small blocks) placed on either side of the arena. Objects were selected to be heavy enough to resist movement and tall enough to prevent the mouse from climbing on top. Mice were permitted to interact with the arena for 5 min before being returned to their home cage. Then, 24 h later, mice were reintroduced to the cage where one of the objects was exchanged with a novel object of similar size but with different features. Novel object location was randomized using a random number generator. The amount of time spent interacting with the novel and familiar object during a five-minute interval was measured using a camcorder recording from above and analyzed using TopScan 3.0. Mice were excluded from analyses if they exhibited freezing behavior for 60 consecutive seconds, interacted with either object for less than 2.5 s, or interacted with either object for more than 120 s. Preference score was calculated as follows: Score (%) = (Time Novel )/(Time Novel + Time Familiar ). Different objects were utilized for each NOR assay.

Buried Pellet Test
Prior to testing, mice were habituated to the artificially sweetened flavored dry cereal Froot Loops in their home cage. Olfaction tests were conducted after an 18 h fast [36][37][38]. Weight loss never exceeded 10% of the mouse's weight ( Figure S2). After their fast, mice were placed in a new cage with 1 inch of fresh bedding. Froot Loops were buried approximately 0.5 cm under the bedding at one of ten random spots in the cage, selected using a random number generator. Mice were placed in the center of the cage and the amount of time required to locate the buried cereal was recorded. If the mouse interacted with the Froot Loop but did not eat it, it was assumed that it was not motivated to search for food and the data were excluded from that month's trial. After the trial, mice received food ad libitum once again. Water was provided freely during the entire food restriction period.

Traverse Beam Walk
Mice were placed on one end of an elevated, rounded narrow beam 0.75 inches in diameter, 8 inches in height, and 48 inches in length, and were exposed to bright, aversive light at the starting point. As the mouse traversed the beam from the exposed start point to the darker finish point, motor coordination was assessed by measuring the number of slips (defined as foot placement below the lower half of the beam) and the time required to traverse the beam [39]. Mice were tested three times per month, and the time taken to traverse the beam and slip frequencies were averaged.

Hindlimb Clasp Score (HLC Score)
The HLC score was evaluated weekly, starting from age 14 months. HLC is an indicator of cerebellar ataxia and precedes the symptomatic onset of hindlimb paralysis [40]. Briefly, mice were suspended over their home cage by their tails for 10 s and assessed using the following scale: 0 = limbs are consistently splayed outwards for 10 s; 1 = one hind limb is retracted towards the abdomen, or is touching the abdomen for 5 s; 2 = both hind limbs are retracted towards the abdomen, or are touching the abdomen for 5 s; and 3 = both hind limbs exhibit consistent clasping, or are touching the abdomen, for 10 s.

Statistical Analysis
For beam walk and olfactory tests, between-group effects were analyzed with longitudinal linear mixed models using the package lme4 (Version 1.1.23) in R (Version 4.0.2). Novel object recognition preference scores were analyzed with a beta-distributed, generalized linear model using the package glmmTMB (Version 1.0.2.1). In each model, genotype (gba +/− //SNCA A53T , SNCA A53T , gba +/− , and wildtype), time (8-23 months), and the genotype-time interaction were included as fixed effects, and slopes and intercepts were allowed to vary by mouse ID. Models were fit using the maximum likelihood estimator.
Hindlimb clasp data were analyzed with a backwards ordinal continuous ratio model using the package GLMMadaptive (Version 0.8) in R. As suggested, in the ordinal mixedmodel vignette, hindlimb clasp scores were transformed into cohorts HLC ≤ 1 and HLC ≤ 2 and fitted to the model HLC~cohort + genotype + age using a binomial mixed-model regression. Intercepts were allowed to vary by mouse ID.
Correlation between measured parameters were also analyzed with mixed-effects models using the packages referenced above. In each analysis, one parameter was used as the dependent variable and the other was included as a fixed effect, with slopes and intercepts allowed to vary by mouse ID.